diff --git "a/data/dm_maths/full_data/184_11255.jsonl" "b/data/dm_maths/full_data/184_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/184_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1790, -460, -23 in ascending order.\nAnswer: -1790, -460, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 3 (c) -708014\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*5\/(-2)*-2. Let n = o - -10. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 39 = -611*w + 608*w, 48*w = 5*m - 270 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7891883, -7891882, -7891881, -7891880, -7891879?\nAnswer: -7891878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592983.\nAnswer: 3, 41, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17565261 - 11.81.\nAnswer: -17565272.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 7. What is o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**6\/240 - y**5\/60 + y**4\/6 + 2*y. Let g(n) be the third derivative of w(n). Find the first derivative of g(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30*c - 8262 = 0. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*m**4*w - 39926*k*m**3*w**2 + 59*k*m**2*w + k*m**2 + 162*k*w**2 + 2*w**2 wrt m.\nAnswer: -48*k*m*w - 239556*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 7. Let s(k) = k**2 - 5*k - 2. Let p be s(g). Suppose 4*n + 4 = c, 4*n + 1 = 3*c - 3. Solve o - r - p = -c, -2*o + 4*r = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 250 + 50 = 0. Let z = q + -79. Which is smaller: -20 or z?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.249 and 1?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 128471444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116419*h**3 - 183*h**2 + 28*h wrt h.\nAnswer: -698514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from {j: 5, x: 7, r: 2, a: 4}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366728 - -366744.0151. Round u to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 40, -13, 7, 1 in ascending order.\nAnswer: -13, 1, 4, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from ljmljlp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2277 + 2908 - 297 - 69)*(-4*m**5 + 0*m**5 + m**5).\nAnswer: -14457*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p - 171. Give q(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*a, -3*a + v = 3 - 19. Find k, given that 0*k**3 - 2 - 2*k**3 + k**5 + a*k**2 + 40*k - 39*k - 2*k**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -32, -52?\n\"Answer: -20*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**4 + 0*u**3 + 0 + 0*u + 1\/420*u**5 + 9*u**2. What is b in j(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37878305 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 4. Let d(m) be the second derivative of 139*m**4\/6 + 2*m + 16. What is d(j(z))?\nAnswer: 1112*z**4 - 4448*z**2 + 4448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.075 and -682555529.\nAnswer: -682555528.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 620522224, 620522228, 620522234, 620522242, 620522252, 620522264?\n\"Answer: g**2 + g + 620522222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8482 = 1136*g - 144*g + 4414 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 4*s. Let i be j(4). Suppose -v = 4*k - i - 10, -3*v = 3*k - 48. Suppose 0 = 2*a - 10 - 4. Solve 4*n + v = -2*h, 2*n - a*n = 3*h + 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3531)\/(-214) - (16 - 2))*(-1)\/(-10). Let -v*c**5 + 3\/2*c**2 - 1\/4*c**3 + 0 - c**4 + 0*c = 0. Calculate c.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4764*a**2 + 2390*a**2 + 2378*a**2 - 4*a**3 + 3*a + 3*a**3 + 799 in the form b*a**2 + l*a + w + i*a**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - -4346?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 2. Give m(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 35*f**3 + 49*f**2 - 49*f - 420. Let x(a) = 3*a**3 + 4*a**2 - 4*a - 35. Let k(n) = -4*h(n) + 49*x(n). What is the first derivative of k(l) wrt l?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 2, -171 in decreasing order.\nAnswer: 2, -0.1, -1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 24552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103\/(-618))\/(9\/(-24))*(-9)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*m - 6090 = 504 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-10)*b)*b*b**(2\/27)*b**2*b**(-1\/4)\/b assuming b is positive.\nAnswer: b**(1169\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (14 + 165 + -10). Sort k, -5, -1.\nAnswer: k, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -65 (b) 3\/2 (c) 2 (d) 16 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a**4 + 168*a**3 + 7547*a**2.\nAnswer: -264*a + 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/6, 168746.254?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.4, -1\/5, -26, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) + 2\/5. Let m = 9 - 10. Let j(g) = -2*g**3 + g**2 + g. Let i be j(m). Sort 0, r, i in descending order.\nAnswer: i, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2700 divide 936508500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*s = -3*f + 472, f - 160 = -3*s. Suppose -3*u + 217 = f. Solve 0 = 6*w - 27 + u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*l**2 + 742*l**2 - 1 - 373*l**2 + 32*l as s*l**2 + z*l + f and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 31.9.\nAnswer: -28.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (30 - 11) + -76?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85516, -171049, -256568, -342067, -427540, -512981?\nAnswer: -598384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470467000 rounded to the nearest 1000000?\nAnswer: 2470000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 5*c - 10. Let y(h) = h**2 + 4*h - 3. Let i be y(-6). Let p = i + -2. Does 4 divide a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/270 and -47\/450.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-12 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 41*f + 244 = 36*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 9:27 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 11632678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 6*u**2 - u - 2. Let j be -7 + (-20)\/(-3) + 128\/6. Suppose -4*y = 4*h - 4, j*h + 4*y = 23*h - 32. Give c(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131156 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36320272 to the power of 1\/2, to the nearest integer?\nAnswer: 6027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*c**4 - 143*c**3 + 143*c**3 + 0*c**4 - 2*c**4 + 3*c**4 + (-c**3 + c**3 - c**3)*(-3*c + c + 0*c))*(-3 + 2 - 1).\nAnswer: 94*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6321515461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let p be 3 + 2 + -4 - y. Suppose -5*d - 4*m + 164 = -d, p*d = -3*m + 166. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbitbtctbtbtibtttc. Give prob of picking 2 c and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(2\/7)\/t*t))**(-2\/3))**(5\/3) assuming t is positive.\nAnswer: t**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 519 + 514 - 2*j**2 + 0*j**2 - 9*j - 2*j**2. Let q = -2 + -5. Give x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 864*c**2 - 553824*c + 8. Determine y(641).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fof when three letters picked without replacement from {o: 5, f: 7, y: 2}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-420)\/247203) + 0. Let u = s - -2946. What is the common denominator of -23\/5 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 35*x - 234. Let q be i(-26). Suppose l - 2*r - 5 - 8 = 0, 5*l + 3*r = q. Let t be 6\/44*4\/6. What is the biggest value in -3\/5, l, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 9*q**2 + 7*q - 4. Let a be k(-8). Suppose 20 = -a*m, 4*m + 0 = 3*f - 26. Solve -f*v + 12 = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 7*h**3 + 4. Let m(z) = -4*z + 5. Let p(y) = 5 + 1 - 2 + 24*y - 27*y. Let q(r) = 4*m(r) - 5*p(r). What is q(j(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*t = 1698 - 357 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - -0.8. Which is the nearest to 0? (a) 2\/5 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 16. Is (h - 7)*1*-121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1 + (-11 - -14). Suppose s = c + x - 6*x + 11, -x - 5 = -c. Solve -5*n = 3*u - 4 - c, -6 = -3*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.80432 + -20.504326. Let f = o - -1.7. What is f rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 143061?\nAnswer: -143055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 5*p. What is the remainder when 2\/2 - (-6 + -3) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 9 = b, 48*k = 47*k + b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1944 and 97544736?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109561 or 109562?\nAnswer: 109561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2972548 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10053, 20105, 30157?\n\"Answer: 10052*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**2 - 1\/30*n**5 - 1\/210*n**7 + 0*n**4 + 0*n + 0 + 0*n**3 + 0*n**6. What is the third derivative of v(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*v - 2 + 1, -2*v = 5*k - 8. Suppose 0 = 3*p + k*p + 3*h - 15, 0 = 2*p - 3*h - 27. Let r = 38 - p. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 54.72132 centuries?\nAnswer: 5.472132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 144*f - 5*f**3 - 22*f + 10*f**3 + 2*f**4 - 7*f**3 as q*f**4 + u*f**3 + g + n*f + w*f**2 and give n.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471.9 - 494. Let g = 11.3 + t. Let d = g - -10.7999947. Round d to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/350 - f**6\/100 - 9*f**5\/100 + f**4\/20 + 4*f**3\/5 + 17*f**2 + 93*f. Solve r(u) = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 37321*n**4\/3 + 4*n**3 - 4*n**2. Let c be p(7). What is c rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 17*c - 32. Let b(w) = 2*w**2 + 8*w + 16. Let u(f) = -7*b(f) - 3*n(f). Let g be u(9). Solve -5*l - g + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 + 6*p - 2. Let g be w(5). Let s = 4.94 - -0.06. Which is the closest to 1? (a) 4 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from {y: 2, i: 5, h: 2, d: 2, m: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qihq when four letters picked without replacement from uuuhiuqiihqqwwhuwuh.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211101223102 (base 4) to base 12.\nAnswer: -3332b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 + -3 - (-5 + (4 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 98*v**2 - 2*v - 101*v**2 - 3*v**3 + 197*v**2 to u*v**2 + x*v**3 + p + c*v and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*-3*sqrt(171) - sqrt(171)) + 1*(sqrt(171) + sqrt(171) + -1 + sqrt(171)) + 2)**2.\nAnswer: -120*sqrt(19) + 68401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89698 and 16.\nAnswer: 717584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 60060?\nAnswer: 240240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48389 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 6. Let j(g) = 5*g**3 - 11. Let z(c) = c**3 + c**2 - 12*c - 11. Let v be z(-4). What is v*f(h) + 6*j(h)?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j - 5 = 0. Suppose -l = -j*l - 140. Let o = l - -50. What is the remainder when 29 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t. Let b be (10\/(-4))\/((4\/(-8))\/(-1)). Determine w(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i + 73. Let t be b(7). Solve 5*j + m - 21 = 0, j - t*m + 8 = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -16\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(1\/8)))*s)**(-11\/3) assuming s is positive.\nAnswer: s**(-187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44319, -44321, -44323, -44325, -44327?\n\"Answer: -2*g - 44317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/6 + b**3\/6 - 3*b**2\/2 - 3*b. Suppose 5*t - 36 = 39. Calculate the remainder when z(-5) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2546*u**4\/7 + 8366*u**3\/7 + 1036*u**2 + 1384*u\/7 - 48\/7 = 0. What is u?\nAnswer: -2, -1, -6\/19, 2\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d**3 + 47972*d**2 - 12595224*d + 16708320 = 0. Calculate d.\nAnswer: -4245, 4\/3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385998 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1073, 4, -1577, -0.5 in descending order.\nAnswer: 4, 1, -0.5, -1073, -1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*d = 9 + 13, -5*d = 3*l + 106. Let g = 34 - l. Calculate the highest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n + 41*n - 639 + 19*n + 204 + 437.\nAnswer: 16*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0699 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 21 + 13 + -25 + (7 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 45 + 45. Let i(g) = -20*g + 12. Let j be i(7). Calculate the common denominator of c and (-675)\/(-24) + (-48)\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6125 (base 10) to base 2\nAnswer: 1011111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 6. Let x = -6 - q. Let y be 22\/(-70) + 6\/(-21). Sort -1\/2, x, y.\nAnswer: y, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1344 (b) -63 (c) 0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 21*c**2 - 13*c - 18. Let s be j(-11). Let x be 610\/(-4) + (-15)\/(-6). Let h = 158 + x. Solve 3*q = s + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c49c9 (base 14) in base 5?\nAnswer: 110131114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 24*h**2 + 35*h - 56. Let s be g(23). Calculate the greatest common factor of s and 18700.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/31639503?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-510)*-75)\/(((-30)\/63)\/(-1))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleeltzfeenlelefefzf. What is prob of picking 2 e?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1651.7? (a) -1\/5 (b) 2\/371 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**2 + 24*o - 7\/3*o**3 + 0 + 0*o**4 + 0*o**5 - 13\/15*o**6. What is the second derivative of t(a) wrt a?\nAnswer: -312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5476784.\nAnswer: 2, 342299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(7\/3)\/(w\/(w\/w**25*w*w)) assuming w is positive.\nAnswer: w**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6922, -6930, -6942, -6958, -6978, -7002, -7030?\n\"Answer: -2*f**2 - 2*f - 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 31*f. Give d(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(4455\/(-783)) - 66\/(-12)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 2*m**2 - 11*m - 3. What is the units digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbrf when four letters picked without replacement from {y: 2, l: 1, x: 3, b: 5, f: 8, r: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + 3*sqrt(156)*-1 - (5*(sqrt(156) + 2*sqrt(156)) + sqrt(156)))\/((sqrt(60) - (1*sqrt(6000) + sqrt(6000)) - sqrt(60))\/sqrt(5))*-5.\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -27. Suppose 4*z + 4*p - 30 = -p, a*p = -z + 11. Suppose -11*j = -z*j - 138. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861 is divided by 430?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose 2*i - 3*i + m = 0. Suppose 4*x - i*z = 57, -x - z = -16 - 7. Calculate the least common multiple of x and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -ea30d (base 15) to base 14\nAnswer: -154bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 11) + 10 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - -242?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849807*o**2 - 2849807*o**2 + 229*o**3 + 677*o**3.\nAnswer: 906*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594184 a multiple of 356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (21 + -3 - 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (-1 + 13 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 1, 441, -3, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2239 - 799?\nAnswer: -3038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -8. Suppose g + u*b - 40 = 0, b = -5*g + 2*b + 95. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/3*15\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(12 + -5 - 3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 2*n - 130 = 0, 2*t + 5*n + 95 = 69 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 262 = v + 3*v, 6 = -2*a. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 22. Let r = -9 - i. Let u(a) = -a**3 + 5*a**2 - 4*a. Let m be u(r). Is 0 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/7))**(-19\/4))**(-20))**(4\/29) assuming v is positive.\nAnswer: v**(760\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687900 is divided by 222.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 19*c + 90 = 0. Suppose -3*m = -2*g - c, 0*g - 23 = -5*m + g. Suppose -m*u - 1036000 = -0*u. What is u rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {b: 1, k: 5, v: 1, g: 2}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g + 4. Suppose -2*x + 0 = 6. Let p be t(x). Let c = 3 + p. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 - 25*o**2 + 6 + 25*o**2 + 2*o + 3*o**3 - 2*o**3 + 11*o**2 to f*o**2 + q*o**3 + l + h*o and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26563134 by 46358.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5637318355 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1057070*d - 1056958*d - 1008 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1449487?\nAnswer: -1\/1449487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -d13?\nAnswer: -d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18445 - 16.41\nAnswer: -18461.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-2)\/4 - ((-312)\/16 + 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 95 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 + -3.2. What is the closest to 2\/3 in 3, y, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 + 470. Let t = i - 73. Let k = t + -83. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-260015)\/(-4370))\/(85\/70)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 - 15*b**2 + 0*b**3 + 8 - b**3 + 8*b. What are the prime factors of i(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -77 (b) -6 (c) 1\/5 (d) -0.3 (e) 229 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 33. Let n be k(15). Suppose n*w - 15 = 0, -o = -0*w - w + 3. Let c(i) = -9*i**3 - 5 + 2 + 2*i + 10*i**3. Calculate c(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4 + 316*o**3\/5 - 17528*o**2\/5 - 5808*o + 2880 = 0.\nAnswer: -60, -2, 2\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 3}. What is prob of picking 3 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2\/7 (c) -1\/4 (d) 0.9 (e) -114 (f) -0.3 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-3\/8)*b))\/(b\/b**(3\/10))*(((b*b*b**2\/b*b)\/b)\/b)**48)\/((b\/(b**5\/b*b))\/b**(-2\/11)*(b**0)**(-1\/12)) assuming b is positive.\nAnswer: b**(43337\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44716340, -44716337, -44716334, -44716331, -44716328?\n\"Answer: 3*j - 44716343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*o**5 - 284*o**2 - 4*o**3 + 284*o**2 + (7 + 23 - 1)*(-o**5 + 6*o**5 - 10*o**5).\nAnswer: -177*o**5 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*u**3 - r**3*u**2 - 237*r**3 + 13*r**2*u + 28036*r*u**3 + 4*r*u**2 wrt u?\nAnswer: 18*r**3 + 168216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -21 (b) -2\/7 (c) 1\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v**3 - v**2 + 1. Let b(t) = 82*t**3 - 59*t**2 - 3*t + 5. Determine -b(p) + 6*q(p).\nAnswer: 2*p**3 + 53*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -383194*o**3 + 2*o**2 + 21*o + 1417.\nAnswer: -2299164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - t + 61 - 2*t**2 - 2*t**3 - 2*t**4 - 126 + 2*t to j + z*t**4 + r*t**3 + o*t**2 + q*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26406120 divided by -677080\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614271910?\nAnswer: 2, 5, 7, 29, 302597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (14 + -1) - (-85 + 65 + -49).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/75 - ((-124)\/30 - -2). Let r(u) be the first derivative of -1\/9*u**6 + 0*u**s - 2\/5*u**5 + 0*u + 3 - 1\/2*u**4 - 2\/9*u**3. Factor r(m).\nAnswer: -2*m**2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2011853, -2011850, -2011847, -2011844, -2011841?\n\"Answer: 3*o - 2011856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 7*f**5 - 3*f**5 + (f**3 - 3*f**3 + 0*f**3)*(-5*f**2 - f**2 + 3*f**2) + 3 - 3 - 2*f**5.\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-322))\/(33002\/(-406) - -81)\nAnswer: 24\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 5*d, 2*d - 7*d = -3*z + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 41, 51, 61?\n\"Answer: 10*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33 and 1596.53426222.\nAnswer: 1563.53426222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 14) in base 4?\nAnswer: 12130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from {r: 4, w: 1, y: 2, v: 1, h: 3, c: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 67*t - 231. Let q(z) = 7*z - 76. What is q(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzzhyay. What is prob of picking 1 a and 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = 2*f + 3*f, 4*f - 36 = 5*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92597 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114198056 - -0.3.\nAnswer: 114198056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from ddldqdqlqrdd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23373 equal to -23388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:57 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -2\/5, -1, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24236423 rounded to 4 decimal places?\nAnswer: -1.2424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 2*q + q + (3*q + 0*q + q)*(-2 + 5 - 2) - 160*q - 884953 + 884953 + 3 - 4 + q + 0*q to the form p + c*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(76)\/sqrt(4) + 5.\nAnswer: sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, o: 12}. Give prob of picking 2 o and 1 u.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-26)*16\/6 + -196. Let b = t + 202. Suppose 4*u + 2 = 10. Calculate the lowest common multiple of b and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - (-1 - -2)*-1. Let o be -1*(n + 2\/(-1)). Is 4\/6 - (-146)\/o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -14, -3, 5 in decreasing order.\nAnswer: 5, -3, -14, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f + 7. Suppose -5*b = -5*h - 55, h + 27 = 2*b + b. Let u be q(b). Suppose u = -2*n + 255. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5358*f + 3103*f + 2561*f.\nAnswer: 306*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80624268 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 21901*r - 6.\nAnswer: -21901*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 65, 42, -1, -70, -171?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/7 - 2353790*p\/7 - 153004800\/7 = 0.\nAnswer: -65, 1176960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156*f**2*k*t + 11*f**2*k - f**2 - 1792*k + 3*t wrt f?\nAnswer: 312*f*k*t + 22*f*k - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 5, 1, -6 in ascending order.\nAnswer: -6, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 4800.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 2*b + 6. Let n be z(5). Let i = -6 - n. Suppose v + i = 4. Solve -4*j + 19 + v = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-4 + 0) + 3. Let z be g*925\/(-3)*-12. Round z to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 597353520 + -180836799. Let i = q - 416516627.9999922. Let s = i - 93. Round s to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24075519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((2 + -1)\/(4\/88)). Let y = -0.8 - -0.5. What is the nearest to -3 in -3, y, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114904 is divided by 304?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 372051 (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = 2. Calculate the common denominator of n\/2 - (-102)\/(-8) and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -102*k + 101*k - 5*n, 0 = -99*k - 4*n + 194 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 130.6 (b) -6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/4*(-15 + 106\/6). Solve 15 = q + 5*w, q + 7*w - a*w = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417552.\nAnswer: 2, 3, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 65. What are the prime factors of 522 + d + 54\/(-9) + 9?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 51278970?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48725b + -5?\nAnswer: 487256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 85. Let p be s\/42 + (-1626)\/126. Put -5, 5, p in decreasing order.\nAnswer: 5, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(5*r - 12*r - 6*r) + (2*r - r + 2*r)*(-1 + 2 + 0) to the form y*r + q and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/73)))\/o*o\/(o*o\/(o\/(o\/(o*o**(-2\/15)\/o))*o*o)) assuming o is positive.\nAnswer: o**(-116\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {j: 1, v: 1, m: 1, f: 1, y: 2, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 20*t + 25*t = -3 + 17 + 9, 5*o + 6*t = 9*t - 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(76) + -2 + (-1*sqrt(76))**2 + sqrt(76)) + 1 + (sqrt(76) + -2 + -3)**2.\nAnswer: -8*sqrt(19) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 24*p + 375. Let q be n(-15). Solve 0 = -8*o + 7*o - 3*z - q, -4*z - 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Let m(p) = 17 + 2*p + 7*p**2 - 8*p**t - 20*p. What is the tens digit of m(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021179 rounded to seven decimal places?\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 384. Suppose -40 = -15*u + 20. Suppose -l - 474 = -5*y, u*y + l = 3*y + d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -0*o - a + 7, -5*a = 4*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-65)*1736\/1344*-156.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.1 (b) 1\/6 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 30*t - 4. Calculate the remainder when i(2) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 242*z**3 - 31*z - 275. Let u(t) = -48*t**3 + 6*t + 55. Calculate 6*d(s) + 31*u(s).\nAnswer: -36*s**3 + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 45. Let x(r) = -r**3 - 5*r - 2. Let m(u) = u. Determine d*x(h) + 6*m(h).\nAnswer: -h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:03 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4393*n + 1303*n + 1786*n + 1303*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25531272*t**3 - 920*t**2 + 4322?\nAnswer: -153187632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 = o, -6*o - 8 = -2*a - o. Let z be (-5 + a)\/(2\/(-3)). Let b = 43 - z. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/6)\/((-8)\/396) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2109 (base 10) to base 7.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/30 + 52*p**2. Let i(o) = 2*o - 2. What is n(i(h))?\nAnswer: -8*h**2 + 16*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729384 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (1 + 13 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43536969?\nAnswer: 3, 7, 691063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 15. Let m(b) = -6*b + 15. Let r(a) = -4*m(a) - 5*v(a). Suppose 2*x = -33 + 33. Calculate r(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 367*p\/4 + 61\/2.\nAnswer: (p + 122)*(3*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -59 (b) -1\/3 (c) 19.7 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223090 - 135574. List the prime factors of r.\nAnswer: 2, 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -72. Suppose 5*g - 5 = -5*c, -5*g - 1 = 14. Suppose 10 = 2*k + i, -3*i - 8 = -c*k - 8*i. Is u < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13049, 26096, 39155, 52232, 65333, 78464, 91631, 104840?\n\"Answer: g**3 + 13040*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)*(2 - 2223). Let u = 11069\/5 - n. Find the common denominator of u and -44\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*p**2 - 124*p**2 - 116*p**2 + 305*p**2 to the form j*p + d*p**2 + l and give d.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*v = -71, 23*h - 33*v + 29*v = -122 - 38 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062306 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -32*s + 171 + 810 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5402 = -11880. What are the prime factors of w?\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06848 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317301 (base 10) in base 7?\nAnswer: 104460534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 44 = 7171*a - 7167*a, -4*c - 2*a = 38 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 7*r - 2. Let l(i) = -2*i - 10. Let v be l(-8). Let o be p(v). Put 2\/5, -2, o in descending order.\nAnswer: o, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299987497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose 6 = h*p + p. Suppose z + p = 15. What is the greatest common factor of z and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110306 a multiple of 798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-36))\/((-5)\/((-10440)\/(-24))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*u = -12, u - 2*u = 5*t - 15. Find the third derivative of -s**2 + 3*s**2 + 0*s**6 - 4*s**6 + t*s**6 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2371 - 2363. Suppose -284 = -5*z - 89. What is the remainder when z is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 - 3*b - 6. Let o(i) = -i**3 + 3*i**2 - 2*i - 5. Let x(t) = -4*o(t) + 3*v(t). Let w be x(6). What is the units digit of (10 + w)*12\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 4*z - 4*z)*(208 + 210 - 419 + 72*z).\nAnswer: 144*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - a. Let q be d(-1). Let l be 5\/q + (-6)\/(-18). What is the second derivative of 9 + 4*g**3 - 2 - 7 + l*g wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {w: 1, s: 2, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/77 - 48\/(-504)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*k + 22, 31*k = 5*d + 32*k - 18. Let o(j) be the first derivative of -11 - 1\/3*j**3 + 0*j + 1\/4*j**d - j**2. Suppose o(l) = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 353 + 5 + 1 + -3. Let f = 1135 - y. Let x = 1110 - f. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -468077638?\nAnswer: 468077636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/8)\/g)\/(g*g**(-4\/3)) assuming g is positive.\nAnswer: g**(-37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxsh when four letters picked without replacement from {p: 4, y: 1, s: 1, x: 2, h: 3, d: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/((-14)\/(-82)))\/(1\/15). Suppose -3*n = 3*g - v, 0*g - 2*g + 440 = -4*n. What is the highest common divisor of g and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (289\/(-1156))\/((-2)\/(-64)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -550.9 - -552.9. Which is bigger: l or 666.9?\nAnswer: 666.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648438393 to the power of 1\/2, to the nearest integer?\nAnswer: 40601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 19. Let c(y) = -4 - 2 - y + a. Let i(q) = 3*q**2. Calculate c(i(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f - 1166 = -694 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5830165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1419, 31, 7 in decreasing order.\nAnswer: 1419, 31, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 22, -3, 4, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -33 - ((-7 - -5) + 0 + 2). Let o = b + 37. Suppose -4*d = -o*f - 7662 - 1062, -4*d + 8720 = -2*f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 26\/5, 0, 11, -377, -0.4?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/60 + o**4\/6 + 7*o**3\/6 - 3*o**2. Let l be x(5). Solve -3*v + l = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*b + 1771 = 512 - 1861 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 + 2020. Let h(q) = 25*q. Determine h(i(t)).\nAnswer: -100*t**2 + 50500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*z + 3*o, 0 = 4*z - 7*z - 5*o + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 1.2. Let g = -3989\/170 + 1388317\/43010. Let p = g + -96\/11. Which is the biggest value? (a) 2\/13 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -2.3. Let k = j - -2.4. Let y = -27 - -29. Put y, 0.3, k in decreasing order.\nAnswer: y, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.58 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -145*f - 698. Let w be p(-5). Let c be ((-594)\/8)\/(1\/(-4)). Calculate the highest common divisor of c and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280 + 53*d - 280 + (-2 + 2 + 2)*(4*d - d + d).\nAnswer: 61*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51411 or -51474?\nAnswer: -51411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146910783?\nAnswer: 3, 48970261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j - 8. Is -7 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/149 - 361\/1043. Let y(i) = 10*i**3 + 4*i + 3. Let u be y(-1). Sort 1, -0.4, u, c.\nAnswer: u, -0.4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 - 7*k**3\/3 - k**2\/2 + k - 5. Let v be ((-3)\/2)\/((-39)\/182). What is d(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3*y**2 - 291*g**3*y + 7*w*y**2 + 7*w + 9*y**2 wrt y?\nAnswer: -6*g**3 + 14*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364048 or 120\/23?\nAnswer: 120\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12*d = -5*d. Let i(n) = 2*n**3 - n - 109. Let p be i(d). Let m be (-8)\/(-78)*3\/(-2). What is the biggest value in -3\/5, m, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4289160*s**3 - 6*s + 847554?\nAnswer: 25734960*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*g - 10*g + 37, 0 = -3*o - g + 62. Let u = o - 12. Calculate the smallest common multiple of 3 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 17*w + 12. What is k(11)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*j = 92, -12*v + 4*j = -13*v + 28. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 2563025*j**2 - 328458702035*j - 985353039015.\nAnswer: -5*(j + 3)*(j + 256301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*4.\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 255?\nAnswer: 18870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 3) to base 5\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5441 + 5441.059. What is the second biggest value in 5, 15, o, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 - 24 = 0. Solve 5*s = r*a - 5, -s - 5*a + 5 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6199 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*t**2 + 726*t**2 - 836*t**2 - 428*t**2 - 989*t**2.\nAnswer: -2029*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 75*h = 1184 - 314 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-324)\/72*(-2 + 0 + 0). Solve -s = 3*d, -y + d + 5 = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 28\/5, -16?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 182. Suppose -7*l = -11*l - t. Let c = 8 + l. Let h(y) = -y**3 - 6*y**2 + 3. Give h(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346004*d**4 - d**3*g**3 + d**2*g**3 - 20043*g**3 + 2*g wrt d?\nAnswer: 8304096*d - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-2) - (18\/(-81) - 257466\/27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91110 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4170.866 + -4178. Let q = 0.166 - y. What is q rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 28*k. Let y = -53 + 54. Let i(r) = -282*r**2 + 1 + 283*r**2 + y + 2*r. Let c(d) = -5*d**2 - 11*d - 11. Let p(h) = -4*c(h) - 22*i(h). Give m(p(g)).\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6607 to 2 dps.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 550586.732\nAnswer: 550589.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70527711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.205 - 0.16. Let a = x - 0.085. What is a rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7340*t - 1 - 7738*t.\nAnswer: -398*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 5, l: 1, q: 1, n: 1, f: 3}. What is prob of picking 1 l and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:51 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(-1 + sqrt(1100)) - ((1 + sqrt(1100) + sqrt(1100) - sqrt(1100))**2 + -1)) + 2.\nAnswer: -1104 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b**2 - 77*b**2 - 15*b**2 - 26*b**2 to the form o*b**2 + z*b + l and give o.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 35*d + 189. Calculate the remainder when 150 is divided by q(30).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -61. Let n(f) = -8*f**2 + 6 - 6 - f**j. Let u(q) = 4*q. Determine u(n(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44868 is divided by 8854?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t**3 - 35*t**2 - 66*t - 6. What is the remainder when r(-8) is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 52*h - 1174. Let y(m) = 9*m - 1. Determine a(p) - 6*y(p).\nAnswer: -2*p - 1168","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1, -6 in decreasing order.\nAnswer: 3, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:15 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-182*h + 88*h + 117*h) + (2*h - h - 3*h)*(2 - 3 + 3) + 3 - 3 + h - 3 - h + 3 + 0*h - 2*h + h.\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - 15 - -42 - -19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 358*(2 - 1\/1). Suppose 9*v - 10*v + 9 = -2*k, 0 = v - k - 8. What is the third derivative of v*s**2 - 347*s**4 + b*s**4 + 2*s**2 wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12979489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36647 + -87353. Round r to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 20*i + 20. Suppose 4*s - c - 736 = 0, i*c - 411 = -2*s - 43. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*f - 7*f + 2*f**3)*(-14*f + 2*f - f) + (-f**3 - 3*f**3 + 6*f**3)*(3*f + 0*f - f) in the form w*f**3 + m + c*f + r*f**4 + z*f**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2.6 (b) -2\/5 (c) -1\/2 (d) 0.06 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 250683604 and -4.01.\nAnswer: 250683599.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 + 4*d + 2. Let a(k) = 13*k - 1 - 3 + 8 - 20*k**2 + 1. Let u(p) = 6*a(p) - 17*i(p). Calculate the remainder when 7 is divided by u(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 t when four letters picked without replacement from pptttpppptpptptpptp?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14093.\nAnswer: 17, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 860 + -543. Let q = 271 - l. What is the second biggest value in q, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1575 and 84.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318981716?\nAnswer: 2, 797, 100057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29388 and 39500?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/31 in 0.054, 34\/3, 2, 0.4, 1?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Let d be (-8)\/12*3*h. Suppose -2 = 5*m + 5*t + d, 3*m + 2*t = -5. Let u(w) = 4*w. Give u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.5. Let v be 2 + 9*4*(-1)\/6. Which is the nearest to 5? (a) v (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f + 4*h = -9, 3*f + 36 = -3*h. Let r = 9 + f. Let x = 12 - r. What is the greatest common divisor of 128 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 30. Let n = 17 + j. Suppose 8*s - n = 5*s. Calculate the smallest common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**2 + 132052*a + 1320920 = 0?\nAnswer: -10, 33023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5432 + 5443. What is the closest to b in -5, 34, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70281837*a**3 + 5976475?\nAnswer: 210845511*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*f + 8, 4*f - 7*f + 18 = 3*g. Solve 5*z = -5*p, 5 + 4 = -5*z + g*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(8) + -1) + 1 - 4*(-2*sqrt(64))\/sqrt(8).\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0144516nm?\nAnswer: 0.0000144516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-21))\/(-10)*(-7)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d8 + -5?\nAnswer: 3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 8. Let v(i) be the third derivative of i**4\/12 + 17*i**3\/6 + 6*i**2. Let s be (0 - 1)\/(2\/12). Determine s*v(t) - 13*p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.16. Let i = m + -0.2. Sort -0.4, 2\/13, i.\nAnswer: -0.4, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 18*n - 62. Let v be c(13). Suppose v*p - 2632 = p - 2*r, -3*p + 2*r + 3933 = 0. List the prime factors of p.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14317099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*q - 97, -q + r + 5 = -3*r. Let v = 246 - 265. What is the tens digit of q + v + 5*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 18*v + 78 = 8*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.18, -0.3, 2, -2\/17, 4, 1\/7 in ascending order.\nAnswer: -0.3, -2\/17, 1\/7, 1.18, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1162915.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3802521051 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + a - 4*a + (-7*a + 5*a + 0*a)*(-2 + 0 + 4) - 1 + a + 1 + (3 - 5 + 0)*(5*a - 3*a - 3*a) - a - 4 + 4 in the form p*a + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46389362 and -0.07262?\nAnswer: 46389362.07262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*b + 0 + 9 - 2 + 0 - 3 to n + z*b and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1580534347 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8632 and 151\/12948.\nAnswer: 25896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*(sqrt(11) - sqrt(396) - sqrt(44)*4))**2.\nAnswer: 185900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 5:56 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*3 + sqrt(21))\/(sqrt(7)*1*4).\nAnswer: 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.100205 - -156.1. Round n to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 674*t**2 + 9398*t\/7 + 70710\/7.\nAnswer: 2*(t - 2357)*(t - 5)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 28\/22633, 0?\nAnswer: 28\/22633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7137062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -7*q**4\/24 + 18*q**3 + 2*q**2 - 21*q. Calculate the lowest common multiple of m(12) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 + 5870*f**4 + 24*f**2 - 99443059*f wrt f.\nAnswer: -20*f**3 + 70440*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*o**3 + 11*f**4*o + 83*f**3*q - 3*f**2*o**3*q - f**2*o - 45*f*o**3 wrt f.\nAnswer: 24*f*o**3 + 264*f*o + 498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, e: 1, w: 2, t: 1, v: 2}. What is prob of picking 1 n and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 24 = 0. What is the remainder when 14 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 94. Let v = 18.9 + -19. Let w = v - -2.1. What is the smallest value in b, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let w = 6 - 4. Suppose -4*f + 21 = -f - 3*d, 5*f - 25 = -5*d. Let p(c) = 0*c**w - f*c**2 + c**2. What is r(p(o))?\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04734475 to 4 dps.\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/5 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*g + 19, 3*g - 28 = -j - 19. What is the common denominator of j and 58\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334526848 by -3.\nAnswer: 334526848\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198 or -137?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**8\/1344 + l**6\/48 + l**5\/12 + 5*l**4\/6 + l**2 + 28. Let n(u) be the second derivative of d(u). Factor n(f).\nAnswer: -5*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 555957*w*x + 649818*x wrt w.\nAnswer: 555957*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let f(h) be the first derivative of -3*h**2 - 10. Determine f(n(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(-4 + (-6*sqrt(156)*-2 + sqrt(156))\/sqrt(12)))**2.\nAnswer: -104*sqrt(13) + 2213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzqdppvvpvphv. Give prob of picking 1 q and 1 p.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 = 2*q, -4*q - 23 = 185*n - 184*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 7 - 9 + 7)*(2*y**3 + 0 + 0 + (0*y + 0*y - y)*(-4*y**2 + 2*y**2 + y**2) + y**3 - 5*y**3 + 2*y**3).\nAnswer: y**5 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*x + 2*x + 0*x)*((-2*x + 2*x + x)*(-5*x + 0*x + 3*x) + 0*x**2 + 2*x**2 - 6*x**2) to the form m*x**3 + g + k*x**2 + t*x and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46790 is divided by 62?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56495?\nAnswer: 5, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -61257*s + 61249*s. Solve -12 = -s*m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6028354 at least -6028359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 11624*x + 34890 = 0. What is x?\nAnswer: -3, 5815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54076 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccyycxybcccxbbcxyd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*s + 29 = 0, 2*h = 3*s - 6*s - 53. Put 0, 7, h in decreasing order.\nAnswer: 7, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 17*m**2 + 22*m + 115. Give t(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 2945092*s\/3 + 21597664.\nAnswer: -2*(s - 22)*(s + 1472568)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 less than -0.5?\nAnswer: -1480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h. Let s be 20\/35*(105\/10 - 7). Let v(r) be the second derivative of 0 - 1\/3*r**3 + 2*r + 0*r**s. Calculate v(p(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5274 and 117.\nAnswer: 68562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 171, 249, 327, 405?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -26928*v + 403908. Determine n(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059.915 rounded to the nearest ten?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*m - 62 = 306*m + 5698 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 19273891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -533550 - -222?\nAnswer: -533324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**2 - 60*b**2 + 189*b**2 - 87*b**2 - 26*b**2.\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2949 divide 889977691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2 (c) 0.1 (d) 0.02373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - t + 79. Let f be (-41)\/(-13) - (-4)\/(-26). Suppose f*l + 4 = a - 2, -5*l - 10 = -5*a. Is b(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1365885852 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.1. Let q = 57 + -57. Which is the closest to p? (a) 1\/2 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -73, -129, -197, -277, -369?\n\"Answer: -6*z**2 - 26*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 216*v**2 - 10*v - 5. Let s(o) = o**3 + 109*o**2 + 4*o + 2. Determine 5*s(k) + 2*w(k).\nAnswer: -k**3 + 113*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i\/(i*i**(-2)))\/i*i))\/i)**(2\/69)\/(i*i**6)**(-11) assuming i is positive.\nAnswer: i**(5311\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = q + 2*q - 3*r, 3*q + 2*r - 148 = 0. Does 25 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -0.2 (b) 15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20607531121 + 42\nAnswer: 20607531163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76)*2)\/(sqrt(4)*2*-6 + sqrt(4)))**2.\nAnswer: 76\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*y - 181*y - 2355 = 1154 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3132*p - 21600 = -972*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f - 32 = 0. Suppose 0 = -f*i + 34 - 2. Solve 2 = -2*x + i*p - 2*p, 0 = -x - 3*p - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 96*g - 4. Let l be a(-32). Let r(o) = o - 2 + 0 + 6. What is r(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 21993799.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) -1 (b) 2\/5 (c) -20 (d) 45 (e) 1\/4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + j - 1 + 14, f + 5*j - 13 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 7*u - 4. Let p be d(6). Suppose p - 81 = x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkkkkkkkkkakkkkkkk. Give prob of sequence ak.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12012 (base 4) to base 14.\nAnswer: -1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {t: 1, o: 1, v: 2, w: 1, s: 1, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 1:36 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16642 - 1?\nAnswer: 16641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314439724.\nAnswer: 2, 6841, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 27*s + 17. Let y be a(-13). Let q be -15 + (-4*(-1)\/y)\/1. Let m = -1 - q. Solve -m = -5*c + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 6*sqrt(165)\/sqrt(3) - sqrt(880)*3)\/(((-1*sqrt(60))\/sqrt(6))\/sqrt(72)).\nAnswer: 102*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0447 - 5.4247. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178379664?\nAnswer: 2, 3, 37, 47, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let c(r) = 1 + 0*r - r + r**2 + 0*r**2. Let k(u) = -4*u**2 - 7. Let f(l) = -l**2 - 1. Let a(p) = 3*f(p) - k(p). What is t*a(v) - 2*c(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 12:46 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/380 and -93\/70528.\nAnswer: 352640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2)\/v*v)\/((v\/(v*v\/(v\/(v**8*v*v)))*v)\/v))**39)**(-3\/25) assuming v is positive.\nAnswer: v**(-936\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 8*q + 12. Let b(v) = v**2 - 2*v. Let h(i) = 4*b(i) - t(i). Determine h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 3749*n\/3 + 7510.\nAnswer: -(n - 6)*(n + 3755)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -213119286, -213119285, -213119284?\n\"Answer: a - 213119287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2360 and 5114.\nAnswer: 2754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, 7, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26655.15 and 0?\nAnswer: 26655.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -7.9. Let c = o + -8. What is the closest to -4 in c, 1\/2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/24 - 12*z**2 + 10*z. Let g(r) = 132*r**2. Calculate g(a(v)).\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.05663 * 30.11\nAnswer: -1.7051293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 3*v**2 - v - 2. Let s be u(-2). Suppose -s*k = -3*k - 18. What is the remainder when k is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643.5245 decades to months.\nAnswer: 77222.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455009?\nAnswer: 23, 73, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001032 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*d**3 - 14*d + 335530 - 335529 + 45*d + 3*d**2 to c*d**2 + f*d**3 + q + h*d and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -92903?\nAnswer: -92901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 185*t**2 - 36*t - 2. Let c(p) = -p**2 - p. Let b(m) = 6*c(m) - h(m). What is the second derivative of b(z) wrt z?\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1716275402+2721\nAnswer: -1716272681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c**2 + 5*c - 19. Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 8*q + 4.\nAnswer: 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -23.2. Let p = o + -20.91. Which is the biggest value? (a) -5\/6 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 11*y**2 - 3*y - 21. Let r be h(-9). Calculate the greatest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*y**2 - 29*y**2 + 96*y**2)*(-5 + 5 - 6)*(-4 + 4 + 2*y).\nAnswer: -564*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2072\/52 + (-4)\/(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4109\/4 + 1027. What is the closest to 2\/9 in -1\/6, u, -4, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 297891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-3\/7)*y**(1\/12) assuming y is positive.\nAnswer: y**(127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 44*u**2 + 4*u - 5. Let c(k) = -3*k**3 - 45*k**2 - 5*k + 6. Give 5*c(l) + 6*t(l).\nAnswer: -3*l**3 + 39*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 - 2*q - 6. Determine p(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -702?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*q - 15 = 0, 0*h - 3*q + 16 = -4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5796 and 3109554?\nAnswer: 6219108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 3*t + 3*t. Let c(l) = l. What is b(c(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/610*-100*((-36)\/2370)\/(-3).\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-75)\/9)\/(-5). Let a = -112.033 - -0.033. Let t = a - -111.7. What is the second smallest value in -0.2, 3, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032 (base 4) in base 15?\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.49077l?\nAnswer: 490.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*l - 202*l + 156. Let m(k) be the second derivative of 1\/3*k**l + 0 - 1\/45*k**6 - 2*k + 0*k**4 - 1\/15*k**5 + 2\/9*k**3. Factor m(x).\nAnswer: -2*(x - 1)*(x + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h - 2. Let j(a) = 9*a - 1. Calculate -5*j(p) + 2*r(p).\nAnswer: -9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2150432 (base 6) to base 4\nAnswer: -122103110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97.4 + -55.4. What is the third smallest value in y, 0.2, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 10*q**2 + 3. Let r be s(10). Find the second derivative of -7*t**3 + 79*t**4 - 57*t + 2 - 3*t**3 + 11*t**3 - t**r wrt t.\nAnswer: 948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.11, 1\/4, 22?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16\/57 + -3337\/5187. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1359 - 685. Suppose -2 = 4*u - j. What is the highest common factor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 10, -5*p - 4 = -7*n + 4*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 = -y - 10, -35 = -2*y + 5*z. Suppose -y*k = -15 + 5. Suppose -74 = -k*s + 18. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 124024224?\nAnswer: 124024221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 314310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 3*k - 5 + 4*k - 3*k. Give w(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, -0.06, 51?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -31 (b) 2\/7 (c) -2\/165 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11575772 (base 8) to base 6\nAnswer: 130432042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73884806.\nAnswer: 2, 19, 223, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*f**3 + 35*f + 2*f**2 - 9*f - 9*f to v + r*f**3 + x*f + u*f**2 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (21 - 48) - -20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.05 + 22.4. Let z = m + -29.2. Let s = z - 0.15. Which is the third smallest value? (a) 4 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -3*y - 24*b + 17*b, 2*y - 5*b + 10 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {c: 2, g: 1, n: 3, o: 1, t: 3, f: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 142269?\nAnswer: 995883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -96 + 168. Suppose -5*v + 5*i + 28 = -32, 0 = -3*v - 3*i + b. Let g be 2*-2 - (13 - 116). What is the greatest common divisor of g and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906860 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 3)*(5*n**2 + n**2 - 2*n**2) - 2*n**2 - 2*n + 2*n)*(201 - 15 - 30 + 123).\nAnswer: -5022*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. What is the closest to a in -0.5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at least -6.97478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xyyyxyxyyxyyxyyxxyy?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*q - 272, 3*q = -81*n + 82*n + 206. What is the highest common factor of 30 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -307*c**3 + 307*c**3 + 3*c**4 - 13*c + (4*c - 2*c**2 - 4*c)*(-3*c**2 + 0*c**2 + 5*c**2) - c**4 - c**4 + 0*c**4.\nAnswer: -3*c**4 - 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60766 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270381 (base 10) in base 5?\nAnswer: 32123011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 2 - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 137 and 1.3?\nAnswer: 178.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4538521 and -16\/65.\nAnswer: 22692605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvo. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -9. Let l(u) = -3*u**3 - 4*u**3 + 4*u**3 - 1 + 4*u**h + u. Let b(o) = -4*o**3 + o**2 - 6*o + 8. Give b(s) + 6*l(s).\nAnswer: 2*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59382259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 + 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-11 - ((-18 - (-13 - -4)) + -65)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 409*l**2*w + 4403*l*w - 128150946*w wrt l?\nAnswer: 818*l*w + 4403*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.78982523 + -5.7901. Round l to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 3) + -12 - 4 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -11*l**4\/4 + 61*l**3\/3 + 17*l + 2266. Let o(n) = 2*n**3 - 10*n**2 - 3. Determine -34*o(f) - 6*u(f).\nAnswer: -2*f**3 - 26*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*u + 12 = -101*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 1. Let m(k) = 5*k**2 - 5*k - 18. Let n = 12 - 13. Let t(w) = n*m(w) + 6*a(w). Let q be t(6). What is the greatest common factor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 3960, 7 in decreasing order.\nAnswer: 3960, 7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 67 - ((-11 - 3) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-2) + (-2 - -3). Let t(o) = -o**3 - 5*o**2 - o + 6. Let v be t(p). Is (2 + -120)*21\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -84*n**3 + 2*n + 1. Let s be c(-1). Let a = s - -51. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3073 - -3142.56. Let d = -69 + g. Let p = 0.96 - d. Put p, -2, -3, -4 in descending order.\nAnswer: p, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*t + 1306*t = 51*t + 300*t - 31710 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -20, -o = -5*y - 41 - 154. Suppose 165*g - 172*g = -o. Calculate the remainder when 40 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 21*q - 1488. Let z(b) = 5481*b. Determine z(y(p)).\nAnswer: 115101*p - 8155728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(125))*2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1802*k**3 + 111*k**2 - 342957*k - 1.\nAnswer: 10812*k + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76238, 152473, 228708, 304943?\nAnswer: 381178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t + 5. Calculate the highest common factor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*y - 10589889 = -280479871, 3*w + 809669994 = y. Round w to the nearest 1000000.\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39219*d**3*w**4 + 199*d**3*w - 3*d**2*w**6 - 119*d + 2*w**2 - 2 wrt w?\nAnswer: -941256*d**3*w - 360*d**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 14)*(-1 - 2 + 1)*(-2 + 6 + 1)*(6 - v**2 - 6 - 2*v**3).\nAnswer: 40*v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1452 - 1198 = 0. Let v = l + -4739\/9. Find the common denominator of 87\/4 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -71, -154, -309, -560, -931, -1446?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2747 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15 - 103*n - 109*n + 0 + 203*n. Let p(s) = 2*s - 4. What is -4*g(j) - 15*p(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -118 - (-203 + 225 + (-7 - (7 + -1)))\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17895223 is divided by 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5252389\/4578 + 873\/763. Let p = -1141 - o. Let m = 447 + -1393\/3. What is the common denominator of m and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 73 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, -5, -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) + 2 + sqrt(242))**2 + (-1*(sqrt(20)\/(1*sqrt(10)) + sqrt(2)))**2.\nAnswer: 88*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -48. Suppose 0*h = 4*h - s*t - 16, 3*h - 29 = -2*t. What is the remainder when 27 is divided by (-3)\/21 + -4 + 99\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2658, 20967, 70618, 167283, 326634, 564343, 896082, 1337523?\n\"Answer: 2612*b**3 - b**2 + 28*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4*u**3 + 17147*s**3*u - 2*s**2*u**3 - 3*s**2*u**2 - 165*s**2*u - 9*s**2 wrt s.\nAnswer: 24*s*u**3 + 102882*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -193, -3, 2\/37, 1, -1.62?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 292\/60 + (-2)\/(-15). Solve -s + 3*s - 10 = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 65 = 3*i, 3365*i - 85 = 3368*i - 2*r for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 350 = 2*l + 3*l, 3*j + l = 206. Let o = 70 - j. Suppose -417 = -o*w - 163. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192418 is divided by 268.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -28*d. Let j(t) = 5*t**2. Calculate g(j(z)).\nAnswer: -140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006692 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from jjppqpjqpo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1839 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.337 + -5.417. Sort 40, i, -1\/5 in descending order.\nAnswer: 40, i, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/3, 34, 1\/7, 43\/85?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 340*y**2\/11 - 2094*y\/11 - 288.\nAnswer: 2*(y - 176)*(y + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-374 - 17*l**2 + 374)*(0 - 2*l + l + 1) to the form n*l**3 + x*l + f*l**2 + j and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q. Let w(t) = t**2 - t. Let n(j) = -j**3 + 3*j**2 - j + 11. Let z(u) = n(u) - 2*w(u). List the prime factors of z(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4))**2 + 5 - (sqrt(700)*-2)**2 - (-4*(sqrt(35) - (sqrt(35) - 2*sqrt(35))))\/sqrt(5).\nAnswer: -2788 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Suppose -4*t - 5*o + 7 = 0, 2*t - 6*t + 2*o = -14. Suppose -x = -4*v - 12, x = t*v + 19 - z. What is the smallest common multiple of 2 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -13. Let r(m) = m + 3*m - 5*m + b*m. Let z(f) = 10*f. Give r(z(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 66\/(-9))*(-3138)\/(-4184)*(6 - -2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+1158099.5\nAnswer: 1158099.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -20221343?\nAnswer: -20221342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from xnnxktkt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 334 + 56 = 0. Suppose 97 = 6*g - p. What is the least common multiple of 8 and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -4.87. Let p be -2 - (-1)\/((-18)\/(-33)). Let s = 26 - 25. Sort q, s, p in descending order.\nAnswer: q, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11123958739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*a + 2*t - 149, -3*a + 5*t = 342 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12473321 (base 9) in base 16?\nAnswer: -5d8af7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-27 + 33 + 4 - (-5 + 0)) + -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 536*y - 66. Let g(b) = -271*b + 32. Determine 5*g(h) + 2*w(h).\nAnswer: -283*h + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 4*u - 6. Let t be d(-3). Suppose 2*x - 266 = -4*z, -2*x - 6*z = -3*z - 267. What is the highest common factor of x and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 6\/21) + 4 + (-130)\/35. Let l = 0.8 - -0.2. Put -6\/5, v, 5, l in decreasing order.\nAnswer: 5, l, -6\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 22. Let v(w) = 9*w - 45. Give 11*d(a) + 6*v(a).\nAnswer: -a - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 - t. Let m be j(1). Let l = 0.46 + 3.64. Let r = -4 + l. What is the nearest to 0 in -2\/7, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3755 - 1201 = 126*p - 323 + 533 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 28. Suppose 3*w - 36 = w + 4*k, w - 24 = 5*k. Let g be d(w). Calculate the greatest common factor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.67 - 19.97. Which is greater: f or -10\/99?\nAnswer: -10\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10842 to 4 decimal places.\nAnswer: 0.1084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 1 - 6*k)*(-k**3 - 65*k**3 + 23*k**3).\nAnswer: 86*k**4 + 43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 500 to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 578\/9. What is the closest to 0.2 in 2\/13, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 - 50098269*x**2*z**3 + 7*x*z**3 - 17966296*z wrt x.\nAnswer: 6*x - 100196538*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(112\/(-12)))\/(174\/232).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47592*y + 120*y**2 + 95229*y - 47637*y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 342\/(-36))*9\/(-21)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 5 - 1)*(-7 + 34 + 20) + 12 + 1 - 2)*(0*s**4 - 2*s**4 + 4*s**4) in the form d*s + w*s**4 + b*s**2 + u*s**3 + n and give w.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - 480*4*(-4 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4946 + 5020. Calculate the remainder when 440 is divided by p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 209 - 355 + 179 to the form d + f*u and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20489 (base 11) to base 2.\nAnswer: -111010010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 32, 18, -2 in increasing order.\nAnswer: -3, -2, 0, 18, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -17*x**4\/4 + 44*x + 43. Let s(j) = 28*j + 3. Calculate s(d(p)).\nAnswer: -1428*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17c38 + 3?\nAnswer: 17c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13101 + -14400. Is -1302 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) + (-68)\/(-6). Let r = 27 - l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106262 is divided by 368734.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212666916 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5758670 by -1151734.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*1*6159. Is (-1)\/(-4 + (-24633)\/w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-5)\/(150\/(-36)))*24\/75.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3488501 minutes in milliseconds?\nAnswer: 20931.006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011953244 to 6 dps.\nAnswer: -0.001195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200211102212 (base 3) in base 15?\nAnswer: 12c448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -4232.\nAnswer: -31\/2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -199*o**4 + 95*o**2 - 3*o - 3. Let g(f) = -f**2 + f + 1. Let y(w) = b(w) + 3*g(w). What is the third derivative of y(h) wrt h?\nAnswer: -4776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-9))\/(15 + (-1928)\/128). Is -10 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 2*w - 3. Let h(i) = 3792*i**2 + 12*i + 16. Determine -h(a) - 5*r(a).\nAnswer: -3807*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*p - 113 = -254 - 1829 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(1539)*2 + 4 + sqrt(1539)*5 + 0 + 0))**2.\nAnswer: 1008*sqrt(19) + 75475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 2. Let r be 4*(-3 + 17\/4). Let j(f) = -5*f**2 + f**2 + 8*f + 3*f**2 + r. Let i be j(9). What is d(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 3*i, 10*c - 5*c - 4 = -2*i. Let n = 3 + 5. What is the smallest common multiple of n and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 + -192. What is the smallest common multiple of 108 and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*u - 1 + 4*u - 36*u)*(2*u**3 - u + u).\nAnswer: -124*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(((-153)\/(-18))\/(-17)). What is the greatest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/335 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29175 - -29127. Which is the nearest to 0? (a) -0.5 (b) -17 (c) w (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*w + 41 = 0, -3*w = -0*m + 2*m + 7. Let c = m + 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**2\/2 + 4*n + 24. Determine b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1 + 0*n**2 - n**2 + 5*n - 4*n. Let q be s(3). Let v(c) = c**3 + 6*c**2 + 4*c - 1. What is the units digit of v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {s: 9, v: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3*w - 5*t - 54, 15*t = 5*w + 3*t + 49 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = f - 21, 5*f - 20 = -5*q - 35. Is q <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2798? (a) 3\/4 (b) -0.4 (c) -0.07 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s. Let r(z) = 2*z + 83294. Give r(a(y)).\nAnswer: 14*y + 83294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -2. Is 1\/4 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*g - 119 - 55 = 7*g - 125*r, 5*r - 10 = 0 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -376 and -0.0462?\nAnswer: 375.9538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-777)\/(-189) + 1\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5863, -11785, -17817, -24013, -30427, -37113?\nAnswer: -44125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 61. Let g(y) = 4*y**3 + y - 2. Let d(f) = 5*f**3 + f - 3. Give i*d(n) - 3*g(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 651*x**2 + 11340*x + 10688.\nAnswer: -(x - 668)*(x + 1)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-216)\/(-126))\/(((-45)\/140)\/(-3)). Solve 0 = 3*k - c + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50541645 (base 7) to base 2\nAnswer: 10000000100010100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1571, -1\/4, 1?\nAnswer: 1571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3 + 39. Let v = l - 9. Suppose -6*z + z = -v*r - 25, z - 5 = 3*r. Calculate the greatest common divisor of 35 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44845191 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24592 or -24591?\nAnswer: -24591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042 is divided by 249.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5077.857825 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o + 98. Let s be 676\/260 - (-4)\/10. Let i be f(s). Let x be (-4)\/(-6) + 4\/(-6). Solve -d + x = i*m - 12, 2*m = 5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*n = 769*n + 1290 + 4536 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:11 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*j = -36, 5*t - 111 = -3*j - 0*j. What is the least common multiple of 16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-40)\/(-12)) + 4\/(-10). Let n(v) = 0*v**3 - 1164*v**2 + 3*v**3 + 1163*v**2. What is n(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 + 6 + (-3 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 1. Let n = -5 + x. Is n <= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007151 is divided by 2751783.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02470204499 rounded to four dps?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278 + 281. Suppose 467 = 5*c - d + 108, q*c - 211 = 5*d. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 11 = 7*y + 3*d, -d = 2*y - 1. Solve 0 = 2*g + 2*g + y*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 70. Let p = 92 + g. Let t = p - 43.9482. What is t rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/4)\/(75\/1900). Calculate the common denominator of -59\/20 and ((-3)\/48)\/((-7)\/x).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(228)\/(sqrt(12)*-2).\nAnswer: -sqrt(19)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p + p + (5 - 2 - 5)*(0 + 0 - 2*p) + p - 5*p + 3*p + (3*p - 1 + 1)*(2 - 5 + 2).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16293728 take away 17.940855?\nAnswer: -16293745.940855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226689*t**2 + 3175294*t.\nAnswer: 453378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/3 - 312*m**2 + 73008*m = 0 for m.\nAnswer: 0, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9473 is divided by 338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1524963937 to the nearest integer?\nAnswer: 39051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - (4 - -2 - -4)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -w, 3*f - 4*w = 1831. Which is smaller: 616 or f?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007825 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 900 = -4*x, k + 4*k - x - 900 = 0. Suppose -2*w = 3*w - k. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 810?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**3 + 8*i + 9. Let m(x) = 8*x**3 - 8*x - 8. Let p(w) = 3*a(w) + 2*m(w). Let c(l) = 2*l**3 - 3*l - 4. What is 11*c(f) + 4*p(f)?\nAnswer: 2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k*k\/(k\/(k**(-2\/5)*k)))\/k)\/k*k)*k)**(2\/5)\/(k**(-2))**(-28) assuming k is positive.\nAnswer: k**(-1386\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 6)*3\/(-162). Let w = k - -461\/54. Which is smaller: w or 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t*t**(-2\/7)*t)\/(((t**1*t*t)\/t)\/t)**(-2\/15))**(1\/11) assuming t is positive.\nAnswer: t**(509\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (341\/(-33) - -11)\/((-104)\/(-120)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/24*(-6)\/(-300)*-5.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmz when three letters picked without replacement from zzmrmmmmrzmrrzmr.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -430042 (base 6) in base 4?\nAnswer: -20203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/963 and -193\/796380?\nAnswer: 255637980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 38. Let x be w(-13). Let n(b) = 26*b**3 - 2*b**2 - b + 1. Let m be n(x). Let v = 45 - m. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (13 + 1)) + 13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 4)*(-70*s - 10*s - s) + 2*s - 2*s - s)*(s - 3*s + 3*s).\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 1\/60*x**5 - 5*x**2 + 0 - 5\/24*x**4 + 0*x - 4\/3*x**3. Give a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 222391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57852150614*j**3 - 115704301216*j**3 + 57852150601*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1 + -3)**2*2.\nAnswer: -72*sqrt(3) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4746*v + 5567 + 162514 = -173631 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y + 4*y - y**2)*(-6*y + 2 + 4*y - 1).\nAnswer: -2*y**3 - 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, j: 1, o: 5, z: 1}. What is prob of picking 1 x, 2 o, and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 - -181.29?\nAnswer: -136.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68951, -2, 3, -14.\nAnswer: -68951, -14, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 20246?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:09 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56255 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4614 + 0.4814. What is the second biggest value in m, 5, 3\/8, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*t + 259, t - 37 = 2*o + 53. Let w = 59 + -48. Calculate the highest common divisor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 4*i + 3*i**2 + (-1 + 1 - 4*i)*(2 - 2 - i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2*3)\/1)\/(((-138)\/(-10))\/(51\/(-255)))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26684269?\nAnswer: 26684269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-2)\/(-6))\/((-9)\/(-246)). Which is smaller: k or -9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1436683 and 6583?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:22 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**5\/55 + 63*s**4\/22 - 130*s**3\/11 + 197*s**2\/11 - 12*s - 99. What is l in c(l) = 0?\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 + 1 = 0. Let a(f) = -f - c*f + 0*f. Let k(t) = t. Give k(a(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-546*a - 4483*a + 11635*a + 1882*a + 11848*a + 1443*a).\nAnswer: -21779*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-108)\/45)\/(((-42)\/(-40))\/(-7)). Let n(x) = 3*x + 2. Let m(h) = -10*h - 6. Calculate r*n(j) + 5*m(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1080, 241, 8 in decreasing order.\nAnswer: 241, 8, -1080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2. Let c(f) = -31*f. Let z be c(-2). Suppose -52 = -u + 3*k, 3*u - 14*k = -16*k + 189. Let j = u - z. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 11. Let l(w) = -w. Let v(u) = -5. Let n(c) = 2*l(c) - v(c). Suppose -8*h + 8 = -24. Give h*g(y) - 9*n(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 289 - 40 = 3*f, 234 = -2*f - t. Let b = f - -131. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlo when three letters picked without replacement from {q: 1, o: 2, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {k: 5, p: 1, j: 1, b: 3}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**4 + 0*y + 294 - 295 + 2*y**3 + 51*y as a*y + d*y**2 + k*y**4 + m + f*y**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 134 = 5*y, v + y + y = 35. Suppose -16 = -3*t - 7, 5*r + 1 = 2*t. Suppose v - r = 10*p. Solve p*z = -z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1051*k**3*w**3 - 19*k**3*w**2 - 36*k**3*w + 151*k**2*w**3 + 8*w**2 wrt w?\nAnswer: -6306*k**3 + 906*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-36 - (0 + -18)) + -1 + -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6765 and 220.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 4*z - 3. Let h be ((-12)\/(-14))\/((18\/(-7))\/(-9)). Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a - 204924 = -198819 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 8. Let l(n) = -5*n + 8. Give -3*l(a) + 2*t(a).\nAnswer: 7*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 + 7 = 0. Solve x = 2*q - 1 + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 259a - -1792?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619293 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 264 - 274. Let z = -9.49 - -19. Let c = z + q. Round c to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*6\/(-3)*(-4)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1300 and 61350900.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:34 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17373 (base 10) in base 3?\nAnswer: -212211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*r - 9*r - 15*r)*(-r + 0 + 0 + (2 - 2 - 2)*(0 - r + 0) + 0*r + r + 0*r) to the form w*r**2 + i + q*r and give w.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549354488 to the nearest integer?\nAnswer: 50491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + (-902)\/984?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - (-28668)\/(-48). Let m = -76 - y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.778 * -7.\nAnswer: 40.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 78 = -86*l + 332. Solve 3*u - y + 2*y + 11 = 0, l*u - y = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 26. Let t be -22*(s + 1 + -5). Suppose -6*y + 56 = -t. What is the remainder when 24 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 - d. Let r(w) be the second derivative of w**3\/6 - w**2\/2 - 5*w. Let u be r(2). Let i(x) = x + 1. Determine u*k(m) + i(m).\nAnswer: m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6441 and 230679.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 4, -2 in descending order.\nAnswer: 4, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8930907, 8930921, 8930943, 8930973, 8931011, 8931057, 8931111?\nAnswer: 8931173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5 in increasing order.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.1 (b) 1\/58 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 87. Let m = 9 - 1. Let y = 17 - m. What is the greatest common factor of y and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let u(k) = -14*k. Let m(p) = -3*p**3 + 3*p**2 + 5*p + 5. Let h be m(4). Let l(n) = -280*n. Let w(r) = h*u(r) + 6*l(r). What is v(w(j))?\nAnswer: -392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*t**3 + 814*t + 1 - 820*t - 2.\nAnswer: 3*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12770604 by 542.\nAnswer: -23562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)\/((((s*s*(s*s\/(s\/(s**(-3\/7)*s*s)))\/s)\/s)\/s)\/s))**(-28\/5)\/(s**4*s*s*s\/(s\/(s**(-5)\/s)*s*s)*(s**3*s)\/(s*s*s**(-2\/11))) assuming s is positive.\nAnswer: s**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 822*r**4 + 18030*r**3 - 49138*r**2 + 47484*r - 15552 = 0 for r.\nAnswer: -432, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251281605.\nAnswer: 3, 5, 16752107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 + 3*k - 28. Determine g(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -4 - 28)\/(-2 + 0). Let m be 3\/((-54)\/68) - k\/72. Let f(w) = -7*w**3 + 3*w**2 + 2*w. Let z(n) = -3*n**3 + n**2 + n. What is m*f(j) + 10*z(j)?\nAnswer: -2*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**2 + 6855*b + 6860 = 0.\nAnswer: -1, 1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) 3 (c) 1 (d) -679105 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 6*a**2 - 8*a - 5. Determine t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 167*c**4 + 3 + 4*c - 179*c**4 - 6*c - 11*c**3 + 348*c**4 to i + u*c**4 + m*c**2 + f*c**3 + k*c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5763172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01 times 0.02?\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 536\/(-102))*18. Which is smaller: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45541 - -12?\nAnswer: 45553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 256\/14177?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(612) - (sqrt(612) + sqrt(612)*1 + sqrt(612)))*-4)**2*3*-3.\nAnswer: 1410048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 711477643*i**2 + 2344394*i + 56?\nAnswer: 1422955286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 5 - w**2 + 2 + 3*w**2. Let d(g) = 7 - 6*g**3 + 4*g**3 - 5*g**2 + g**3 - 5*g. Let y = 3 + -8. What is y*f(j) - 2*d(j)?\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6743, -34303, 5?\nAnswer: -34303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23.95516km?\nAnswer: 23955160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**3 + 78608\/3 + 68*l**2 + 2312*l.\nAnswer: 2*(l + 34)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 27 = -4*j. Suppose -j*n + 48 = 10. Solve -5*z + n = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140680 + 200115. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 55*c + 1. Calculate l(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvqqqvqvv. What is prob of sequence qqqq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 17*s + 671 = 5*f, 3*f = 3. Calculate the greatest common factor of 370 and s.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3728148 and 804.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 14*c**2 - 27*c + 3. Let b(a) = -3*a**3 + 42*a**2 - 80*a + 8. Let m(i) = 3*b(i) - 8*f(i). Let p be m(12). Let w(k) = -k + 1. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-24))\/(-9)*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 10*o + 2 + 3 - 64*o**2 + 9*o.\nAnswer: -57*o**2 - o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9270, 17972, 26678, 35388, 44102, 52820?\n\"Answer: 2*u**2 + 8696*u + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p)\/(p**(-2\/13)*p))\/((p\/(p**(-2\/3)\/p))\/(p*(((p\/(p\/(p\/p**3))*p)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-137\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpapvpwp. What is prob of sequence ppw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -1.9. Put z, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d - 31*d - 126784 + 126784.\nAnswer: -142*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-40))\/(16\/(-80)). Suppose 0 - t*g - 3\/4*g**3 - 3*g**2 = 0. Calculate g.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/3 - 1060*t**2\/3 + 3798*t + 4152 = 0. Calculate t.\nAnswer: -1, 12, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -902\/59, -8, -5 in increasing order.\nAnswer: -902\/59, -8, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196029.\nAnswer: 3, 23, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 + 3*n + 1. Let c(p) = -p**2 + 15*p + 32. Let k be c(17). What is y(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/((-3)\/1))\/((-1249)\/(-11019927)).\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3730670, 3730751, 3730830, 3730907?\n\"Answer: -n**2 + 84*n + 3730587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3267 and 25531.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -18, -27, 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-27 - (2 + -34)) + (-12 - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4607?\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 3*c**3 - 3*c**3)*(9*c + 3*c + 0*c) - c**4 + c**4 - 1386*c**5 + 1268*c**5.\nAnswer: -154*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*a**2 - a**2 - 3 + 6*a**2 + 27 wrt a.\nAnswer: 50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519715762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/4 - 7*f**3\/4 + 9*f**2\/4 + 7*f\/4 - 5\/2 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21908.06 years in centuries?\nAnswer: 219.0806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 3*x - x - 2*x. Let z be b(-9). Let o(q) = -q**3 + 4*q**2 - 3*q. Let k be o(2). Solve -k*u - u = -z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -3a862?\nAnswer: -3a853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32089.9 millennia?\nAnswer: 32089900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49701 at least -49705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + (25 - 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 3\/2. Suppose n*p = -3*p + z + 6, -p = 5*z + 4. Suppose k = g - 3*g + 10, -k + 22 = 5*g. Sort p, 5, g in descending order.\nAnswer: 5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - (-1007)\/212. Suppose 3 = a - l - 12, -t*l = -15. Let j(p) = -p**2 - 4*p - 1. Let x be j(-3). Is x at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 4*z + 62 = 0, 2*w = -3*z + 29. Let c(t) = 35*t**2 - t - 1. Calculate the remainder when c(-1) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -4*n - t, -6*n = -4*n + 3*t + 33. Let u(a) = -5*a - 10. List the prime factors of u(n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2\/2 - 2*u - 3. Let l be h(5). Suppose -l*x + 5*i = -12, 4*x - 1 = 2*i + 15. Solve -b = -x*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44652 and 7109184?\nAnswer: 433660224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/72)\/((15\/(-9))\/(8\/132))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i - 5. Let k be i - 0 - (1 - -1). Suppose 8*w - 42 + 17 = 3*w. Put w, -19, k in decreasing order.\nAnswer: w, k, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -107 - 28 - (1 + -8 - 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592780407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 572940.3 to the nearest one thousand.\nAnswer: 573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560443320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(22\/(-4) - -7). Suppose -h*l - 10 = -2, t - 3*l + 33 = 0. Which is greater: 2\/19 or t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (20\/12)\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) -5 (b) 0 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25935, 34095, 47695, 66735, 91215, 121135, 156495?\n\"Answer: 2720*m**2 + 23215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -12692 + 36578. Let k = n - 3563. What is k rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*w + 17*w + 2*w)*(-4*w**2 - 12*w**2 + 0*w**2) to the form z + i*w**2 + c*w + p*w**3 and give p.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in minutes?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 - 4*t - 4. Let g be o(-8). Let x be 134\/6 + (-2)\/6. Let p = g - x. Solve 0 = d + l + 2*l + 14, 2*l = d - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4371 and 13469965.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13879, -56600, -127801, -227482, -355643, -512284?\nAnswer: -697405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + p, 5*z + 2 = 6*z + 5*p. Suppose 3*y = 4*s + 29, -z*s - 24 = -2*y + 3*s. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16792, 18, 0 in descending order.\nAnswer: 16792, 18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 342586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 + 17*t**4 + 105*t**3 + 275*t**2 + 250*t = 0 for t.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at least 57641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9367446?\nAnswer: 2, 3, 11, 141931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 551 + -304. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7040 and 132096.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/75 + 120\/250. What is the nearest to -2 in l, 162, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 851 + 117. Let a = o - 72. Suppose a = 3*n - 5*k + k, 5*n = -k + 245. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Let b(w) = -157*w + 30. Let o(q) = -b(q) - 3*l(q). Differentiate o(f) wrt f.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) + (-203)\/(-35). Suppose -4*j + 6 = -z, -2*a + 4*j = -242. What is the remainder when a is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 2*s + 143 = 0. Let o = -12 - -15. Let k = 8 - o. Sort s, -4, k in decreasing order.\nAnswer: k, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/3)*g*g**2*g**(-1\/4)\/(g*g**(-1\/4)\/g) assuming g is positive.\nAnswer: g**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 + 85. Suppose -2*a = a - v. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 83*n**5\/20 - 25*n**3\/2 + 131*n + 133. Let x(r) be the first derivative of a(r). Find the second derivative of x(q) wrt q.\nAnswer: 498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 13, 45, 111, 223, 393?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 x when four letters picked without replacement from {x: 4, d: 4, q: 1, k: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 2, 3 in increasing order.\nAnswer: -4, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 2}. Give prob of picking 1 h and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 22. Suppose -3*u + 101 = v*f, 0*u = u - f - 43. Suppose -269 = -5*k - u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 12946744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(30*n + 26*n - 19*n)*(-4 + 11 + 27 + (-3 + 1 + 6)*(3 - 1 - 1) + 0 + 2 - 1).\nAnswer: -1443*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5, 3*r + 0*r - 5*f = 157. Suppose 17*w + 8*w = 500. Calculate the remainder when r is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4164989*h - 69. Let d(u) = -2082495*u - 35. Let y(z) = -5*d(z) + 3*i(z). Let l be y(4). Round l to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -133997*r. Let a(g) = 53*g**2. Give a(i(t)).\nAnswer: 951625388477*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2*t - 12, 290 = l - 4*t + 289 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/94 and -95\/6?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 6*n + 34 = 0, -2*s + n - 767 + 774 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 20890613.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -841172, -1681967, -2522762, -3363557?\n\"Answer: -840795*j - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 6) to base 12\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -2*(sqrt(152) - (-1*sqrt(152) + sqrt(152))) + sqrt(152))\/((sqrt(88)*2)\/sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270 - -113) + 152)\/(7\/6*5\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12495*d + 58402 + 49754 = 16157 - 170396 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*v**3 - 11*a**2*v**2 - 2*a*v**2 + 3*a*v - 16*v**3 wrt a?\nAnswer: -4*v**3 - 22*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d - 4*d + 15*d - 1. Let x(z) be the third derivative of -z**4\/3 + 2*z**3\/3 + z**2. Let v be -2 + 1*(-2)\/(-2). What is v*x(t) - 6*g(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n - 1. Let v = 20 + -11. Let c(o) = -o + 14. Let i be c(v). Suppose 0 = -3*p - 2*p + i. Give x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {v: 1, s: 1, l: 1, h: 1, a: 1, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 4*p)*(2 - 2 + 3*p + (-8 + 45 - 1)*(2 + p - 2)).\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.1. Let d = 0.9 + -1. Let y = 0 - 0.2. What is the closest to n in y, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) -4 (b) -7 (c) -1\/3 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 + j**3\/3 + j**2\/2 + 14*j + 3. Let c be o(0). Is 1082\/c + (-10)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(30\/5))\/2. Which is greater: 7\/10 or k?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 358552 (b) 2\/5 (c) -2\/9 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3722 - 1891. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:09 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = 3*k + 17, -2*k = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6073 + 6072.41. Which is the nearest to -3? (a) -2 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by 24939\nAnswer: -223\/24939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1043, -3, -7\/16.\nAnswer: -1043, -7, -3, -7\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3964, -7928, -11892, -15856?\n\"Answer: -3964*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**3 - 5*w - 4. Let p be h(-1). Let v(b) = -34*b + 14. Let y be v(p). Let z = 393 + y. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21947 (base 10) to base 16\nAnswer: 55bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1908\/35 - (-16)\/56. Let u = c - 55. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*63.\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let o(x) be the second derivative of 19*x**3\/3 + x**2\/2 - x - 28. Give u(o(z)).\nAnswer: -76*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-6)\/(-4)) + 1. Suppose 5*v + p - 926 = 0, 0 = 2*v + 2*p - 382 + 18. Let h = v + -176. Solve 0 = l*g - g - h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1186 divided by -51.\nAnswer: -1186\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:02 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 71?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 13*o - 11 + (-5*o + 3*o + o)*(-4 + 1 + 2) + (-4*o + 2*o + 0*o)*(4 + 0 - 5).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4\/3 - 3256*c**3\/3 - 43124*c**2\/3 + 32408*c + 555744 = 0?\nAnswer: -12, -7, 6, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*z + 24, 5*n - 6 = 2*z + 6. Is (-5)\/(8\/z + 1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 9*d + 11. Let n be z(-6). Suppose -5*r + 39 = -4*s, 2*s + 0*r + 47 = -3*r. Let p = n - s. What is the common denominator of p and -1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((6\/4)\/3). Suppose p - 167 = -d*c, -c - 3*p = 2*p - 79. What is the remainder when (-1)\/3 - c\/(-9) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -41, -44, -47, -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 11*n - 8. Let k = 0 + -10. Let l be h(k). What is the derivative of 0 + l - 6 + 1 + 4*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 706406 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-9\/7))\/(a**(12\/5)*a))\/((a**(-1\/43)*a)\/(a*a\/a**38)))**(-20) assuming a is positive.\nAnswer: a**(244788\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 294*a + 58789 = -293*a, 4*l + 3*a - 47018 = 0. What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-7))\/((-51)\/((-17850)\/(-550)))?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.696 + 3.696. What is the closest to h in -0.07, 1, -26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 1\/18*z**6 - 3 + 5\/6*z**4 + 1\/3*z + 10\/9*z**3 + 1\/3*z**5 + 5\/6*z**2. Factor y(b).\nAnswer: (b + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1630048 is divided by 542963.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628594 is divided by 8381.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094 less than or equal to -198\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 0 - 0\/2. Let v(z) = 23 - 4*z + 19 - 4*z + 6*z. Let o be v(20). Solve o*w = q + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8416.2 + 8416. Sort -12, 0.1, g, -0.016 in descending order.\nAnswer: 0.1, -0.016, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1820, -1756, -1496, -914, 116?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47957753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4800 divided by 1200.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjejzezjjkjjez. Give prob of picking 2 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/60 + z**4\/6 - z**3 - 12*z**2. What is c(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898656 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347.227 + 347. Let b = 0.1451 + r. Let l = -3.6719 - b. What is l rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*-3 + (11 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 4*a)*(275 + 124 - 116)*(4*a**4 - 4*a**4 + 2*a**4).\nAnswer: -1132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 228677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9 + 0*d**2 + 4*d + 4*d - d**2 + 4*d**2. Let h be z(-6). Suppose 0 = -3*l + 81 + h. Calculate the highest common divisor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3121 (base 6) to base 9\nAnswer: -854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 7, l: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/3 - 2*t**2 + 2*t. Find w such that k(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/((j*j**(-2\/19))\/j))\/(((j\/((j\/(j\/((j\/(j**1\/j))\/j))*j)\/j))\/j)\/(j*j**0\/j)))**(-22\/3) assuming j is positive.\nAnswer: j**(-572\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 m when four letters picked without replacement from cjjucjcmmmjuucjm?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5037744 is divided by 2252.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 890*n**3 + 52200*n**2 + 972000*n - 2160000.\nAnswer: 5*(n - 2)*(n + 60)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -1 + 2 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -71*p - 42 + 31\/2*p**2. What is the first derivative of s(f) wrt f?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 20832.\nAnswer: 624.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 h, 1 k, and 1 f when four letters picked without replacement from {f: 1, k: 3, h: 2, o: 3, t: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)\/(m**5*m))\/(((m\/(m*m*(m\/m**(-1\/2))\/m))\/m)\/m*m**(-7))*m**(-2\/17)\/m**(-8)*((m*(m**(-1\/4)*m)\/m*m)\/m*m*m)\/(m**(2\/3)\/m) assuming m is positive.\nAnswer: m**(1063\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 24316\nAnswer: -1\/6079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3947, -4\/9, 0, -3\/8?\nAnswer: -1\/3947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 21, 20, 5, -30?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 705*h**2 - 1425*h - 715.\nAnswer: 5*(h - 143)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 367038760 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = c - 17, 9*q - 4*q = -3*c - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvvvwvrrrrw. Give prob of picking 3 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 11*a**2 + 5*a - 5. Let j be u(-8). What is the greatest common divisor of 25 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6497301.\nAnswer: 3, 853, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 0.2 (c) -4\/3 (d) 2\/5 (e) 10\/607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 9370071*w + 37480300.\nAnswer: -(w - 9370075)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 148, 349, 632, 997?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6379 - 1237 = 0. List the prime factors of f.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (15 - -1) + (74 - 122)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let r(y) = y + 7. Let z(j) = 2*j + 13. Let b(o) = 11*r(o) - 6*z(o). Calculate b(i(k)).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47192, 47167, 47142, 47117?\nAnswer: 47092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + 1. Calculate the common denominator of 21\/478 and ((-11)\/12*1)\/(1\/x).\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-890)\/4*(-1398)\/1165. Let p(k) = -k**2 - k + 187. Let y be p(0). Let f = x - y. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:52 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((sqrt(42)\/sqrt(3))\/sqrt(7)))\/(sqrt(48)\/(sqrt(96)\/sqrt(8))*-2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.7 (b) -2\/11 (c) -0.1 (d) -3 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43525847464926 - -0.1.\nAnswer: -43525847464925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i. Let c(m) = -2*m + 20. Determine c(s(t)).\nAnswer: -16*t + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64757993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w - 10 = 0. Let g(h) = -12*h - 6. Let m(t) = -11*t - 5. Let v(z) = -4*g(z) + 5*m(z). Is v(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {s: 1, o: 5, a: 12}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q - 37, 5*g - q - 7 - 14 = 0. Solve 4*j - g = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 7464681 = -4132659 + 5706011. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 + n + 1. Let h be l(-1). Suppose -7 + h = -t - 2*x, -4*x = -4. Let y(o) = o**3 + o**2 - 2*o. What is the units digit of y(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2921*((2 - 1) + 0). Let a = o - -17669\/6. What is the common denominator of a and 29\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9890)\/(-172))\/23*(1 + 5)*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/52)\/((-308)\/(-286))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 222201020122?\nAnswer: 222201020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 85 - 3*m - 188 + 4 + 99.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1676*g**2*x**2 - 3*g**2*x + 6*g*x**2 - 2*g*x - 15*x**2 + 13 wrt g?\nAnswer: -3352*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3894 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16832 and 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5 + 16*u**4 - 63*u**3 + 92*u**2 - 44*u = 0. What is u?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.91 + 0.01. Let b = -1 - x. What is the closest to b in 0, 2\/9, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589780 - 589175 + 1768133 - 589178 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11666698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 + 919852*m**3 - 70512788016*m**2 + 1801977771963968*m - 12610389592634624 = 0.\nAnswer: 7, 76652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 t when four letters picked without replacement from {t: 2, k: 1, d: 4, f: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 22*i + 59 = 0, -11*x + 6*x - 4*i = -6*i - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*m**2 + 141*m**2 - 315*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 + 144?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 937 - 937 - (90 + -16 - (8 + (2 - 5))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 2. Suppose 0 = i + o, -4*w + w - 3*i = -24. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178690 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhehthehheeh. What is prob of sequence thee?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 229 = 5*d + 5*o - 386, 5*d = 4*o - 48 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*d**3 + d**2*p**3 + 10*d*p**2 + 3*d*p + p**3 wrt d.\nAnswer: 90*d + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1108300309 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -640, -1453, -2590?\nAnswer: -4051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9722493 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: Let a(x) = 20*x**2 - 30*x - 26. Let k(b) = 7*b**2 - 10*b - 9. Let d(h) = -h**2 + 4*h - 6. Let g be d(4). Let z(i) = g*a(i) + 17*k(i). Is z(7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-7) + (-6)\/(-42). Solve 3*d + 2 + 1 = 3*z, -u*z - 5*d = 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 8 = 3*o - 3*j, -2*o + j + 12 = 0. Suppose -t + 4*a + 8 = a, 4*t - o*a - 16 = 0. Factor 3\/2 + 0*d**t - 9\/4*d + 3\/4*d**3.\nAnswer: 3*(d - 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 416635\nAnswer: -4999620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**3 - 3*y**2 + 2*y + 4. Let r(s) = s**2 + 24*s + 45. Let v be r(-2). Let b(p) = p**3 + p**2 - 1. Calculate v*k(d) + 4*b(d).\nAnswer: -2*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3891, 7822, 11827, 15942, 20203, 24646, 29307?\n\"Answer: 6*d**3 + d**2 + 3886*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6 + 29 = g + 14, 0 = 4*j - 4*g + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(5\/(-35)*28\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0504201 times 5?\nAnswer: -0.2521005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1700\/255 + (-4)\/6 - -3. What is the highest common divisor of p and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 10*f = 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*-1*-6 - (sqrt(88) + sqrt(88) + (sqrt(88) + 2*sqrt(88) - sqrt(88)))*-1)\/(sqrt(128)*-2*-4).\nAnswer: 11*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 456*n*s**3 + 17*s**3 - 7*s wrt n?\nAnswer: 456*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0, 3, 1.4, 2759?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from iyiciyyii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.6 + 10. What is the nearest to 0.2 in -0.06, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001058897 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 7:05 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (8 - 1) - -1. Suppose -19*h + 24*h = 4*i - 2794, -2*i + 5*h + 1402 = r. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37356657 is divided by 684.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (-33 + -6 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let h = i + -3.08. What is h rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9858 and 338148?\nAnswer: 17921844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 21 = -3*b. Suppose 0 = -b*z + 5*z + 1260. What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 137*p - 24. Give r(35).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let a(u) = 20631405*u - 1. Calculate h(a(i)).\nAnswer: -20631405*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxxkkgx. What is prob of picking 1 x and 2 k?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-204))\/((5\/10)\/((-12)\/(-18)))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*n + 1\/2*n**2 + 73\/2.\nAnswer: (n - 73)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 959823226, 1919646450, 2879469674, 3839292898, 4799116122?\nAnswer: 5758939346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202593 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4025 + -4017. What is the greatest common factor of a and 12080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-16 + 2) + 0. Let q = -67 + d. Let g = -28 - q. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 197*u + 155988*u**2 - 23 - 155986*u**2 as q + c*u + m*u**2 and give c.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 384743 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.8. What is the closest to v in 0.5, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 185, 448, 841, 1430, 2281?\n\"Answer: 11*f**3 - f**2 + 189*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 3*t. Let d(v) = -v**3 - 318*v**2 + 988*v. Let s(n) = -d(n) + 2*k(n). What is the second derivative of s(z) wrt z?\nAnswer: -6*z + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12727073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 50. Let q = u - -22.6. Let f = -0.4 + q. What is f rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*u**3 + 681*u**2 + 66690*u - 26784.\nAnswer: -3*(u - 93)*(u + 48)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*t**2 + 219 - 85 - 131.\nAnswer: 70*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/12*(0 - 25) and ((-2 + 4)*-1)\/((-84)\/141).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 111. Let s = -25 + g. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 9 = s + 11, -2*v = -s + 32 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + 5 + -31 + 19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from kzzykzzzkkkzkzkkkhzw?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 491845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let c(y) = -4*y**3 - y - 2 - 1192284*y**2 + 2*y + 1192287*y**2 - 2*y. Let l be c(w). Solve g - 7 = -l*u + 4*u, 4*u - 11 = g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 1408820*g - 1408825.\nAnswer: 5*(g - 1)*(g + 281765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o + 57. Let u be a(8). Put u, 1, -8 in ascending order.\nAnswer: -8, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 478, 969, 1446, 1903, 2334?\n\"Answer: -w**3 - w**2 + 501*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18390421, 36780834, 55171233, 73561612, 91951965?\n\"Answer: -k**3 - k**2 + 18390423*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5177 and 1169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by 890.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u + 36*u - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 17*w - 60. Let h(k) = -k**2 + 4*k - 15. Let s(t) = 9*h(t) - 2*n(t). Let j be s(-23). Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*u**2 + 7*u**5 - 15*u**4 - 167*u**3 - 131*u + 687*u + 168 - 288*u**2 + 32*u**4 + 13*u**4 = 0 for u.\nAnswer: -7, -2, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from ddvvvyvyvdvd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16\/9*j + 32\/9 + 2\/9*j**2 = 0. What is j?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-529)\/23 + 158600\/4 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 872, 6748, 22656, 53600, 104584, 180612, 286688?\n\"Answer: 834*m**3 + 12*m**2 + 2*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c8c + 83?\nAnswer: 6d0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3)\/((-307)\/18113)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 36*q + 337. Give k(-27).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2 + v)*(-6 + 5 + 5).\nAnswer: 4*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 + 2070?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 78, -5, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + -9 + 107 + (-23 + 27 - 12).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5677 - -5679. What is the nearest to 275 in w, -4, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/20)\/(23\/((-4140)\/(-48))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60093*b - 37633 wrt b.\nAnswer: -60093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/15 - 5*b**4\/6 - 27*b**2. Factor h(c).\nAnswer: -4*c*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 7*u + 7. Let c = -937 - -941. Suppose -2*j = -k + 13 + 4, 4*k = -4*j - 40. Let p be (-15)\/j*(-1 + c). Calculate l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -47, -75, -105, -137?\n\"Answer: -t**2 - 23*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -13.8.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 23*n = -15. Let i(f) = -f + 3. What is i(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4214355 by 1.\nAnswer: -4214355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.08 - 0.08. Sort 0.5, d, 0.3 in ascending order.\nAnswer: 0.3, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*b + 26495 = 25679 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 568101467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**3 - 22*w**2 + 10*w - 88. Let h be f(-28). What is h rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (-110)\/(-6))*1086\/(-4).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/17523 and -68\/177.\nAnswer: 17523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g\/g**(-2)*g*g)\/(((g\/g**(-3\/2))\/g)\/(g\/((((g*(g*(g\/g**(7\/2))\/g)\/g)\/g)\/g*g)\/g))) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/2)\/(((-1656)\/54)\/23).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/24 or -2?\nAnswer: -25\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73260 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 divided by 1746?\nAnswer: 197\/1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:49 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63598059 to the nearest integer?\nAnswer: 7975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 4:36 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8380 - -8379.9. Let r = 0.4 + 3.6. What is the closest to -1\/4 in -1, -3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 4*q**2 + 5*q - 4. Let n be c(5). Let l = -1695 - -1688. Is n equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**4 + 2*q**3 - 30001*q**2 + 828043*q?\nAnswer: 72*q**2 + 12*q - 60002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*176.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*h - 970, -29*v + 31*v + 4*h - 1946 = 0. Is v a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(-10*272\/160).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.94 - -0.06. Let u = 133 - 137. Which is the third smallest value? (a) j (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3632161 is divided by 249.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p**2 + 7. Let n(d) = -6*d**2 + 3. Let l(u) = -14*n(u) + 6*t(u). Let c(m) = -m**2. What is c(l(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(-2)*315\/189.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.928 + -0.072. Let u = -111 + 112.96. Let j = -0.04 - u. Is j equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q + q**3 + 1 + 7*q**3 + 1 - 16*q**2 - 7*q**3. Let g be b(15). Let i(f) = 7 + 14*f**g + 5*f**2 - 7. Let y(d) = d. Give i(y(z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -154050000 to the nearest 1000000.\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let k be 3\/(-2)*20\/(-15). Factor -4*n**k + 2*n + n**z + 0*n**2.\nAnswer: -n*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -129\/2. Let y(t) be the first derivative of -1\/4*t**4 + 0*t + 2 + m*t**2 + 0*t**3. What is the second derivative of y(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2519, 5009, 7499?\nAnswer: 9989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 126*z + 126*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 93492.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 11. Suppose -2*h - 3*m + 4 + w = 0, 0 = -2*m + 8. Let n(a) = a**2 - 7*a - 8. Let d be n(8). Sort 4, h, d in increasing order.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9797, -9828, -9875, -9944, -10041?\n\"Answer: -l**3 - 2*l**2 - 18*l - 9776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5\/2, -1.15, -1, -5, 21\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34616 - 20025. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612\/16 + 1\/(-4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42.61022t?\nAnswer: 42610.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 484*v + 2995. Let f be r(-6). Let u(h) = 234*h**3 - 91*h**2 + 91*h + 91. Let z(y) = -13*y**3 + 5*y**2 - 5*y - 5. Determine f*z(x) + 5*u(x).\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 484453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/97899 + -9104639\/1566384. Find the common denominator of u and 59\/48 - 2\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + h + 1)*(-1 + h + 1)*(-54 - 753 - 51)*(2 + 2 + 0) as n + w*h**2 + b*h and give w.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/138 and -23\/198.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.37 (c) 248 (d) -2\/17 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 881.757705 to 0 decimal places.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-32 - -25 - -1) - 29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - j + 3*j**3 + 2*j - j - 372 + 165.\nAnswer: 3*j**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 183 = -4*o, -3*a = -3*o - 0*o + 135. What is the greatest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:36 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -49.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10384*d**2 - 11*d + 56. Let m(v) = 5192*v**2 + 5*v - 24. Give -3*c(q) - 7*m(q).\nAnswer: -5192*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*v + 10*v - 232. Which is greater: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*c = -67650, 60*j - 62*j + 67618 = -3*c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4791.2 and 1?\nAnswer: 4790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -364 - -382. Suppose 245 = -u*r + 749. Calculate the lowest common multiple of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - -5) - -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -108864 (base 9) in base 11?\nAnswer: -45305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h. Let g(v) = 4*v**2 - 2*v - 2. Let r(q) = -3*a(q) + g(q). Let d be r(5). Put -3, 5, d in descending order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2418, -4487, -6556, -8625?\nAnswer: -10694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9*f**2 - 1663*f + 5591. Calculate a(-188).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1490, 6, -5, -12 in decreasing order.\nAnswer: 6, 3, -5, -12, -1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 4\/5 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3.1, 0, -2\/15 in descending order.\nAnswer: 3.1, 1\/3, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypbyyyyyyypyppj. Give prob of picking 1 y, 1 p, 1 b, and 1 j.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18918 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 7*u**2 + u - 8. Give f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 + 9*u + 11. Let z be v(-8). Let o be ((-1)\/6)\/((-5)\/(-10)). What is the closest to o in -1.6, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7529.55804 rounded to one dp?\nAnswer: -7529.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 - 7283*t**2\/3 + 796310*t\/3 - 1563496\/3 = 0 for t.\nAnswer: 2, 109, 7172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 5*i + 5. Let m(f) = -4*f**2 - 6*f - 6. Let p(g) = 5*m(g) + 6*o(g). Let z(c) = c**2 - 6. What is z(p(n))?\nAnswer: 4*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 12, -92353 in decreasing order.\nAnswer: 12, 4, 1, -92353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:41 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -62. Let x = b - 25. Let q = 1 - x. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/21*(-105)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26567 + 47.266096742.\nAnswer: -26519.733903258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -475 (b) -2 (c) 1\/20 (d) -15 (e) -0.7 (f) 0 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:46 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 1. Let i(h) = -h - 2. Let w(y) = -y - 3. Let o(d) = -4*i(d) + 3*w(d). Suppose -5*j - 2*g = 7, -3*g - 8 + 10 = -5*j. Determine j*c(l) - o(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7565 - -17133. What are the prime factors of t?\nAnswer: 2, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14098729 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -1 (c) 0.12 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v + 37. Let q be (15\/(-9))\/(-2*2\/12). Let o be w(q). Suppose -o = -2*f + 5*n + 201, -5*n = 2*f - 328. List the prime factors of f.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10463?\nAnswer: 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-109144)\/(-6665580))\/(14\/60).\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-1232 + 797 + 2101 + 2301)*(0*r**2 + r**2 + r**2).\nAnswer: -15868*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/(-35))\/((-3)\/(-345)). Let x = 141 + d. Solve 2 - 14 = x*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6646817 minus 68?\nAnswer: -23.3353183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/48 and -21\/800.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-15)\/(-11) + (-1214)\/11. Suppose -545 = n + 4*n. Let s = z - n. Let a(t) = 15*t**2 + t + 1. Determine a(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*f - 604 = -78*f + 7104 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -775 - -2324. Suppose -4*g - 4*p = -3048, 7*g = 5*g + 3*p + d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:48 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 4*k - 3*k)*(-4 + 1 + 2)*(5 - 1 + 2).\nAnswer: 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2*i**2 - 8 + 5 + 8*i**2. Suppose 4*w - 18 = 2. Let g(n) = -n**2 + 1. Give w*g(p) + x(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 4*w - 46, 2047 = -4*j - 3*w + 2079 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 - d**2. What is c(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 39462332.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2305*n**2 + 1129.\nAnswer: 4610*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 3 = 9*c. Let k = 40 + -22. Let n be c\/(3 - 52\/k). Calculate the greatest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 0 = 5*j + 15, -6*j - 12 = 8*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -32*g - 1961880 + 1962360 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.1 + -99.2. Let j = -69 - p. What is the smallest value in j, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106980 = -148*b + 104908 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1868 - 8.\nAnswer: -12.1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*k**2 + 2998*j**3 - 39*j*k**3 - 16*j*k wrt k?\nAnswer: -2*j**3*k - 117*j*k**2 - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -21. Let c = 4 + v. Let h(r) = r**2 - 3*r. Give h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (23 + -22)*(1 - -3)\/2. Solve 14 + a = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 655 + -619. What is the second derivative of -24*q**3 - 19*q + 52*q - 1 + 17*q - h*q**3 - 29*q**3 wrt q?\nAnswer: -534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3456 is divided by 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2327, -8505, -18801, -33215, -51747?\nAnswer: -74397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (-11 + 5 - -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101251191*x**2 - 12745726.\nAnswer: 202502382*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:47 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 1\/6*q**4 + 0*q**2 - 1\/20*q**5 - 15*q + 0 + 0*q**3. Determine s, given that g(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*r + 308*r = -4*u - 57, -39 = 3*r + 3*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + (-1 - -2) + 5 + -7. Let t = 687 + -714. Is t bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -11\/15 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146419271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5510, -4, -2532\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 18, z: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**12)\/a))\/(a**8*a))**(-42) assuming a is positive.\nAnswer: a**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*i**3 + f**3*i - 78*f**2*i + 1572*f*i**4 + 3*f*i wrt i.\nAnswer: 12*f**3*i + 18864*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 + 0)*(2*n**3 + n**3 - 2*n**3) + (-n**2 - n + n)*(-3*n - 4 + 4))*(2 + 3 - 2) to t*n**3 + h*n + w*n**2 + f and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347, -718, -1111, -1526, -1963, -2422?\n\"Answer: -11*k**2 - 338*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2034604*h**2 - 395*h + 717?\nAnswer: 4069208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28278366 * -1\nAnswer: 28278366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2101 + -2094. Solve -s = -2*o + t, -5*o + 14 = -0*s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = v - 18. Suppose -4*x + 2*w + 76 = 0, 5*w = 3*x - 0*x - 50. What is the remainder when v is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-1080))\/((-90)\/5625)?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 253497897 - -18559\nAnswer: 253516456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 11 = -4*q, 0*g + 3*q = 2*g + 9. Let c be g - (-24)\/(-3 - -6). Let l be (-2)\/11 + 24\/11. Solve r + c = 0, -l*r = -3*w + 2*r + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252 + -1?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 14*c + 5. Let n(g) = -7*g - 35. Let o be n(-6). What are the prime factors of d(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 13*f + 20. Suppose -2*w = -y - 88, 0*w - f*w = 2*y - 176. Suppose 43*i - w*i = -6. Which is smaller: 36\/7 or i?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 - -1218109967\nAnswer: 1218109966.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3*(-3)\/(-36) + -1). What is the nearest to -1 in k, 0.3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101011000100 (base 2) in base 14?\nAnswer: -3dc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0839 + 23515571.\nAnswer: 23515570.9161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5\/7 + 2384*s**4\/7 + 7244*s**3\/7 - 33496*s**2\/7 - 28912*s\/7 + 95840\/7 = 0.\nAnswer: -5, -2, 2, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = p + 359, -3*p + p - 725 = -5*f. Suppose 0 = 3*t - 2*t - 2*g - 37, 0 = -4*g - 20. Does 8 divide (1 + -4)\/(t\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 117 = 3*p, 3*r - 93 = 3*p. Suppose 3*m = 2*g + 52, 3*m + 4*g = -0*g + 22. Let z = 22 - m. What is the remainder when r is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2840, 11370, 25592, 45506, 71112, 102410?\nAnswer: 139400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5293 + -3675. Let y = -404 + a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(704) + -4 + (-1 + sqrt(704) + sqrt(704))*-4)*3.\nAnswer: 1008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 751396055 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 - -839. Let b = -293 + v. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96922?\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 + -0.06. Let f = q + -0.17. Suppose 16 = 3*d + 1. What is the biggest value in d, f, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/33 in 0.5, 3\/4, 4, 1\/38, -2\/17?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2 - 16*c - 55. Let j(l) = -3*l**2 - 11*l - 37. Determine 7*j(d) - 5*t(d).\nAnswer: -d**2 + 3*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 584, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let d = 3.312 - 6.35. Let c = -0.038 - d. What is the biggest value in 4, a, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 16*n**5\/45 - 23*n**4\/18 + 14*n**3\/9 - 5*n**2\/9 - 2*n\/9 + 50. Factor s(z).\nAnswer: 2*(z - 1)**3*(8*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 3*u + 45, -1387*b + 3*u = 1337*b - 2723*b + 11 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7935291 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6157, -3, 4 in increasing order.\nAnswer: -6157, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:39 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493506 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -98. Solve -18 = -5*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2054\/9 - 228. Let w = 19\/36 + f. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64673, -129351, -194029, -258707, -323385, -388063?\n\"Answer: -64678*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 5157*y**3 - y.\nAnswer: 5157*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -11. Let u = -8115 - -8115. Solve u = -g - g - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23607808 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7701\/57415?\nAnswer: 7701\/57415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.738 and 0.4.\nAnswer: 16.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-8) + (-51)\/204)*(-22 + 16).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5138880 divided by -107060.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1837*t**2. Let w(h) = -237*h. Let u(m) = -514*m. Let s(l) = -6*u(l) + 13*w(l). Determine s(g(z)).\nAnswer: 5511*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371395046.\nAnswer: 2, 11, 109, 154877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 - 0 - -1. Let j(k) = 1 + 184*k - 185*k - v. Let o(a) = 4*a**2. Determine o(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 90*s - 451. Give u(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28620 = 48*a - 68*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from uguuugugugug.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8476 and -0.9?\nAnswer: -1.66284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from cccrooocrcccrccrcoo?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -10. Let l = 14.6 + n. Let s = 4.11 - 0.11. Which is the third biggest value? (a) l (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - 6*j + 47. Let f be c(4). Suppose -3*s - 296 = -2*q, s - 3*s - 198 = -q. Let p = f - s. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*f**2 + 254*f**2 + f**3 + 0*f**3 in the form k*f + l*f**2 + w + q*f**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477 (base 15) in base 6?\nAnswer: -32151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (17 + 7744\/770).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 21 = 3. Let m be (98\/20 + g\/15)*-8. What is the tens digit of (m\/24)\/(3\/(-106))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602782421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0605 + -0.19605?\nAnswer: -0.13555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-66)*72\/252\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-170)\/408*(-116)\/10\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (209 - 207)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 47 + -25 + -27 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16424, -65700, -147822, -262790, -410604?\n\"Answer: -16423*r**2 - 7*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + h + 56. Is 10 a factor of f(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 1448, 3306, 5896, 9212, 13248?\nAnswer: 17998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2 = -5*j - 0*v, 2*j + 2*v - 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 1 + 17859*i**3 - i**4 + 3*i**2 + 1 - 17863*i**3 as l*i**3 + x*i**4 + z*i + c + f*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18.117. Let s = r + -3.883. Which is the closest to 0? (a) -0.2 (b) s (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1106461 + 45?\nAnswer: 1106536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.5 (b) -5 (c) -2 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*3)\/sqrt(2) - sqrt(7)) + (1 + sqrt(7))*-4.\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 3.4. Which is the second smallest value? (a) -1\/4 (b) 2 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55532708?\nAnswer: 2, 7, 11, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-three quarters of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*f*u**4 - 13*f*u**2 - 23725*f - u**2 wrt u?\nAnswer: -244*f*u**3 - 26*f*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3 - 126*l - 3 + 128*l. Suppose 14*t = 18*t. Suppose -m - 3 = 0, t*i + 5*m + 8 = -i. Determine c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*v**2 - 43*v**2 + 2 + 2*v**3 - 2*v - v**3 + v**3 to w*v + j*v**2 + b + o*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*w + 27, -4*w = 8*c - 12*c - 40 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + 15*j + 8*j in the form t + a*j and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/2 - (-4)\/8. Suppose 3*w + 10 = -4*v + 4, -4*w - r = -4*v. Solve -t = -3*p + 2*t + 9, -t = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w + 0*w + 6*w - 2*w. Let y(b) = 33*b + 5. Determine d(y(v)).\nAnswer: -99*v - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 105*j = -103*j - 17, -27 = 4*v + 3*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 11*v**2 + 11*v + 12. Let w be i(-10). Which is the second smallest value? (a) -2\/5 (b) 3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 583 + -582.242. Round k to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70955, 567306, 1914279, 4537100, 8860995, 15311190, 24312911, 36291384?\nAnswer: 51671835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 2884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q - 2. Give r(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 11:57 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142, -279, -412, -541?\n\"Answer: 2*n**2 - 143*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11144103 (base 7) to base 4\nAnswer: -3230211003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + -3)*((-6 - -7) + -3) and 391?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24920\/1080 - (31 - 8)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -207*d**3 - 33*d**2 + 705*d - 33. Let m(o) = 13*o**3 + 2*o**2 - 44*o + 2. Let r(n) = -2*h(n) - 33*m(n). Find the second derivative of r(u) wrt u.\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -1. Let n = 4.1 - 4. Sort n, -12, j.\nAnswer: -12, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 37630.\nAnswer: -21\/37630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2 + 2 + (0*q + 0*q + q**2)*(-q + q**2 + q) - 4*q**4 - 3*q**4 + 20*q**4 + 36 + 4*q**4 - 36.\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 19. Suppose 5*h - q = 36. What is the remainder when 59 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 31*c**3 - 20*c**3 + 8*c**2 - 8*c**3 + 4*c = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68783.\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:39 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -47, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.206 and 0.2.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.59669, -4, 0 in increasing order.\nAnswer: -4, 0, 19.59669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -648 divided by 757\nAnswer: -648\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-4*z**3 + 4*z**3 - 5*z**3)*(38*z**2 - 34 + 34).\nAnswer: 190*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -3) + 7 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1288 + -461. Let o = x - 422. Suppose -2*c + 485 + o = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 divided by -3?\nAnswer: -1804\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = 3*h - 27*q - 3, 0 = h + q - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*b**2 + 2 + 187*b - 2.\nAnswer: -2*b**2 + 187*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**3 + 27*t**2 + 41*t - 3. Give a(-7).\nAnswer: -3083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19746 and 20?\nAnswer: 197460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -195*z**4 + 103*z**4 + 95*z**4 - 2*z**3 + 21*z + 4*z**4 - 4*z**4 - 3*z**4 + (-5*z + z + 3*z)*(z**3 - 1 + 1).\nAnswer: -z**4 - 2*z**3 + 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6. Let c = 16 + -14. Let g = c + -7. Let p(b) = b**2 - b - 5. Let l(m) = g*u(m) - 6*p(m). Find the second derivative of l(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 2. Suppose 4*b = -0*b. What is the units digit of m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16200 = -3*f + 4*l, -5*l - 16200 = 3*f - 0*l. 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: Suppose 130*s - 133*s + 312459 = -4*x, 3*s - 312471 = 2*x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = q + 4*b - 14, -q - 5*b = -26. Let i = q + -4. Suppose i*r - 4 = -2*r. Solve r + 0 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r + 26 = 3*w, -4*w = -4*r - 24. Suppose 4 = -4*s - x, 4*s + 3*x + x = 8. Sort w, 3, s.\nAnswer: s, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33705391 > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let y(o) be the first derivative of 3*o - 3 - 1\/2*o**d. Find the first derivative of y(z) wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -134. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 101 (c) 1\/3 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/((-120)\/10)*(-2)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 14*k + 10. Let v = -163 + 151. Give s(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b\/(b**(2\/11)\/b)*b)\/(b**(-1\/4)\/b*b**0\/b) assuming b is positive.\nAnswer: b**(399\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 36. Let t be z(-21). Suppose f - 116 = 91. Suppose -21 - f = -t*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 72. Calculate the remainder when 28 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - ((-4 - -1) + 2). Let p be -4 - (-53 + (0 - -4)). Suppose -4*c - p = -105. Calculate the highest common divisor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16458792, -32917585, -49376378?\n\"Answer: -16458793*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**3 + 2*i**2)*(0 - 2 - 1) + 6*i + 4*i**3 + 406*i**2 - 406*i**2.\nAnswer: 7*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 1:53 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 + m. Let l be h(5). Suppose l*r + 20 = 0, -r + 839988 = 4*j + 2*r. What is j rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92310536 divided by 4\nAnswer: 23077634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 8*t**2 + 6*t - 1. Let j(s) = -5*s - 2. Let z = 10320 + -10323. What is z*p(r) - 10*j(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(-4) + (-5)\/(-10). Let y be (-1 - 3\/m)*-10. Suppose 0 = -i + 2*i - 3. Is i at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 + -16 + (-44)\/8 + (-78)\/4. Sort -1, -5, 4, a in ascending order.\nAnswer: a, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/192*2\/(-378). Let w(n) be the third derivative of 0*n**7 + 0*n + 1\/360*n**6 + 0 + 0*n**4 + 3*n**2 + 0*n**5 + 0*n**3 - t*n**8. Factor w(l).\nAnswer: -l**3*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.279656461 to four decimal places.\nAnswer: -0.2797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55416857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 3 = 20*z. Let g be 2*(5 - (z + -2)). Solve j + g = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8664 + -8663. What is the closest to 0.1 in z, -3\/5, 0, -2338?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*t + 240 + 74, -166 = -q - 2*t. Calculate the lowest common multiple of 297 and q.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40, -40, -36, -28, -16, 0?\n\"Answer: 2*m**2 - 6*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {m: 6, p: 3, q: 1, w: 7}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -29. Let a = c - -29. Suppose -2*p + 2*o + 4 = 0, -5*o - 7 = -p + 15. What is the third smallest value in p, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -165576717 + 2?\nAnswer: -165576715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 2)*(5*c - 5*c + 4*c**2).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*3*sqrt(200) + (3*-1*sqrt(16))\/((sqrt(96) - (sqrt(96) + (sqrt(96)*-2 - sqrt(96))) - sqrt(96))\/sqrt(12)).\nAnswer: -4 + 117*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2448) + 2)*6 + -2 - (3 + (sqrt(2448) + 1)*4)))**2.\nAnswer: 1296*sqrt(17) + 88209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x + 14 - 7 - 7 in the form u + q*x and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g**2 + 6*g - 15. Calculate the remainder when s(-8) is divided by 566.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2775*q**4\/2 + 3405*q - 5531. What is the derivative of c(r) wrt r?\nAnswer: 16650*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17112415921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/576830 and 11\/3922?\nAnswer: 30571990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 6*11*520\/120.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-30) - 5 - -5)\/((-18)\/135) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 62483, -5 in descending order.\nAnswer: 62483, 7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9. Suppose h + u - 6 = 0. Which is smaller: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1 + 0)\/(-2). Let d be 5 - 0 - i\/1. Suppose t - 7 = x - 0*x, -d*t = -2*x - 18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 11 = -6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90820*q - 1 + 5 - 5.\nAnswer: 90820*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -g + 21, 17 = -22*g + 27*g - 2*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 1, 5 in decreasing order.\nAnswer: 77, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 7, t: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*v - 29, 30*i + 14948*v + 76 = 14944*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.09 (b) 18 (c) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/50 - 13\/10)*-4. Let s be (1 + -2 + 5)\/h. Which is greater: s or 11\/8?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 79 = -44. Suppose -3*a = 2*d - 163, 0*a = a + 3*d - 45. Let h = a + -25. Solve p*b + 7 = h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 20*q - 10 + 0*q**2 - 11\/3*q**3 + 3\/2*q**4. Let t(v) = 2*v**3 - 4*v**2 + 7. Calculate 6*g(y) - 17*t(y).\nAnswer: 2*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let z = -145 + 147. Let h be 2\/(-1) - (-1 - 1). Solve -n - 3*j + 4*j - c = h, -z*j = n - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1635 divided by 2059.\nAnswer: 1635\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.25.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1728\/252)\/((-18)\/(-63))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 + 6*p - 4. Let f be c(5). Let s = f + 1. Suppose 2*j + 2 + 8 = 0. Put j, 3, s in descending order.\nAnswer: 3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2426861 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - z**2 + 1. Let w(q) = -3*q**3 + 50*q**2 + 98*q + 106. Let m(p) = 2*b(p) + w(p). Give m(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 6 - (1 - -6)) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45\/46 + 12\/23. Let w = 1 + h. Suppose 5*n**2 + 1\/2 - 5\/2*n + w*n**4 - 5*n**3 - 1\/2*n**5 = 0. What is n?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {e: 2, c: 2, t: 10, k: 3, u: 1, i: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 11) in base 4?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 295 - 376 + 409 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:44 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/50 + 129*h**5\/100 + 483*h**4\/20 + 441*h**3\/10 - 773*h. Factor p(v).\nAnswer: 3*v*(v + 1)*(v + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340528?\nAnswer: 2, 3, 48761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 617 (b) 1344 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Suppose 3*i - g = 7. Suppose y - i*y = -18. Calculate the highest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*i = -20, 0 = 3*k - 179*i + 182*i + 24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 2*m + 7. Let k(s) = 2*s**2 + 3*s + 8. Let g(t) = t**2 - 11*t + 5. Let p be g(11). Give p*u(y) - 4*k(y).\nAnswer: 2*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 - 8*g**2 - 7*g + 7. Let l(i) = 2*i**3 - 4*i**2 - 3*i + 3. Let v = 29 + -22. Let f(k) = v*l(k) - 3*b(k). Factor f(s).\nAnswer: -s**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-391 + 391 - 92*k)*(-8*k**3 + 4*k**3 - 2*k**3) - k**4 + 4*k**2 - 4*k**2 + (-2*k**3 + 0*k**3 + 3*k**3)*(-2 + 2 + 2*k).\nAnswer: 553*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.652963 and -12.39?\nAnswer: 13.042963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (157 + -155 + 4 + (4 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, p: 2, u: 3, d: 3}. Give prob of sequence jzpd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 129365057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + y = -10, u + 3 = -y + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -518294 at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 36\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 48*f - 231. Determine b(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/3 + 6434*v**3\/3 + 109774*v**2\/3 + 196098*v + 316932 = 0.\nAnswer: -7, -3, 3234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12961 divided by 1?\nAnswer: -12961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4 + 0 + d + 9 + 4. Let t be q(-3). Solve -t*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583\/3 - 38\/57.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5121, 10041, 14751, 19245, 23517, 27561, 31371, 34941?\nAnswer: 38265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1208836410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1295936*q**2 + 563*q + 759 wrt q.\nAnswer: 2591872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 6*q + 1. Let l be w(5). Suppose -44 = 4*y - 9*y + 3*s, l = 3*s. Calculate the least common multiple of 8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {d: 14, s: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/65 + 24\/65. Let v = 29 - 53. Let b = v + 23.7. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 65 + 28 - 93.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(3300)*-6)\/((-2*sqrt(30)\/sqrt(2))\/(sqrt(15)\/sqrt(12))))**2 + -2.\nAnswer: 61873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3922*n**5 - 4*n**2 - 2*n - 9570 wrt n?\nAnswer: -78440*n**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2442\/(-296))\/((-66)\/144)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(sqrt(68) + sqrt(68) + 1*(-2*sqrt(68) - sqrt(68)) - sqrt(68))*-4)\/(6*((-2*sqrt(240) - sqrt(240))\/sqrt(6))\/(sqrt(10) - 2*sqrt(250))).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, -12 in descending order.\nAnswer: -1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/((-2)\/(-12)). Let k be (-16)\/(-6)*(-9)\/(-12) - 0. Suppose c + 4*c = m*d - 37, 5*d - 40 = k*c. Let b(l) = -l**2 + 4*l + 4. Give b(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 5*h + 4*f + 30 = 0, -1 = 3*h - v*f + f. Calculate the lowest common multiple of 14 and (8\/10 + h)*-10.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 639, 1248, 2263, 3684, 5511, 7744?\n\"Answer: 203*o**2 + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 3*o)*(-4*o**4 + 4*o**4 + 3*o**4) + 0*o - o**5 + 0*o.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207380825 and 489?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18781212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -97.\nAnswer: -11\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103.433 + -2.407. Let n = -109 - c. What is n rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -190, -268, -346, -424, -502?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 28*q - 72. What is d(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j - 721 + 626)*(2 - 2 + 2)*(-39 - 6*j + 39).\nAnswer: 36*j**2 + 1140*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 6.1. Let r = f + 6.1. Let n = -6 - -9. Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a96 - 4?\nAnswer: a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036539949 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1980, -2354, -2728, -3102?\n\"Answer: -374*z - 1606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833274 is divided by 4125?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*8\/52*4\/8.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1030*l**2 + 1034*l**2 - 3110*l**2 + 1037*l**2 + 186*l in the form u*l**2 + m*l + a and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4673 + -4726. Let z(h) = -155*h**3 - h. Let y be z(-1). Let n = y + q. What is n rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -155*y. Let k(v) = -3*v. Give k(x(p)).\nAnswer: 465*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 995369\nAnswer: 398147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 + 6*z - 1. Let q be g(-3). Let x be -2 + 4 + (-1 - q) - 3. Let i = 15\/4 + -253\/60. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116724873 rounded to the nearest one million?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 41*g + 549 = 2*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1181754347607?\nAnswer: 1181754347597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*r**2 - 1 - 3*r**2 + 0*r**2 + 5*r**2 + (4*r + 2*r - 5*r)*(r - 3*r + 4*r) - 10 + 11 - 37*r**2 + 3*r + 19*r**2.\nAnswer: -12*r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v - 53. Let m be b(10). Let c(a) = -a**3 - 4*a**2 - 3*a. Give c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 3*h. Let o be t(3). Let m = 61 + o. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 381 - 344. Let k = -120 + j. Which is the nearest to 2\/3? (a) 2\/9 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = -6. Suppose -25 = -w + 6*w, 5*r + 45 = -5*w. Are r and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/2 - 2*g**3\/3 - g**2 + 2*g + 5. Let y(c) = 4*c**3 + 5*c**2 + 5*c - 5. Determine -5*l(r) - 2*y(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -1\/2 (c) 342 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r - 17. Let b(s) = -21*s + 34. Let k(d) = 6*b(d) + 11*c(d). Let h(y) = -32*y + 34. Let f(p) = -6*h(p) + 11*k(p). What is the tens digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72500 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*b + 4658 + 2356. Let u = b + 427. Calculate the highest common factor of 124 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*2)\/((sqrt(225) - (sqrt(225) - (sqrt(225) - sqrt(225)*2)) - sqrt(225)) + sqrt(225)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2970*n**3*v*w + 44*n**3 + 2*n*v*w - 190*n*w wrt v.\nAnswer: -2970*n**3*w + 2*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 14*l**2 + 16*l - 15. Let w be g(15). Suppose 2*y + 4 = -3*h, w = h - 7*y + 5*y - 4. Solve h = 5*m - 5*q + 2*q - 7, 0 = m - q - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13311*j - 13268*j - 13260*j + 53096*j - 13259*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(3 + 3 + 2)*(1 - 1 - 2*g) in the form a + t*g and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 608*x**2. Let m(b) = -84*b**2. Determine k(m(l)).\nAnswer: 4290048*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75593*d**4 + 161066*d?\nAnswer: -907116*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 713 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -640377?\nAnswer: 640382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 96 times -237442\nAnswer: -22794432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 379328.1 days in milliseconds?\nAnswer: 32773947840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-27) + 174\/90\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 230132?\nAnswer: 230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13770*x = -13974*x - 1428 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3413 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 856 + -858. Let l = -0.1 + -3.9. What is the biggest value in l, -2\/5, b, -4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 12. Suppose f + 369988 = -k*f - 3*z, -296012 = 4*f - 3*z. What is f rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(6641316\/474380 - 14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 63294204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2994*o**3 + 2*o**4 - 2985*o**3 + o**4 - o as m + a*o**3 + i*o**4 + s*o + b*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 7*g**4\/12 - g**3 - 4*g**2 - 9*g. Let f be b(-4). Suppose -f = 2*r - 4*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 385*a = -382*a + 38, l + a = -9 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530 and 40015?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 128*y**2 + 251*y - 122. Let n(m) = m**3 + 260*m**2 - 503*m + 242. Let r(u) = 2*n(u) + 5*w(u). Factor r(l).\nAnswer: -3*(l - 1)**2*(l + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.49 + -20.79. Let s(q) = q**2 + 7*q + 4. Let j be s(-6). What is the closest to -1\/2 in j, -1\/6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:06 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2243187 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5208, 5312, 5494, 5760, 6116, 6568?\n\"Answer: f**3 + 33*f**2 - 2*f + 5176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 377537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 820.5 - 595.37. Round l to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, 1, -6 in increasing order.\nAnswer: -11, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:21 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -853068 >= -853136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 895988 and 828?\nAnswer: 8063892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 24 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 132, 503, 1114, 1965?\n\"Answer: 120*k**2 + 11*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -80213 and -80212 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 29*f - 20 = 0, 2*o - 5*f + 15950020 = 0. Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2039*g - 158. Is y(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 + 103. Suppose 156 = y - b. What is y rounded to the nearest ten?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*a + 4*g - 1, -3 = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*2213\nAnswer: -1217.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-3 + 11) + -28. Let v be 3\/(27\/(-5))*-39. Let n = v + l. Which is the second smallest value? (a) 2 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107517167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42555026*b**2*w + 18239032*b**2 wrt w?\nAnswer: 42555026*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1201\/10 + -120. Let q = -3 + 2.5. Let x(t) = t**3 + t**2 - 2*t - 1. Let v be x(-2). What is the nearest to 0 in v, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 3*z - 14. Let v be u(6). Solve -1 = -y + 2*y + v*k, 3*y + 5*k + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9826)\/8670*5\/425*6*2\/(-10).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqgqfgq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 * 18.1.\nAnswer: 1954.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 97650.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 1, i: 3, y: 2, d: 1, u: 1}. What is prob of sequence dipu?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 24 = r, r - 4*h + 5*h - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 482452627+-9.6721\nAnswer: 482452617.3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from nnhoffssohhsh.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*n - 130*f*i*n - 2009*f*n + 2462*i*n + 939*n with respect to f.\nAnswer: -4*f*n - 130*i*n - 2009*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Let u(z) = z**3 - 6*z**2 - 7*z + 8. Let b be u(7). Suppose 0 = 3*c - b*c + 30. Solve -c = -2*w - g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1190\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14961, -30017, -45073, -60129?\nAnswer: -75185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**3\/3 - 12*a**2. Let y(x) be the third derivative of -x**4\/24 + 5*x**3\/6 + x**2. What is -5*s(n) - 2*y(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 0)*-6 - sqrt(125))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001 - -1010?\nAnswer: -100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (24 + -21)) + 0 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728988 and 149536?\nAnswer: 5831904","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 116163409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*g - 7*v + 1, -g - 3*v = -8. Let j = 2.16 + 0.74. Let h = -3 + j. Which is the closest to g? (a) h (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16490 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 1. Let y(t) = -2*t + 13. Determine a(d) - y(d).\nAnswer: 4*d - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/7))\/(h*h\/(h*h**7*h)))**27 assuming h is positive.\nAnswer: h**(1593\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1720 + 1748. Let q = -1702197\/206 - -8263. Find the common denominator of t and q.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308, 610, 926, 1262, 1624, 2018, 2450?\n\"Answer: k**3 + k**2 + 292*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/4 + 5*v**3\/3 + v**2\/2 + 7*v - 101. What is z(6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from dddfdffyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8400 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/90 and 77\/576?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i. Suppose 3*j - 58 = -4*u, 4*u = -5*j + 4*j + 38. Solve -j*t + 19 + 21 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/3)\/w**11*w\/(w**(-11)\/w)*w**10 assuming w is positive.\nAnswer: w**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -4\/5 (c) -262 (d) -1\/179 (e) 4\/7 (f) 0.324 (g) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/15*(-18)\/6*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgdzdzdgdddw. What is prob of sequence dg?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -3*x**4\/4 - x**2\/2 + x - 3. Let g(z) = 7*z**3 + 3*z - 2. Suppose -15 = -4*f + d + 3, 2*d = 3*f - 16. Give f*g(b) + 9*k(b).\nAnswer: b**3 + 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/3024 - z**7\/630 + z**5\/135 + z**2 + 3*z. Factor t(p).\nAnswer: -p**2*(p - 1)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + m + 0)*(-9*m + m - 5*m)*(2*m**3 + 4 - 3*m**3 - m**3).\nAnswer: 26*m**5 - 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r - 109. Suppose 0 = -5*n - 45 - 40. What is the tens digit of y(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-4)\/h*h*h**32)\/((h\/(h\/h**(-33)))\/(h*((h\/(h\/(h**(-3\/4)\/h)))\/h)\/h*h)))**(-19) assuming h is positive.\nAnswer: h**(-4655\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 81362 + -1\nAnswer: 81361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*t + 5 - 9, m = -3*t - 8. Suppose -4*v = 5*f - 36, 0*v = 3*f - 4*v + m. Solve -f*j = -g + 23, 0 = -2*j + 2*g + g - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17405059757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeefeiefffeeie. What is prob of picking 2 e and 2 i?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -3\/10, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6303256 is divided by 2100972.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 less than -0.2?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000253753891 to six decimal places.\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 5*q)*(0 - 1 + 5) - 6*q + 19*q + 7*q - 3*q - 2*q + 4*q.\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-6)\/10. Put 2, -2, 0.5, r in decreasing order.\nAnswer: 2, 0.5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 275 and 270 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 47, 133, 253, 419, 643, 937, 1313?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-99)\/(-6)))\/((-4)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.523329474 to 2 decimal places.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296469?\nAnswer: 3, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -58*r + 2. Let y(t) = 16*t + 249 - 15*t - 249. Calculate z(y(j)).\nAnswer: -58*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6127807.\nAnswer: 7, 53, 83, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.2. Let w = -36.6 - -41. Let r = w + -0.4. Which is the third smallest value? (a) k (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 367328 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + (0 + sqrt(243))**2 + sqrt(27) + 4.\nAnswer: 12*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**2 - 24*p + 40. Let t(n) = 61*n - 37*n - 9*n**2 - 56 + 12 + 5. Let z(w) = 4*t(w) + 3*u(w). Find m, given that z(m) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -0.1, 26, 3, -1.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -88\/3797?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 8. Let v(y) = -2*y + 4025. Calculate -4*s(n) + v(n).\nAnswer: 2*n + 3993","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 13*t**5\/30 - 13*t**2. Let k be f(-1). Suppose -6 = 4*y - k. Solve -y*o = -8 + 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 2 k when four letters picked without replacement from {p: 1, k: 9, m: 1, n: 3}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3590.5 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5511.8026 to the nearest ten.\nAnswer: -5510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(20*(-54)\/(-900))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -1\/5, 2\/187 in descending order.\nAnswer: 3, 2\/187, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Suppose 192 = x*z + 2*z. Suppose 2*s = -4*s - z. Is s equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o - 3*j - 1, 8 = 2*o - 3*j. Let f be 13\/3 + o\/(-3). Find the second derivative of f*a - 3*a - a**4 + 2*a - a**4 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.84 + -0.16. Let g = -9 - t. Let c = -12.9 + 13. Sort c, -4, g in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04317 - -175.48317. Let o = q - 172. Round o to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/((-324)\/(-333))*-4. Calculate the greatest common factor of q and 370.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-2))\/(565\/(-452)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (123 - -1) + -1 - (-72)\/(-72).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Solve b*i + 1 = -2*i + 5*u, 4*i + 2*u = -22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5142539?\nAnswer: 5142539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68841947.\nAnswer: 233, 295459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 235 - 235. Solve -4*g - 2*a = -6, r = -g + 3*g - a - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1839 (base 10) to base 12.\nAnswer: -1093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -750\/7. Do q and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -69. Let x be 6 + (-14)\/q*-8. Which is the second biggest value? (a) -0.01 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 1384, 4917, 11974, 23773, 41532, 66469, 99802?\nAnswer: 142749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.06 (b) -4\/45 (c) -1\/28 (d) -5 (e) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16706*j - 8053*j + 2757*j = 880080 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 536.\nAnswer: 167232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 7. Let x be p(4). Let n(a) = 3*a + a - x*a - 4*a. Calculate n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 3. What is the lowest common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 13 - -6 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/5 + 6786*r**2\/5 - 1025307*r - 31003722\/5 = 0?\nAnswer: -6, 873, 5919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4293941*j*s**2 + 3*j*s + 164891496*j wrt s.\nAnswer: 8587882*j*s + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3115, 35, 6, 17, -1 in decreasing order.\nAnswer: 35, 17, 6, -1, -3115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12301241 (base 5) to base 15\nAnswer: 2539b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 28*c**2 - 32*c + 62. What is r(29)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29.8 + -30.477. What is a rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 4 (b) -1\/2 (c) 0.07 (d) -4\/11 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x**2 + 7*x - 7. Let t(l) = -2 - 6 + l**2 + l + 7. Give -21*t(i) + 3*w(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s**3 + 20*s**2 - s + 30. Let q be z(8). What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225283, 225264, 225245, 225226, 225207?\nAnswer: 225188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266077706 divided by -1.\nAnswer: 266077706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63249847.\nAnswer: 63249847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + -1 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/6 + (21 - (-14 - -47)))*(-73 + 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 249*u. Let a(m) = m**2 + 18*m + 2. Let n(s) = 6*s**2 + 99*s + 11. Let t(q) = 11*a(q) - 2*n(q). Give h(t(j)).\nAnswer: -j**4 - 249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 634.6648kg?\nAnswer: 634664800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-266)\/63)\/1 + 1 + 3. Is 0 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 1292*t + 148680 = 0.\nAnswer: -90, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 365 + -211. What is the highest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*x - 67*x. Which is the biggest value? (a) x (b) -0.1 (c) 0.7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66b02 (base 12) to base 16\nAnswer: -214b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -36.94. What is the second biggest value in 0, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/7 + 62592*m**2\/7 + 375624*m\/7 = 0.\nAnswer: -6, 0, 31302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174, -354, -534, -714?\n\"Answer: -180*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 13\/2, -3, -2\/53, 1\/4, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 10521 = 10266 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 9226*h**2\/5 + 29600*h + 592512\/5.\nAnswer: -2*(h - 4629)*(h + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6538833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/64 and 37\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 6, -2 in increasing order.\nAnswer: -106, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6343*c + 5815*c - 5313 = 9999 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*w**5 + 745*w**4 + 2*w**3 + 92627*w**2.\nAnswer: 720*w**2 + 17880*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103597 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 + 0 = 4*x, 4*j + 25 = -x. Let p = 27 + j. Let w(k) = -42*k**3. Let c be w(-1). Calculate the highest common divisor of p and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 6*h - 402 + 483 - 2*h.\nAnswer: -3*h + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -37. What is the smallest common multiple of j and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1919 in -6\/7, -0.2, 0.4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 685381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u - 6. Let b be (36\/(-16) + 3)*-12. Let c be j(b). What is the highest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*s**2 + 2*l**2*s - 8*l**2 + 25*l*s**2 + 18*s wrt s.\nAnswer: 2*l**2 + 50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-12))\/(-3) + (-30)\/(-40). Let l be d - 192001\/2 - 30\/(-60). What is l rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (404\/(808\/8))\/(4\/73)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2825*a**5*j - 12*a**2*h**3*j**2 - 21*a*h**3*j**2 - a*h**2*j**2 + 2*a*h - 5*h**3*j - h**3 wrt a?\nAnswer: 56500*a**3*j - 24*h**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2371 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*t**3 + 45*t**3 - 69*t**3 - 6*t**4 + 3 + (-2*t - t**4 + 2*t)*(-2 + 2 - 1).\nAnswer: -5*t**4 + 5*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -472.267 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4541*g**3 - 5*g**2 + 11*g**2 - 6*g**2.\nAnswer: 4541*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9, -o + 0 = -2*r + 3. Let j be 0\/((-4 + 0)\/(-4)). Let g be (j + -2)\/((-9)\/18). Solve g*k + 3*f = r*k - 12, -3*f - 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 13*c**2 - 3*c - 20. Let g(m) = 3*m**3 - 29*m**2 + 5*m + 40. Let n(l) = 5*d(l) + 2*g(l). Determine n(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*q - 1585*i + 484*q**3 + 2 with respect to q.\nAnswer: 5*i + 1452*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 + 0*b**2 + 2*b**2)*(-1 + 3 - 4) + (-4*b + b + 2*b)*(-5*b + 3*b + 3*b) to m*b + g*b**2 + a and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 201022000 (base 4) to base 12\nAnswer: 66714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-14)*8\/(-6). Let f = -0.37 - 0.13. Put f, 1\/6, u in decreasing order.\nAnswer: 1\/6, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25\/7 (b) 147500 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3736872 by -17.\nAnswer: 219816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/18 - 16\/72. Let s be ((-14)\/r)\/(12\/18). Solve 4*d + s*t - 2*t - 41 = 0, -4*t + 32 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -626.5 and 2?\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531073871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813697 at least 4813709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-12) - (-146)\/6. Suppose 2*s - 14 = -j, 0 = -5*j - s + 48 - 14. Solve g + 1 = 0, 4*z - g = j - c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 36*n + 43*n - n**3 - 7*n.\nAnswer: -n**3 - 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245634035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3 - a2b2b9?\nAnswer: -a2b3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(11\/3)\/q*q)\/(q*q\/(q*q*q*q\/(q\/q**8*q*q))))**(-13))**(3\/25) assuming q is positive.\nAnswer: q**(-416\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -38.363.\nAnswer: -19.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4014101000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 391 - -a69?\nAnswer: 134a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*a - 7*h - 11, 3*h = -3. Suppose -a*x + 6*x - 8 = 0. Suppose -2*g + 120 = x*f, 6*f - 4*g = 3*f + 215. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-20)\/(-8)*(3 - -7) and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1014*k**3*s + k**3 - 5*k**2*s + 21509 wrt s?\nAnswer: 1014*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 16*p + 58. Let x be d(-9). Let i be (-2)\/8*0 + (-25)\/x. Solve t - 5*h = -10, 5*t + h = 23 + i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 59*z**4\/12 + z**3\/2 - 9*z**2\/2 - 5*z. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:44 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q - 9*q + 23*q + 3 - q - 3 + (-5*q + 2*q + q)*(0 + 3 - 4) + q - 3*q + 0*q.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q + 5. Let j(t) = 3*t + 1. Let b(s) = 9*j(s) - 2*m(s). Let u(x) = -7*x + 6. What is -5*b(h) - u(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 83*f - 39*f - 42*f. Give h(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-2) + (739 - 766)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.7 (b) 4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 2*w + 8. Let r be j(3). Let m be r\/24 + 29\/15. Find s, given that -2\/15*s**4 + 2\/15 - 4\/15*s**3 + m*s + 0*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14577 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -406*k**2 + 24*k + 7. Let m(n) = -202*n**2 + 13*n + 3. Let h(y) = 3*g(y) - 7*m(y). Find the second derivative of h(q) wrt q.\nAnswer: 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.35171969 - 5.\nAnswer: -7.35171969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -5 + -3 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1136 + -5?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118046081 - -118046845.999559. Let x = -765 + y. What is x rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5768.70297 less than -7.954?\nAnswer: -5776.65697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - ((-3)\/3 - -4). Suppose i*y = y + 120. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + p = -39, -p = b + 11 - 35. Calculate the remainder when 3\/((-12)\/(-295)) + 5\/20 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:22 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 16710*x**2.\nAnswer: 2*x**2*(x - 25065)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55115 * -5.\nAnswer: 275575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**3 - 3*h**2 + 5. Let c(i) = 2*i**2 + 1. Give 5*c(s) - d(s).\nAnswer: -9*s**3 + 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + 41.62. Let m = 44 - x. Which is greater: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67 + -23?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l. Suppose f + g + 1 = l, 0 = 4*f + 3*g - 4*g + 29. Which is greater: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-4\/3)\/j)*j)\/(j\/j**(2\/7)*j)*(j*j*j*j**(4\/3)\/j*j)\/j**(1\/4))**(6\/37) assuming j is positive.\nAnswer: j**(395\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y + 12. Factor 44*k**2 + 24*k**3 + y*k**4 - 3*k**4 + 16*k**3 - 7*k**4.\nAnswer: -4*k**2*(k - 11)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77932 is divided by 3896.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/12 + 7*s**3\/6 + 8*s**2. Let m be 12*(0 - 2\/4). Let x be (m\/7)\/((-2)\/(-14)). Give i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + p = 6, 0 = 2*i + 3*i + 3*p - 4. Let h be 0*i\/(-12)*-3. Factor h*m + 0*m**2 + 0 + 2\/5*m**3 + 2\/5*m**4.\nAnswer: 2*m**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4, -2*u - 2*d + 5 + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/45)\/(2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298.39 - -0.39. Let c = -298.000001177 - n. What is c rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2. Let g(u) = -64*u. What is g(c(i))?\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100903431 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -82. Let m be (1 - z\/(-2))*(15 + 37). Solve m = u - 5*i, -3*i = 4*u - i + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b4a (base 12) in base 8?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -571 > -569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40378844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10211555 (base 8) in base 10?\nAnswer: -2167661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/930 and -37\/82?\nAnswer: 38130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 10*g + 8*g + g**3 to the form j + n*g**3 + d*g + v*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*-1*sqrt(180) + 4*3*(2*sqrt(180))**2.\nAnswer: 6*sqrt(5) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-243 + -2)*(-4 - -1). Suppose 0 = -10*o + u - 275. Calculate the highest common divisor of o and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(((o\/o**(9\/2)*o)\/o)\/o))\/(((o*o*o**16\/o*o)\/o)\/o))\/(o\/o**(-9\/5))**(-20) assuming o is positive.\nAnswer: o**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -313266 (base 9) to base 5\nAnswer: -21423432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(1573) + -3 + sqrt(1573) - (sqrt(1573)*3 - sqrt(1573))*-3)*4)**2 + 4.\nAnswer: -16896*sqrt(13) + 1611334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*v + 15. Solve 3*m - v = -p, 2*m = -4*p + 18 + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 1 = w. Let l be -5 - w\/((-4)\/(-12)). Which is the closest to 0? (a) 2\/7 (b) -3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:52 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(1573) - (1 + (sqrt(1573) - (-4 + sqrt(1573))))) - (0 + 2 + sqrt(1573) + -2 + sqrt(1573) + 2 + sqrt(1573)))**2.\nAnswer: 352*sqrt(13) + 6356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdi when three letters picked without replacement from ppipddcidi?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 + 11*m**2 - 11. Let i be b(-1). Sort 6, i, 3 in increasing order.\nAnswer: 3, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 79.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1485)\/(-24) - (-4)\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 862 + 59)*(-8 - 4*b**4 - 10 + 3*b**4) to the form w*b**4 + a*b**3 + g*b + d*b**2 + r and give r.\nAnswer: 15120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 7:11 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/415154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -508, -763, -1254, -2059, -3256, -4923?\nAnswer: -7138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195604 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from mdwdmmomoomomdo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -12, p - 3*p + 3*n + 35 = 0. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 27. Suppose -4*j + 53 = 5*u, 5*u = 3*j + 4*u - 16. What is the remainder when v is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896498 a multiple of 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 104450 divided by -2?\nAnswer: -52225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106027658 is divided by 1178085.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12*s - 13*s = 387, -1167 = -3*r - 3*s. Let v = 20 + 114. Let n = r - v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45806629 - 9862221 = 8*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 817462062 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -53?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.249 + 0.259. Which is the fourth biggest value? (a) -4 (b) q (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + k**2 + 138*k**3 - 135*k**3 - 4*k - k**2 to the form f*k + c + u*k**2 + r*k**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1586\/9 - -176. Which is the nearest to 3? (a) i (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 1.96.\nAnswer: -2.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmssmimirriisriiii. Give prob of picking 2 i and 1 m.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18398899 is divided by 180381?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30858, -30860, -30866, -30876, -30890, -30908, -30930?\n\"Answer: -2*c**2 + 4*c - 30860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let v(i) = 10*i - 2*i + 3 - 3. Let n(q) = 10*d(q) + 2*v(q). Give n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6215393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 3*l - 2. Let t be c(-4). Let q be 27 + 2\/t*0. Let i be ((-23)\/69)\/(2\/(-108)). Calculate the highest common factor of i and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (23 + -20 + 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:54 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i + 9. Let a be r(-4). Suppose 0 = -2*h + a + 7. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 0.056023.\nAnswer: -6.056023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 + -6 + -8 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 60*p**3 + 14*p**2 + 8*p + 30. Let g(q) = 19*q**3 + 4*q**2 + 3*q + 11. Determine 3*c(v) - 8*g(v).\nAnswer: 28*v**3 + 10*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3799 + 3906. Calculate the remainder when 232 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from byenzll.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 times 129?\nAnswer: 606.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*o + 195 + 191 + 104 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*q**2 - 127*i**2*q + 98*i*q + 2*q**2 wrt i?\nAnswer: -4*q**2 - 254*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63121220 to the power of 1\/2, to the nearest integer?\nAnswer: 7945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -288.1. Let d = -0.2 - s. Let y = 14 + -29. Is y < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000013 (base 4) to base 15\nAnswer: -4ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -556543 (c) 1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97? (a) 0.063 (b) -0.2 (c) 1 (d) -24 (e) 2\/11 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 668*w + 55778.\nAnswer: 2*(w + 167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ea + 0?\nAnswer: -6ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*-3776857.\nAnswer: -181289136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(41\/5))\/(d\/d**43)*(d**(-29))**(-9\/8))**(1\/28) assuming d is positive.\nAnswer: d**(479\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkfj when four letters picked without replacement from kgssguskgskfjkgkg?\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from bbail?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.45 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6 = -g, 0 = 17*l + 3*g - 3 - 37 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9638 + 0.0362. Which is the smallest value? (a) -2 (b) y (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4747 is divided by 1516.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let a be -2 - (h + -1)\/1. Suppose 5*j + 3*v - 36 = -a*v, 2*v = -3*j + 22. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/448 and 67\/36.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 6 - 1)*(-1)\/(-2). Let d be -2 + 2 + (-796)\/(-2880). Let q = d - 4\/45. Is q less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582088327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 94856.5ug in nanograms?\nAnswer: 94856500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439.2 + -435.2. Which is smaller: -6\/11 or f?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*p - 4*f = 447*p + 12, 0 = -5*f - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 7*g + 19. Let p = 1060 + -1051. What is n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:39 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(140) - (1*sqrt(140) + sqrt(140)))\/sqrt(10))\/(sqrt(200) - (sqrt(200) + (sqrt(200) - sqrt(200)*-1))))**2.\nAnswer: -793\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + r = -3158, -3*l = 5*r - 7*r - 2366. Let s = l + -454. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615855 and 1225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1183 and -2.1.\nAnswer: -1185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -28. Suppose n = 6*n - s. What is the third derivative of 39*d**5 - 13*d**n - 39*d**5 - 16*d**6 wrt d?\nAnswer: -1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 20*v**2 - 13*v + 6. Is g(19) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:40 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1851)\/(-4936)*(30\/(-63))\/5.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/55 + 528\/(-55) + (-2)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -73*b**2 + 56*b - 144. Let l(p) = 1. Let s(v) = -f(v) - 5*l(v). What is the derivative of s(w) wrt w?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6356*v + 24779*v + 556*v.\nAnswer: 31691*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 0.34 (c) -1\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 2*g**2 - 5. Let k(l) be the third derivative of -l**6\/40 - l**5\/30 + l**3 + 896*l**2. Let b(w) = w**2. Let z be b(2). Give z*f(x) + 3*k(x).\nAnswer: -x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/329 + 1657\/1974. Let b(o) be the first derivative of -6 + 7\/4*o**2 - o - n*o**3. Let b(z) = 0. Calculate z.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 997*b - 15 - 2*b**2 - 823*b + 15 to the form v*b + u + f*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j**2 - 3*j + 3. Let v = -27 + 29. Calculate the remainder when 6\/(10\/(-16) + 1) is divided by u(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaja. What is prob of sequence ja?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23717 or -142307\/6?\nAnswer: -142307\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:12 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 401555014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1388 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4858\/(-42))\/(1\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3133 - 5?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 165 + 155. Let y = -10 - v. Calculate the lowest common multiple of y and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1*1)\/(-439 - (-1903505)\/4345).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let m(k) = -1. Let j(z) = z - 1. Let x(u) = -4*j(u) + 4*m(u). Determine x(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olldddddddod. Give prob of picking 3 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2\/7, 897, 2\/9, -0.13, 5 in ascending order.\nAnswer: -0.13, 1\/8, 2\/9, 2\/7, 5, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/(k*k\/(k**7*k)))\/k)*k**(2\/13)*k*k*k**(-8)*k**(-1\/2))**(-50) assuming k is positive.\nAnswer: k**(8025\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 25 = 15*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 8?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121361?\nAnswer: 157, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 120\/32*76\/57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and 704.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -117.03. Put 4, -2\/13, 0.1, j in decreasing order.\nAnswer: 4, 0.1, j, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (395 - 358) + 3 + 2 + (2 - 3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + 5.97. Let l = 3 - o. Which is the nearest to 0.1? (a) 2 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)\/(g\/((g*g**(-8)*g*g)\/g*g))*(g**(-2))**(2\/143))**(-22))**(5\/12) assuming g is positive.\nAnswer: g**(7180\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1215 - -0.1215. What is the second biggest value in -19, x, 2\/9, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173352 divided by 2796?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 24\/(-10))*81\/(-54). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**2 - 96*v + 75. Calculate k(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 53766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -9. Suppose 3*g + 45 = 5*r, -14 - 20 = -2*r - 2*g. Suppose -h + x = -r. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 4. Let q be n(-2). Let v(r) = -r + 2. Give v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 18.8327?\nAnswer: 9.41635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 17955 = -3*m. Is 57 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4656 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10911 + -10910.8. Is g != -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 77574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697110, -1394219, -2091330, -2788443, -3485558, -4182675, -4879794?\nAnswer: -5576915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**4*l)\/l*l*l**13*(l**(1\/3)\/l)\/(l*l*l\/(l*l*l**3)*l*l) assuming l is positive.\nAnswer: l**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u - 2. Calculate the remainder when 37 is divided by x(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r - 13. Let k be y(8). Let d = 0 - k. Solve -2 = 3*p - d*b, -p + 0 = 2*b - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 93 = 21*b. Let g = b + 97. Suppose -g*s - 5*j = s - 770, -s + 148 = -j. What are the prime factors of s?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148212 is divided by 143698?\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -16*r**2 - 23*r**2 - 8*r**2 + 57*r**2 - 8*r**2 + 32*r + 8. What is u(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.97972 * -1.5\nAnswer: 2.96958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330 divided by 14.\nAnswer: -165\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 2. Let z be d(0). Suppose -60 = -4*j + 3*f, 14 + z = j - f. Let o(m) = m**2 - m - 12 + m**2 + j. What is o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*b**4 - 36*b**4 - 9 + 12)*(2*b + 4 - 4).\nAnswer: 84*b**5 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/19)*u**(-3\/8))\/(u**(5\/3)\/(u*u*u**(-16)*u)))**21 assuming u is positive.\nAnswer: u**(-48181\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1.192225.\nAnswer: -2.38445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u + 36*u + 16860 - 5751 = -27*u for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3068*u**2 + 8*u - 5. Let i be x(-7). Let l = -7820783\/52 - i. Let o = l - -64\/13. What is the common denominator of o and -59\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 130, 6, 0.04371?\nAnswer: 0.04371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132\/389381 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 - 5.1. Let j = 67.88 - 69. Let l = j + 0.12. Which is the closest to l? (a) i (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k**2 - 43*k. Let x(u) be the first derivative of u**3 + 5339. What is o(x(w))?\nAnswer: -207*w**4 - 129*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -15*y + 549, -80*d + 42*d - 4*y + 152 = -36*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23101 + -203?\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9316, -2, 8?\nAnswer: -9316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39619 by -1.\nAnswer: -39619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -6, -6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -599725 divided by -5215\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1444 + 2644 = 63*h + 83*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4080 + 4080 + 0*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**2 - j - 2*j - 7*j**2 + 2*j to s*j + v + z*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -141*k**4 + 2*k**3 - 2*k**2 - 18. Let z(y) = 706*y**4 - 11*y**3 + 13*y**2 + 88. Let b(l) = 11*c(l) + 2*z(l). Find the third derivative of b(s) wrt s.\nAnswer: -3336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 23*m + 10. Is r(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v + 3. Suppose 3*m + 12 = 0, -2*t - 2*m + 14 = -3*m. Suppose 4*z - 37 = -t*p, 2*z + 4*p + 7 = 33. Calculate x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazaaza. Give prob of picking 1 z and 2 a.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24880459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-48) - (-6)\/4. Let m(b) = 5*b - 7 + 0*b**l + b**2 + 12. Let x(g) = -g**2 + 7*g - 4. Let t be x(7). What is m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3900\/111150)\/(((-112)\/(-3))\/7).\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*(-97)\/(-388). Let v(g) be the second derivative of z*g**2 + 1\/9*g**3 - g - 1\/18*g**4 + 0. Factor v(x).\nAnswer: -2*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24917.78 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2098 divide 461999031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.014.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103184 in -13, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -b + 4*q + 74, -8 = -4*b - 2*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 221*l + 28.\nAnswer: 221*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + -3 - sqrt(2)) + 5 + -2*sqrt(2) - (4 + 6*(sqrt(36)\/sqrt(2))**2).\nAnswer: -110 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046.34679766 - 40?\nAnswer: 2006.34679766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 8532132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let u(v) be the third derivative of -11\/20*v**5 + 0 + 0*v**4 + 0*v**3 + 33*v**2 + 0*v. What is u(t(p))?\nAnswer: -33*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.62 - 0.12. Let r = -0.5 + y. What is the nearest to 0.1 in 0.3, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10*k**3\/11 - 141886*k**2\/11 + 29987344*k\/11 + 12017640\/11 = 0.\nAnswer: -2\/5, 215, 13974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 370 = 29. Suppose -2*j - w = -335. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 39*t**2 - 162*t - 18. What is o(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:06 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859437.\nAnswer: 3, 73, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8428*t - 25. Let m = -34 - -23. Let s be n(m). Let l = 144733 + s. Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 194, 427, 674, 941, 1234, 1559, 1922, 2329?\n\"Answer: x**3 + x**2 + 223*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2868969334 or 2868969335?\nAnswer: 2868969334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -5918, 5.\nAnswer: -5918, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2)\/((6 + -9)\/6*8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*i = 268*i + 205045. What are the prime factors of i?\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y**3. Let i(k) = k**3 - 6*k**3 + 4*k**3. Give f(a) - 3*i(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 12) + (3 - (1 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32447 divided by 4?\nAnswer: 32447\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -93*u**2. Let y be 6\/(-27) - 120\/(-54). Let z(c) = -y*c - 49*c**2 + 47*c**2 + 2*c. Determine v(z(r)).\nAnswer: -372*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, e: 1, f: 2, d: 3, b: 2}. What is prob of picking 2 e and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 - 23 + 3*y**4 + (-17988 + 17988 - 132*y)*(-y**3 + 0*y**3 + 2*y**3).\nAnswer: -129*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31680?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + s**2 - s**2 + (-s - 1 + 1)*(s - s - 4*s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)**3)**(-4\/3)\/(r*r**(2\/15)*r*(r*(r*r*r\/(r*r**2))\/r)\/r*r*r*(r\/r**5)\/r*r*r*r*r\/(r\/(r\/r**(2\/3)))) assuming r is positive.\nAnswer: r**(-202\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8*n + 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-17))\/(-1*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from iiaiaaooiiai.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1062 by -354.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2085216277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 360*u**4 - 6 + 3 - 5 + 148*u**4 + 7 - u to the form g*u**4 + p*u + s*u**2 + b + x*u**3 and give g.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -586 + 576. Let g(b) = b - 9 + 29 + 0*b. Let o be g(c). What is the highest common factor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + a + 2*a)*(-1 + 0 + 3) + (-28 - 246 - 274)*(-4*a + 2*a + 3*a) to the form w*a + k and give w.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n. Suppose n = 2*c + 2*c - 4. Which is greater: c or -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 + 8*j + 7. Let z be l(-6). Let d = z + 25. 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 = 0.143295 - -27.231729. Let t = y + -27.265. Let s = 0.11 - t. Round s to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/12)\/((-2)\/(-12)). Solve -j + t*g - 7 = 0, 3*j - j - 18 = -2*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 1002*i + 3. Let h be f(0). Let z = 17 + -13. Factor 0 - 1\/2*w**2 + 1\/3*w + 0*w**h + 1\/6*w**z.\nAnswer: w*(w - 1)**2*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.41 and 7.\nAnswer: 5.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 592091, 591629, 591167, 590705?\n\"Answer: -462*d + 592553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 185*x**2 - 3*x - 1. Let c be s(-2). Let u be 2\/(-5) + 6*51\/90. Suppose 2*g - c = -u*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.3895 litres to millilitres.\nAnswer: 870389.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/7))**(-1) assuming l is positive.\nAnswer: l**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/291848 and 101\/4.\nAnswer: 291848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 + 7)\/((-43)\/175612)?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {u: 1, t: 1, r: 3, m: 5, d: 1, s: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 3*f**4\/2 + 2*f**3\/3 + f**2\/2 + 4*f - 13. Let b be q(3). Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 2*t**2 - t - 1. Let d be ((-32)\/(-30))\/8 + (-96)\/45. Give o(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10) - 56\/(-10) - (-198 - -176). Solve -4*y - 3*t = -1, 2*y - 127*t = -123*t + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 - 2*z**2)*(1753*z**2 + 415*z**2 + 1120*z**2 + 376*z**2).\nAnswer: -14656*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-28)*(4\/134 + 6 + -6). Let m(h) = -h**3 + h. Let l be m(0). Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-1*-3*(sqrt(637) + 0) + -2 + (-1*sqrt(130)*-5 - sqrt(130))\/sqrt(10))**2.\nAnswer: -1500*sqrt(13) + 121935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5\/7, 0.4, 5, -26 in descending order.\nAnswer: 5, 0.4, 0.1, -5\/7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/4 - 24345\/1623.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-1152)\/(-9)))\/(((-45)\/(-12))\/5).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -a - 9, 0 = -2*k + 3*a - 0*a + 5. Let o be (-3)\/((-3)\/(-6)*k). Suppose -2*j = -o*j - 56000. What is j rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5949200 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 36 = 6*o. Suppose 0 = o*a - 4*a + 28. Is ((-719)\/(-2))\/((a\/4)\/(-7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 0.4, -310, 2 in increasing order.\nAnswer: -310, -0.1, 0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -17. Let n(x) = -x**2 + 14*x - 7. Let t be n(14). Are w and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.72 + 2.23. Round j to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 101 + -60 + (-2 - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30663.\nAnswer: 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 780 = -4*o. Does 6 divide (-4)\/30 + (-5876)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*o*s**2*w + 2*o*s**2 - o*w + 266*s**2*w + s**2 + 3*w + 3 wrt o?\nAnswer: -10*s**2*w + 2*s**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 4*i - 4*i)*((-1 + 1 + i)*(0 - 1 + 2) + 1630*i - 3172*i + 1857*i) in the form b*i + m*i**3 + f*i**2 + o*i**4 + h and give o.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/(2\/(-10)). Let s(i) = -i**2 + 6*i - 5. Let v be s(3). Let x = v - a. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12931*x - 3*d = 12927*x + 27, 0 = x - d - 7 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*20\/125?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13 = 2. Suppose -o - 1 = -4. Suppose -o = -p + 1. Solve -x*a + 9 = -0*h + h, -10 = a - p*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/6 + 485*a**3\/3 + 966*a**2 + 434*a. Solve k(b) = 0 for b.\nAnswer: -483, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61612483*p + 30806240*p + 30806234*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 m when three letters picked without replacement from {h: 2, z: 2, g: 3, b: 4, p: 1, m: 6}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 2*z**2 + 0*z**2 + (2078 - 2078 - 33*z)*(-3 + 3 + 3*z).\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 738*f - 229. Is 91 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83820 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 76\/3*s**3 - 2*s**2 - 6 - 5\/12*s**4 + 0*s. What is the first derivative of c(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1455, -3308, -8325, -18084, -34163, -58140, -91593?\nAnswer: -136100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, -2\/15, -1\/2 in decreasing order.\nAnswer: 2\/5, -2\/15, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let q be r(0). Suppose -2*i + 6 = -7*c + 3*c, 4*i + 2*c - 2 = q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/114861564 and 97\/1134?\nAnswer: 804030948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -7. Let d = -48305115765\/904 + 53434872. Let f = -6\/113 + d. Find the common denominator of x and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -11, -26, -57, -110?\n\"Answer: -s**3 + s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 3\/25*s**5 + 0*s**2 + 1\/105*s**7 - 8\/15*s**3 - s + 1\/15*s**6 + 0 - 2\/15*s**4. Find j such that b(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 235, 252, 259, 250, 219, 160?\n\"Answer: -z**3 + z**2 + 21*z + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.078 + -32.078. Sort 0.005, p, 45.\nAnswer: 0.005, p, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -60*n**4 - 399*n**3 + 720*n**2 + 588*n + 96 = 0.\nAnswer: -8, -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: be (base 16) to base 14\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 4*u - u)*(24*u - u + 12*u) - u - 3*u**2 + u as i + o*u**2 + j*u and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 1. Suppose -5*g + 37 = -4*p, s = 5*g - 3*p + 2*p. Calculate the remainder when 24 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/(1998\/(-555)). What is the smallest value in 10\/39, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -30. Let l = 0.2 - 0.1. What is the closest to l in y, -2\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1518, 3033, 4548, 6063, 7578, 9093?\n\"Answer: 1515*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*c + 2*y + 107, 5*c = 5*y + 170. What is the smallest common multiple of c and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10075 = 5*l - 3*r, 2*l + 3*l = r + 10075. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*((-1 + 0 + sqrt(242) - ((sqrt(242) + -2)*4 + sqrt(242))) + 5)*3*4)**2.\nAnswer: -7603200*sqrt(2) + 28915200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2372 - 2458 - 307 - 2481)*(-v + 4*v - 4*v).\nAnswer: 7618*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 + 24*n - 107. Let j be q(18). Does 2 divide (j + 1)\/(18\/(-45)) - -29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (2*sqrt(136) - sqrt(136))*-3) + sqrt(136) + sqrt(136))*3)\/(sqrt(16)\/(sqrt(8)\/sqrt(4))*-1).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -135?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 16. Let p(u) = -5*u - 11. Let y(d) = -2*d - 4. Let j(q) = b*p(q) - 11*y(q). Let c(o) = -o**2 + 3 - 3. Calculate j(c(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:29 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + x + 25, 20*x = 19*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -119 + -46.571582213\nAnswer: -165.571582213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2101982 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 7 + 9 - 26 - -8 - -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1043478*a**2 - 3770029 wrt a.\nAnswer: -2086956*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30140685 - 12445*q - 30140685 to the form d*q + s and give d.\nAnswer: -12445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -568864 greater than -568864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 2 + 3*q - q**2 - 3*q. Determine l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -81667*l + 2. Let u be m(6). Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*x = -366*x + 4608 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 6 = 2*q. Let x = 28 - 46. Let j = 23 + x. Calculate the remainder when q is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, x: 1, p: 6, e: 6, q: 1}. What is prob of sequence pxy?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5455 + 63?\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-40))\/(1 + -4). Which is the second smallest value? (a) -9 (b) 2 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8492204 to the nearest integer?\nAnswer: 2914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43226, 43229, 43234, 43241?\n\"Answer: q**2 + 43225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10*x - 5 + 4 + 6.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 75, 292, 721, 1434, 2503?\nAnswer: 4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507f (base 16) in base 12?\nAnswer: 41a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b. Solve 2*x + 2 = -b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19295 (base 13) to base 2\nAnswer: 1011111010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3373640 and 3373640 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(1\/7)))\/y)\/(y\/(y**(-2\/17)*y)*y)*y*y*y**(-2\/5)*y**7\/y*y assuming y is positive.\nAnswer: y**(3772\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/192 + 23\/(-8). Suppose 3*o = 3*t + 24, 0 = -2*o - o - 5*t. Sort o, -2, l.\nAnswer: l, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 4)\/((-6)\/(-15)). Suppose 3*s - 137 = -5*g + 1251, 5*g = -a*s + 2300. Let d = -3186\/7 + s. Is -1\/4 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 102 - 6. Calculate the greatest common divisor of h and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/4 - -8. Let l be 3\/((-32)\/(2688\/(-63))). What is the closest to 2 in l, k, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from cgccccccggcgggcgcgcg.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/10 + 7*k**4\/12 + k**3\/3 - 3*k**2\/2 + 13*k. Let f be a(-3). Solve f*r + 5 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Let n be (-2)\/1 - (1 - 0). Let u be 6\/(-4)*2\/n. Which is the closest to -1? (a) 2\/3 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108*21*(-11)\/1386.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8701 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 535737.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.278 - -598.278. Let p = i - 548.4. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 0.4 (c) -0.4 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 28*n**2 - 12 - 15 - 34*n**2.\nAnswer: -62*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1068, 6509, 15594, 28323, 44696?\n\"Answer: 1822*b**2 - 25*b - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/69, 0.4, -13 in decreasing order.\nAnswer: 0.5, 0.4, -2\/69, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3246425?\nAnswer: 5, 7, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-30))\/((-12)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1072, -4, 11, 2 in descending order.\nAnswer: 1072, 11, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606623*x**4 - 261004*x.\nAnswer: -7279476*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*r**4 + 22*r**3 + 4*r**4 - 24*r**3 + 10*r**2 to v*r**2 + h + y*r + x*r**3 + s*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 1. Let l be 2344\/(-30) - (198\/(-135))\/11. Let j = -84 - l. Let a(r) = r. Determine j*a(o) - v(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.4755kg to grams.\nAnswer: 870475.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01583 and 1.\nAnswer: -0.01583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-6.9\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*p**4 + 5*p**4 - p**4 + (4 + 1 + 1)*(-p + p + 2*p)*(-p**3 + 2*p**3 + 0*p**3).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.4 (b) -29\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4204868*k**3 - 2102647*k**3 - 1 - 2104603*k**3 + 1.\nAnswer: -2382*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-4 + 6). Let j be (1*x)\/((-132)\/(-176)). Sort 1\/9, j, -3.\nAnswer: -3, 1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 4 (c) 25 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Suppose -2*n = k + n + 7, 0 = -4*k - 2*n + o. Solve -k*x = 3*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - i**3 - 4*i**3 + 142*i - 144*i as q*i + h*i**3 + m + x*i**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -73 + 16 + -26 - -3.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 295956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187204, -187202, -187200, -187198, -187196?\nAnswer: -187194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 8. Suppose -5*m + y - 2 = 0. List the prime factors of (m\/(-2))\/((-2)\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 4 - -9) + (-480)\/40. Let k = 12 + -19. Let x = -4 - k. Sort w, -1\/4, x.\nAnswer: w, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(228)*-1)\/(-5*sqrt(36)\/sqrt(3)))**2.\nAnswer: -114\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y = 100. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0454523341 to five decimal places.\nAnswer: 0.04545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let k(f) = -1081012065*f**2. Calculate k(c(o)).\nAnswer: -1081012065*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s + 55. Solve -12 = l - 4*x, -5*l + 2*x - 13 = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84\/397 + -536095\/1191. Let w = l - -2809\/6. Find the common denominator of w and 29\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -84*y + 87*y + 7, 3*c = 3*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/70 + -13)*-2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149936 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 473381.7 to the nearest 100.\nAnswer: 473400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**3 + 4*p**2 + 1453*p + 5811. Determine g(-4).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.9 + 5. Let c = 0.4 - a. Put -2\/5, c, 1\/2 in decreasing order.\nAnswer: 1\/2, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192520 - 29*c - 106*c - 385047 + 192527.\nAnswer: -135*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21358 - 8658. Round h to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4*j + 5*j**3 + 2*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 - (0 + 12 + (6 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 6*r - 5*r + 0*r + 0*r + 2*r + 0*r - 3*r + 2*r - r - 2 + 2 + (2*r - r - 3*r)*(1 - 1 + 2) - 4*r + 5*r - 2*r)*(r**2 - 2*r**2 - r**2).\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 176\/10 + (-2)\/(-5). Suppose 118 = 5*p - p + 2*j, -115 = -5*p + 4*j. Let v = p - s. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4205209010 and 3.\nAnswer: -4205209007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/6)\/((-1)\/8). Let y = 1 + -1.4. Suppose -5*p = -3*u + 11, 5*u + 5 = -2*p - 18. Sort n, u, y.\nAnswer: u, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 1618434300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2109 - 2104. Solve 7 = -4*w + 5*b, 7 = -w + t*b - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4678 - 4681. What is the smallest value in 0, 32\/15, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -28a85?\nAnswer: -28a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3935, -6104, -9711, -14750, -21215?\n\"Answer: k**3 - 725*k**2 - k - 3210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, t: 1, l: 6}. What is prob of picking 2 l?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 4\/13*v**3 + 0 - 2\/13*v**4 - 2\/13*v**2.\nAnswer: -2*v**2*(v - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4320004 (base 10) to base 4.\nAnswer: 100132230010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34193, 68386, 102579?\n\"Answer: 34193*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (5 - (10 + 0 + -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from crcmuvcvcu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + x**2 - 10 + 5*x**2. Let a(w) = -3*w**2 + 9. Let u(h) = -3*a(h) - 2*i(h). What is the first derivative of u(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 6, d: 4, h: 2}. Give prob of picking 2 a and 2 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 316, -2.\nAnswer: -2, -3\/4, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/35 + 16\/(-112)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0 - ((24 - 48) + 32) - -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhm when three letters picked without replacement from {t: 3, w: 4, m: 2, l: 1, h: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 148. Let g = k - -61. Let n = g - 93. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:46 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**6*(l**(-3\/7)*l*l)\/((l\/l**0)\/l*l))\/((((l\/l**(-3\/2)*l)\/l)\/l**(1\/2))\/((l**1*l)\/(l\/(l**3*l)))) assuming l is positive.\nAnswer: l**(209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -861*o**2 - 46*o. Let x(w) = 277*w**2. Determine p(x(v)).\nAnswer: -66063669*v**4 - 12742*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5454 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = 5. Let m be -2 + (13 - 3) - y. Let p be 725\/(-1 - m\/(-8)). Round p to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431050*f**2*i + 15*f**2 - f*i - 1133278*f + i - 3 wrt f.\nAnswer: 862100*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1155)\/(-352) - (-22)\/(176\/(-24)). Which is the fifth biggest value? (a) -3\/5 (b) 4 (c) z (d) 2\/9 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-8)\/(-276)). Let i = a + 26. Let o(c) = -8*c + i*c**2 + 18*c - 10*c. Let u(r) = -2*r. Calculate u(o(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, -1.94 in descending order.\nAnswer: 2, 1\/3, -1.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 661236\/7 + -94267. Let p = -195 + l. Let v be 40\/(-56) - (-4)\/14 - -1. Sort -2, p, v in increasing order.\nAnswer: -2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(45)\/(((2*sqrt(81) + sqrt(81) - sqrt(81)) + sqrt(81))\/sqrt(9)) + sqrt(10)\/(sqrt(8)\/sqrt(36) - sqrt(2))) + 1)**2*3.\nAnswer: -42*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 440*l**3 - 785*l**2 - 6630*l + 15480.\nAnswer: -5*(l - 86)*(l - 3)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 2*t. Calculate h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 1. Let u = 7 + -8. Let m(v) = 2*v + 3 + 0 + 4*v**4 - v**4. Let q(s) = u*m(s) - 2*w(s). What is the first derivative of q(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24. Suppose d = -0*x + 5*x + z - 696, 5*z = -2*x + 260. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1\/3, 50, 1\/2, 0.\nAnswer: -5, -2, -1\/3, 0, 1\/2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636.89398 milliseconds in weeks?\nAnswer: 0.00000435994375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (0 - -1) - (14 - 18). Let l(a) = 9*a. Let h(r) = 4*r. Let m(q) = c*h(q) - 3*l(q). Let s(z) = -71*z**2. Give s(m(u)).\nAnswer: -71*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 2*w**2 + 3. Let n be f(0). Suppose 0 = 3*s - n*c + 15, 1 = 2*s - 5*c + 23. Let h = 2.25 + -0.25. Put h, 27, s in decreasing order.\nAnswer: 27, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 699. Suppose 5*i + 3808 = t*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18895 (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4105.81km?\nAnswer: 4105810000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1727 - 1731.713. What is i rounded to 1 dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11455*1951.\nAnswer: 22348705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17\/4, 38, 1\/4, -5\/4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.83164 and -1721.\nAnswer: -1718.16836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*h - 137 + 98, -4*h = -q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30433 (base 5) to base 7.\nAnswer: 5545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353775?\nAnswer: 3, 5, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1777*u - 5116*u - 3631*u to n*u + v and give n.\nAnswer: -6970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33\/4, 2, 1\/17 in ascending order.\nAnswer: -33\/4, 1\/17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1847.8551 + 1848. Let i = c + -1.7309. Let m = -1.6 - i. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3 - -2) - -7. Let h be 0\/(2\/(1\/(-1))). Let q be (h + (-18)\/8)*-28. What is the greatest common factor of q and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1362489349*z**4 + 140490796*z + 2 wrt z?\nAnswer: -16349872188*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*h + 2*h - 14, 0 = t + 2*h + 18. Let b be ((-16)\/(-12))\/(t\/(-15)). Suppose -389 = -b*d + 2*n - 139, -3*d + 359 = 5*n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -155088.0152 to the nearest one hundred.\nAnswer: -155100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2) + sqrt(8)*6 - -1*sqrt(242))**2)*1.\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31943 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 251 = -0*r - 7*a, -16*r + 5*a = -20*r - 71 - 80 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2 + t - 3 + 16. Let g be k(-8). Suppose -2*f + u = 3, g*u = -0*f + 3*f + 6. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 3 = 0. What is the second derivative of 7*a**4 - a + 3*a**3 - 3*a - g*a**3 wrt a?\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q. Suppose -v = 3*i - 1, q = -4*v + i - 6*i + 39. Suppose 15*c - 16*c = -44. Calculate the lowest common multiple of c and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 12*d**2 + 24*d - 29. Let b be c(-9). What is the closest to -0.13 in -0.02, 2, b?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24081 - 15052. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-541*b**2 + 1 + 0 + 563*b**2)*(b + 2*b - 2*b) to v*b**3 + o + l*b + h*b**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 - 347 = -7*p. Let x be (-8)\/(-14) - 68\/p. Suppose 0 = -g - o - 2, 5*g - 6*o = -o. Put 5, x, -8, g in descending order.\nAnswer: 5, x, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -655, -2254, -5379, -10540?\nAnswer: -18247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20143 + 34718. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81038821?\nAnswer: 23, 3523427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 121 = 75. Let w be 6\/9 - x\/6. Which is the nearest to -0.1? (a) w (b) -136 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 66*i - 125. Let u(c) = -2*c - 1. Let d(m) = -r(m) + u(m). Solve d(p) = 0 for p.\nAnswer: -62, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174085\/7 - -24929. Let u = -60 + y. Let m = 14\/9 + -8\/9. Is u not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -180 - -181 - (1 - -16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 1. Let x be h(-3). Let c = 2 + x. Let k be c*3\/((-3)\/1). Solve v + 1 = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 7*w**2 - 9*w - 2. Let c be g(-1). Solve 2*b + c + 1 = 0, -2*q + 4*b = 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*f - 2. Let h be f\/24 + -1 + 1. Let q = 103\/5 - 21. Sort q, -4, h.\nAnswer: -4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121482287.\nAnswer: 1277, 95131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 158580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 19166*w**2 + 15991170*w - 3202963362.\nAnswer: -2*(w - 393)**2*(w + 10369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 56 = -17*h. Solve -5*r + 7 = -s - 3, -2*r + 3*s = -h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4 - 39 = 0. Let y(p) = -p**3 - 7*p**2 + 6. Let x be y(c). Suppose -3*q + x = -0*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32886 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*i + 4698 = 73*i. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 46\/(-5))*-5. What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 166472, 332946, 499420, 665894, 832368?\n\"Answer: 166474*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 9*s + 7. Determine o(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 4*k - 8*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 w when three letters picked without replacement from {e: 2, w: 1, c: 2, b: 4, f: 1, q: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, o: 1, t: 1, a: 1}. What is prob of picking 1 g, 1 o, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 32 = 4*w + 16, 5*g = 3*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:47 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 + 4. Let r be v(0). Let o = r - 0. Let u be 48\/o*6\/2. Solve u = 4*i - 4*b, -8*i + 5*b + 40 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -70. Suppose 2*g = -r*g + 78133. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231 and 67408?\nAnswer: 1415568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150992.\nAnswer: 2, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*o**6 - 87*o**2 + 173*o**2 - 109*o**2 wrt o.\nAnswer: 2280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-six fifths of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**5 + 6*c**5 + 0*c**5 + 3*c + (c**4 - c**4 - c**4)*(-c - 7*c - 3*c).\nAnswer: 10*c**5 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1854\/25 - -98983\/1300. Let n = -135227\/36 - -3757. Find the common denominator of n and d.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 1044, 2343, 4156, 6483, 9324, 12679?\nAnswer: 16548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 10. Suppose -9*j + 21 = -u. What is the second derivative of -3*d**5 + 16*d - 9*d**5 + 3*d**j - 15*d**5 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 19*q**3 - 90348*q**2 - q + 6 + 90349*q**2 to the form b*q**2 + o*q**3 + r*q + z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 26 = -4*k, 87 = 3*z - k + 71 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/2))**(10\/19))**(3\/4))**(2\/5) assuming k is positive.\nAnswer: k**(-9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4 - 4)*(0 + 0 - 2*q)*(-2 - 1 + 1).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7350 by 205.\nAnswer: 1470\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 13}. Give prob of picking 1 z and 1 n.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 905148659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 559 - 389 + 378 + 544*d - 4*d**2 = 0.\nAnswer: -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:12 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 11*a + 4. Let x(u) = -u**3 + 20*u**2 - 19*u - 5. Let d be x(19). Put a, 0, 5, d in decreasing order.\nAnswer: 5, a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -18 + -2 + 7 + (16 - 6) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 - 7*c - 3. Let l(r) = 4*r**3 - 6*r - 2. Calculate -7*l(g) + 6*q(g).\nAnswer: 2*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 38 = 2*s + 14, -s - 62 = -5*h - 42 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from lllllllzyzlllzll.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-6)\/2))\/(2\/(-3)). Let q = 3 - 7. Which is the nearest to -1\/2? (a) z (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-632)\/48)\/(2\/(-1)). Let p = w - 19\/3. Let j = -3 - -2. What is the second smallest value in j, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 4*b**2 + 4*b**2 - b**3 + b**3 - 5*b**5 - 4*b**5 + b**5 + b**5 + (-2 + 2 + 1)*(2*b**5 - 3*b**5 + 0*b**5).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8908.523642 rounded to the nearest one hundred?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69509 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -5*u - 1312. Let g = u - 59. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u + 515. Calculate c(36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 505*a + 283*a + 1223 + 202*a + 145*a wrt a.\nAnswer: 1135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 + -0.09. Let r = -8 - n. Let c = r - -6. Is c >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2312.4316 to the nearest integer.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.297 - 0.137. Let a = d + -0.16. What is the nearest to 2\/5 in a, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -9\/2 - 1\/4*p**2 + 9\/4*p = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/3*f**2 - 16*f - 6*f**3 + 8\/3.\nAnswer: -2*(f - 2)*(f - 1)*(9*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 3*f**2 + f - 2. Let n be g(-2). Let k be ((-15)\/(-10))\/(6\/n). Let j = -1.9 + 2.2. Which is the smallest value? (a) -0.03 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/40 + 11*w**4\/4 + 363*w**3\/4 - w + 24. Determine j so that b(j) = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = z, -5*g - 5 = -z + 3*z. Suppose z = -j + 3*j - 2. What is r in -j - 1\/2*r + 1\/2*r**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 1, v: 2, j: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 54*c - 51. What is p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/((-4104)\/(-76)) + 130\/42?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33362439 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 570*((-2)\/7 + 3192\/882). Calculate the greatest common factor of l and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 41, 0.08, 2\/143, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:52 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69630.\nAnswer: 2, 3, 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + (15713\/7722 - (4300\/(-165) + 26)) and 31\/18.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2927825 and 5750?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3 + 2*d**2 - 4 + 0 - 2*d - d**2. Give t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/120 + (-96)\/(-10) + -1. Solve t*a + 3 = 12*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*250\/(-150).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 c when four letters picked without replacement from {q: 17, c: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 7, q: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f, v - f + 19 = -3*v. Let y = 6 + v. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171462 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let j(q) = -3*q + 1. Give j(l(t)).\nAnswer: 9*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*b**3 + 1681*b**2 wrt b.\nAnswer: 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24519, 49197, 73875?\n\"Answer: 24678*i - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1748, -1828, -1968, -2174, -2452?\n\"Answer: -q**3 - 24*q**2 - q - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1868, -1869, -1870, -1871, -1872?\n\"Answer: -h - 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149938192 or -149938190?\nAnswer: -149938192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**4)**28)**(-1\/20))**(2\/45) assuming l is positive.\nAnswer: l**(14\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/5151 + -447115\/752046. Is -2 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000352423367 to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.58 - 0.58. Let s = 71.17 - v. What is s rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(-3*k**2 + 2*k**2 - 2*k**2) + k**3 - 13*k**3 + 27*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 436*q**3 - 12508*q**2 - 33708*q.\nAnswer: -4*q*(q + 3)*(q + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (102 - 89) + 476\/(-32) and -173\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1442204*l**3*u**3 + 138*l**2 - 207*l*u**3 - 4*u**3 wrt l?\nAnswer: 8653224*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*m + 397*m = -209 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3\/10)*21390\/575. What is the greatest common divisor of 31 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 4*a - 25. Suppose -4*h + 0 = 16. Let m be (2 + -3 - 2) + h. List the prime factors of y(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-2) - (1 + -10). Let t = q + -1. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 3*z**5\/35 + 15*z**4\/28 + 3*z**3\/7 - 27*z**2\/14 - 14. Factor a(b).\nAnswer: 3*b*(b - 1)*(b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-934 + 1885 - 934 - 86*n)*(-2*n + 2*n - 6*n**2) to f*n**2 + v*n + y + w*n**3 and give w.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 9) to base 12\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4206 divided by -6\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157687.\nAnswer: 137, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56897*z**6 - 4*z**2 - 401*z.\nAnswer: 6827640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(14\/9)\/u*u)\/u)\/u**(19\/2) assuming u is positive.\nAnswer: u**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18109 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a8 (base 14) to base 9\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -20*c**3 - c**2 + c + 4. Let i(g) = 2*g**3 + g - 1. Give 4*i(z) + x(z).\nAnswer: -12*z**3 - z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -56. Let n = -351 - -219. Let k be (j\/n)\/(1\/3). What is the nearest to -1 in 31, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*i - 3*u + 69, -4*i + 110 = 5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 2, 4, 14, -2, 0.\nAnswer: -57, -2, 0, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - (-5 + (-5 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -2, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.14, 0.7, -3\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.19 and 284.2.\nAnswer: 321.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -6\/1699 (c) -3 (d) 60 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 2*i + 2. Let k be o(-3). Let q = 62 + k. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 14526?\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 60*q + 12 + 59*q - 120*q. Let p be r(12). What is the fourth biggest value in p, 1\/5, 2, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 5, t: 7, u: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 13*x - 13. Let q be (-5)\/(5\/(-4)) + 2. Let d(j) = 6 - 3 - q - 3 - 2*j + 4. Determine 6*c(v) - 39*d(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 120\/(-18))\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(6)\/sqrt(32)*-4.\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -234767 bigger than -234668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10862 less than 0.7785?\nAnswer: 10862.7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/(798\/57)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 1:59 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*g - 2 + 6, 3*z = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.066304ml to litres.\nAnswer: 0.002066304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 52870373.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/54*253\/66 and 155\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3 + 65*n**2 + 1408*n + 10164 = 0.\nAnswer: -22, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 32*p + 77. Let s(v) = -3*v**2 - 33*v - 78. Let r(f) = 3*a(f) + 2*s(f). Factor r(m).\nAnswer: 3*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (28 + -34 + -14) - -57.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*p**2 + 224*n**2*p - 2111*n**2 + p**2 wrt p?\nAnswer: 2*n**2*p + 224*n**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeokpkpecozk. Give prob of picking 1 c and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 176\/(-20) - (-46)\/20. Let t = -166.8 + 167. Put d, -7, t in decreasing order.\nAnswer: d, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 7\/3*n + 2\/3 + 8\/3*n**2 + n**3 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 556?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 1\/140*n**7 + 0*n**5 + 3\/160*n**6 + 0*n**4 + 0*n + 0*n**3 + 0 + 1\/1344*n**8 - 3*n**2. Factor b(m).\nAnswer: m**3*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a hour in minutes?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -154*m + 9. Let b be j(-8). Let d = 258 + -241. What is the greatest common factor of b and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -5. Let g = 11 + n. Suppose -3*v + 4*c = -28, -4*c + g = 5*v + 2. Solve -4*z - v = -0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -10. Is 4\/6 + (-98)\/h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -66*s + 2. Let u be p(-1). Let a = -10 + u. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 1. Let c be s(-3). What is the highest common divisor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2063880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -765*r + 622*r - 1783*r + 71262 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006284568 to seven dps.\nAnswer: 0.0000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*y - 4*f + 30, 78 = 4*y - f. Let o(d) = d**2 - 2*d - 3. Calculate the least common multiple of y and o(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 2. Find s such that 4 - 4 + 2*s - 4*s**f - 10*s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122.114 - -122. Let x = p + 0.241. What is x rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 26\/7)*7. Suppose s - 9 = -3*h. Let m be -5 + 4 + h + 3. Which is smaller: m or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -3*o - 14, 5*d - 3 + 15 = -o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 71.6. Which is the second smallest value? (a) g (b) 1\/7 (c) -2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 19, -2, -49, -128, -245, -406, -617?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69567850*p**2*u + 618168723*p**2 wrt u?\nAnswer: 69567850*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -40 + 13*w + 17*w - 16*w - 23*w. Suppose 12 + 7 = -m + 4*n, -5*m - 4*n - 47 = 0. Is p(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32150060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pozo when four letters picked without replacement from nqyzyyzyqoop.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.477504 rounded to 2 dps?\nAnswer: 6.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*h + 21*a - 23*a, -3*h = a - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81599447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5335736 + 3?\nAnswer: -5335733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b. Let u(k) = 234*k**2. What is u(x(s))?\nAnswer: 28314*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -199.322 + -3872\nAnswer: -4071.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 809070 less than -809109?\nAnswer: -1618179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 1141601?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (16 - 5) + (-23 - 1) + (22 - 13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 27*a - 1. What is the remainder when 73 is divided by h(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - (-3784)\/616?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2974, -1547, -122, 1301?\n\"Answer: -p**2 + 1430*p - 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33193830721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1029 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/23 - 3122*j**3\/23 + 201390*j**2\/23 + 223218*j\/23 - 1226988\/23 = 0.\nAnswer: -1623, -3, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40\/(-25))\/((-4)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*o + 3065*o = 45906 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 169782, 339567, 509348, 679125, 848898, 1018667, 1188432?\n\"Answer: -2*n**2 + 169791*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 144 + -111 + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 4*m**3\/3 + 3. Let h(z) be the third derivative of z**5\/60 - 8*z**2. What is o(h(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970562 a multiple of 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 765653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.462\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -47. Let d be -2 - 1 - (-39730)\/v. Let t = d + -879. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*s = -a + 27, 3*a - 12 = 2*s. Suppose -y + a*y = -20. Let i = y + 6. Is i less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 15) in base 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12913\/6 - 2145. Calculate the common denominator of a and -85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 55.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let n(j) = 3*j**2 - 2*j - 2. Let f(m) = -22*m - 16*m**2 - 23*m - 45 + 22*m**2 + 59*m**2. Let k(q) = -2*f(q) + 45*n(q). What is r(k(s))?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -6. Let u = f + 12. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.29358.\nAnswer: -5.29358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (2 - 1))\/2. Let d(k) = -3*k + 2*k + y*k - 3 + 0*k. Calculate d(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*30*(-12)\/(-160). Solve -296 = -p*m - 305 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and 17.945148.\nAnswer: 18.025148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18f (base 16) in base 6?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(44)*4)\/(sqrt(4)*5*-6)*1 + -5)**2.\nAnswer: -4*sqrt(11)\/3 + 5669\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3310, 3229, 3050, 2743, 2278, 1625, 754?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.759 and 0.277235329732.\nAnswer: -0.481764670268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - -1) - (-4 - -2))\/(5280\/(-8800)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 70852.54 centuries?\nAnswer: 7085254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19986 is divided by 664.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.5 - 44.2. Let v = z + 20. Which is the third biggest value? (a) -5 (b) v (c) -0.2 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - 2*y + 0*y)*(-4 + 21*y - 32*y - 1 + 3).\nAnswer: 77*y**2 + 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -75461+-1397885\nAnswer: -1473346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 563 in -100, -1\/3, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 2 - 6*c + 15*c)*(3*c**4 - 834 + 32*c**3 + 834).\nAnswer: -6*c**5 - 70*c**4 - 64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5983 + -5934. Solve -t*m = -45*m - 2*d - 2, -m = -4*d + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -563 + 1113. Let k = a + -392. Calculate the lowest common multiple of k and 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87\/4 - 969\/44. Sort p, 0.4, 3, -4 in ascending order.\nAnswer: -4, p, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129291, -129269, -129261, -129267, -129287?\nAnswer: -129321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 3 - 3)*(-43 - 2 - 26)*(-3 + 0 + 7) to the form g*p + s and give g.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - w - 2)*(5*w**2 - 3*w**2 + 66*w - 62*w).\nAnswer: -2*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 153 + 72 = 0. Calculate the remainder when d is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2 in increasing order.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 10. Suppose 2*t - o*t + 3*d + 12 = 0, -8 = -t + 3*d. Let u(k) = -1 - 2*k**t + 1. Let n(s) = -s**2. Give n(u(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + k**2 - 7*k**2 + 8 + 2*k**2 + 8*k. What are the prime factors of r(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22*a - 15*a - 7*a - a. Let j(b) = -16*b**2 - 8. Let f(n) = -n**2 + 1. Let p(k) = -6*f(k) + j(k). What is p(s(m))?\nAnswer: -10*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 14) in base 7?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 6:52 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 1244, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2301 (base 7) to base 14\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + 22. Let q(m) = -4*m - 12. Let h be q(-4). Suppose 5*s + 2*a = 707, -s - h*a + 270 = s. Calculate the remainder when s is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4326952 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-22))\/(13\/(-13)*70\/49)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38967720 divided by -6?\nAnswer: -6494620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t + u + 13, 4*t = -u - 58. What is the common denominator of t and -93\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*g**3 + 6*g**2 - 6*g**2)*(3*g - 3*g + g) + (3 - 3 + g**2)*(-g**2 + 0*g + 0*g) + 10*g**2 - 10*g**2 + 8*g**4.\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipy when three letters picked without replacement from tiptssyyk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.6 + 130.6. What is the nearest to 1 in -1\/11, -3\/10, -5, s?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-12))\/((-28)\/(-32)). Let o = 0 - -3. Put k, 2, o in ascending order.\nAnswer: k, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37813488 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(((-18)\/288)\/((-1)\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73 - -9?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1857850946 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94354 and 47918.\nAnswer: 9152338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.4 (b) 0.4 (c) -1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 12. Let r = 12 - 12.5. Let s = 1 - 2. Which is the nearest to s? (a) 4 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 - 546 - (19 + -8 - 8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -3.2, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000254 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqvqvqv. What is prob of picking 1 v and 1 q?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -107237 (base 8) in base 9?\nAnswer: -55067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:44 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3364 + -3362. Solve 2*b = c*k - 4, 8 = 2*k - 3*b - 0*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 9*p - 6. Suppose -5*t + 0 + 16 = -2*g, 4*t + 4*g + 4 = p. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Let u(f) = -2 - f**3 + 0 - 2*f - t*f**2 + 1. Let c be u(-5). Solve -5*x - w = -3*x - c, -5 = -w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627171?\nAnswer: 139, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 5*m + 10. Let f be q(7). Let x be 0 + (-2 - (-2)\/6). Sort 2\/15, f, x in descending order.\nAnswer: 2\/15, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-110) + (-12469)\/110. Let d = 33839\/297 + n. Find the common denominator of 95\/144 and d.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55965949 rounded to 4 dps?\nAnswer: -0.5597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - h**2)*(-h**2 + h**2 + 3*h**2) - 2*h**3 + 2*h**4 + 0*h**3 + 3*h**3.\nAnswer: 5*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (26 - 30 - (-1 - -5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 988\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**4*m**3 + 9*l**3 + 2*l**2*m**2 - 2*l*m**3 + 1137*l*m**2 wrt l?\nAnswer: 12*l**2*m**3 + 54*l + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-35 - ((20 - -2) + -5)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -53 - (155 - 157) - (-10 - 5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12724, -25388, -38054, -50722?\nAnswer: -63392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let o be y(-2). Let v(x) = 319*x**3 + x**2 - x + 1. Let i be v(1). Suppose -7*k = -o*k - i. What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and 187316.\nAnswer: -17233072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 8525*a**2 - 3*a**3 + 8*a**3 - 2871*a**2 - 2825*a**2 - 2829*a**2.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21728, 86927, 195598, 347747, 543380, 782503?\n\"Answer: c**3 + 21730*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528491465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/4 - 8*n**3\/3 + 3*n**2 - 3*n - 10. Let f be x(6). Let q = 191\/5 + f. Is q > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*p + 4*n = -26, 383 + 250 = -p - 157*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from lwjysswjlwyx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-736)\/207 + 3 + (-108)\/243.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 16*u**2 + 110*u + 102. Calculate t(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297 and 396?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6903 - -2285882892.\nAnswer: 2285889795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.68 - -4.32. Which is the nearest to x? (a) 1\/6 (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = -3*j - 8, o = -5*j + 2. Suppose j*z - 2*y = -z + 26, 5*y = 2*z - 55. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30\/7 (b) 10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 22*w - 11562 = 0. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99276725.\nAnswer: 5, 31, 128099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4507149ml?\nAnswer: 0.0004507149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/2673528 and -25\/3564704?\nAnswer: 10694112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6740 divided by -2?\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**6\/45 + 2*o**5\/15 + o**4\/3 + 4*o**3\/9 + o**2\/3 + 10*o - 4. Let i(a) be the first derivative of h(a). Factor i(l).\nAnswer: 2*(l + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 249783 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 34*k = 0. Let l(q) = q**3 - 8*q**2 + 8*q - 7. Let g be l(7). Suppose -2*i + g*i + 4*x = -22, k = -i + 4*x + 7. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or 6948?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112110220000000 + 21?\nAnswer: -21112110212222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -711, -2204, -4501, -7602, -11507, -16216, -21729?\n\"Answer: -402*v**2 - 287*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+3.688279627522\nAnswer: 4.188279627522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Collect the terms in -108716*n**2 - 12217*n + 12217*n.\nAnswer: -108716*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 3, 1\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 13 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435 = 132*b - 1021 - 2821 - 399 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -278137226 take away 5.8073?\nAnswer: -278137231.8073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214483931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43182338273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -4*a + 5*r, 11*a - 11*a = 5*r - 100 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153150 or -14\/19?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35285, 34401, 33517?\nAnswer: 32633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*(111 - 383486). What is k rounded to the nearest one thousand?\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -3, -6, -13, -24?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 1 - 14 = 5*i, -2*i = -x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*p - 3, 9*b - 4*b + 3*p = 3. Suppose 5*d + b*w = 2*w + 255, -2*d + 5*w = -123. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 80. Calculate the remainder when 152 + -69 + (1*-5 - -1) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701792469 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, i: 2, z: 3}. What is prob of picking 2 i and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34685.\nAnswer: 5, 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.88 - 1.12. Let s = 7 + j. Let d = 59 + s. Which is the nearest to d? (a) -17 (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 21) + 64 + -54?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -44, -39, -26, -11?\n\"Answer: -c**3 + 13*c**2 - 41*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 156009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 996 - 1017. What is the nearest to 1 in -0.4, z, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -l - t - 4*t, 0 = 2*l + 2*t + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8917 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7831097653\/30672765 - 4\/2044851. Let l be (3204\/(-60))\/(33\/(-42) - -1). Let k = v - l. Calculate the common denominator of k and -49\/59.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/7 - 10*s**2 - 928*s\/7 - 3456\/7.\nAnswer: -(s + 8)**2*(s + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*m**2 + 0 - 575*m**2 + 0 + 1528*m**2.\nAnswer: 1392*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 - 169. What is the third derivative of v - 25*i**3 + 2 - 9*i**2 - 12 wrt i?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239.999573 - -240. What is y rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.438048 meters?\nAnswer: 438048000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 49*d + 574. Give n(-21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 794570931 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/60 - (-2)\/4. What is the third biggest value in 0.6, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9 + (-144)\/936 + 8492\/(-234).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-69)\/(-15) - 4)*5. Suppose o + 4802 = 3*q + q, 0 = -w*q - o + 3598. Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 34. Let v(x) = x**3 + 9*x**2 - x - 7. Suppose -4*o - 4 = 0, -3*o = 3*n - 0*n + 30. Let c be v(n). Solve -4*p = -c - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 - 3*m**2 + 4*m**2 + 97 + 159*m + 222 - 5.\nAnswer: (m + 2)*(m + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -97*g**2. Let r(z) be the first derivative of -13*z**2 + 2107. Give i(r(x)).\nAnswer: -65572*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4092 divided by 54.\nAnswer: 682\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:56 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47646 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, f: 6, m: 6, e: 3}. Give prob of sequence essm.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7690*r = -8400*r - 46860 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -50 - (-113 - (-192 + 102)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4\/2 + 5*b**3 + 105*b**2\/2 + 45*b.\nAnswer: -5*b*(b - 6)*(b + 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -110201?\nAnswer: 110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -24, 1, 0, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:10 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 3*z**2 - 3*z - 3. Let q be w(-4). Let l = q + 12. Suppose 3*k - 14 = -5. Sort 2, l, k in increasing order.\nAnswer: 2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/6))**35\/((n\/n**(-1\/4)*n*n)\/n*n*n**(-1\/2)) assuming n is positive.\nAnswer: n**(317\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 + 372 = 4*n. Which is greater: 216 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 58 - ((-43 - -70) + -14 + -2 - 21).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 2)*((-13)\/975)\/((-1)\/6)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 14 - 4 = 0. Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67001*-5.877\nAnswer: -393764.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 + 372. Sort -3, 3, i in increasing order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.09 + -0.69. What is the fourth biggest value in -1\/6, m, 2, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by (-1 - -3)*34 + -8.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/17)\/(6\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 14*x**2 - x - 12*x + 11*x. Let l(b) = -122*b**2. What is n(l(m))?\nAnswer: 208376*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 162*w**2. Let i(g) = 2*g. Give a(i(h)).\nAnswer: 648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103096 - 254*x - 103096 + (2*x - 4*x + 4*x)*(-3 - 1 + 6).\nAnswer: -250*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (7*15)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z - 8 - 2\/5*z**2 + 14\/15*z**3 - 3\/10*z**4. Determine c so that m(c) = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 20\/3*f**3 - 4\/21*f**7 - 8\/5*f**5 + 19\/3*f**4 - 22\/15*f**6 + 102*f - 16*f**2 + 0. Solve o(v) = 0.\nAnswer: -4, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 166*y**5\/5 - 123*y**2\/2 + 275. What is the second derivative of n(o) wrt o?\nAnswer: 1992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1470649*z - 8*z**2 + 1470649*z.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(684) + (-2*sqrt(2299) + sqrt(2299))*4)*-5.\nAnswer: 25 + 190*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 1)*(2*i**4 - 4*i**4 + 4*i**4).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = v, 8 - 3 = -2*l - 3*v. Is 3 a factor of (-15 - (-1 + -1))\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-5)\/2 - -3). Let w be 6\/(1\/(-2) - a). Suppose w*q + 4 = -j, -j = q - 0*j + 4. Solve q = -3*p + p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3570000 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9456 divided by 6\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -23, 1975 in decreasing order.\nAnswer: 1975, 1, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*t**3*y + 274*a*t + 2*a*y + 18*y with respect to t.\nAnswer: 3*a*t**2*y + 274*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-14))\/((108\/(-144))\/(6\/4))\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210400020 (base 5) in base 7?\nAnswer: -10260640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2046 - -2048. Solve -v*m = -2*z, -7*m + 9*m = 4*z + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*c = -6, 7 = -4*w + 5*w - 4*c. Solve -3*d - w = -6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-5 + 2*a + 5) - 3*a + 3*a + 4*a + (-4 - 2 + 5)*(3 - 3 - a) + 2*a + 0 + 0.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-740)\/1295)\/((-4)\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*p + 13 = 4, -6 = -4*v - p. Solve 0 = -2*s - v + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**3 - 10*h**2 + 16*h - 311. Let u(r) = -17*r**3 - 28*r**2 + 44*r - 933. Determine 11*i(k) - 4*u(k).\nAnswer: 2*k**3 + 2*k**2 + 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 - (-1 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39287*z + 39564*z - 11357 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10352*z + 20467*z - 10117*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55395306 and 3186.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 3*s + g, 5*g + 22 = 2*s - 86. Suppose -s*t - 12 = -58*t. Factor 14\/9*l**t + 2*l + 0 + 10\/3*l**2 + 2\/9*l**4.\nAnswer: 2*l*(l + 1)*(l + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634853 or -634854?\nAnswer: -634854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2593 + 5186 + 4*c - 2593 - 6*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 11*y + 12. Let f be r(9). Let k = f + 3. Let l(h) = 2*h**2 + 4*h. What is the units digit of l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3510\/(-60450))\/((-3)\/(-5))*-1.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59319.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let k be (-1)\/(1\/(-1)) - -2. Suppose -k*b = -b. Let d = b + 4. Put 3, -3, d in decreasing order.\nAnswer: d, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 60. Solve -5*j - p = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (31 - (65 + 31))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 18*q - 17*q - 6, 4*q + 42 = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 17*s**2 - s - 3. Does 25 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4 - 5 + 5*c - 21. Suppose 0 = 29*w - 200 + 55. Let d be m(w). What is the highest common divisor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 4*w**5 + w**5 + (-w + 2*w - 4*w + (-6*w + w + 4*w)*(11 - 6 + 3) + 0*w - w - 2*w + (4*w + 2 - 2)*(-1 - 1 + 3))*(w**4 - 2*w**4 - w**4).\nAnswer: 17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1)*4 - sqrt(448).\nAnswer: 4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -13.1. Let j = 13.1 + a. What is the closest to j in -4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 261*o**2 + 6*o - 43 - 216*o**2 - 6*o wrt o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 + 10*n - 36. Suppose -136 = -26*c + 9*c. Calculate the remainder when 127 is divided by r(c).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13829, -55694, -125455, -223100, -348617, -501994, -683219?\nAnswer: -892280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/8 + 14*w**3\/3 - 19*w**2. Let v be d(-8). Which is smaller: 5\/2 or v?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 7*l = 0. Find the first derivative of l*y**2 + y**2 - 507*y - 75 + 507*y - 4*y**4 wrt y.\nAnswer: -16*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -18*y**2. Let w(p) = 315*p. Let s(d) = -13*d. Let b(x) = -49*s(x) - 2*w(x). Determine b(t(q)).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -15. Let z be f - (-7)\/(7\/2). Let h = -0.3 - -0.2. What is the biggest value in 0.2, h, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 37, 43, 41, 31, 13, -13?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8076, 8077, 8078, 8079?\n\"Answer: w + 8075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/(z**(-3\/2)*z))**(2\/39) assuming z is positive.\nAnswer: z**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935125080.\nAnswer: 2, 5, 7, 83, 83267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 5, z: 4, j: 3, o: 1, h: 3, r: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 30*l + 1. Let q(t) = -4*t**2 + 42*t + 20. Let w be q(11). Give k(w).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:33 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 220723\nAnswer: -7\/220723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947409051 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -127. What is the closest to 0.2 in 1\/7, -2, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 7 = 856*n - 853*n, -20 = -n - 3*n - 4*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6842 - 6632. Solve 49*q + v = 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*t = -4*w + 517*t - 143, 0 = -10*t + 270 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*j - 6*j. Suppose 4*b = 5*g + 36, 0*b - g - j = -3*b. Let u be ((-2)\/b)\/(28\/42). What is the third biggest value in -1, u, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 24*h + 10. Is m(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3, -3*f - 7 = -4*j + 12. Suppose -59 = -j*o + 13. Let l = 24 - 22. Solve 6*g + 5*x = 4*g + 13, -5*g + l*x = -o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -150*s - 2407. Calculate k(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*d - d**3 + 270*d - 144*d to r*d**2 + o + y*d**3 + z*d and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) 0.5 (c) 2\/5 (d) 0.01 (e) -216 (f) 23.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 48. Let q = 32 - v. Solve -q*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5\/6)*h*h)\/((h*h\/(h**(-21)\/h)*h)\/h))**50 assuming h is positive.\nAnswer: h**(-3025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/9890 and -67\/14835.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/2 - 42*u**3 + 6977*u**2 + 473598*u - 961065\/2 = 0.\nAnswer: -135, -63, 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.38. Let y = v + 0.67878. What is y rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 3*r**2 - 102*r**3 + 75*r**3 + 71*r**3 to the form k + c*r + d*r**2 + o*r**3 and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-44) + (-5290)\/(-55). Suppose 3*q = 3*v + j, -2*q = 2*q + 2*v - 122. Calculate the highest common factor of 217 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 11. Let h be s\/32 + (-1 - -1). Let a = 1 - 1. What is the nearest to 1 in 1, a, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1265 and 17829255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 7385 and 6730092.\nAnswer: 6737477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, s - 5*b = -s + 6. Suppose 3*t = s*w, 12 = w + 3*w. Let o = t - 1. Calculate the remainder when 6 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6476920.3 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -966 + 1489. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8837.072mm in kilometers?\nAnswer: 0.008837072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13557 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1760521 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.2, -2\/3, -0.04, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*k + 390*k + 39*k + 1 + 2*k - 1 + (-1 + 2 - 2)*(-3*k + k + 0*k).\nAnswer: 490*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeeoeeeoeooeeeoe. What is prob of picking 2 e and 2 o?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 27*q**2 - 21*q + 46. Let g(i) = -2*i**2. Let p(w) = -5*g(w) + l(w). Calculate p(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273060 not equal to 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110101 (base 2) in base 16?\nAnswer: -f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396)*-3 + 2 - (sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) - -5*sqrt(396)*-3)) + sqrt(396))))*-3*3.\nAnswer: -702*sqrt(11) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4388, 5150, 5912?\nAnswer: 6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s + 73*s - 86444338 + 2*s**3 + 86444338.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1704 - 1200. Let v be (-4722)\/4*8\/6. Let z = v + o. What is z rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/37260 and -169\/2268.\nAnswer: 260820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/((-10)\/5 - -4). Suppose -3*j + 74 + 34 = 0. Let f = j + k. Solve -2*u + 0*y - 5*y - f = 0, -5*u + y - 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58012 is divided by 17147?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 57?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 46*b + 387. Calculate the remainder when x(-25) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*-7*(-8)\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 112 = 0. Suppose -3*i - 623 = -g - 2511, 0 = -2*g - 8. Suppose 16*u - i = 220. What is the remainder when u is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/6*(-6963)\/422. Solve 42*a = l*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-123)*135\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1345471*n - 4036420. Determine s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 985948893*a**2 - 59654181*a - 6?\nAnswer: 1971897786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04366 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 47*p**7\/210 - 31*p**3\/3 + p**2 + 24. Differentiate a(n) wrt n.\nAnswer: 188*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 + 10*c - 1. Let i be a(7). Suppose -i = -0*g - 3*g. What is the remainder when g is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*p + 90 = 0, 2*n + 3*p - 46 = 11. Let r = n + -74. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1135, -4504, -10079, -17830, -27727, -39740, -53839, -69994?\n\"Answer: 5*y**3 - 1133*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 13. Let z(b) = -b**3 + 5*b**2 - 3*b. Let k be z(2). Let l be p(k). Let a be 3*(1*-1 - -2). Solve 0 = -a*m - l + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15455402*a**2\/3 + 2*a\/3.\nAnswer: 2*a*(7727701*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214831273.8 rounded to the nearest 10000?\nAnswer: 214830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/9 (c) -2\/185 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 26*c**2 - 22*c - 85. Give j(25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 2*k + 1134052. Let u be z(0). Suppose u + 661148 = 11*h. Round h to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 22 = -2. Is 7 a factor of 5\/(15\/t) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 970279 + -472979. Round y to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01908 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598368 = 39*c + 53*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*a**2 - 19*a + 19*a.\nAnswer: 189*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u + 45. Let k(n) = 1. Calculate -45*k(j) + y(j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3024 and 1008?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4065 is divided by 1043.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -686.34 in 13, -1.7, 2\/3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -3*a**4\/8 + a**2. Let o(k) be the second derivative of -5*k**3\/6 + 3135*k. Calculate o(c(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633.\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -178\/3. Let i = -224183\/5 + 45009. Let u = i + -173. Put 2, y, u in descending order.\nAnswer: 2, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10159 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317 minus -506518909?\nAnswer: 506525226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421824 is divided by 1137.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 163 - 83 = 0. Suppose -304 = -3*i - 67. Suppose -3*v = -5*w - i, -4*v - 135 = -9*v + 5*w. Calculate the remainder when v is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*p + 1126*p + 1844 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263000, 526001, 789002, 1052003?\nAnswer: 1315004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 - 2396*h\/5 - 2152806\/5.\nAnswer: -2*(h + 1797)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -107, -180, -255, -332, -411, -492?\n\"Answer: -t**2 - 68*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*sqrt(1792)*1)\/((sqrt(216)\/sqrt(6) + sqrt(36))*1).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 21 = 1. Let q(u) = x*u + 95 - 95 + 0*u. Let i(c) = -4*c - 3. Let b(f) = -7*f - 5. Let w(o) = 3*b(o) - 5*i(o). Calculate -6*q(v) - 33*w(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 39867 divided by -157\nAnswer: -39867\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1540902?\nAnswer: -1\/1540902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1678 - 1682. Let j(t) = 2*t**3 - 5*t**2 + 4*t + 2. Let y(h) = -2*h**3 + 6*h**2 - 5*h - 3. Calculate o*y(m) - 5*j(m).\nAnswer: -2*m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, m: 2, h: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -26. Suppose -x + 119 + u = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-50)*16\/20*5\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (66\/880*-60)\/((-2)\/((-40)\/33))\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 h when three letters picked without replacement from {i: 2, h: 2, e: 7, g: 2, k: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080*a**2 + 1278655 + 2*a - 1278655.\nAnswer: -1080*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/22)\/(6\/(-8)). Let d(k) = -3*k**2 - 5*k + k**2 + i - 4. Calculate d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4)\/296)*(8 + -2 + -10).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 5, n: 1, t: 1, r: 1, q: 5}. Give prob of sequence qntz.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 260*i - 2269. Determine u(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:59 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.14. Let x = -0.2 - d. What is the closest to x in -0.4, 7, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7616\/102)\/28)\/(1\/(-24)*-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 15 + 8 + 230439*w.\nAnswer: 230439*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2638?\nAnswer: 26380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842 is divided by ((-128)\/(-6) + -4)*(-1 - 14\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -182*j**4\/9 - 176*j**3\/3 - 542*j**2\/9 - 76*j\/3 - 32\/9 = 0. What is j?\nAnswer: -1, -8\/13, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 1, z: 1, x: 1, r: 1}. What is prob of picking 1 z, 2 s, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-48)*(f\/(f*f**0\/f))**45 assuming f is positive.\nAnswer: f**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 7*p**2 - 3229*p - 21266. Let q(v) = v**3 + 2*v**2 - 1077*v - 7090. Let n(y) = -2*l(y) + 7*q(y). What is the first derivative of n(j) wrt j?\nAnswer: 3*j**2 - 1081","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a - 3. Let y(v) = -4 + 5*v + v + 6. Let d(c) = 5*n(c) + 6*y(c). What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from voo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p**4\/7 + 2048*p**3\/7 - 9554*p**2\/7 + 3820*p\/7 + 15504\/7 = 0 for p.\nAnswer: -1, 2, 204\/41, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -38*z - 24. Let p be t(-11). Let b = p - 391. What is the least common multiple of b and 550?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 + 21*r**2 - 5*r + 15. Let q(j) = j**3 + j - 1. Let l(u) = -i(u) - 4*q(u). What is the tens digit of l(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8148 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32725*n**2*z**3 + 7*n*x*z - 2*n*z**3 + x*z - 8*x - 6*z**3 + 3*z**2 + 21 wrt n?\nAnswer: -65450*n*z**3 + 7*x*z - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-117)\/182*28\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 17758576?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 70. What is the nearest to 1.2 in t, -5, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225209085.\nAnswer: 3, 5, 15013939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - l + l + (-l + 2*l - 2*l)*(0*l + 0*l + 2*l) - 4*l**2 - 2*l**2 + 12 - 14.\nAnswer: -7*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**3 - 4*l**2 + 5*l - 6. What is y(3)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 37*v**2 - 22*v - 78. Let d(r) = 2*r**3 + 35*r**2 - 23*r - 78. Let j(a) = 3*d(a) - 4*u(a). What is the remainder when 51 is divided by j(21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 65502, -22, 3\/2, -4, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -799.728.\nAnswer: -800.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + a - 106. Let v be z(0). Suppose -208 = 207*x - 205*x. Let s = x - v. Solve 2*w = -2*d - s, 0 = w + 4*d - 6 - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.099927576 + -87.1. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d - 2*d + (1 - 4 + 0)*(5*d - 4 + 4) + d - 2*d + 3*d)*(0 - 2*d + 0).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 12. Let p(j) = -2*j - 12. Let v(u) = -1. Let h(m) = -p(m) + 8*v(m). Determine 8*h(i) - 3*y(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 204? (a) -39 (b) -2\/7 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 590 and 8?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 67. Let y = 3.99 + 0.01. Which is the closest to 1? (a) -0.5 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-40) - 0)*-615. Let k = 464 - t. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*j - 10 + 34, 2*l - 4*j - 12 = 0. Sort 2, l, 33 in ascending order.\nAnswer: l, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 11 = 5*d + 3*v, d = 5*v + 19. Solve -2*y + d = y + 2*o, 5*o = -5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(2\/77)\/(50\/350)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 + (56133\/42)\/81?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1090 and -305894.74?\nAnswer: 304804.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -20*(-4)\/(-4). What is the highest common divisor of o and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 2. Let n = -72.678 - k. Round n to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (84\/(-20) + 6)*(6 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 2 (b) -2\/7 (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6588 times 0.064614\nAnswer: 425.677032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/6)\/(x\/(x*x\/x**(15\/8)))*x\/(x**(-7\/4)*x)*x**2 assuming x is positive.\nAnswer: x**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95 - -7?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 16*f + 2 = 0, -5*b - 4 - 1 = -4*f + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576008287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91456160?\nAnswer: 2, 5, 571601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14088 and 15564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005834379 to 7 decimal places.\nAnswer: -0.0000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = l - 6, -y + 25 = -4*l. Suppose 3*j - y*h = j + 3, -j - h = 9. Let v = 32 - j. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*u - 2)*(1 - 2 - 3)*(-5 + 2 + 1 + (4 - 4 + 1)*(3 - 4 - 1))*(476 - 212 - 231) in the form l*u + z and give l.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 242.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*q)*(-3*q + 5*q - 3*q) - 3*q**2 - q**2 + q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57550.4634 plus -0.958?\nAnswer: 57549.5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 90331607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + (-4)\/((-78)\/(9 - 15))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*y - 153*y - 102. Is 38 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*p - 13162, -60*p + 52538 = 4*b - 58*p. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 1479647?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -210414644 divided by 17\nAnswer: -12377332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658714.\nAnswer: 2, 7, 47051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248873163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**3\/6 + 7*t**2\/2 + 7*t. Let k be u(12). What is the first derivative of k - 52*b + 67*b - 53*b wrt b?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.09 + -9.09. Let s be 1\/2*15\/(-2). Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - y - 22. Determine a(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -60554?\nAnswer: 3\/60554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66636, 131492, 196346, 261198, 326048, 390896, 455742?\nAnswer: 520586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60074 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5 - 4. Suppose 497 = t*q - 124. What is the highest common factor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2627595.9 milliseconds to hours.\nAnswer: 0.72988775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijiiijj. Give prob of sequence iijj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2187 smaller than -15308\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {k: 6, q: 4, z: 5, a: 5}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23336 (base 10) to base 15\nAnswer: -6dab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdkooiokxoxok. What is prob of sequence osx?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288671\/34008 - -861\/104. Calculate the common denominator of 34\/981 and p.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/205*(-55)\/(-44)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/723787 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21\/2, 52 in increasing order.\nAnswer: -21\/2, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/104460 and 62\/105.\nAnswer: 731220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(160)*-3 - sqrt(10)).\nAnswer: -sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**8\/10920 + t**6\/780 + t**5\/390 - t**3 - 6. Let f(b) be the third derivative of d(b). Determine x, given that f(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/35)*(j*j**(-30))\/j*j)\/(j**(-4\/9)*j**(4\/3)))**(-2\/15) assuming j is positive.\nAnswer: j**(18866\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 4*b)*(-12*b**2 + b**3 - 24*b**2 - 3*b**3) + 2*b**4 + b**3 - b**3.\nAnswer: 8*b**4 + 108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1296375 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313656 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 6 - 2*t + 28 - 9.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111000 - 1100?\nAnswer: 10011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -2 - l + 5\/2*l**2 + 4\/3*l**3 - 1\/4*l**4. Let v be r(5). Let o(g) = -6*g**2 - 2*g - 1. What is o(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36788 - 1404?\nAnswer: -38192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -16, 0.02, 6379 in descending order.\nAnswer: 6379, 0.3, 0.02, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -15. Let v = i - -11. Solve 5*n + 3*g - 30 + 3 = 0, -v*n = g - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 2519\/5 + (-442)\/(-2210) is divided by 68*(2 - 20\/16).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180\/11 - -2362\/143. Let k be (8\/54)\/((32\/(-6))\/8). Which is the third smallest value? (a) -3\/2 (b) k (c) 3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/((-627)\/22))\/(2\/(-3)))\/(2\/72).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 + -0.11. Put -3, j, 12 in ascending order.\nAnswer: -3, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 748 * 0.031\nAnswer: 23.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -l + 5*u, 4*l + u + 2*u = 39. Does 21 divide (l\/(-10))\/((-3)\/80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2468a4 (base 14) to base 9\nAnswer: -2311207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {j: 3, m: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 155.\nAnswer: 3\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4173, -4172, -4171, -4170?\n\"Answer: g - 4174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 146*o**3 + 3*o**2 - 3*o. What is v(1)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.09 (b) 14 (c) 0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2\/7, 3\/59.\nAnswer: -18, -2\/7, 3\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*g - 7*g - 2*x, 0 = g - 3*x - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 35 - 16 - 13 + 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + 0.46. Let y = -2.21 + q. What is the smallest value in -1\/6, y, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -s*n + 2*n = -10. Solve j - 2*j - n = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25653118)\/(-2247852) + 3\/(-38)\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = 4*l, 0*l - 5*l = 4*n - 28. Let u = -9 + n. Suppose -16 = -y - u*y. What is the highest common divisor of y and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -57. Let m = f + -9. Is m < 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729 times 4?\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 7:03 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*w - 45, 5 = 5*w - 6*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(38)\/(sqrt(2) + sqrt(200)) + -1*sqrt(19) + 1).\nAnswer: -4 + 40*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g + 4)*(896 + 902 - 1798 - 2912*g)*(0 + 0 + 2*g).\nAnswer: 5824*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 38632077*f. Let g(m) = 10*m**2. Determine k(g(d)).\nAnswer: 386320770*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70098997 - 70099121.000134. Let b = t + 124. Round b to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4612538 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 - -206. Let t be ((-96)\/30)\/g*-1. Solve 0*i + t*i**3 + 0 - 2\/5*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1464 + -903. Calculate the greatest common divisor of f and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 412*b**3 + 26 wrt b?\nAnswer: 1236*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 30466?\nAnswer: 30463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591417107 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.857965ng in kilograms?\nAnswer: 0.000000000002857965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8\/13, 4\/13, 1\/41?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70699512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 739.9 + -86.5. Let b = -654 + u. Sort 5, b, -0.1, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 - (-24 - -100) - 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1735, 57, -4, 5 in descending order.\nAnswer: 57, 5, -4, -1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2\/5 (c) 0.125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 91*l**2 + 38*l - 8. Let n(c) = -c**2 + 6*c - 1. Calculate 6*n(q) - s(q).\nAnswer: -97*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5613*y - 340377. Give r(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/60 + 13*i**4\/12 + 9*i**3\/2 - 61*i**2. What is the remainder when 160 is divided by u(-26)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161a098 (base 12) to base 9\nAnswer: -8444268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 2. Let g be k(12). Suppose -2*w + s + 33 = 0, -3*w + s + g = -24. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, -211?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320301, -320269, -320239, -320211, -320185, -320161?\nAnswer: -320139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:59 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -214*m + 10040. Give c(47).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -81*s - 79*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*j + 90 - 58 = 0, -5*j + 15 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121101 (base 4) in base 15?\nAnswer: 72c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.9 - -16.9. Let w = -692\/3 + 190. Let u = w - -42. What is the closest to g in -0.2, -0.4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/118 and 13\/10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 772*b**3 - 51*b - 15. Let m(t) = 193*t**3 - 13*t - 4. Let p(g) = 6*j(g) - 22*m(g). Find the second derivative of p(y) wrt y.\nAnswer: 2316*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*s + 5 = 0, 15 = -3*f - 7*s + 10*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4561, 4569, 4575, 4573, 4557, 4521?\nAnswer: 4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 11*w + 3. Calculate c(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 13590.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/9 - 22*c**2 + 1089*c = 0. What is c?\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 768944*n**4 - 121*n - 768933*n**4 - 3 + 31*n as f + g*n**2 + d*n**4 + j*n + u*n**3 and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than -879581621?\nAnswer: -879581619.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-55)\/(114400\/(-33240))?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-509256)\/3078684)\/(22\/(-28))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -27)*(-4)\/(-114).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 3. Let u(j) = 7*j + 5. Let d(q) = 3*u(q) + 5*y(q). Let z(w) = 4*w + 0*w - 3*w. Calculate z(d(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0466332 and 0.4.\nAnswer: 0.3533668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, f: 1, i: 2, x: 1, p: 5, g: 1}. What is prob of sequence ppg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = -39*l + 25449. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9982 - -1.96983. Round w to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5397204 and 222.\nAnswer: 199696548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/210 - 16*s**5\/105 - 23*s**4\/14 - 60*s**3\/7 - 75*s**2. Determine c, given that h(c) = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 2*x**2 + 4*x**2 + (-x + 3 - 3 - 2 + 2*x + 2 + (2*x + 2*x - 2*x)*(0 - 3 + 1) - x + 4*x - 2*x - 26*x - 1 + 1 - 1 - x + 1)*(2 - 2 - x).\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**5*x + 13839*p**5 + p**2*x - 27540*p**2 - 2*p wrt p?\nAnswer: 240*p**2*x + 830340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -7.3. Let i = 58.3 + -64. Let k = i + d. Which is the biggest value? (a) -5\/4 (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -51*r**3 + 6*r**2 - 5*r - 3. Let k be j(2). Let z = -40 - k. What are the prime factors of z?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 59*n**2 - 4305*n + 27196. Determine r(66).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-119)*(-8)\/(-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -41*c**2 + 7. Let q(o) = 21*o**2 - 3. Determine -5*q(g) - 2*u(g).\nAnswer: -23*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 44. Let u = 257 + -142. Suppose 0 = -u*m + 116*m + 4. Which is the nearest to m? (a) 2 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -35. Which is greater: 0.029 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 4. Let a(p) = 1. Suppose -2*u = 5*j - 6*u + 68, 0 = -4*j + 7*u - 62. Give j*a(g) + 3*w(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/12, 0.1, 1\/4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-23))*y**(2\/47) assuming y is positive.\nAnswer: y**(-1079\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-133)*(-2625)\/(-2250)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -26 - (376 + -329) - 21\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -399.3 + 399. What is the closest to -0.2 in 0.4, 0.89, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3149*m - 6278*m + 3078*m. Let j(o) = -3*o**2. Calculate j(a(w)).\nAnswer: -7803*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2566313993 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwwghghwhhgf. What is prob of sequence wwh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 559\/117 - 2\/(-9). Suppose -5*a + 2*a = v*l - 26499988, 0 = l + 5*a - 5299980. What is l rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 2*w**5\/15 - w**3\/6 + 4*w**2. What is t(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3415 + 9231. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - -291. Calculate the highest common divisor of t and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944561328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - ((-22 - -35) + 2)) + 3 + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1665 + -11625\/7. Suppose -6*m + 45 = 3*j, -128*j = -126*j + 2*m - 18. Factor -2\/7 - 250\/7*o**j - l*o - 150\/7*o**2.\nAnswer: -2*(5*o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4554*c - 4554*c - 3*c**2 to the form l + r*c + j*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 150188739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290261 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 59*r + 150*r - 34*r = -2*q, -q - r + 20*r - 4*r = 42 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 + 2*x**2. Suppose 0 = -41*b - 24*b + 260. What is the lowest common multiple of 97\/b - (3\/1)\/12 and o(-2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 + (1 - 0). Suppose b + j + 8 = -3*t, -t = 4. Calculate the remainder when 1\/(10\/(-4))*-20 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/((b*b**(5\/6)*b)\/b))\/b)*b*b*b*b**(-4\/7)*b*b**14*b*b**(-12\/11)*b assuming b is positive.\nAnswer: b**(9781\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + 22\/6. Let n = 5 - i. Suppose -3*t = -n*t. Solve 0 = -t*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 2 + 5 + 374*u**3 - 368*u**3 + u**2 - 13 - 13 as x + o*u**2 + p*u**3 + q*u + y*u**4 and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -324*n**4 + 185148*n**3 - 266920*n**2 + 91216*n - 9120 = 0. What is n?\nAnswer: 2\/9, 1, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((sqrt(1700)*-1 + 1)**2 - (sqrt(1700) + ((sqrt(1700) - (sqrt(1700) - 2*sqrt(1700)))**2 - sqrt(1700)) + -1)).\nAnswer: -10196 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4651 * -2913.\nAnswer: 13548363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 335 = -423. Suppose c = 2*c + 3, 4*v - 2*c = 18. Solve 6*n - 2*n = -2*j, -4*j + t = -v*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - t + 6 = -16, -2*n - 3*t = -14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111 + 27 + 83)*(1 - -6) + -49 + 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*b = 26, -4*b + 41 = 3*c + 2. Suppose -11 = -4*p + 37. Suppose -5*f + p = -23. Calculate the remainder when c is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f - 350. Let v be u(-48). Is (-3 + 5)*3825\/v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 11*v - 6*v - 13*v + 1 - 143*v**2.\nAnswer: -143*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 37\/28000 (c) -2\/9 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 1, a: 2, w: 1, l: 4, b: 3}. Give prob of sequence azbo.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2 + 4*z + 68. Let n(b) = -b. Determine n(p(x)).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/192 and 204\/(-544) - (-131)\/320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, k: 1, c: 2, t: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 438*l**2. Let y(o) = -5*o**2. What is r(y(j))?\nAnswer: 10950*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31 and -67913161983?\nAnswer: 67913162014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 6*u - 5*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/18015?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + 3*b + 6. Let n be t(6). Let h be (-934)\/n - (-6)\/36. Suppose 4*k - 404 = -4*y, -h = -2*k + 4*y + 154. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -0.5, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8. Suppose s + y = 2*y - d, y - 11 = -4*s. Solve -9 = -f - s*c, 0 = -3*f + 4*c - 0 - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297319 is divided by 1760?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4802*r**3\/5 - 38808*r**2\/5 + 3144*r\/5 - 64\/5.\nAnswer: 2*(r - 8)*(49*r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/3 + 8296*f\/3 + 1160870\/3 = 0. What is f?\nAnswer: -4003, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*b + 206, -5*f + 10 - 25 = 0. Put 6, -3, b in decreasing order.\nAnswer: 6, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*x**4 - 106*x + 106*x)*(7 + 1 - 1).\nAnswer: -770*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -692554, -692491, -692428, -692365?\n\"Answer: 63*m - 692617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2615*d**2. Let k(c) = -3*c + 1. Determine y(k(m)).\nAnswer: -23535*m**2 + 15690*m - 2615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/8, -0.2, 13, 2, -12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -2. Let u = l + 0.1. Put -0.5, u, 1 in increasing order.\nAnswer: -0.5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 2. Suppose 0 = k - 2*m + 4, 4*k = -3*m - 2 - 14. Let a(z) = 7*z**2 - 5. Calculate k*a(x) - 10*d(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**3 - 3*j**2 + 8*j + 2. Let t be z(3). Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 19*i - 62. Determine l(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s**2 - s + 1. Let f(p) = p**3 + 4*p**2 + 3*p - 3. What is -f(c) - 3*w(c)?\nAnswer: -4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.16 and 4.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0 (c) -3 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(32\/236))\/(-39*39\/3042).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15.1333 kilograms?\nAnswer: 15133300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169.602 - 170. Let t = r + 0.098. Let d = -77\/8 + 19\/2. What is the closest to 0 in -2\/9, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424391, -848852, -1273311, -1697768, -2122223, -2546676?\nAnswer: -2971127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 - 26 = 0. Suppose 8 = 2*r, 0*u - 3*r = -5*u - 32. Let b be -2 - (u + 2) - -3. Solve -3*q - b*j = 2*j - 11, -a*q = 2*j + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -9. Suppose j = g + 1690, -4*g - z = -15. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111010 - 111011?\nAnswer: 11100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a + 1360. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (90\/34 + -3)*1600\/3. Let j = i + 188. Let o = j + -1\/68. What is the third smallest value in o, 2\/7, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 356 = g, -g + 76 = -3*i - 184. Let q = 57 + i. Let t = -21 - q. Calculate the smallest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579*b - 746*b - 11320 = 625*b + 9272 for b.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.5 + -65. Let y = 25 - x. Let z = -2 - 3. Which is the smallest value? (a) y (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + z - 64. Calculate the lowest common multiple of 18 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.9748 and -25719.\nAnswer: -25728.9748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ooowoxoujwoxxjujuu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = -6. Let k(u) = -u**3 - 8*u**2 + 36 - 48 - 4*u + 0*u**v. Calculate k(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*-5*(-104)\/(-60)*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**3\/15 - 33. Find l such that o(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 14*u - 120. Let n = -8 + u. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64900.51 - -64596. Let l = -306 - i. What is l rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from ayhcakcayy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cec when three letters picked without replacement from ecevcckck.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4107883, -4107887, -4107891, -4107895, -4107899, -4107903?\nAnswer: -4107907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 22*g**3 - 39*g**2 - 635. Let x(y) = -175*y**3 + 315*y**2 + 5079. Let t(n) = -17*o(n) - 2*x(n). Find the first derivative of t(q) wrt q.\nAnswer: -72*q**2 + 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 11. Let p be u(-2). Let c(o) = o**2 + 5*o - 3. Let z be c(-6). Solve 0 = z*v - s + p, -5*v + s - 7 - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 17*l**3\/3 - l**2 + 26. Calculate the remainder when a(-2) is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340040 is divided by 745?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2687 = -4*k - 0*k - 2*w + 2611, -5*w - 88 = 4*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (-40)\/(-5))\/2. Let y(k) = k**2 + r + 11*k + 0*k - 9*k. Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6132071719\/228 - 26894994. Let u = o + -918\/19. Find the common denominator of u and -47\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.2 - 140.8. Let s = -148.986 - v. Round s to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * -1389.\nAnswer: -181959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5 or -2\/217?\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 387015?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 4. Give r(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 5602512?\nAnswer: -5602504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + 2 + 4 - d**3 - 4 - 3*d**2 to y*d**3 + b*d**4 + w + r*d**2 + h*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1162, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 16) in base 5?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -235009.402?\nAnswer: -235009.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.81 + -13.1. Let t = 0.87 - c. Sort 0.4, -0.5, t in descending order.\nAnswer: 0.4, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83112, 664761, 2243536, 5318001, 10386720, 17948257?\nAnswer: 28501176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 31042 = 1141342 - 92108. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 58) + 40 + -68 + -104?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((32\/8)\/(-12))\/(1\/(-6)). Solve 0 = -3*s + 5*d - 33 - v, -13 = 5*s + 3*d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 24 - 45 - u + (2 - 2 + 2*u)*(-13 + 2 - 1).\nAnswer: -25*u - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2185, 4365, 6543, 8719, 10893, 13065, 15235?\n\"Answer: -h**2 + 2183*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -100 (b) 5\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a week in seconds?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, n: 1, b: 1, m: 2, r: 1}. What is prob of sequence vnr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/33 (b) 5 (c) 0.25 (d) 8 (e) -5 (f) -128.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*h - 21901 - 6521 = 0, 2*p - 18935 = h. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*60\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 1\/2*z**2 - 2*z + 3 + 2\/3*z**3. Let w(g) = -2*g**2 - g + 2. Calculate 7*c(r) + 6*w(r).\nAnswer: 2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1.41.\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44\/3? (a) -6 (b) 1 (c) 5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = -99*b - 149*b + 558 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119158 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3738650*x**2. Let n(t) = -t. Calculate n(i(m)).\nAnswer: -3738650*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 292*d**2 + 4*d + 581. Let m be y(-146). Let w = -3 - -2. Which is the closest to w? (a) -11 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/104, 2\/1001, 1, 6 in descending order.\nAnswer: 6, 1, 2\/1001, -3\/104, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 113*c**5 - 10*c**4 + 14*c**4 + 3*c - 44 - 6*c**4 wrt c.\nAnswer: -2260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44823968 is divided by 735.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + 11011110011010?\nAnswer: 11011111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04859054 rounded to 4 decimal places?\nAnswer: -0.0486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -6*t - 6952. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 - -673?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 2 - (8 + 5 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0*u)\/u)\/u)**20\/((((u*(((u**(-1)*u)\/u)\/u*u)\/u)\/u)\/u)\/u)**(1\/85)*(u**(1\/2))**(-18)*(u**(-1\/2)\/u)\/(u**(-4)\/u) assuming u is positive.\nAnswer: u**(-927\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.014 - -9.014. Put -2\/13, -0.3, o, 1\/2, 0.7 in increasing order.\nAnswer: o, -0.3, -2\/13, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:10 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + (0 - (3 + 17)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 11*s**2 - 77 - 2\/3*s**3 + 0*s. Factor o(c).\nAnswer: -2*c*(c - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 41, 68, 105, 152?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -67. Is (-2 + v - 3 - -1253) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22067.3*-0.019.\nAnswer: -419.2787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 757, 1, -0.08, -1, 0 in increasing order.\nAnswer: -1, -0.08, 0, 1, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from riijjjejzrizijzzdje.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -10*q + 6. Let d be (-1 + -4)\/(1 - 2). Suppose 36 = 4*f + 4*c, f + q = -d*c - 1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 + 3*n - 5. Let a be s(8). Suppose q = -4 + a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -16 (b) -422 (c) -2.6 (d) -2 (e) -1\/2 (f) -4 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-170)\/56 - -3). Suppose -g = 3*g - b. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -7. Calculate the remainder when 2 - (-36 - 3 - m) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*221\/(-544) + (-2)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - -4 - (6 + 7 - (-2 - -8))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 632*b - 6. Let p(h) = -739442*h + 7018. Let x(v) = -7018*i(v) - 6*p(v). Let s(f) = -3*f**2. Give x(s(m)).\nAnswer: -3828*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, -2.145, -1640?\nAnswer: -2.145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 480 + -479.91805. What is b rounded to 3 decimal places?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5479, -10957, -16435?\n\"Answer: -5478*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x**2 + 0*x)*(10000 - 10000 - 4780*x).\nAnswer: 4780*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-32 - -39) + -4 + 183 and 341.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/(-4) - 6\/8. Suppose 2*o = 5*j - j - 68, -m*j + 2*o + 83 = 0. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9*h - 19 = 11*h, 140 = 5*q + 5*h. Suppose -3*p - 2*l = q - 90, -4*l = 5*p - 109. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a0 (base 14) to base 15.\nAnswer: -e86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 - 2*n**2 + n + 1. Let i be u(-1). Suppose -i*t - 5*s + 40 = -0*t, 4*t + s = 32. Solve -t = 3*c - 7*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -4)*-2*10. Let i = 34 - g. Suppose 8 = 18*u - i*u. Calculate the least common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -31*h**2. Let f(d) be the second derivative of -7*d**4 - 3407*d + 1. Calculate f(w(q)).\nAnswer: -80724*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22*s**4 + 13*s**3 + 305*s**2 - 6*s. Let t(y) = 2*y**4 - y**3 - y**2 + y. Let o(d) = -6*t(d) - w(d). Find the third derivative of o(z) wrt z.\nAnswer: -816*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25296, -48651, -72006, -95361?\n\"Answer: -23355*a - 1941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 44. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 4*x**2 + 3*x**2)*(-59*x - 49*x + 41*x) + (-x**2 + 2*x**2 + 3*x**2)*(-3*x + 5*x - 3*x).\nAnswer: -205*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/(r**1*r)*r**3*r**(-3) assuming r is positive.\nAnswer: r**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/((-2)\/18). Let r be -4 + 1 + (55 - p). Let n = 82 - r. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-10) - ((-41635)\/25)\/11.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 81 + 83 = -3*m, -2*m - 6 = 4*o. Is m != -17\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 1.7. Let o = -5 + q. Which is the nearest to 1? (a) 0.4 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2) + (sqrt(2) - (sqrt(128) + -1*sqrt(128))) + (sqrt(128) + 1)**2 - (sqrt(294)*1)\/(sqrt(9)\/(sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: 4*sqrt(2) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0631233 + -358.9486.\nAnswer: -358.8854767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(21*z**4 - 15*z**4 + 21*z**4) + 0*z + 5*z**4 + 16*z**4 + 2*z to j + f*z**4 + g*z**3 + m*z**2 + o*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkgxkaiikkiyxkkk. Give prob of picking 2 x and 1 k.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56381\/51 - -13110\/17. Let c = q - -334. What is the third smallest value in -1.4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + c**2 - 2*c**3 - 13*c + 4*c + 0*c**3 to the form k*c**2 + d + j*c + m*c**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 7 + 22 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -82, -220, -428, -712, -1078, -1532?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2541306 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose 8*b + 2800 = q*b - 3*m, 0 = 4*b + 5*m + 2240. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 8*m + 12. Let t be z(-6). Let x be ((-27)\/18)\/(1 - 23\/t). Let u = -36 - x. Is -4\/25 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 961564493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 959872\/3 or 319958?\nAnswer: 959872\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -12\/583, -2\/7, 0.7, 0.8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 247 = 3*q - 71, -3*w - 353790*q + 353785*q = 292 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -26. Let d be 4 + (-195)\/(-45)*(-36)\/s. Let o = d - 83. Which is the nearest to o? (a) -2\/11 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b + b + b)*(4 - 3 - 2) + b - 2*b + 0*b)*(-2 - 4 - 1).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1130771 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 86 = 25. Suppose -23157 = -118*o - 5693. Calculate the highest common divisor of o and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, 16, 80, 180, 322, 512?\n\"Answer: d**3 + 9*d**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10955\/2 - -5489. Let b(p) be the first derivative of -u*p**2 + 0*p - 25 + 7\/3*p**3. What is the second derivative of b(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1211790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1.09.\nAnswer: 0.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/12 - w. Let q(n) be the third derivative of n**5\/60 + 2*n**2. Give z(q(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 484731, 8 in decreasing order.\nAnswer: 484731, 8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 83 - (4 + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 59 times -10\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12020 (base 4) to base 7\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = 3*w, -4*w - 2 = -5*y + 44. Suppose -4*o + o + z + 17 = 0, 2*z = -y. What is q in -q**3 - 1 + 13*q**2 + 2*q + 3*q - o*q - 12*q**4 = 0?\nAnswer: -1, -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/134 and -107\/10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 4. What is the closest to 2\/3 in 1, o, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3 - sqrt(171))*-5)\/(sqrt(225)*-4)*-4.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2005*v + 1. Let h(u) = -u**2. Determine h(n(z)).\nAnswer: -4020025*z**2 - 4010*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -484*k**2 + 237006616*k - 29014533072196 = 0. Calculate k.\nAnswer: 2693257\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = 4*y. Let s(j) be the first derivative of -j**3\/3 - 3*j**2 - 5*j + 427. Determine s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 - (-18872)\/70. Suppose 0 = -6*o + 5*o + i. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3088 - 3117 - 3089 + 9294 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021 (base 3) in base 16?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 215 in -12, 0, -0.11, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517903040 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (5 - 1)) + 6 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7214387662 to the nearest integer?\nAnswer: 84938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 7. What is x(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*f + 75 = 472*f. What is the second derivative of 118 + 1512*d**2 + f*d**4 - 1512*d**2 + d wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 + 202. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.1 times -0.1\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i**2 - 46\/5*i**3 - 2\/5*i**4 + 0 + 288\/5*i = 0. What is i?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + w**2. Let x be j(2). Let v be 1*(3 - 4) - x. Suppose -v = -9*b + 7. Solve 2*n + 6 = -5*k - n, b*k - 2*n = 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7120573 less than or equal to -7120570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(672)\/sqrt(6) - (sqrt(7) - ((sqrt(14)\/sqrt(2))**2 + sqrt(7) + -1)).\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b - 0. Suppose -770 = -5*k + 6*i - 3*i, -k = -b*i - 154. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2. Let x be -16 - (-16 + -49)\/5. Determine w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(1620))*-1.\nAnswer: -18*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 974280?\nAnswer: 2922840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*a**3*d**2 - 3100732*a**2*d**3 + 2*a*d**3 - 317586732*a*d wrt a.\nAnswer: 600*a*d**2 - 6201464*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/60 + 35*s**4\/24 - 25*s**3 + 2*s**2 + 2086. Determine z, given that b(z) = 0.\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -19, -44, -81, -130?\n\"Answer: -6*k**2 + 5*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 4. Sort j, 2\/3, -12\/7 in decreasing order.\nAnswer: 2\/3, -12\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + (32 - 27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j + 3276 = -18*j. Let g = j - -527. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 1, 373, -1.5, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939*w**2 - 952*w**2 + 1891*w**2 + 8*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) 12 (c) 810 (d) 4 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahz when three letters picked without replacement from hhrahzhhzhzhzazrr.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r - 2685 - 556 = 1181 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47605 is divided by 15695.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 1. Suppose 21 = 5*q + 22*x - 23*x, -3*x = -3*q + 3. Calculate t(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1321, 1342, 1391, 1480, 1621, 1826, 2107?\n\"Answer: 2*j**3 + 2*j**2 + j + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-1 - 16) - (-119)\/((-4998)\/(-252)). What is the greatest common divisor of 228 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11123.52192 rounded to the nearest one hundred?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006278 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -214*p + 0*p**2 + 214*p - p**2. Let v(g) = 243*g - 54. Let u(d) = -245*d + 81. Let z(k) = 2*u(k) + 3*v(k). Determine x(z(r)).\nAnswer: -57121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4362010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4181 greater than -4161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w + 1. Let c(d) = -14 - 13 + d**2 + 27 - d. Determine 2*c(y) - z(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1 + 49\/(-7) + 5. Suppose 2*j - 4*i - 56 = q, 0 = -8*j + 3*j + 2*i + 148. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5 + 4*q - 5*q + 3. Let k be l(7). Let v = 211\/15 - 77\/5. Which is the second biggest value? (a) 1\/2 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/27166469 and 65\/59272296?\nAnswer: 651995256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*a - 340*a + 11 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2694938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 2. Let f = 22.4 + -21. Let q = f + -2.4. Is s <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x - 5*x - 4*x + 19*x to j*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -99438.9 to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - 6*g**2 - 4*g + 5. Let j be x(-4). Suppose u - 345 = -4*u. Let f = j - u. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(1920))\/sqrt(6) + (sqrt(25) + sqrt(25)*-1)\/sqrt(5) + -1.\nAnswer: -8*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.2. Let q = 88 - 85. Sort q, w, 0.1 in decreasing order.\nAnswer: q, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 + 1655*f - 124200 = 0. Calculate f.\nAnswer: 115, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3361 - 1138 + 5258 - 8359*f**4 wrt f.\nAnswer: -33436*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1345\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -11*n - 2*k - 6, k - 42 = 9*n - 0*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3127379 divided by 23\nAnswer: -135973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192084635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.62 and -0.02.\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let i = 1 + f. Which is the nearest to -0.1? (a) -0.4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 821, 822, 823, 824, 825?\n\"Answer: g + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -16*c + 23 + 73, -3*c = -2*p + 15. Let i = -118 + 1536\/13. Factor -2\/13*u**c - 6\/13*u + i + 6\/13*u**2.\nAnswer: -2*(u - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475*a = -1472*a + 27 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -23, 0, -1\/2, -0.26?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7) - (33\/(-3) - (-575)\/161)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -793, -1194, -1597, -2002, -2409, -2818?\nAnswer: -3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -85348?\nAnswer: -85362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 + s + 10. Let c be u(10). Let b = -69 - c. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*l**2*v - 3*l*v + 36343*l - 7393918*v wrt l.\nAnswer: 44*l*v - 3*v + 36343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 9) + (-18 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 14*n**2 + 44*n - 95. Determine y(19).\nAnswer: 2546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (-7 - (22 - -26)) + (-15 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 474.87 + -470. Let s = q + 14.91. Round s to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 250911379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -5236632.\nAnswer: -57602952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-45))\/((-2)\/(-10))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 3:27 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*b = -120*b + 5*j - 5, -j = -19*b - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4 + 1. Let g(f) = a - 3 + f**2 + 5 + f**3. Give g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.661 + -0.418. Let j = y + 0.057. Which is the third biggest value? (a) -5 (b) -0.4 (c) 1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 = x, -2*t + 5*x = 15 - 32. Solve -2*p + 4 = 5*a, 3*a - t = -p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/20*170\/(-153).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*u = -2*j - 1369, -2*j + 878 = 6*u. What is the least common multiple of 205 and j?\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 170 + 65 + 93*o + 52 as s + j*o and give j.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171.474ml in litres?\nAnswer: 3.171474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 + -0.505. Let l = c + -0.405. Let v = 1.52 + l. What is v rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/64)\/((3\/1)\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466304 is divided by 214?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646682 plus 6.44?\nAnswer: 646688.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqqqmzzzmzmqzq. What is prob of sequence zqz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/7)*y*y**(2\/37)*y*(y**12)**(17\/4) assuming y is positive.\nAnswer: y**(13889\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g - 116 = -5*s, 2*s = -3*g + 119. Let x = -4 + 9. Suppose x*c - 25 = s. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/9)\/((m*m**(-9\/4))\/m) assuming m is positive.\nAnswer: m**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 444*q - 23536. Give g(53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 175\/(-4) - (-6)\/8. Let q = 23 + o. Let f = -20 - q. Solve -c + 3 = -f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = 3*r, 0 = s - 5*s + 5*r + 22. Suppose n + 480 = s*i, -10*i + 15*i + 4*n - 783 = 0. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -5320135.\nAnswer: -1\/5320135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 4 - 34 + 20*y**3 + 32 in the form f + z*y**2 + n*y + r*y**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2*l - 4. Let w be m(4). Let p(o) = -12*o**3 + o**2 - 2*o + 2. Let y be p(2). Let q = 121 + y. What is the greatest common factor of w and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-4\/3)\/r)*r**(3\/7)*r)\/(r**(2\/3)\/(r\/(r\/r**(-2))*r)))**(12\/11) assuming r is positive.\nAnswer: r**(260\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 92276\nAnswer: -184552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/47531 and -109\/39336.\nAnswer: 1140744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.8418 and -119.57154?\nAnswer: 120.41334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*y**4 + 77*y**4 - 56*y**3 + 732 - 31*y**4 - 44*y**4 + 0*y**2 - y**2 wrt y.\nAnswer: -1320*y - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -69, 2564, 10 in decreasing order.\nAnswer: 2564, 10, 1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Let f = -16 - -8. Let w = f + 6. Which is the second smallest value? (a) i (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-25 - (-4 - -5)) - 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3152033 is divided by 14593.\nAnswer: 14538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1605974 = -2*o, -4*g - 7*o + 1367675 = -1844261. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 137*s + 137*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2383*p + 58678. Calculate v(-25).\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1630171184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*2 + sqrt(192))*3 + 3*(sqrt(192) + -1 + sqrt(192)))**2.\nAnswer: -720*sqrt(3) + 43209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(440)*-1 - sqrt(440))\/sqrt(8))\/(-2*sqrt(20)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 481*b**8\/168 - 56*b**5\/5 + 38*b**2. Find the third derivative of z(m) wrt m.\nAnswer: 57720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*z**2 + 1 - 108*z + 222*z - 112*z - z**3 in the form f + x*z**3 + a*z + r*z**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 10*j**2 + 5*j - 13. Let x be m(-9). Suppose x = 4*p - 13. Calculate the lowest common multiple of 10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 7*g - 2. Let l be j(3). Suppose -4*q + l = q. What is the derivative of -3*b**2 + 1 + 0 + 2*b**q wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11554*p + 5819?\nAnswer: -11554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 3*b + 88 - 44 + (1 + 1 + 0)*(-b + 5*b - 3*b).\nAnswer: -b + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4171*i = -3158*i - 1246*i - 650*i - 774900 for i.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300100 - -10?\nAnswer: 300110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126286335, -252572668, -378859001?\nAnswer: -505145334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 16. Let q = -13 + d. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1386 = 242. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492132517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000086457588 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -2\/17, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**3 + 125*n**2 - 340*n + 220 = 0. Calculate n.\nAnswer: 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 20*p - 18. Let s be 4 - (p + (2 - 1) + 1). Solve 0 = 2*v - 5*x + s, -x - 9 = -4*v + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 6:59 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 + l**2 - 1169 + 503.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 minutes after 11:36 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 91*b + 1252. What is s(-74)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.3 and 278.\nAnswer: -917.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10801119 < -10801120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 12*z**3\/7 + 22*z**2\/7 + 12*z\/7.\nAnswer: 2*z*(z + 1)*(z + 2)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.97952 weeks in hours?\nAnswer: 836.55936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (58\/(-5))\/(5\/(-50))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/2893 + 17372\/20251. Let s = 9542\/7 - 1361. Factor -3\/7*i**5 + 0 + 3*i**2 - 27\/7*i**3 + s*i**4 - k*i.\nAnswer: -3*i*(i - 2)*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1320 and 31\/2178?\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -o - l, -217*o + 24 = -220*o + 6*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6120 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 248\/(-93)*(-6)\/(-110). Is 1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -1\/4*a**4 - 3\/2*a**2 + 2\/3*a**3 + 17*a + 0. Calculate m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/9 - -4)*45. Let t be (-1 - m\/(-12))*(2 - -18). Solve 0 = a + t - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 5 = -21. Let w(u) = -5*u**y - u**2 + 4 - u**3 - u**2 - 10. Suppose -c = 3*c + 28. Give w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 113. Let y = 13.9 - t. Is -13 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 3*q - 13. Let l be z(-3). Is 651\/155*1*l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 5*x + 21 - 138*x**2 - 18*x - 754*x**2.\nAnswer: -892*x**2 - x + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l - 155 + 164. Which is smaller: l or -1\/1971?\nAnswer: -1\/1971","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxxfxxfffxff. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*g - 66, -719*g + 718*g - 5*p - 4 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -263. Let r = -8 - -6. What is the nearest to r in 0.1, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-1) + (-7 - -3). Suppose 3*y + a - 11 = 0, -2*y + j*y - a = 1. Solve o + 1 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311 - 111303231?\nAnswer: -111310202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 3*s + 36, 5*s - 107 = -y - 55 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.1, 22\/193?\nAnswer: 22\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 4*j + 3*j**3 - 7*j**3 + 6*j**3. Let m(t) = -t**3 - 2*t. Let w be (1\/(-2))\/((-3)\/(-1218)). Let d = -207 - w. Calculate d*m(h) - 3*p(h).\nAnswer: -2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 32*m + 133. Let d be k(5). Let p be -2*(-3)\/((-3)\/2). Suppose 47*g - 27 = 52*g - 3*n, 5*n - 17 = -g. Sort d, p, -5, g.\nAnswer: -5, p, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6 + 18 = 0. Let b(f) be the third derivative of -f**8\/20160 + f**6\/360 + f**5\/60 + f**2. Let l(m) be the third derivative of b(m). What is l(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-28)\/16)\/7). Suppose 8 = 2*b - z. Is (-2)\/b*(14 + -1073) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphhphhph. What is prob of sequence phhp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 4*f + 36. Let n be v(-8). Let u be ((-54)\/12)\/((-2)\/n). Suppose -6*w = 2*t - u*w - 3113, 5*w - 7820 = -5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -0. Let v(m) = -m**3 - 3*m**2 - 2*m. Let d be v(o). Suppose 3*a + d*a = 9. Solve -r - 9 = 3*u, -a*r - 2*u - 8 = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/13507 and -58\/1105.\nAnswer: 1148095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:05 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4745)\/(-143) + 4\/(-22). Let k = x - 16. Calculate the remainder when 82 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9024\/1222 + -2*3\/36*42.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**5\/20 + w**4\/12 - w**3\/3 - w**2\/2 + 2*w. Let b be 5*1*4\/10. Suppose -3*y = p - 8, -5*y - b*p = 2*p - 18. What is j(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 4 = -32 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(35\/(-100))*(41\/(-492))\/((-28)\/40). Let -2\/21*u**3 - 176\/21*u - 8 - o*u**2 = 0. What is u?\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 225 - 45 = 0. Solve -24 + m = 7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1 - -2) + (-148)\/(-148). Let t(y) be the first derivative of -13 - 1\/2*y**2 + i*y. Let v(f) = -12*f. Calculate t(v(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Product of 269677.16 and 3.\nAnswer: 809031.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d - 14*d - 2*d + 58*d**4 + 6*d - 1 wrt d?\nAnswer: 696*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 - 57.72. Let p = y + 73. What is p rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398330409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrorxoxbbbhrhrobrx. Give prob of picking 2 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 315 - 310. Solve 5*a + r*y = 4*y - 14, 2*y = -a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:12 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3474 bigger than -3474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930685352 to the nearest integer?\nAnswer: 30507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -38. Let w = z - 16. Suppose 4*n - 716 = 4*q, 0 = -w*q - 4*q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.12, -0.2, 1\/7, 5123.\nAnswer: -0.4, -0.2, 0.12, 1\/7, 5123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/111)\/(11*22\/46464).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -106, -207, -302, -391, -474, -551, -622?\n\"Answer: 3*w**2 - 110*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-30)*370\/(-8) and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*d + 5 = 0, -534*d + 536*d - 10 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -360*v**5 - 4508*v**4 + 128796*v**3 + 68584*v**2 - 4272*v - 2912 = 0.\nAnswer: -26, -1\/2, -2\/9, 1\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16850*h**3 + 30451*h**3 + 14000*h**3.\nAnswer: 61301*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/2530856 and -125\/4572.\nAnswer: 22777704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*y**2 - 14771*m**2 - 22*m*y**2 + 486*m wrt m.\nAnswer: -2*y**2 - 29542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -232?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*((-3 + 2 - 1)*(3 - 3 - 3*i) - 10*i - 2*i + 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b15 (base 15) in base 12?\nAnswer: -1509b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**2 - g + 1. Let c be s(-2). Let a be (-3 + c)*1\/4. Suppose -3*l + 13 = -2*i, 2 - a = -l + i. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 9*l**5\/5 + 11*l**4\/24 - 5*l**3\/6 - l**2 + 177*l. What is the second derivative of a(h) wrt h?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*b - 25, -2*b - 3*o = -4*b + 19. Solve 0 = -3*f - 12, -b*z = 5*f - 7 + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 102*n - 82*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9817 + 9819. What is the smallest value in -3, f, 3.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by -246.\nAnswer: -217\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33406930 or 133627719\/4?\nAnswer: 133627719\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)\/x**(-5))\/(x**(-1\/5)\/x*x*(x\/(x**(-1\/3)*x*x))\/x)*(x\/((x**2*x)\/x))\/(x**(2\/11)\/x*x)*(x\/x**(2\/5))**7 assuming x is positive.\nAnswer: x**(1796\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 + 3 - (7 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - g**2 + 5. Let q be (-3)\/9 - (-70)\/(-6). Let i(n) = -10*n**3 - 2*n**2 + 12. Let j(o) = q*k(o) + 5*i(o). Factor j(p).\nAnswer: -2*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/3 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -109.9, 0, -0.4, -4, -2, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {r: 2, s: 5, h: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*h - 24 = 0, -b + 17 + 3 = 4*h. What is the second derivative of -3 + 10*l + 280*l**3 - 283*l**3 + 6*l**b + 3 + 1 wrt l?\nAnswer: 72*l**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -22\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*y**4 - 2*s**3*y**2 + s**3 + 495*s**2*y**5 - 350*y**2 wrt y.\nAnswer: -48*s**3*y + 29700*s**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/24 - 91*r**3\/12 - 23*r**2 - 243*r. Suppose q(i) = 0. What is i?\nAnswer: -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 - -0.1. Let g = -7 + k. Let j = 0 - g. Which is the nearest to j? (a) 1 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + k - 11, 4*u + 5*k - 55 = -6. Suppose u*s - 3*s = 0. Let x = 38272\/184701 - 2\/6369. Is x less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - b - 1. Let y(d) = -1. Let o be ((-8)\/(-12))\/(4\/(-6)). Let g(i) = o*y(i) + r(i). What is the second derivative of g(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 0 + -19 + 12. Let o be 0\/2 + (-660)\/i. Suppose -4*f + 2*c + 82 = 0, c - o = -3*f - 2. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/2450*15*5)\/((-24)\/28).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600 - 193*o**3 - 600.\nAnswer: -193*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 33*w**2 + 19*w - 11. Let c(y) = y + 17. Let h be c(-14). Suppose h*a + 23 = -4. Is u(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -25, 4, -1, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 439265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162.8 + -157.8. Which is the second biggest value? (a) -11 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -17 - 1) + -185. Which is the third biggest value? (a) w (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001212 - 110112?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 407 (b) 49\/128 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 3. Let o(v) = -v**2 + 5*v - 6. Let g be o(5). Let a(m) = -3*m - 9. Let z be a(g). What is the highest common divisor of b and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18650267, -18650266, -18650265?\nAnswer: -18650264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061114373 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149359863?\nAnswer: 3, 49786621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:19 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 8 = 0. Sort 0, -2, q.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*p**4 - 2*b**2*p + 3*b**2 + 12*b*p**4 + 3*b*p**2 wrt p?\nAnswer: -144*b**2*p + 288*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 42*f - 40. Let t(d) = 37*d - 47. Let c(y) = 6*t(y) - 5*x(y). Give c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 2 = 0. Suppose 3*o + 4 = 4*o. Let i be ((-320)\/8)\/(-8) + -10. Sort f, o, i, -1.\nAnswer: i, -1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 0 + 0 - 2*c. Suppose 0 = -4*m + 20. Let k(z) = m - 3*z - 5. What is p(k(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14908782?\nAnswer: 2, 3, 7, 354971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3111dd (base 15) to base 13\nAnswer: 638917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1809 - -7235\/4. Sort -5, -0.1, 2, g, -1 in decreasing order.\nAnswer: 2, -0.1, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*i - 2, 4*i - 7*n = -3*n - 4. Suppose 5*w - 2*w - 159 = i. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 127 = -9*u + h, 5*u = -h + 325. What is the least common multiple of 88 and u?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -6*c. Suppose -189*o + 194*o - 25 = c. Solve r = 8 - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 11)\/(-2 + -36). Let x = -68.19 + 1.19. Let m = -67.4 - x. Put -5, l, 1, m in increasing order.\nAnswer: -5, m, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71802 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + m - 54 = 3*m - 4*m, -14*l = 50*m - 47*m - 101 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021305616 rounded to 6 dps?\nAnswer: -0.002131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1780 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -51, 701, 5, 3.\nAnswer: -51, -4, 3, 5, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791169005.\nAnswer: 3, 5, 2213, 53959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2387, -2766, -3143, -3518, -3891?\nAnswer: -4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.4 - -92.4. Let b = 82 - k. Let r = 6 + -1. What is the smallest value in 3, b, 2\/5, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o + 0*o - 3*o)*(-2*o**2 + o**2 + 3*o**2) + (1 - 2*o - 1)*(434*o - 434*o - 37*o**2) as b*o**3 + i*o**2 + t + k*o and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + -5 - -28)) + 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 26)*(5*q + 2 - 2 + (3*q + 0*q - q)*(1 + 0 + 0)) to the form y*q + n and give y.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdv when three letters picked without replacement from dkvddraaadrvarra.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644 (base 10) to base 14.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31897192*s**5 + 2518*s**2 + 697.\nAnswer: 1913831520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 937259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -130. Let y = 75 - r. Let p be 0 - -2*(-1)\/(-24). What is the third biggest value in 1, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.0659 - -6969270661.\nAnswer: 6969270656.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*i - 12089414 - 4041304 = 72*i. Calculate the greatest common divisor of i and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - l - 109*l**2 + 4*l - 160*l**2.\nAnswer: -269*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000093233 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9031557567183 - -5\nAnswer: 9031557567188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**4 + 2*z**4 + 2*z**4)*(4 - 4 - 4*z) + (-z**4 + 2*z**4 - 2*z**4)*(1 + z - 1) + 44*z**5 + 18*z**5 + 17*z**5.\nAnswer: 86*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 137909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 73*n**2 - 30*n + 14. List the prime factors of s(4).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, k: 5}. What is prob of sequence kk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -13122?\nAnswer: -13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28304893 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - v = 0, 3*w + 3*v = 12. Suppose -3*s - 54 = w*c - 19, 3*c + 30 = 3*s. Let x = 53 + c. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/((-14)\/(-5)). Which is the second smallest value? (a) j (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -37525762?\nAnswer: 37525755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4097937119 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 754 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2654 and 255224564?\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4800 - 1)\/((-74)\/(-370)). Suppose -2*h + 5*t + 12035 = 0, 4*h + w = 8*h + 5*t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/3 (b) 6 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 5*s - 35, -s = 5*m - 9*m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -32\/309 in increasing order.\nAnswer: -3, -32\/309, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*t**2 + 244*t.\nAnswer: -640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9360 at least 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Suppose z*r - 3*r = 15. Let v = -18 + 26. What is the remainder when r is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(-3*f**3 + 0*f**3 + 5*f**3) - 31*f**3 - 38*f**3 + 26*f**3 to the form j + p*f**3 + c*f**2 + h*f and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3308*k + 57777 + 74543 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 38 = -2*f, -4*f + 2*n - n = -88. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 7\/6*l**3 - 1\/12*l**4 + 0*l - 6*l**2 + 0. What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*t + 84*t - 92 = -81*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/13)\/(f\/((f*f*f**2*f)\/f)))\/(f\/(f\/(f\/f**(-2\/3))))**25 assuming f is positive.\nAnswer: f**(-1517\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + x + (-3 + 6 - 2)*(8 - 8 + 5*x) in the form n + w*x and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 5, 1, 7.\nAnswer: 0, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -64\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**6 + 2\/105*h**5 - 1\/735*h**7 + 0*h**3 + 0*h + 0*h**4 + 0 - h**2. Factor u(s).\nAnswer: -2*s**2*(s - 2)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28164.98395 + -13.\nAnswer: 28151.98395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 4*y - 11. Let u be o(6). Let w(r) = 16 - 4*r + 0*r - u. Calculate the smallest common multiple of 5 and w(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) + sqrt(512) + sqrt(512)*3*-3 + (sqrt(512) - (sqrt(512) + -2)) + -1 + 1)*-1)**2.\nAnswer: -448*sqrt(2) + 25092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - r)*(3 + 1 - 2)*(-2*r + 0 + 0).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11000003122 - 13?\nAnswer: -11000003201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 49368*g - 6*g**2 + 7*g**2 - 3591*g + 6746*g.\nAnswer: 2*g**3 + g**2 + 52523*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t - 255. Calculate the smallest common multiple of b(15) and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let l(k) = -15*k**2 + 20*k - 15. Let i(g) = 10*j(g) + l(g). Factor i(v).\nAnswer: -5*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -0.037 (b) -0.8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/30 - n**4\/24 - 42*n**2. Suppose 4*v - 1 = 5*v. Give m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -59. Let s(m) = 3*m**2 + 2*m + 8. What are the prime factors of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 165 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 9*m + 9. Let v be d(6). Let x = -30 + 30. What is the units digit of x\/v + 25\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.0755 meters in kilometers?\nAnswer: 0.6720755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 1 = 3*p, 3*p = 3*i + 3. Let t = p - -5. Suppose -2*u + 20 = 2*g + t*g, 3*u - g = 44. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmp when three letters picked without replacement from cmmmmqmcyyqpmmymdm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 10*d - 13. Is 28 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/(3\/75). Let s = i + -7. Suppose -s*l = l. Which is smaller: l or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(300) + 2*sqrt(300))\/sqrt(10))\/(sqrt(10) - sqrt(90)*1))**2*2 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + -2 + sqrt(833) + 0)**2 + 6*(1*(sqrt(833) - (2*sqrt(833) - sqrt(833))))**2)*2.\nAnswer: 84*sqrt(17) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 142.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/17563 and 30\/8351.\nAnswer: 20952659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Let y be (15 + -8)*(-92)\/(-14). Find the third derivative of -y*s**6 + 22*s**6 + 23*s**6 + 16*s**z wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 15\/40*(-7)\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 3*j. Let w = 13 + -24. Let g = -3 - w. Calculate the least common multiple of s(-2) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/6 - 53*a**3\/6 - 11*a**2 - a + 1198. Give b(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*s, 5*y - 243*s + 249*s = -23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -566611 and -566605 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(720) + 0 + (-2 + sqrt(720))*6))**2 + (6*sqrt(720)*-2)**2 + (-2 + 2*sqrt(720))**2 + 2 + 1.\nAnswer: -21264*sqrt(5) + 425851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564764895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.46 * 0.03.\nAnswer: 0.9738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16671057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16502651 (base 7) in base 5?\nAnswer: -403130423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:11 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -0.344885?\nAnswer: 0.244885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*j + 47, -2*n + j = 3*j + 22. Let w(d) = 4*d + 5. Let v be w(n). Let o = v - -49. What is the highest common factor of 112 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -6*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -23. Suppose -z = -4*c - 5. Is 2\/305 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*s = 62563 - 62591, 0 = 6*s - 24 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 18*t = -w + 10, 4*t = -3*w - 2. Let p be -3*(-1072)\/w*4\/12. Calculate the highest common divisor of p and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -74 (c) -4 (d) -22\/5 (e) -5\/153 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*k = 470*k - 120 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12655872.\nAnswer: 2, 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.719410208 less than 1.67?\nAnswer: -68.049410208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 2 u when four letters picked without replacement from {h: 4, b: 6, u: 8, v: 1, r: 1}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -437\/7. Let p = 0.08 - 3.08. Let i = -2.8 - p. What is the closest to 2 in i, d, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, g: 1, x: 7}. Give prob of sequence ee.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 - 5*m**3\/3 - m**2 - 7*m - 2. Let d be l(-5). What is the second derivative of 9*h**d + 2*h - 5*h**3 + h**3 wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11203 and -69\/136?\nAnswer: 89624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*a**2 - 11*a**2 - 7 + 18*a**2 wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996619 is divided by 487?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 - 10*p**3 - 124*p**2\/3 - 32*p.\nAnswer: -2*p*(p + 1)*(p + 6)*(p + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -121. Suppose -24*a - 4464 = -x*a. List the prime factors of a.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146553.6 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -t + 10, -k = 2*t - 13 - 1. Let x(b) = b**3 - 5*b**2 - 6*b - 4. Give x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13016307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2*k**2 - k**2)*(-6*k**2 + 8*k**2 + 9*k**2) + (2*k**3 - k**3 - 2*k**3)*(0*k - 2*k + 4*k) + 0*k**2 + 0*k**2 + k**4.\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2166 and 10587484.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.243, 0.2, 1, 3, 2, 0.1 in descending order.\nAnswer: 3, 2, 1, 0.243, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7e6d (base 16) to base 5\nAnswer: -2013430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(320\/(-18)))\/((-3)\/(-5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/2 (b) 1\/4 (c) 0.2 (d) 4\/307 (e) -1\/6 (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*m - 2*v + 6*v, 9 = 3*m + v. Let g = 47.8 - 48. Which is the biggest value? (a) g (b) m (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 53050 (c) 1 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 24. Let b be ((-20)\/(-45))\/(4\/6). Put w, b, -1, -4\/3 in decreasing order.\nAnswer: w, b, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*(a**(-4\/11)*a)\/a*a*a)\/a)\/(a*a\/a**(-2)*a))\/(a*a**(-1))**13 assuming a is positive.\nAnswer: a**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -13309 and -13310 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 46, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025760865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -41. Find the second derivative of -136*b**2 + g*b**3 + 136*b**2 + b wrt b.\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1 - 10 - (-18 - -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 5 (b) 5\/8 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 - 9 - (18 - 27).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3 + 55. Suppose v = 5*g - 14. Suppose -b = 3*p - 61 + g, 4*b = -4*p + 60. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:42 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*f*j - 221*f - 27*j - 15 with respect to j.\nAnswer: 76*f - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 76222095 = 5*c, -4*c - 2*v + 0*v = -60977676. Suppose -844419 = -3*d - c. What is d rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/(70\/28*-1*(-84)\/15) + -9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(2\/5)*j)\/j)\/(j\/j**2))\/(j*j**(-2))**(-6))**(2\/3) assuming j is positive.\nAnswer: j**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2803 + 97?\nAnswer: 289a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -173*d**5\/10 - 29*d**3\/3 + 199*d. Find the second derivative of r(n) wrt n.\nAnswer: -2076*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/n*n**(-1\/4)*((n**(-2\/3)\/n*n)\/n)**(-1\/15) assuming n is positive.\nAnswer: n**(-41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p + 28*p + 47*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 4*f**4 - 4*f**4 - 4*f**4 - 3 + 2*f**4 in the form c*f**2 + i*f**3 + s + r*f + q*f**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f - 28 = 43*f. What is the derivative of f*r**3 - 80 + 36*r**3 - 39*r**3 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*g - 27, -5*g - 1 + 12 = -m. Let p = -2667 - -2677. What is the smallest common multiple of p and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60940 equal to -60947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 4695, 16213, 38729, 75909, 131419, 208925?\nAnswer: 312093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 7, c: 1, j: 1, l: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -144, -323, -574?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -254658626 in descending order.\nAnswer: 0, -1, -254658626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30193, 60510, 90827, 121150, 151485, 181838, 212215, 242622?\n\"Answer: d**3 - 6*d**2 + 30328*d - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + -2)*-2 + 3.\nAnswer: -48*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p + 8. Let c be y(-6). Calculate the common denominator of 30 + -19 - 1159\/305 and (-2)\/3*183\/c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -4)\/((-2)\/6). Let h = o - -5. Suppose h*k = 6*k. Solve k = -m + 2*x + 3, 7*m + x - 3 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 15 + 9 - 17*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71031 - 143292 + 72261 + 3*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59231.5 + -59231. Let j be ((-1)\/9)\/((-4)\/6). Put j, 1, m, -0.002 in increasing order.\nAnswer: -0.002, j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*d - 5, q - 4 = -5*d - 18. Let b be 12\/18 - 58\/d. Suppose -25 = 2*i - i - 5*t, b = 3*i + 4*t. Solve 3*h + 12 = 2*z - h, i = 3*z + 2*h + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 389929126 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637))**2 + -4)*2 + -1.\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 948*z\/5 + 112338\/5.\nAnswer: 2*(z + 237)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7417830888, -7417830891, -7417830904, -7417830933, -7417830984?\n\"Answer: -b**3 + b**2 + b - 7417830889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -166, -360, -630, -976, -1398?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 18. Let w be o(5). Solve w*t + 0 = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 5, 15.3, 3626, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21392, 21505, 21616, 21725, 21832, 21937?\n\"Answer: -b**2 + 116*b + 21277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6252319.\nAnswer: 283, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = -p - 2*r, 5*r + 5 = 0. Suppose p = -s + 51. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*w + 3, g + 7 = 3*w + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 50*a. Let j(x) = 3*x**2 + 2. Calculate j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1. Let h(f) = -16*f. Let n(j) = -h(j) + 2*x(j). Let o be n(2). What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259587147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6480) + 0.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {g: 2, j: 2, o: 1, v: 8, a: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/3)\/(4\/(-6)). Let b = -4 + w. Is (110 - -1) + 2*b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*i - 2*i - 14, 2*z + 2*i + 6 = 0. Suppose 2*k - 3*v - 251 = -3*k, 0 = z*k - 3*v - 104. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*s - 206, 0 = 4*s + 3*x - 2*x + 390. Let c be s\/(-6) - 2\/6. Suppose g - 17 = 2*p + 127, -2*p = 0. What is the highest common factor of c and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and ((-4)\/6 - 4\/24*59)*-86.\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359*f + 306?\nAnswer: 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, 33, -4, 165, -0.2, -81?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(19) + sqrt(19) + ((sqrt(304) - sqrt(304)*-3)**2 - sqrt(19)).\nAnswer: sqrt(19) + 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42056*a**4 + 15*a**3 + 5*a - 111676?\nAnswer: -504672*a**2 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4180445 rounded to 2 decimal places?\nAnswer: 40.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {k: 1, d: 2, x: 2, j: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.481512294 to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttlttgllttgl. What is prob of sequence lt?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3 - 140\/147.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16138 = -3*v, -2*v - 171*q = -167*q - 10742. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130233.113 - 130097. Let l = 93 + 43. Let w = l - f. Round w to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168\/37 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2) + 0 + (-12)\/12. What is the nearest to -1 in 4, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppppppmpppmpmmp. Give prob of picking 2 p.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 21. Let p be x(-10). Suppose -z = -2*y - 35, -z + 5*y = -p - 37. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k - 357. Let w be j(-46). Let o(q) = -10*q**2 + 5*q. Let y(d) = 29*d**2 - 14*d. What is w*o(a) + 4*y(a)?\nAnswer: 6*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378\/168*4*1 and 161.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 6, 24, 48, 78?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + -14. Let f = -22 - k. Let g(n) = -f - 22 + 52 + 2*n. Let s(l) = 45*l**2. Give s(g(v)).\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**2 + 2662*w - 7532.\nAnswer: 2*(w + 269)*(5*w - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/126 and 95\/20978?\nAnswer: 1321614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 4\/5*q**2 - 1\/10*q**4 + 1\/50*q**5 + 1 + 0*q**3 - 12*q. Factor c(f).\nAnswer: 2*(f - 2)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -553.\nAnswer: -110.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 + 3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**2 + 3. Let m(k) = -18*k**2. Determine o(m(a)).\nAnswer: -2916*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + g - 2. Let l(p) = 5 - 1 + 2*p**2 - 3. Let z = -222 + 434. Let y = -209 + z. What is y*l(j) + 2*x(j)?\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/60 + m**3\/6 - 1861*m**2 - 2. Let v(i) = 3*i**3 + 3*i**2 - 4. Let t = 24 + -27. What is t*n(l) - v(l)?\nAnswer: -3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -11. Let c = -5 - a. Let f = 207\/13 + -16. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-8) + -4)\/((-2)\/12). Suppose 13 = -4*w - 5*z, -3*w - z = -6 + 2. What is x in -4 + 12*x + 24*x**w + 5 + 7 + 4*x**v - 48*x**2 = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 1 + 921293*r**2 + 3 - 2 - 923255*r**2 + 1959*r.\nAnswer: 3*r*(r - 653)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:23 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/13)*c\/((c**(-6)\/c)\/c))\/((c*c**(-3\/16))\/(c**(-2\/23)*c)) assuming c is positive.\nAnswer: c**(44641\/4784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 2 = -102. Let d be ((-21)\/(-7))\/((-6)\/4). Let x(f) = f - 1. Let u(z) = 7*z**2 - 4*z - 5*z**2 + 0 + 2 + 2*z. Calculate d*u(r) + j*x(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135922, -2271806, -3407690, -4543574, -5679458, -6815342?\nAnswer: -7951226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2 + 440*h - 24. What is the tens digit of j(-87)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-16)\/(-528)*18\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60181*g**5 + 4*g**2 - 19716*g wrt g?\nAnswer: -3610860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/180 - p**5\/15 + 11*p**4\/36 - 2*p**3\/3 + 4*p**2. Find a such that x(a) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*z - 63577 - 62441 + 12766 = 0 for z.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000184654006 to six dps.\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus 2.02?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i + 183*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -246 + 214 - (-9 + -4 - -5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*x + 16 + 7, 3*y = 2*x + 6. Let m(u) = -u**3 + 4*u**2 - 4*u + 1. Determine m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 792 and 14816472?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/48)\/((-98)\/280)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/12 + 82*c**2. Let k(o) be the third derivative of 1\/20*o**5 + 0*o**3 + 0 + o**2 + 0*o + 0*o**4. Give k(p(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/4*((-12)\/12)\/(2\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 5125.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -j - 5, -j + 40585*c - 40586*c - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 10:42 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3823\/8 + -478. What is the second smallest value in w, -3, 2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-13\/2))**(-46) assuming u is positive.\nAnswer: u**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/195 + 2\/5. What is the third biggest value in l, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let s(t) = -7 + 4 + t + f. Let m = -17 - -11. Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 7*v - 5. Let h be k(6). Let d = -55 + 62. What is the remainder when (20 - 0) + h*-2 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2096917 minus -2153?\nAnswer: 2153.2096917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 20 - (-14 + 31 + 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 60, 0, 3 in descending order.\nAnswer: 60, 6, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1112 - 11?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -16570\nAnswer: 4\/8285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.6, -1, 5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*y = -296*y + 392293. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*u + 3*f, -2*f - 2832 = 5*u - 2845 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = 0, -2*j + 3*j = -5*b + 9. Put -4, b, 5 in ascending order.\nAnswer: -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q**0\/q)**34*(q*q\/(q**(-4)\/q)*q**(2\/9))\/(((q**1*q)\/q)\/q**(3\/5)) assuming q is positive.\nAnswer: q**(-203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**2 - 7 + 7 - 9*g wrt g?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -3)*183\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 31*f**2 - 42*f**2 - f**2 + 159*f**2. Let o(z) = 21*z. Determine u(o(x)).\nAnswer: 64827*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 0\/2 - -6. Let m(j) = j**3 - 6*j**2 + 4*j + 5. Let k be m(a). Suppose -g = -0*l - 4*l + 9, -4*l + 4*g = -24. Solve d = -k*d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 13, -0.06, -1\/2, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = j + 6, 0 = 5*i - 2*j - 25. Suppose -30 + i = 5*x, 4*s - 276 = 4*x. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299514, 598986, 898420, 1197816, 1497174, 1796494?\nAnswer: 2095776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-8)*(3 - -3). Let m = -3473 - -72949\/21. Let d = m + -3\/7. Which is the second smallest value? (a) d (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10085 - -171443\/17. Which is the smallest value? (a) 10\/9 (b) f (c) -0.1 (d) -3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1311302?\nAnswer: 1311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*s + 6020, 11*l + 3*s - 4521 = 8*l. Let v = 1549 - l. Suppose -n = 3 - 26. Calculate the remainder when v is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let y be 54\/(-24) - -7 - 7\/(-28). What is the nearest to 0.4 in y, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -9*i - 26. Suppose 3*z - 1378 = -4*h, -5*z - h + 2315 = i*h. What is the smallest common multiple of 22 and z?\nAnswer: 5126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 28. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(42\/49).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/16523941 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 38*s**2 + 35*s + 179. Calculate o(39).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -224\/1391 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 5. Solve -n - 4 + r = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzz when three letters picked without replacement from {z: 9, b: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:09 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*m**2 + 267990*m + 693468261?\nAnswer: -124*m + 267990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115758 divided by -57879?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k. Let j be h(-1). Let z be j\/(-7) - 2\/7. Suppose z*r = -3*r + 35. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v + 43. Let o be f(-14). Let t = -72 - o. Let k(x) = -2*x + 9*x + 24 - 26. What is k(t)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22444985\/253 + 88715. Let z = -4\/23 - j. Which is the third smallest value? (a) z (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2429505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -179ba (base 13) to base 16\nAnswer: -b22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914720 is divided by 91470?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - u - 8 = 2*u, -2*l + 2*u - 5 + 13 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m - 230 - 850 = -66*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56426, -113355, -170284, -227213?\n\"Answer: -56929*k + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 13}. What is prob of picking 1 m and 2 v?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.786829 litres?\nAnswer: 6786.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49155079 and 0.1.\nAnswer: -4915507.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 25*p = -i - 28*p + 2, i = 10*p + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/6 - (9 + (26 - 28)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 40*y**2 + 277*y - 18. Let s be o(-7). Sort -5, 2, -6, -13, s in decreasing order.\nAnswer: s, 2, -5, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.3. Let y = 127 + -455. Let h = -330 - y. Which is the third smallest value? (a) 0.19 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 10*n**3 + 2 + 3 + 75 - 2.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 53 + -56 + (-1 - 1 - -6). Let j = 24 + -17. Which is the smallest value? (a) t (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1586*o - 2*o**3 + 7*o**3 + 0*o**2 + 0*o**2 + 6270*o.\nAnswer: 5*o**3 + 7856*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*q + 76*q + 8184 = -79*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*x - 13 = 0, 4*o - 3*x - 25 + 4 = 0. Suppose -o*a + 9*a = 21. What is the highest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**4 + 150*g**3 + 1680*g**2 + 3680*g - 14. Let j(t) = t**4 + 30*t**3 + 336*t**2 + 736*t - 3. Let i(a) = 28*j(a) - 6*n(a). Factor i(p).\nAnswer: 4*p*(p - 23)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24376 divided by -12188\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.37 and 0.37601.\nAnswer: -18.5636137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5781 + -5778. Let n(l) be the second derivative of 45\/2*l**2 - 5*l + 0 - 25\/3*l**m + 5\/12*l**4. Factor n(a).\nAnswer: 5*(a - 9)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o - 11*o + 8*o + (3 - 1 - 3)*(-2*o + 0 + 0).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + 55\/(-66)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56020 = 4183*w + 7021*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74932, 74912, 74892, 74872, 74852, 74832?\n\"Answer: -20*g + 74952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.697*-1244.\nAnswer: 14551.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -3*v - s, v + 2*s + 59 = -s. Let c = v + 63. Let i be -3*(745\/3)\/c. What is i rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84677\/14 + -6053. Let k = 4828\/275 + -227\/11. Let j = -1\/50 + k. What is the common denominator of y and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 33*f + 25*f = 2178 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**5 + 12161747*j**3 - 36037198*j**2 wrt j?\nAnswer: 60*j**2 + 72970482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 14*x**2 + 32*x + 1. Let i be k(-3). Calculate the greatest common divisor of i and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/3 (b) 4\/3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 0.3 (b) -0.1 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1736 and 2?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4490a - 0?\nAnswer: -4490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8)\/c**(1\/10)*c**2\/c**(-1\/4) assuming c is positive.\nAnswer: c**(223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 and -13\/1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhs when three letters picked without replacement from blhdbhhdhlhhdshdhlhl?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395052765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 15, 4*y + 3267*c - 3265*c - 46 = 52 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9678*416615\/80 + (-6)\/16. What is w rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 6, 0 = 547649*k - 547648*k - m + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 225, 5, 4 in decreasing order.\nAnswer: 225, 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3.2. Let q = 3.1 - 3. Let p be 2\/(-4) - (-1)\/6. Which is the nearest to q? (a) p (b) 1\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 - -3)\/5)\/(2*1). Solve l = -3*x + 7*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 79 = -45. Suppose -h = -4*x + 2*x. Suppose -d + x = -31. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*u**2 - 89*u - 85*u + 174*u + 598*u**2 - 2*u**3 to the form n*u**3 + s*u**2 + v*u + m and give s.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4660\/9 - -51251\/99. What is the nearest to -1\/4 in 0.06, 0.1, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 101 (b) -3\/5 (c) 0 (d) -3 (e) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 45.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81047*j**2 - 74361*j - 1 wrt j?\nAnswer: -162094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 2 n when four letters picked without replacement from {n: 3, f: 6, t: 6}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 745079563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1*(0 - 2)). Let o = l - -11. Suppose o = 3*a, -4*h - 5*a + 151 = 20. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -25\nAnswer: -108\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 - 6*m - 3. Let y be q(7). Suppose 97 = t - y*t - k, -16 = 4*k. Let n = 48 + t. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from xoxooiiaxiaiiiivau?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z**5 - 6800*z**4 - 768245*z**3 + 522000*z**2 + 768260*z - 515200 = 0 for z.\nAnswer: -230, -224, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g\/(g**(-1\/4)\/g))*g)**(-37)*(g\/((g\/((g*g**4*g)\/g))\/g))\/(g\/(g*g*g**(-5)\/g)) assuming g is positive.\nAnswer: g**(337\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + a449872?\nAnswer: a449876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.9216 to 2 dps.\nAnswer: 96.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2 + 5\/((-20)\/(-92))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14911, -17359, -19809, -22261, -24715?\nAnswer: -27171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241660 - 127911. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -5 - (11 - (-65 + (16 - -11))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -545\/7 (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2146170.91 to the nearest ten thousand.\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*y + 7 - 26, 3*y - 5 = 5*s. Let l(h) = 12*h**3 - 3*h**2 + 5*h - 6. Let t be l(s). Suppose t + 674 = 6*d. List the prime factors of d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5*p + 15*p)*(62*p - 16*p**2 - 62*p) + 7*p**3 - 4*p**3 - p**3 + (2*p + 1 - 1)*(p + p**2 - p)*(4 + 2 - 4).\nAnswer: -170*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:03 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2158\/55 + -198\/5. Let o = -1 + 0. Is o less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(6) + sqrt(48)\/(-2*sqrt(8)) + sqrt(6))\/(sqrt(300)*2 - sqrt(300)))**2.\nAnswer: 9\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d + 4*d + 6794*d**2 - 6793*d**2 - 4*d. Let g(x) = -2*x + 25. Calculate g(s(z)).\nAnswer: -2*z**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63217 and 462.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015534803 rounded to six decimal places?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + a - 3*a + 2*a + 2*a + (-2*a - 4*a + 5*a)*(-2 - 1 + 5))*(3*a**2 + 1 - 1).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-805)\/(-63)*-6 - 0)*(-102)\/4. What is the highest common divisor of 2040 and h?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86800 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:14 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 908 and 174563.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -193, -290, -381, -460, -521, -558?\n\"Answer: k**3 - 6*k**2 - 86*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379 (base 15) in base 13?\nAnswer: -1b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -39237 and -39237 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**3 - 12*k**2 + k + 23. Let g(p) = 3*p**3 + 11*p**2 - p - 22. Let m(h) = -5*g(h) - 4*n(h). Let b be m(5). Is b <= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/11 and 447 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 5 + 2*c + c. Let a(d) = -d. Let b(t) = t. Let k(x) = 7*a(x) + 6*b(x). Let s be k(-3). Give v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -28. Suppose 2*k - p = 17. Suppose d + 3*j = 2 + 16, -d - 2*j + k = 0. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(170\/(-36))*15\/6. Suppose -s*k + 5*k = -216. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-12))\/s)\/s*s\/s**(-29) assuming s is positive.\nAnswer: s**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/16 and 259\/30 + 24\/36.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**3 + 13*f**2 - 40*f + 2. Let n be j(5). What is the third derivative of n - 119*x**4 + 12*x**2 - 329 - 338 - 330 wrt x?\nAnswer: -2856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -28*h + 265. Calculate j(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796091.\nAnswer: 3, 11, 37, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.861886nm?\nAnswer: 0.005861886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1. Let m(q) = -q + 11. Give 4*m(b) + 44*y(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 8 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvevse. Give prob of picking 1 e and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1263 + 1225. Let v = -38.3 - u. Let l = -0.8 + 4.8. What is the closest to -1 in 1\/5, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 43, 49, 59, 73?\n\"Answer: 2*o**2 - 4*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 3*g)*(-2 - 1 + 4 + (-2 + 2 - 1)*(-3 - 1 + 2) + 5 - 4 - 2 - 38 - 31 - 31).\nAnswer: 98*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + (-116)\/(-16) + -2 and -13\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let f(q) = -5*q + q**2 - 5*q**2 + c*q**2 + 2*q**2 - 13. List the prime factors of f(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1152*c*l*w**2 + 420*c*w**4 - 850*c - 2*l*w + 2*l + 181 wrt w.\nAnswer: 2304*c*l*w + 1680*c*w**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010111101 (base 2) to base 12.\nAnswer: -bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1197.5 * -0.647\nAnswer: 774.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -9*p**2 + 0 + 3\/20*p**5 - 7\/2*p**3 + 6*p + 0*p**4. Solve r(g) = 0 for g.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(2)) - sqrt(4)\/sqrt(8) - 4*(-2 + (-1*sqrt(2))**2 + sqrt(2) + 2).\nAnswer: -16 - 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.109 times 20\nAnswer: -2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -618 + 757. Calculate the highest common divisor of 2224 and x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvvhrrvvlvrlvls. What is prob of picking 2 h, 1 r, and 1 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6808605, 0.16 in decreasing order.\nAnswer: 0.16, -2, -6808605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-11))**(-1\/68) assuming t is positive.\nAnswer: t**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:08 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 2\/5, 55.3?\nAnswer: 55.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225723396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*v + 9 = 0, 2*g + v + 3*v = 22. Suppose -6*x - 8 = -4*x. Let i be (x\/(-20))\/(g\/2). Put 4, 1, i in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 0*u**3 + u - 3*u**2 + 3*u**2 - 5 - 4*u**2. Let i(r) = 2*r**2 + 1. Let w be i(1). Let o be (-2)\/(-1 + w\/6). Determine f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 17. Let y(c) = -5*c - 18. Determine 4*k(a) - 3*y(a).\nAnswer: -a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -5, -10 in descending order.\nAnswer: 22, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, -3012, -0.5, -0.3, -1\/42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 20 = -b. Let d be (-566)\/b - (-6)\/(-12). Is 23 a factor of (-3 - d) + 2 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 556?\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bf3 - -41?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72591 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 162*v + 1494. What is the lowest common multiple of r(-9) and 116?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-4*h + 4*h + h**2) - 199*h**2 + 77*h**2 + 48*h**2 - 5*h**2 + 2*h**2 + 4*h**2 + (2*h + 2*h - 5*h)*(2*h - 2*h + 2*h).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/12)\/((9*(-6)\/(-54))\/((-2)\/1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79494.91um to millimeters.\nAnswer: 79.49491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304880 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.01 (b) -0.29 (c) 0.4 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-4)\/((-12)\/21). Let b(t) = 4*t - 5. What is the tens digit of b(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -0*s. Let h be 6\/(-9)*-5*(-6)\/s. Solve 0 = h*q + 4*u - 7, 4*q = -5*u - 10 + 21 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Let i(n) = -n + 2. Let h be i(p). Let a be (-23)\/(-7) - 130\/(-182). Sort -3, h, a.\nAnswer: -3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyq when four letters picked without replacement from {v: 1, s: 3, q: 3, k: 1, y: 2, c: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58683\/2 - 3961082\/135. Let x = g + 2\/135. Sort 5, x, -0.2, -6.\nAnswer: -6, -0.2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 2.\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*n - 140146*n**2 - 93*n - 44*n - 194979*n**2.\nAnswer: -335125*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74104.25 centuries to decades.\nAnswer: 741042.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461 or -11524\/25?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482*j = 5960 - 57826 - 12240. Sort -12, j, -4 in increasing order.\nAnswer: -12, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -1\/480*l**6 + 0*l + 1\/60*l**5 - 3*l**2 - 5\/96*l**4 + 1\/12*l**3 + 43. Let c(t) be the second derivative of v(t). Factor c(o).\nAnswer: -(o - 2)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10*5 - -4. Let c = w + -1. Calculate the highest common factor of 35 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25862727 is divided by 8620866?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let s(k) = 2*k**3 - 4*k**2 + 4*k - 2. Let u be s(d). Let q(y) = 26*y - 21. Is 15 a factor of q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 23*c = 34. Sort c, 6, -8 in descending order.\nAnswer: 6, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/60 + 5*k**4\/24 + k**3 + 2*k**2. Let s(c) = c. Let m be s(0). Suppose m = -0*j - 2*j - 10. Determine b(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -195*k**5 + 8184*k**4 - 85743*k**3 - 2646*k**2.\nAnswer: -3*k**2*(k - 21)**2*(65*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27748, -1, 15 in ascending order.\nAnswer: -1, 15, 27748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1519*a**2 - 178*a - 353. What are the prime factors of s(-2)?\nAnswer: 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 8. Let d = 2 + 0. Let o be (14\/4 + -1)*d. Solve -p*j - 7 = 5*w + 13, 0 = j - w + o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8108 - 8090. Let g(t) = t**2 - 4*t - 5. Let z be g(-7). Calculate the highest common factor of h and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*z + 2, -z - 2 = 5*n + 16. Let v(c) be the first derivative of 2*c**2 + 2. Let x(j) = -2*j + 5*j - j. What is z*v(d) - 5*x(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 40*c = -5*d - 183, -c + 74 = -2*d. Is 2\/(-6) + (-2821)\/d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8811 + -8807. Let q(m) = 2*m + 3. Determine q(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-3 - 1 + 2)*(3 - 6 - 1)*(-o - 4*o + 2 + 6*o).\nAnswer: 16*o + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.1 - -32. Which is smaller: n or -0.03?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4)*q)\/q*q**7)**(-26)*((q**(3\/8))**18)**(-21) assuming q is positive.\nAnswer: q**(-1815\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 80 - 56 = 0. Suppose f*b - 52 = -36. Solve 0*s - 5*s + 4*k = -1, 4*s + b*k = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 79316*b - 125899440.\nAnswer: -4*(b - 18089)*(b - 1740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2482*b = -549*b - 976*b + 227*b + 64260 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 6*l**2 - 2 + 3*l**3 + 4*l**2 as w*l + u*l**2 + x*l**3 + t and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 641.547 to the nearest integer.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0751 - -1.2249. Which is the second smallest value? (a) t (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -288 - -985. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 6\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnntntznnnnntn. What is prob of sequence ztn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1199008*c*x**6 + c*x**5 + 5*c*x**2 + 2*c*x + 12*c + 1990*x**2 wrt x?\nAnswer: -143880960*c*x**3 + 60*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 1\/2*m**2 - 1\/10*m**4 + 1 + 0*m + 1\/75*m**5 + 4\/15*m**3. Let p(v) be the second derivative of y(v). Let p(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 38*u + 316. Let g be o(-12). Solve 2*m = -g*d + 18, -m - 3 + 0 = -2*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 18. Calculate p(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:24 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7066 + 174503?\nAnswer: 182570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 772804 divided by 4\nAnswer: 193201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 487.1513 centuries?\nAnswer: 4871.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r + 1. Let h be 135\/(((-3)\/27)\/((-96)\/648)). Let y(q) = -42*q**2 + 36*q + 36. Give h*d(g) - 5*y(g).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - 4*j + 32)*(-36*j - 63*j**2 + 36*j) + 8*j**3 - 13*j**3 - 3*j**3 in the form c + t*j**3 + x*j**2 + u*j and give t.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -52, -4.\nAnswer: -52, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 6:44 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 28*g + 30*g - 90*g + 29*g. Let w(s) = -1163*s. Give w(v(o)).\nAnswer: 3489*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -5*d + x, 0 = -3*d - 5*x - 66 - 32. Let g = -146 + 122. Let m = g - d. Solve -m*a - 3 = 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -9 + 3\/2*j**2 + 25*j. Is 13 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/9 - 38\/45. Let k be 12\/9 - 4\/(-6). Let y be (27\/4)\/(-3) + k. What is the nearest to h in -4, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/20 - 3*t**4\/4 - t**3 + t**2\/2 + 24*t. Let n be p(10). Suppose n - 13 = 14*b. Solve 0 = 2*i + b - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*m**3*s**3*t**3 - 14*m**3*s**3*t - 2*m**2*s**3*t + s**3*t**3 + 2*s**3*t**2 - 3*s**3 wrt t.\nAnswer: -996*m**3*s**3 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - c - 5786*c**3 + 5757*c**3 - c.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 1. Let l be d(1). Let x(k) = k**3 - 45*k**2 - 140*k + 7. Let y be x(-3). Sort 4, y, l, -17 in ascending order.\nAnswer: -17, y, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58072*p**2 - 277146*p**2 - 20087*p**2 - 36296*p**2.\nAnswer: -275457*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*f + 25 - 5, 0 = 5*j - 5*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3699 + 3881. What is the highest common divisor of b and 7189?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 1400 - 1395, -4*f - 22 = -2*d for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 21 + 22. Let z(a) be the first derivative of -1\/3*a**3 + 0*a + 0*a**2 + g. Let w(x) = x**2. What is z(w(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 0.8. Let l = 1679\/2 - 842. Which is the closest to l? (a) -1 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36655?\nAnswer: 5, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*j + 138, -3*j + 487 = -4*x. Let n = x - -127. Let b be 2\/n + 136\/36. Solve 2*h = -2 - b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 2*g = -3*j - 69, 4*j - 4*g + 51 = -19 - 32 + 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 4. Let y(h) = -7*h**3 - 2*h - 1. Let p be y(-1). Let u be c(p). Suppose -2*f - f = 5*b + u, -4*b + 16 = -4*f. Is 2\/11 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4840 + 4839.8. Which is greater: -1353\/8 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.12, 2\/5, -5, -0.1?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-10) - 8\/20. Suppose 3*n - 23 = -4*f, -2*f = n + x*f - 21. Suppose 4*u + 18 = o - u, 0 = -4*u - 12. Solve -10 = -o*k - n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 64 = -q, 3*w = -13*q + 364 + 174. Calculate the greatest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129776506877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + r + 6. Let t be w(-2). Let q(l) = -8*l - 38. Let n be q(t). What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.6704 times 4?\nAnswer: -386.6816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(14) - (sqrt(14) - sqrt(42)\/sqrt(3)))*-4)\/sqrt(2) - (5*(3*sqrt(77) + sqrt(77)))\/sqrt(11)) + -3.\nAnswer: -15*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 5. Let f(h) = 3*h + 9. Let n(k) = -10*d(k) + 6*f(k). Let r(q) = 1. What is -n(b) + 3*r(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -370, -724, -1066, -1390, -1690?\n\"Answer: l**3 - 361*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -3 + (-4)\/(2\/2). Let s = 5 - 1. Let i = s - 5. Which is the second smallest value? (a) l (b) i (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/150 - 5*p**4\/6 - 125*p**3\/3 - 97*p**2. Determine d so that t(d) = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 4\/2864789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 3*c + 5. Let n be q(-2). Let b(z) = -2*z. Let o(m) = -3*m. Let h(p) = n*b(p) + 4*o(p). Let l(d) = -8*d. Calculate l(h(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**2. Let o(z) = -12*z + 8*z - 9*z - 8*z - 6*z. Determine g(o(t)).\nAnswer: -9477*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-5)))**(-2\/15)\/((y*y**(3\/20)\/y)\/(((y**21*y)\/y)\/y)))**(-2\/9) assuming y is positive.\nAnswer: y**(-1231\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 811692 >= 811691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 0.3 (c) -131 (d) -2\/245 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101311 (base 5) to base 11\nAnswer: -2559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -45*j**2 - 2*j. Let y(f) = -191*f**2. What is z(y(c))?\nAnswer: -1641645*c**4 + 382*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94380.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 882781 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: Suppose -m - 1 = 10. Let a(w) = 2*w**2 + 8*w - 7. Let z(h) = 3*h - 4. Let q(p) = -p**2 - p. Let x(k) = -q(k) + z(k). Let c(y) = m*x(y) + 6*a(y). Give c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/224*12\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (110\/(-8))\/(-5). Which is smaller: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 2*l**4 - 30*l**3 + l**2 - 11*l**4 + 5*l + 31*l**3 to z*l**3 + p*l + s + v*l**2 + u*l**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -58. Let n = -9 + m. Let w = 13 - n. What is the smallest value in -5, w, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000336136845 to 7 decimal places.\nAnswer: 0.0003361","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 139*z**2\/4 + 1190*z - 1225.\nAnswer: (z - 1)*(z + 70)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.205 and -115?\nAnswer: 23.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60255 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 190 = -2*b + 5*l, 2*b - 175 = -l. Suppose 84*i = b*i - 1500000. Round i to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 1795*u**2 - 14307*u - 4. Determine c(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.3 (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 3, 0, -10.\nAnswer: -10, 0, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 81?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 8 + 8)*(-2 - o - 9*o + 5*o) + 0 + 0 - 2*o**3.\nAnswer: -17*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 0. Suppose 15 = u + 4*u, 5*u - q = -a. Solve -a*x - 5*b + 10 = -3*x, -3*x + 2 = b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 1504*c = -1501*c + 33, 0 = -5*k + 4*c + 44 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67733 is divided by 640.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 15*n + 16 = 5*n, -38 = -2*h - n for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3969338354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41457 + 51*k**3 + 20729 + 20726.\nAnswer: 51*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/25099 + 978805\/1405544. What is the common denominator of y and 111\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 234, 240, 246?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 360*q**2 + 17*q + 14. Let r(p) = -120*p**2 - 6*p - 5. Calculate 6*o(a) + 17*r(a).\nAnswer: 120*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*b, 41*b = 5*l + 20*b + 18*b - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24496302.\nAnswer: 2, 3, 1181, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24465 = -5*b + 50927 + 48503. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Solve 0 = -i*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(18) - (-3*sqrt(18) - sqrt(18)))\/sqrt(6) - (0 + sqrt(300)))**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277 + -275. Suppose -7*z - 4*l = -5*z - 850, -2*l - 856 = -m*z. What are the prime factors of z?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-3)\/24)\/(13\/52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 1. Let j be u\/6 + 14\/(-12). Let w = 2 - 1.9. Which is the second smallest value? (a) w (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 9*b)*(-b - 1 + 1)*(b - 3*b + b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c + 3*c. Let h be (-6)\/(-63)*c + (-201)\/679. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -164.6872 and 8.32.\nAnswer: -156.3672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 666343118780 and 286?\nAnswer: 666343118494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlhbhbb. Give prob of picking 1 h and 3 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/36 + -1 + (-7)\/(-6). Suppose -8*j - 7*j - 90 = x. Let f(b) = b + 5. Determine f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208219 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 332\/6) + ((-4)\/14)\/(264\/(-1232))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91677289 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288*-0.55.\nAnswer: -158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8647*l - 109 = 8642*l, 3*v + 2*l + 137 = 0 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 8) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 16*a**2 - 3*a - 18. Let r(w) = -4*w**3 + 19*w**2 - 3*w - 19. Calculate 6*r(c) - 7*v(c).\nAnswer: -10*c**3 + 2*c**2 + 3*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.09. Let g = 1.99 + f. Let n = g - 1. Which is the nearest to n? (a) 0.5 (b) 0 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**2 + 5*a**2 + 8*a + 6 + 2*a**2. Let n be d(9). Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/3 + w**2\/6 - 13. Solve r(t) = 0 for t.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - p**3 - 1 + 0*p**3)*(-6 + 7*p + 6) as c*p**2 + x*p**4 + y*p**3 + q*p + f and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*r = 35, -1877*r + 6683 = 2*d - 13968 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 1. Let y(m) = -11*m - 62853. Give y(w(n)).\nAnswer: 22*n**2 - 62864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 + 59*x - 5. Calculate the remainder when 22 is divided by j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let y(v) be the first derivative of v**2 + 2*v + 7. Calculate -4*o(g) - 3*y(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*w - 31 = 0, -2*s + 2*w = 2*s - 70. What is the remainder when s is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 3*u**3 - 4*u**3)*(-4 + 2 + 1 + 1 + 5 - 4 + 1 - 2 + 0 - 2 + 0 + 1 + (-1 - 3 + 6)*(1 - 5 + 3) + (-1567 + 3067 - 1796)*(-2 + 1 - 1)).\nAnswer: -1178*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6a7b92 (base 15) to base 10\nAnswer: 5088737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1539270.71 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a04611 (base 12) to base 16.\nAnswer: -53a66d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518 and 3946?\nAnswer: 1022014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*s + 7121 - 19926 = 0. Which is smaller: s or -58?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.5, 20, -29 in descending order.\nAnswer: 20, 10, 0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 + 4 + -6 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51399 at least as big as 51403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.00676 decades to years.\nAnswer: 380.0676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 15*l + 59 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323331213 (base 6) in base 11?\nAnswer: 3289261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -78. Suppose -8 + 3 = z. Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -102. What is the nearest to j in -2\/3, -4\/3, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23824 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -22*b**3 - 2*b**2 - 2*b - 1. Suppose -5*y = -26 + 1. Suppose -a + 0*k + 24 = y*k, -5*k = -25. What is the tens digit of l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 1715510?\nAnswer: 36025710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1714*p**3 - 1715*p**3 + 5156*p**3 - 1719*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:11 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tptp when four letters picked without replacement from {m: 4, t: 2, r: 4, p: 5}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 20 = 20*o. Solve 0*r - o = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {j: 2, m: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40494 - -58113. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 2*n + 2*n**2 + 16 - 8*n**2. What are the prime factors of m(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -31. Suppose 3*v + 4*v - 14 = y. Suppose 2*f - 5*j - 156015 = -2*f, v*j = -6. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 10:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1160 = -n, 0 = -4*k - 2*n - 3*n - 928. What is the hundreds digit of (-5)\/(-1 - 1156\/k - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 859, 24 in decreasing order.\nAnswer: 859, 24, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose -2*c + 222142 = 4*n - 0*n, 2*c = 4*n + 222134. Suppose -h*l - c = 35931. What is l rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281396.\nAnswer: 2, 103, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -2\/9*d**2 - 2\/27*d**4 + 3*d + 0 + 5\/27*d**3 + 1\/90*d**5. Let q(c) = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76244 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3433\/141 - 15\/47. Which is smaller: -25 or x?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 12*a + 14. What is the nearest to -0.2 in -11, a, -4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/991, 0.1, -1\/11, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516 - -504) + 1 + 0 + 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from zzooozzoozoo?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -7. Suppose -i = -4*r + 2*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133 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 tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834014 less than or equal to 758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/35*210\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 185\/(-45) - (0 - 1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942*465.\nAnswer: -438030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-3)\/(-366)). Let a = 223 + -243. Let d = n + a. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -261940 - -2715?\nAnswer: -259225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/5, -127.\nAnswer: -127, -0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttuuddddt. What is prob of sequence tt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**12*z**(-25\/4)\/z)**(3\/7))**38 assuming z is positive.\nAnswer: z**(-4161\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**7\/840 - c**6\/360 - c**5\/120 + 77*c**4\/24 - c**3\/3 + 1. Let v(k) be the third derivative of s(k). Is v(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 4*k)*(0 + 0 - k)*(k + k - 6*k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - 1.5. Let n = 6.4 + k. What is the nearest to 0.1 in 3\/4, -5, n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*i = -1 - 3, 0 = -u + 5*i + 4. Find the first derivative of -19 - 16 + 54*g**4 + 6 - 149*g**u - 5 wrt g.\nAnswer: -380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + 5. Let z = 26 - f. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 249*v**3 + 25 + 7*v**2.\nAnswer: -249*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 3418200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3692550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q**3*s**2 + 21*q**3*s + 8*q**3 - 3*q**2 + 106*q*s - 4*q - 7538*s**4 wrt s?\nAnswer: -44*q**3 - 90456*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 335507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276763080 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080041728?\nAnswer: 2, 7, 2276809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (68\/90 - 30\/30) + (-8)\/(-18). What is the second biggest value in -4, 50, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 5, w: 7, g: 4}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 110*s + 225*s - 4 = 118*s, q + 4*s = -28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165162 is divided by 9175?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/(52\/(-448)))\/(-2). Solve 4*d - j = 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(119)*-2*3)\/(sqrt(14)\/((sqrt(2) - sqrt(8))*-4)).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 10*k**2 - k**2 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 123, -19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -377, -572, -771, -974?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 30*f**2 - 44*f + 163. What are the prime factors of j(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -654935*t - 156395?\nAnswer: -654935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) 4 (c) -0.6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8102*i**2 - 16*i - 551 wrt i?\nAnswer: 16204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**3 - 287*x**2\/2 - 255*x\/2 - 23 = 0. What is x?\nAnswer: -23, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 + m**2 + 0*m**2)*(0*m - 2*m + 3*m)*(3*m + 0*m - m).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000031402231 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(1 - 2)\/4. Suppose 0 = k - l, -1 + 7 = 5*c + k. What is the tens digit of 1 - c - -8*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 1, p: 3, q: 1}. Give prob of picking 1 i and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23117*h = -23163*h + 4045792. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) + (-2)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzcthhcttt. What is prob of sequence ttt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(832)).\nAnswer: -40*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 8, 2, 1 in decreasing order.\nAnswer: 74, 8, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -2\/31, 0.5, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 7*s + 8. Let f be h(-6). Solve -2*w + 1 = -5*j, f*j - w - 2*w = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339611 to the power of 1\/2, to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 106564*u - 28. Let f be s(-23). Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 69454*y - 9 + 6.\nAnswer: -69454*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6306663178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7524418709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178424 and 2542542.\nAnswer: 10170168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.3681016.\nAnswer: -0.7362032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0.0552?\nAnswer: -8.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37348, 37345, 37342?\nAnswer: 37339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 24*f - 24. Let b be ((-8)\/3)\/((-27)\/(-81)). Let g be -2*(4 - (-132)\/b). Let x be c(g). Solve -5 = -y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (2 + (-3 - -2) + 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goggogo. What is prob of picking 3 o and 1 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24421233 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 1, -31, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-92 + 34 - -19) + 42\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*v - 3*h - 10, -2*h = 6. Solve p = 4*y + v*p - 8, -4*p + 19 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 198. Let b(h) = 2*h + 189. Give -5*b(a) + 4*i(a).\nAnswer: 2*a - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 3*d**4)*(0 + 2 - 24*d + 30*d) + (0 - d**2 + 0)*(1 - 1 - 2*d**3).\nAnswer: 20*d**5 + 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400494851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.4, 2\/9, 1\/33919?\nAnswer: 1\/33919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 4, v: 3}. Give prob of sequence vvbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -201?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 146031492 divided by -5111\nAnswer: -28572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-90))\/((-72)\/(-162)*2\/8*-30)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6991302 is divided by 258?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 11, a: 1}. What is prob of picking 1 a and 1 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170005 - -707936. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (53 - 41) - 38 - (-5 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 11:18 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25430 + 27*u - 25430.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(5\/(-30)). Suppose -3*k + k = -4*y - 18, 2*k + y = t. What is the units digit of 47\/k + 8\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 920*j - 413*j = -26364 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 4*t**2 - 28*t + 109. Let u be j(4). Sort u, 3, 6 in ascending order.\nAnswer: u, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 703.51 to the nearest integer.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*m - 23*g**4 - 16*g**3*m - 15*g**3 - 53*g**2*m - 2*g**2 - 19*g*m + m wrt g.\nAnswer: -24*g*m - 552*g - 96*m - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 + 256*g\/5 + 504\/5 = 0.\nAnswer: -126, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212 + 66 + 15*h - 11*h + (0 + 0 - 4)*(-4*h - h + 2*h) to u + b*h and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - -1.06. Let h be (-2)\/3 - 4\/12. Let f be (-72)\/21 - h - -2. What is the nearest to l in -0.04, f, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = -18*q + 827. Calculate the remainder when 598 is divided by q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 44*s. Let j(n) = n**2 - 4 + 5 - 1. What is j(a(w))?\nAnswer: 1936*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-35 - -32 - 36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196 - 20?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**4 - 140*m**3 - 86015*m**2 + 5374550*m - 10404000 = 0.\nAnswer: -144, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 16*s - 20. Let w be i(-9). Which is bigger: w or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.258, 2, 52760 in decreasing order.\nAnswer: 52760, 2, 0.258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1.5. Let a = 2.004 + -0.004. What is the nearest to 1\/2 in a, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*10\/(-4) + (-304)\/(-56). Let b = -26 + 26.4. What is the closest to 0 in s, b, -54?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 789054 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, -4, -9, -78, 7 in descending order.\nAnswer: 209, 7, -4, -9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -5*m**3\/3 + 3*m**2\/2 - 8. What is the second derivative of x(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 3988*j\/3 - 3976036\/3.\nAnswer: -(j + 1994)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h + 46. Let i(f) = 6*f + 50. Let w(d) = -2*i(d) + 3*l(d). Give w(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-18)*(-1 - 2). Suppose 3*f - l*f = 6. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -225 - 322. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73215000 divided by 39048?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 19*t**2 - 16*t - 87. Let s be b(20). Put s, 0, -3, -4 in ascending order.\nAnswer: s, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.5. Let k be 63\/(-24) + (249 - 249) + 1*3. Sort y, 1\/5, k in decreasing order.\nAnswer: y, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 374045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 160 = 10. Suppose -24*n + 4585 = -p*n. What are the prime factors of n?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*k + 59742, -2*o - 5*k = -75677 - 43812. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7997 is divided by 138.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -23 - (-37 + 48 + -39)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let l be (-2 + -4)\/((-6)\/p). Suppose 0 = y - l*a + 11, 0 = -7*a + 2*a + 20. Solve 3*n = y*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353849 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 280*z - 125*z - 138*z + (-2 - 2 + 5)*(9*z - 8*z + 6*z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/3)*t*t*t**(1\/4)*(t\/(t**(2\/5)*t))**(13\/3) assuming t is positive.\nAnswer: t**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(425) + 2*(sqrt(425) + 3 - sqrt(425)) + sqrt(425) + -5 + sqrt(425) + (sqrt(425) - (-1 + sqrt(425))*-6) + sqrt(425) + 5)*2)**2.\nAnswer: 880*sqrt(17) + 205716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 522*j**3 - 2293*j**3 + 1243*j**3 + 524*j**3.\nAnswer: -4*j**3 + 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12150 and 1944.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/22 + (-84)\/(-231). Suppose 0 = 3*j - t*y - 2367, 5*j - y - 2*y = 3949. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/99*10\/(-30)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1158616761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*h + 2623 - 2896 - 1699 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 s when four letters picked without replacement from ssssstssssssstssssss?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v - 20*v - 1536*v**3)*(-7 + 3 + 2).\nAnswer: 3072*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2104 + 2104 + 16*i**2.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*-4*(-16)\/6. Let h = s - -21. Solve h*q = -2*k - 23, -4*q = 4*k - 4 + 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + 11*r - 2. Let l(y) = y**2 - 5*y + 1. Let k = 14 - 3. Let a = k - 18. Give a*l(f) - 3*d(f).\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 2. Let z(s) = 7*s + 12. Let o be z(-10). Calculate the common denominator of 109\/12 and o\/(-4) + u + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 60*y**3 + 1 - 56*y**3 - 43*y**3.\nAnswer: -159*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 148*a**2 - 91*a - 1285. What are the prime factors of d(-12)?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*q - 8*q**2 + 10*q)*(-21*q - 13*q + 177*q + 2)*(3 + 2*q - 3) to the form z*q**4 + a*q + m*q**2 + w + g*q**3 and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*n - 5, o - n + 3*n = 1. Calculate the greatest common divisor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = j + 14139 - 14131, 4*j - 4*g - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f + 5*b, b + 2 + 7 = 2*f. Suppose 5*m + 3 = -3*z + 1, -f*z + 8 = -4*m. Is ((-60)\/(-1) - m)\/1 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31788160 by -32.\nAnswer: -993380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109128 or 1109125?\nAnswer: 1109125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*s - 31, s - 4*y = 2*s - 22. Put s, -4, -19 in increasing order.\nAnswer: -19, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75.542 - -0.158. Let l = 79 - m. Let i = l + -3.29999934. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, 5, -0.177?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d**(-2\/15))\/((d\/((d\/(d\/(d\/(d*d\/d**(-1\/4)))))\/d*d))\/d**(-3)) assuming d is positive.\nAnswer: d**(-4079\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 at most 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/11 < 49985.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, p: 8, z: 1, x: 3, k: 1, t: 1}. What is prob of sequence ppm?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -21*h - 3. Let v be b(3). Is 44 a factor of v\/5*(-100)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f + q - 76 = 164, -25 = -3*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/6 + 19*x**2 + 6*x. Is o(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.0148 + 53. What is s rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 47*n - 17. Give j(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2288886 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 84 + 120. Suppose 3*k = 3*v + z, 4*k - 77 = -k + v. Suppose 0*b = 5*b - k. Solve -2 + 8 = -b*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 46*z + 539. What is r(-23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12109 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -2 + 0.\nAnswer: -2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*f - 280*f + 102068. Solve -2*d = f - 315 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnghghnnngghn. What is prob of sequence ng?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.4. Suppose 5*d - 8*o = -10*o - 6, 0 = -5*d + 5*o - 20. Put 3\/4, p, d in decreasing order.\nAnswer: 3\/4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11230141 (base 5) to base 8\nAnswer: 307041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*d - 43*d**2 - 79*d**2 + 30*d**2.\nAnswer: -92*d**2 + 679*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4924 + -4906. Suppose 0 = -3*u - 0*u + 6. What is the highest common divisor of t and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n**2 - 21*n + 21. Let q(w) = -10*w**2 + 32*w - 31. Let y(k) = -7*p(k) - 5*q(k). Let l be y(13). Suppose -l*u + 6*u + 24 = 0. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. List the prime factors of 19 + (a - (-1 + 1)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. What is the highest common factor of 15 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3355689*l**2 + l - 490586 wrt l.\nAnswer: 6711378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (594 + -568 - (-1 - -24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 2\/2 + -1. Let r = 3 - c. Suppose -1 - 5 = -r*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 54\/21)*3794\/(-813).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3028703069 and -21738.\nAnswer: -3028724807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581154477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340 and 1233010.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1027910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42923308 is divided by 126245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gygbggbigo. Give prob of picking 1 b, 1 o, and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Let d(j) = j**2 + 5*j. Let i(w) = d(w) + 4*g(w). What is the lowest common multiple of 6 and i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Suppose -c*q - 528 = -4*o, -3*o - 3*q = -o - 239. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 17}. What is prob of sequence ut?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 7. Let g(n) = -3*n**3 + 2*n**2 - 3*n - 2. Let x be g(-2). Let w = x - 36. Determine a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21179 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 87. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 15*v**2 + v + 18. Let z be a(-15). Suppose -3 = z*o, -444 = -l + o - 6*o. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121186 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 5) + -1*1. Suppose -3*d + 777 = -0*p + 2*p, 0 = p - 3*d - 393. Is p + 0 + (5 - n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -9a?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12741, -11477, -10219, -8967, -7721, -6481?\n\"Answer: -3*p**2 + 1273*p - 14011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(55)\/sqrt(5))**2 - sqrt(11))*1.\nAnswer: 5*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10280 divided by 257?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -440 + 657. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/10 - 12*o**2. Let h(t) = 2*t. What is h(c(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19258350 and 8?\nAnswer: 77033400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 0.01, -1\/49, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + 17*f + 11. Let p(d) = 3*d**2 + 6*d + 4. Let a(i) = -4*n(i) + 11*p(i). Determine o so that a(o) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14764*u**2 - 15182 with respect to u.\nAnswer: -29528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**3\/3 - 3*c**2\/2 + 332*c. Let m be ((-6)\/(-4))\/(6\/56). List the prime factors of g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/36 + (-1)\/(-4). Let o = 1924\/3 + -642. Sort o, 13, z in increasing order.\nAnswer: o, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 1, z: 1, d: 2, k: 4, g: 4}. Give prob of picking 1 i, 1 z, 1 v, and 1 d.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -43106 + 5431463\/126. Calculate the common denominator of j and -41\/546.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let n(i) = -1742 - 1731 + 3415 - 7*i**2. Give n(c(p)).\nAnswer: -28*p**4 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 + 280\/25)*(-130)\/78 and -32\/1341.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131295307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v. Let n(f) = 11*f**2 + 520*f - 8. Give n(j(z)).\nAnswer: 275*z**2 - 2600*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1736 and 1116?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2 + 0*l**3 - 2*l + 2*l**4 + l**3 + l**3 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 23 - 81 = 0. What is the greatest common divisor of 203 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:09 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 165, -256 in descending order.\nAnswer: 165, 0.2, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794679.4 centuries to decades.\nAnswer: 7946794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9830297t to nanograms.\nAnswer: 983029700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/108 - m**3\/9 - m**2\/2 - 2*m - 5. Factor k(h).\nAnswer: -(h + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/16 and -89\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 110*c**4 - 525*c**3 - 740*c**2 - 320*c = 0.\nAnswer: -16, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 1502650*t**3\/3.\nAnswer: t**3*(t + 1502650)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 234528.\nAnswer: 46905.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -1\/10*w**4 - 1\/5*w + 1\/5*w**3 + 2\/5*w**2 - 3\/10 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 14 = -4. Suppose -3*q - g = -82, -v*q + 5*g - g + 50 = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 - (-3 + 3). Let t = 3.2 + -1.6. Let x = 11.2 - 11.7. What is the third smallest value in j, t, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2)*q)\/q**17 assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111447, 221924, 332401, 442878?\nAnswer: 553355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9492 divided by 3164?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-3\/7)\/r*r))\/(r\/r**(2\/9)))**(-2\/69)\/(((r*r**4\/r*r)\/r)\/(r**(1\/5)\/r)*r\/(r\/(((r**(1\/6)*r)\/r)\/r))*(r\/(r\/r**0))\/r) assuming r is positive.\nAnswer: r**(-128521\/43470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1971329 minus -6546189?\nAnswer: 8517518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2.7, 2\/9, -932, -6\/217?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 96.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 16) to base 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.002.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, d: 1, q: 1, y: 2}. Give prob of sequence yyq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 36.\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 + -5 + 204\/32\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/7 and (-74)\/(-20) - (4 + -6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q + 1. What is the tens digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 1.4. Suppose -3*u - 13 = -4*s + 6, 17 = 4*s - u. Let b be s\/(-14)*2\/4*-1. Put b, q, 1\/4 in ascending order.\nAnswer: b, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 3*x. Let q = 3 + 2. Let c be r(q). Is 4\/(-10) - (-714)\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2595 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 11*h + 7. Let v be g(9). Let k = 32 + v. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 56*u**2 + 51*u - 1981. Is g(36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(3*q**3 - 10*q**3 - 8*q**3).\nAnswer: 90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 289890499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -1\/2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100496 divided by -44.\nAnswer: -2284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 7*t - 3*t - 8, 3*t = 5*s - 26. Suppose -s*v - 4*c + 26 = -2*v, 16 = v - c. Factor -v*m**2 - 4*m**3 + 18*m**2 + 7*m**3.\nAnswer: 3*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 544 = -12*f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25424 is divided by 22437.\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjffvkkvq. What is prob of sequence pjk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*w + 425*w - 670*w - 8640 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 14. Let t be j(3). Let h = t + 32. Solve h + 27 = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020493 to four decimal places.\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 153 (b) 10\/10647 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 5)*(6*c - 7*c**2 - 6*c) + (2*c + 4*c - 4*c)*(2*c - 1 + 1) - c**2 + c**2 - c**2 to z*c + x*c**2 + n and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/28 + -4 - 3 and (60\/75)\/4 - (-126)\/80?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(-44 + 100 + c**4 - 58 - 2*c + 8*c**2) in the form t*c + o*c**2 + d*c**4 + j + v*c**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 18788.\nAnswer: 169092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 2*x. Suppose -2*f - 134 = 3*y, -y - 40 = -x*y - 4*f. Let n = -177\/4 - y. Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009617497 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 14*i + 43, 0 = -8110*i + 8113*i + y + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -20*a + 10075. Suppose 3 = -3*b + 2*h + 19, 7 = b - h. Suppose b*z - 7*z = -a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 2*s + s + s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -217, -320, -473, -682, -953?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80605, -162869, -245131, -327391, -409649, -491905, -574159?\nAnswer: -656411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 20*f**3 + 15*f**2 + 15*f - 15. Let q(u) = -u**3 - u**2 - u + 1. Determine 60*q(t) + 4*z(t).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:27 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 21*o + 10. Let l be r(7). Calculate the highest common factor of l and 756.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120333 (base 5) to base 10\nAnswer: 20093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i - 0*i. Let b(g) = g - 20. Let q be b(14). Let o be q\/(-15)*(-5)\/i. Which is greater: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -868623 in decreasing order.\nAnswer: 10, 0, -868623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532052 is divided by 6413.\nAnswer: 6186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 87*i + 40. What is the hundreds digit of o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690275, -690185, -690095?\nAnswer: -690005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))\/r*r**(-17)*r*(r\/(r*r\/r**(-4\/13)*r))\/(r\/r**(-4\/11)) assuming r is positive.\nAnswer: r**(-2956\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4548119, 4548106, 4548083, 4548050, 4548007, 4547954?\nAnswer: 4547891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -54*f**2 - 4*f + 14. Let r(q) = -53*q**2 - 3*q + 13. Let h(b) = -7*r(b) + 6*y(b). What are the prime factors of h(-3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3426 divided by -7.\nAnswer: 3426\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 - 2*b. Let p(g) = -g**3 - g**2 - 6. Let z be p(0). Let s = -11 - z. Let m = s + 7. Let h(k) = 11*k**3 + 5*k. Determine m*h(w) + 5*j(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30793039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 3*c + 11 = 62*u, -5*u + 25 = c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -382 - 567. What is d rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmy when three letters picked without replacement from yccymmycc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0993 - -660.0993. Let a = b - 649. Which is smaller: 5 or a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:27 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:21 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 + 7*w**3\/6 - w**2\/2 - 4*w + 44. What is r(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4896 and -53\/2058.\nAnswer: 1679328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let r(n) = -11*n + 35. Let b(d) = 2*r(d) - 10*x(d). Is b(-13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 39.13416t?\nAnswer: 39134.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 4736?\nAnswer: 33152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*q - 274 = c, 4*c + 3*q = -258. Let r = -56 - c. Find the third derivative of -1645*d**3 + 1645*d**3 + r*d**2 + 23*d**5 + 2*d**2 wrt d.\nAnswer: 1380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2 - 22. Suppose -u*x + 35 = 4*t - 1, -5*t = -2*x + 11. Suppose -320 = -3*y - x. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 29. Let s be (79 - 1)*(-23)\/(39 + -177). Calculate v(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047102 to 4 decimal places.\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/5, -235, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325 + -325.01046. Round s to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.06 (c) 0.1 (d) 4\/9 (e) -0.3 (f) -64 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 6636042 (base 12) in base 15?\nAnswer: 1a9c482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5212*q**2 + 4361*q**2 + 5460*q**2 + 7886*q**2 to a*q + x + r*q**2 and give r.\nAnswer: 12495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 156 + -142 + 1 + -17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 119*v + 467. Give o(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0\/3 - 6 - (-20 + 13)). Let p be 5\/63 - 4\/18. Which is the closest to 1? (a) p (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 4, h: 2, a: 1, b: 1, v: 6}. What is prob of picking 2 h, 1 y, and 1 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7912 is divided by 439?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1985*h**3 + 990*h**3 + 990*h**3 + 37 - 10*h**4 to the form i*h**3 + u*h + r + b*h**2 + l*h**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1276*u**3 + 3*u**4 + 1092*u**3 - 3175*u**3 - 2*u + 1239*u**3 - 5*u**4 to h*u**3 + g + x*u**2 + n*u + w*u**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -131790021 plus 2?\nAnswer: -131790019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 - 67*x - 1399 + 469 + 463 in the form m + n*x and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -t. Suppose 0 = -t*q + 2*c - 0*c + 45, 45 = 5*q - c. Solve 0*l + 3*l + q = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840002 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 - 5?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1407 divide 7573210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -734?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 8:49 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*x - 208*x + 2028*x + 2746*x.\nAnswer: 4805*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369?\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36304?\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + 27. Let z = l - 62. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v, 5*h + 8*v = 11*v + 3341. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 1019*c. Let b(t) = -t**2. Determine 3*b(y) - u(y).\nAnswer: y**2 - 1019*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, s: 7}. What is prob of picking 3 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 0.4. Let j = -0.04 + 2.04. Let l = j - 2.2. Is l > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d = -45 - 60 + 105 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 6*j + 2. Let t be (-1)\/(-5) - ((-102)\/15)\/j. Calculate the greatest common factor of t and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 - z**3\/6 - 3*z. Let u be w(0). Let f(n) = n**2 + 40. Let o be f(u). What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1\/2, 0.4, -142, 2, -14562, -1\/3?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116465328 + 439889546380\/3777. Let u = b - 2\/1259. Determine v so that 4\/3*v**3 + 0 - 4\/3*v - 2\/3*v**4 + u*v**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*m - 28, -2*x + 6*x - 8 = -4*m. Suppose s + 4 = 2*s + 4*l, 5*s + 3 = 3*l. Solve s = -d - m - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/5*-94*(105\/(-135))\/(-7).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 3*o)*(3 - 81*o - 31*o + 56*o).\nAnswer: -112*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*v - 10. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 40 = -8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 38*q + 233*q.\nAnswer: 204*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17018 + -16658. What is the remainder when i is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 188*d**4 - 1224*d**3 - 2512*d**2 - 1696*d = 0 for d.\nAnswer: -2, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 639 * -1.4\nAnswer: -894.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 2. Suppose 23 = q - 4*p, -5*p + 16 = 3*q - x. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 76 - 372 = b, 2*b - 888 = -4*o. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d**2 - 121*d - 13. Let k(t) = -13*t**2 + 61*t + 6. What is 4*i(r) + 9*k(r)?\nAnswer: -r**2 + 65*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, -1\/8, -4306?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -d + 6. Suppose -t = y + y - d, -4*t - y + 5 = 0. Which is greater: -2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2279 < -2278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 2*z**2 + 2*z**2 + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3540, 4036, 4548, 5076, 5620?\n\"Answer: 8*h**2 + 472*h + 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/20 - 2\/10. Find the second derivative of 77 - 8*i - 77 - i**h wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 4, t: 11, a: 1, d: 1, k: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7173 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103128 - (63 - 13)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.0732\nAnswer: 0.01464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415591*m + 1 - 415600*m - 1.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26408773 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cacccccccccccaccccc. What is prob of sequence acaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2107560*c**5 + 11*c - 164569 wrt c?\nAnswer: 42151200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*q**5\/7 + 447*q**4\/7 - 1242*q**3\/7 - 36525*q**2\/7 - 12300*q + 85500\/7 = 0. What is q?\nAnswer: -38, -5, 3\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**5 - 7*n**4 - 1849*n**3 - 219*n. Let i(h) = -h**5 - 2*h**4. Let r(s) = -3*i(s) + z(s). Find the second derivative of r(c) wrt c.\nAnswer: 40*c**3 - 12*c**2 - 11094*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.593? (a) 3 (b) -1 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082221160?\nAnswer: 2, 5, 31, 739, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + 2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)*(-2)\/4. Let y be (b + -1)*3\/(-3). Solve -5*i = 2*n, 0 = -5*i + y + 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:37 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.404585 + 4.4. Round d to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*i**3 + 2*h*i**2 - 1793001*h*i + 7918262*i**3 wrt i?\nAnswer: 6*h + 47509572","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 - -0.17. Suppose 10 = -w + 6*w. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*15\/10*-10. Which is the third smallest value? (a) s (b) 0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 4. Suppose w*p - 20 = p. Calculate the remainder when 39 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1224 (b) 1\/3 (c) 27 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 12, 186*j - 8 = 2*q + 188*j for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 3*g**2 - g + 2. Let d be x(-3). Suppose d*i = i - 16. Let w = 11 + i. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 7307\nAnswer: -66\/7307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 28, h - 6*o + 3035 = -5*o. Is -3042 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*n - 8632 = 3*l - 7870, n + 5*l = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*a**2 + 61*a**2 + 11*a**2)*(1 - 1 + 1)*(-21 + 109 - 29)*(0 - 1 + a + 0*a).\nAnswer: -3422*a**3 + 3422*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -b - 38. Let i = b + 74. Solve -z + 3*s = -8 + 19, s + 3 = -i*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -135*u - 128*u + 263*u - u**2. Let x(v) be the second derivative of v**4 - 3*v**2\/2 - v - 147. Determine m(x(g)).\nAnswer: -144*g**4 + 72*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -149, -338, -605, -950, -1373?\n\"Answer: -39*g**2 + 6*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3976659846363119\/658 - -6043554364522. Let u = j - -1632989. Let d = u - -26\/47. Calculate the common denominator of 47\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20002101212210 (base 3) to base 6\nAnswer: -153205120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -139. Suppose -g*a - 12 = -9*a. Solve -6 = -a*c, -2*n - 4 = -6*c + 4*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3*n - 11, 58*z + 3*n - 17 = 56*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6913*g**6*z + 68*g**4 + 2988622*g**2*z wrt g?\nAnswer: -829560*g**3*z + 1632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12 + 32 = 0. Let k be x*(6 - (-10)\/(-4)). Is k at least 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 + 4*j - 7. Let h = -17 + 23. Let v be l(h). Let q = -70 - v. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337896 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**44*x**(1\/3)\/(x\/x**(3\/5)) assuming x is positive.\nAnswer: x**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 + 4304*m**3 - 30030*m**2 = 0. What is m?\nAnswer: 0, 7, 2145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36909.30988 - -36951.30987918. Let x = 42 - l. What is x rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359217533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 13787?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64396562 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 3*z**2 - 3*z**2)*(1 - 3 + 4) - 12*z**2 + 12*z - 12*z.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79256969 is divided by 1979.\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/5)\/(8\/30). Let z = 1.2 + -0.7. What is the closest to -0.3 in 4, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45123\/2 + -22005. Let g = t - 3431\/6. Find the common denominator of g and 1878\/1152*8 - 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184 + 186. What is the lowest common multiple of x and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -65*v**4\/12 - 23*v**3\/6 + 5*v - 4. What is the second derivative of z(g) wrt g?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*o + 3*s - 63 = -113*o, 4*o + 3*s + s = 96 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2502.523328 take away -54?\nAnswer: -2448.523328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*w + 3*t - 100, 2*w - 2*t + 54 = 0. Let h(j) = -j - 22. Let l be h(w). Let y(d) = -2*d**2 - d + 1255. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + a - 5. Give v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**4 - r**3 + r. Let s(m) = -660*m**4 - 2*m**3 + 2*m - 543. Let u(c) = -2*k(c) + s(c). What is the derivative of u(b) wrt b?\nAnswer: -2648*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/9)\/d)\/d**(-3)*d*d**5*d*d**(-5\/3))**16 assuming d is positive.\nAnswer: d**(1168\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*j**2*y**2 - 292*j**2 - 36*y**2 wrt y?\nAnswer: -58*j**2*y - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(1\/8*-14). Let d(f) = -28*f**3 - 3*f - 3. Let q(n) = 29*n**3 + 4*n + 4. Calculate p*d(h) + 3*q(h).\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*t - 5, -4*t - 19 = -5*p - t. Suppose p = f - 3. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 3*o**2 - 2*o - 1. Let r(g) = 7*g**2 - 15*g - 6. Let c(s) = -6*s**2 + 14*s + 7. Let y(t) = -6*c(t) - 5*r(t). Let n be y(10). Determine d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let j(v) be the third derivative of -47*v**4\/24 + 4*v**3\/3 - 11*v**2. Let x(f) = -4182*f + 714. Let o(z) = 357*j(z) - 4*x(z). What is o(q(m))?\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(1088) + sqrt(68)\/(sqrt(32)\/sqrt(8)))*1.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 + v**4\/3 + v**3\/6 - 7*v**2\/2 - 27*v. Let z be a(4). List the prime factors of 125 + z\/(-9)*0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-2) + 12\/((-192)\/(-15352))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16380724 or -49142170\/3?\nAnswer: -16380724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (-42 + -12 + 25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 0.2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20724.2733 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 4530 = 0. Let g = -576 + d. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085673.7 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 17\/2. Suppose 3*b + 10 = s*b. Suppose g + 3*g - 3*q - 35 = 0, -b*q - 15 = -g. Solve 3 + g = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (284\/(-6))\/(13340\/(-9338)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 18 in descending order.\nAnswer: 18, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 1.4. Let p be (2\/(-14))\/(222\/42 - 5). What is the nearest to 1 in -0.1, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/(-114) - (-4 + 201\/54). Which is the second smallest value? (a) 4 (b) -27 (c) -0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14431 - -25495. List the prime factors of f.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -264*m**2 + 7202.\nAnswer: -528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38309\/18 + -2127. What is the common denominator of (-262)\/24 - (-5)\/(-20) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 - -17?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**2 - 5*a + 3. Let k be c(3). Let x(g) = g**2 + g. Let n be x(3). Calculate the highest common factor of n and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448398, -896625, -1344852?\nAnswer: -1793079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77060514 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 90 = -4*a. Let k(y) = y - 1. Let x(i) = -15*i + 18. Let l(o) = a*k(o) + x(o). Let r(c) = c**2. Determine r(l(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-194)\/3 + 0)*-3. Suppose -3*d = -4*h - 567 - l, d = -h - 199. Calculate the common denominator of 79\/12 and h\/8*6\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b2693b (base 13) to base 16\nAnswer: 89117b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -63*k**2 - 145*k. Give j(-3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/21)\/y*y*y\/y**(4\/9)*y**(-1\/9)\/((y\/y**(-9))\/y*y))**(6\/7) assuming y is positive.\nAnswer: y**(-1192\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 1. Let x be f(-1). Let y be x\/5 + -3 + (-39)\/(-15). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-3)\/6*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 72*n**2 + 642*n - 68. Give y(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3211?\nAnswer: -3211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*i + 72*i + 44. Suppose -4*f = -8*o + i*o - 11, -8 = -o + 3*f. Solve 3 = o*s - 3*b, 2*s + s + 7 = 4*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*c**3 - 14496*c**2 - 72964*c - 104044 = 0.\nAnswer: -19, -37\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (20\/(-3))\/((-68)\/918)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/148 + 1643\/740. What is the closest to -1 in 5, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*r + 1708*b - 1705*b, -7*b + 53 = 4*r + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 7*l - 11*l = -4, -l = i + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 + 81076*o\/5 - 730008\/5.\nAnswer: 4*(o - 9)*(o + 20278)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 19 = -3*g. Let j(r) = r**3 + 4*r**2 - 2*r. Let d be j(-4). Solve -3*m = -d*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 0. Suppose -4*t = 5*a + 13, -3 + z = 4*t + 3*a. Suppose -2*u + 3*w - w + 192 = 0, -t*u - 2*w = -298. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/3553)\/(30\/(-114))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*a - 3 + 2, 3*u = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from xsxxssxssxss?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + 0. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.304 + -0.26. Let t = r - -0.13. What is t rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21.4 (b) -5 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.024 + 111.024. Let d = q - 31. Let b = d + -80.0228. Round b to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -190*m**3 - m**2 - 2*m - 8. Is 12 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 2*b**3 + 2*b**3 - b**3 - 13 + 13 + (-b + 0 + 0)*(4*b**2 + 2*b**2 - 3*b**2) to x*b**3 + l*b**2 + w + a*b and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:21 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061517259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + 7*z**5\/60 + z**4\/4 + 5*z**3\/6 + 4*z**2. Let g be o(-6). Let r(b) = 7*b - 2. Does 10 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102.871 and 1457.\nAnswer: 149883.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123848*n**3 + 124687*n**3 - 248532*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.02874kg?\nAnswer: 7028740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82656 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 539?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/720 + b**5\/20 - 13*b**4\/12 + 3*b. Let g(z) be the third derivative of h(z). What is g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 149412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125 + 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let p be m(1). Let f be p + -2*27\/42. Which is the closest to 0.1? (a) -4 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 561*l**3 - 119*l. Let a(r) = -28*r**3 + 6*r. Suppose 4*p - 7 = 5*i + 7, 16 = 4*p - 4*i. Calculate p*k(v) + 119*a(v).\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*b + 8 = -5*g, 4*g - 2*b + 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -110. What is the third derivative of 18*g**2 + z*g**2 - 18*g**2 + 13*g**6 wrt g?\nAnswer: 1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5521750, 11043308, 16564866, 22086424, 27607982?\n\"Answer: 5521558*n + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889122532 to the power of 1\/2, to the nearest integer?\nAnswer: 43464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8*3\/10*(-170)\/306?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.65555, 1\/3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21 - 19 + 3 - 2*f + 5. Calculate c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 1.3. Let i be (-4)\/18 + (-80)\/(-198). What is the biggest value in i, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 4, a: 9, k: 4}. Give prob of sequence akku.\nAnswer: 9\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/3*(-23)\/2. Suppose 0 = -4*c + 12, q - 5*q + z = c. Put q, 3, 1 in ascending order.\nAnswer: 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 - (-12 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, 5, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -660 (base 12) to base 8\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.841, -47\/5, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 13}. Give prob of picking 2 d.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 364165\/7 (b) -2\/5 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikizkby. What is prob of picking 1 z and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9163.8, -1\/7, -2\/11 in decreasing order.\nAnswer: 9163.8, -1\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 + 1356*r - 26486 = 0.\nAnswer: -697, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/78)\/(44\/(-143))*48\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 2 = -57. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 487 = -279 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182088 and 17655792.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -46147?\nAnswer: -3\/46147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 11*a**2 - 13*a - 12. Let u(n) = n**3 + 8*n**2 - 9*n - 12. Let i = 20 - 29. Let g be u(i). Let d be y(g). Solve -3*l + 0*l + 6 = d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 38 - 183. Is c a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3319 (b) -8\/5 (c) 5\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12230223 (base 4) in base 10?\nAnswer: -27435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 3, 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*r**2 + 958*r**2 + 219*r**2.\nAnswer: 1021*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 4*u + m + 2 - 3, -10*u = 2*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than -38409\/6322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**5 - 2783438*m**3 + 1203*m**2 - 28*m + 7?\nAnswer: -420*m**2 - 16700628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**3\/3 + 1. Let d(u) = 3*u - 8. Let t(p) = -2*p + 6. Let m(j) = -3*d(j) - 4*t(j). Calculate y(m(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2334*t**3 + 1166*t**3 + 1169*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 846*h - 4231. Let n be z(5). Put -2, -5, -6, 8, n in decreasing order.\nAnswer: 8, n, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 15. Suppose -5*t + 2*t = 0. Sort t, 2, i in descending order.\nAnswer: i, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 79, 75, 69, 61?\n\"Answer: -h**2 - h + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -68.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 37*k**2 + 25*k + 21. Does 89 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*27\/2. What is the remainder when w\/21 + (-1574)\/(-14) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 0*t**2 + 0*t - 72\/5*t**5 - 19*t**3 - 2 + 1\/4*t**4. Find the third derivative of o(j) wrt j.\nAnswer: -1728*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37592 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(125) + 2 - (-2 + (1*sqrt(35))\/sqrt(7))))**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314 + 4?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + 3 + -5 + sqrt(1008) + -2 + 2)**2.\nAnswer: -72*sqrt(7) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*x - x + x - 5.\nAnswer: -2*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x**2 - 6*x + 30. Calculate t(5).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + 52\/176. Let y = 4.1 - -0.9. Let m = 1.971 - 1.971. What is the closest to m in 1, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 33 + 2. Suppose u*r = 9*r. Suppose 10*y - 3*y - 1757 = r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*(-2*q**2 - q**2 + 0*q**2 + (8 - 3 - 2)*(2*q**2 + q - q))*((-1 - 1 + 1)*(0 - 2 + 4) - 3 + 1 + 0 - 3 + 0 + 5 - 5 + 3 + 3).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1748956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/2 + -9 + 8. Let n(m) = m**3 + 4*m**2 - 6*m - 2. Calculate n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 135*q**4 + 3*q**3 + 3*q + 46. Let s(b) = -b**4 - b**3 - b - 1. Let d(g) = 3*s(g) + v(g). What is the first derivative of d(t) wrt t?\nAnswer: 528*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n + 0 + (1 - 4 + 5)*(-2*n + 5*n - n))*(-3823*n + 1923*n + 1671*n).\nAnswer: -687*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1612 - 1608 - (-68 + 6).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvw when three letters picked without replacement from {e: 6, w: 3, k: 2, v: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16095 + -16046. Solve 21*h = -c - 77 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -13*g**4\/24 + g**3 - g**2. What is the derivative of q(s) wrt s?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*((-322)\/69)\/(1*-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 22. Let t = 9.3 + -10. Let u = 1 + t. Put u, 4, h in increasing order.\nAnswer: h, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33994572203875 and -4.\nAnswer: -33994572203879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/((-14)\/(-4)) - -6) + -2. Let x be ((-2)\/4)\/(48\/20 - z). Let m = -0.64 + 4.64. What is the third smallest value in m, x, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46879228*j - 103672700 wrt j.\nAnswer: 46879228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22862 and 5474?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 1. Let f(i) = -i**2 + 2*i - 660. Determine -f(h) + 2*v(h).\nAnswer: h**2 + 2*h + 662","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = -2*i, -b + 2*b = 2*i - 2. Let o be 6\/(b\/(-288)*2). Calculate the highest common divisor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 4*t)*(-537 + 1069 - 547).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -87338, -88368, -89398, -90428, -91458?\n\"Answer: -1030*t - 86308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01441 (b) 2\/173 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + 0*h - 3*h + (-2 + 3 + 0)*(-3 - h + 3) + 13*h + 78 + 4*h - 80)*(7 + 14 + 3*h - 11) to k*h + v*h**2 + i and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1305*s**3*y**4 + s**3*y**2 + 2*s**3 - 497*s**2 - 14*y**4 wrt y.\nAnswer: 31320*s**3*y - 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -128039?\nAnswer: -3\/128039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5206589?\nAnswer: 19, 89, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2034168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - 3*u**2 - 4*u + (-2*u + 7*u - 2*u)*(4 - 4 + 2*u) + (3 - 12 + 3)*(6*u**2 - 3*u**2 + 0*u**2) as g + n*u + z*u**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - -0.4. What is the closest to -2\/7 in 2\/7, r, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kck when three letters picked without replacement from cckckkkkck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83654, 334615, 752884, 1338461, 2091346, 3011539?\n\"Answer: 83654*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:15 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -951.\nAnswer: 5\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/15, -8, 5, 14.6771?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0 (b) 3\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3222 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 6. Let v be i(0). Let r be (-4)\/v + (-44)\/165. Let 0 - 2\/5*o - r*o**2 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -146437 and -146522 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = y - m, 2*y - 3*y + 32 = -5*m. Suppose -5*r + 8 = 2*o, -2*o - 2*o - 4 = 0. What is the greatest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -17, 32, 75, 112?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 7\/3 (c) 8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*((sqrt(80)\/(sqrt(90)\/(sqrt(18)\/sqrt(2))) - (0 + (2*sqrt(88))\/sqrt(11))) + 2).\nAnswer: -9 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v - 10. Let p be w(-6). Suppose -3*h - p = -8*h. Let q = -0.1 - -0.2. Which is the nearest to q? (a) h (b) -0.3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*r - 74800 = 565*r + 387*r + 599*r for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*r - 662*r**3 - 444*r.\nAnswer: -662*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333198 = -63*w + 150832 - 38368. What is the highest common factor of 54 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 2 + -2 + (74 - 67) + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -13*z + 146 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183768, -182544, -181316, -180084?\nAnswer: -178848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 148 (base 12) to base 13\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*(-4 - 260\/(-30))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let y be g(0). Suppose y = 3*j + 1 - 16. Let d(t) = -4*t - 4. Let a(m) = -9*m - 9. Give j*d(h) - 2*a(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -15519.\nAnswer: -15519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 300546?\nAnswer: 4808736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4497\/(-8970) - -1*2\/4. Let p be (55606\/6)\/(2990\/3). Let n = p - v. What is the common denominator of n and 7\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 5 - 4 + z**2 + z**2. Let o(y) = 2*y. Calculate o(g(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/135)\/(4\/6)*1050\/60.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 - 3*t + 2. Let v(l) = 5*l**3 + 12*l**2 + 11*l - 7. Let b(u) = 9*f(u) + 2*v(u). Let q be b(4). Solve q = -0*h + 5*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, p: 1, h: 1, c: 2, e: 1}. Give prob of picking 1 h and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1214, -1213, -1212, -1211, -1210?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -5)\/(-4 - -3). Let y = j - -12. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*s - 90, 0 = -2*n - 3*s - s + 40. Suppose n = 2*j + 2*j. Let q be 2\/(1*j\/30). Solve -5*o = 2*y - 1, -5*o - 5 - q = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/7*(-36)\/(-18))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let c = -480\/7 + 1438\/21. Sort c, 0.3, f in decreasing order.\nAnswer: 0.3, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -2 - 7) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -1.528764096688.\nAnswer: 2.471235903312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaakaaaaaaa. Give prob of picking 1 k and 2 a.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3026 and 138900965.\nAnswer: 277801930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 8?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at most -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145555421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 3. Let t(v) = v**3 + 10*v**2 + 8*v - 7. Let p be t(c). What are the prime factors of (-3)\/(p\/(20\/(-3)))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.96779 meters to centimeters.\nAnswer: 3396.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, 3, -2, 19 in descending order.\nAnswer: 53, 19, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164380 and 490?\nAnswer: 8054620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(0 - 1\/5). Let p(h) = -4*h**2 + 5*h + 2. Let k(z) = -z - 2 + 5*z**2 - 5*z + 0*z. Calculate c*k(d) - 6*p(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1510 - -1509. Let s(u) = -2*u**2 + 3*u. What is s(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**8\/960 + k**7\/2520 - k**6\/720 - k**5\/120 + k**4\/24 - 7*k**2. Let v(n) be the second derivative of t(n). What is v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 619, 1421, 2275, 3187, 4163, 5209, 6331, 7535?\n\"Answer: x**3 + 20*x**2 + 735*x - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -211022002220 (base 3) to base 4\nAnswer: -1223022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 2. Let u(m) = -2*m + 6. Determine -11*f(v) - 4*u(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 2 + 5 + 4*y**4 + 2*y**3 - 7*y**3 + 0*y**2 in the form l*y**3 + k*y + v*y**4 + s + n*y**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - 0.61. Which is the smallest value? (a) 1\/3 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, u: 4}. Give prob of sequence nn.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*q + 468 = -227*q. Sort 1, q, 0 in decreasing order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2263133926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((88\/99)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12636*-100.\nAnswer: 12.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 646?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9461.72 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 21*p**2 + 28*p + 9. Let y be n(-19). Let b = y - -50. Round b to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.37 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(12*(-17)\/(-19380)*20)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 7*j - 550. Let b(c) = 10 + 2 - 2 - 7*c**2 - c**3. Let i be b(-7). What is the greatest common divisor of j and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -7, 1, 3.85, -2\/3, -0.4, -1?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2 + 2. Suppose g + 7 = 2*g. Calculate the greatest common divisor of g and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -11 (c) -28 (d) 2\/3 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = 18*i + 7*i - 23 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045408343 rounded to five decimal places?\nAnswer: 0.00454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -65. Suppose -4*t + 112 = -4*o, 0*t - m*t + 5*o = -90. What is the third derivative of -4*i**5 - 23*i**2 + i - i + t*i**2 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1294*l*s**3*w + 6*l*s**2*w + 34776*s**3 - s**2*w wrt l.\nAnswer: -1294*s**3*w + 6*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109967166*j**6 - 52311226*j**2 - 4.\nAnswer: 13196059920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -190025, -379861, -569697, -759533, -949369?\n\"Answer: -189836*r - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27611 + 27620. What is the third biggest value in -81, s, -0.5?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500c77 (base 13) in base 11?\nAnswer: 105a429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/8*(-11)\/(2090\/1406).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-9))\/(-1))\/((-221)\/((-60333)\/(-182))).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 299 = 107*n - 741 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*g + 634512 = 92152. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 14*y = 1015. Let r = y + -405. Calculate the common denominator of 59\/8 and (1 + (-33)\/36)*r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 q when four letters picked without replacement from lqlaqyqnlqqyhln.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 216*g - 3145. What is z(-21)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/12*-4*(-554)\/(-12) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 2264, 3380, 4512, 5666?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v + 4*o + 35 + 31, 10 + 11 = 5*v - 4*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.6? (a) 8 (b) 43 (c) 3\/11 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.17 - -0.23. Let y = 1674 - 1673.9. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28377\/56 + -4055\/8. Sort 4, -7.6, t, 2 in increasing order.\nAnswer: -7.6, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/13 + 34*n**2\/13 + 20*n\/13 - 192\/13 = 0. What is n?\nAnswer: -16, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.057, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**19*d**(-3) assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 9*p - 13*p - 19*p - 11*p as i + n*p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.2. Let o be (-5)\/52 + (-2)\/(-8). Let y be 3\/2 - 14\/4. What is the nearest to d in o, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*53)\/((-189)\/(-8442)). Calculate the greatest common divisor of 268 and y.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*n + 1, 0 = -3*h + 5*h + 3*n - 18. Let o(g) = h*g + 3 - 6*g - g - 2. Calculate o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -28. Let w be (4\/12*-1)\/(1\/21). Let q = w + k. Calculate the smallest common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + n. Let i(r) = r**3 - 8*r**2 + 8*r. Suppose 588 - 420 = 7*p. Let b be (-1)\/((10\/12)\/(-5)). Let j be b\/3 + -2 + -3. Calculate j*i(y) + p*u(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/16*5 - (12 + -5)*-1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + l - 44, 3*l - 55 = -5*b - l. Let h = 9 - 5. Suppose -h*u + 57 + 339 = 0. Calculate the highest common divisor of u and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003383 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: Which is the nearest to 2\/141? (a) -71\/22 (b) 0.4 (c) -33 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*x - 0*d + d, -4*d + 12 = -4*x. What is the units digit of x - 0 - (-117 + -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52179a (base 12) to base 7\nAnswer: 13644343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63660075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 30 = -3*p. Suppose -5*m + 116 = -2*m + 2*u, 131 = 3*m - u. Let w = p + m. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2111220022121212?\nAnswer: 2111220022121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 560\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 0.09186?\nAnswer: 3.90814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/6 + u. Let f(m) = 6*m**2. What is n(f(r))?\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2170 - 2168. Sort -0.4, b, -3, -7\/5, 1\/6.\nAnswer: -3, -7\/5, -0.4, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19)*1 + 3 + 4 + 0.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7 = 2*q + 3, 4 = 4*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -0.11808455?\nAnswer: -2.47977555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5716767 to the nearest integer?\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-3\/7)*g*g*g)\/g)**(-1\/14))**49)**(6\/13))**(-15) assuming g is positive.\nAnswer: g**(495\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2499*g - 191188. Give h(-79).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y - 5*q + 117, 5*y - 283 = -3*q. Suppose -5*k + k = -y. Suppose -3*t + k = -25. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21303.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Let s be 14\/(-4)*12\/(-126)*6. Suppose 11 + 4 = 5*v. Let q(r) = r - 2. Determine s*p(m) + v*q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f - 25. Let o(x) = -4*x + 6. What is -6*m(j) - 25*o(j)?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83355 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose 12*l + 3 = 13*l. Suppose 0 = 4*g + a - 99, -2*g - l*g + 126 = c*a. What is the highest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**8)**(-28)\/(z*z**(-10\/3)*z*z**15\/z) assuming z is positive.\nAnswer: z**(550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = -14. Let w = 7.3 + -8. Is w > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242575.82 rounded to the nearest 10000?\nAnswer: 5240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 1364?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 7. Suppose 3*u + 5 = s, -2*u + 27 = 3*s - 5*u. What is the remainder when l is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - 1)*(83 - 36).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let m(y) = -3*y**2 + 3*y + 96. Give m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 10. Give z(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 49 = -11*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -122895, 2\/3 in descending order.\nAnswer: 2\/3, 2\/15, -122895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-9 - -7) - (-12 - 2 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - (-3 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgooaa. What is prob of picking 1 g and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3832040 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 716*u**2 + 76*u - 45. Let v be y(-5). Calculate the highest common factor of v and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 + -266. List the prime factors of 1284\/15*(-3 + k\/(-8)).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11330 + 11502. Is 1202\/7 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -582*k**3 + 582*k**3 - 3*k + 5 + k**4 as x*k**4 + v + t*k**2 + p*k**3 + h*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 38*h**2 - 12*h + 48. Let w(o) = 36*o**2 - 11*o + 42. Determine 7*k(x) - 8*w(x).\nAnswer: -22*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(20\/(-4)))\/(10\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1440 + 1413.64. Let p = -25 - y. Let r = 0.96 - p. Which is the biggest value? (a) r (b) -27 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14464515 + 84?\nAnswer: -14464431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**2 - 3*n - 2. Let x be u(3). Let i = 108 + x. Solve 0 = s + 4*c - i, 8 = -5*s + c + c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8648599, -8648598, -8648597, -8648596?\n\"Answer: r - 8648600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 + 5*m + 1. Let p(d) be the third derivative of d**5\/60 + d**4\/24 + 21*d**2 + 2*d. Calculate -f(o) + 6*p(o).\nAnswer: -4*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109519884 by 10548.\nAnswer: -10383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/2803307 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4650, 9312, 13974?\n\"Answer: 4662*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 2.5. Let z = -0.5 + 0.3. Let c = -0.3 - -0.5. Sort z, p, c in ascending order.\nAnswer: p, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-9)\/108 + 357\/72. What is the closest to c in 4, -1, -0.2, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrwwwwwwwrw. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17171867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074459167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 11}. Give prob of sequence oboo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46927, -93694, -140485, -187312, -234187, -281122, -328129, -375220?\n\"Answer: -2*w**3 - 46753*w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 1:28 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 1. Let a = -0.7 + t. Let z = 0.9 + 0.1. What is the closest to 0 in a, z, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872822 divided by 55?\nAnswer: -1872822\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 761*o + 219986. Calculate a(-289).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1171*v + 1694. Let x be i(-5). Which is smaller: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 176521, 353032, 529543, 706054, 882565?\n\"Answer: 176511*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.700000493 - -22.7. What is n rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 16*h**3 - 17*h**3 + 6 - 4*h + 12*h**2. Let y be t(12). Let d = y - -9. Solve -d*b = -b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f. Let v(s) = 26*s**3 + 5*s. Let y be ((-21)\/(-441))\/((-2)\/(-42)). What is y*v(q) + 5*i(q)?\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008947 to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/4)*n*n*n**(-1\/7)*n*n**(11\/2)\/(n*n*n**(1\/51)) assuming n is positive.\nAnswer: n**(7979\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*r**3 - 100*r**2 + 12 - 44*r**3 + 8 - 18 to t*r**2 + s*r + i + h*r**3 and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*k + 5*s, 5*k = 2*s - 0 + 21. Solve -4*g = -2*d - d + 23, 0 = -4*d - k*g - 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k**2. Let p(s) be the second derivative of -115*s - 1\/3*s**3 + 0*s**2 + 0. Give l(p(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*n + 8, -5*l + 2*l - 4 = -4*n. Put -4, -17, l in decreasing order.\nAnswer: l, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 9 - 3. Let z = -2221 + 2223. Suppose 0 = z*w + s*u - 6, w + 0*u + u = 0. Which is the nearest to 0.2? (a) w (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4\/3 - 36365*m**3\/3 - 4573435*m**2\/3 - 4537075*m\/3 = 0. What is m?\nAnswer: -7145, -127, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = 5*y + 37, 2*y + 24 = 3*h. Let f = 6 - h. Which is the closest to f? (a) -3\/7 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = -1. Suppose 272 = 9*q + 38. Calculate the remainder when q is divided by 0*v\/2 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -11. Calculate the remainder when 40 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 26\/3, 1\/5, 2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*g + 3 + 3 = 0, g - 2 = 0. Let v(f) = f**3 - 11*f**2 - 11*f - 8. Let i be v(12). Put i, h, -5 in descending order.\nAnswer: i, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 605 + -469. What is the smallest common multiple of l and 2040?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 56 = -59. Let r = y + -111. Solve 3 = r*h + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129, 112, 83, 42, -11?\n\"Answer: -6*f**2 + f + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 73 - 113 = -5*s, -2*f = 2*s - 68. Let o = s + -71. Put o, -2, -4 in decreasing order.\nAnswer: -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 20. Let k = 323 + -253. What is the greatest common factor of k and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 4*p + 7 + p - 5*p**2 + 3*p**2 in the form j*p + t + b*p**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4493318, -4493323, -4493326, -4493327?\nAnswer: -4493326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**5 - z**5 + 0*z**5)*(-1 - 3 + 2) + 5362*z**5 - 319442*z**2 + 319442*z**2.\nAnswer: 5360*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*j**5 + 29*j**2 + 208279*j - 89*j**2 - 207318*j - 1 wrt j?\nAnswer: 860*j**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a kilometer in meters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -0. Suppose 4*x - 2*j + i*j = -8, 5*j = x - 10. Factor 6\/11*q**3 + x*q - 2\/11*q**5 - 4\/11*q**2 + 0*q**4 + 0.\nAnswer: -2*q**2*(q - 1)**2*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50463?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 49886101*o. Let s(k) = -2*k. What is s(l(y))?\nAnswer: -99772202*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:19 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:49 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 500567383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1697830 (base 10) to base 5.\nAnswer: -413312310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/5 + 140136*j**2\/5 = 0. What is j?\nAnswer: 0, 140136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 + -59. Let l = 9686 + -9673. Calculate the remainder when s is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68904.2246 to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v)**(-43) assuming v is positive.\nAnswer: v**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003599 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 908521.7 minutes?\nAnswer: 54511302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 885, -1, -44, -1\/6 in ascending order.\nAnswer: -44, -1, -0.5, -1\/6, 885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 106?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/((-56)\/(-35)))\/((-2)\/(-4)). Suppose 0 = w - o*w + 40. Solve 0 = -3*l + w + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1008*j*v**5 - 8*j*v**3 - 10*j*v + 3*j + 50*v wrt v.\nAnswer: 20160*j*v**3 - 48*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*g - 9*g. Let d = 19 - g. Suppose d*s = -8, -2*x + 65 = -s - 89. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u - 18. Let j be h(-10). Suppose -311 = -3*w - j. Suppose -13 + 73 = 4*o + 2*k, 4*o - 56 = -k. Solve -z - 4*i + 22 = -w*z, o = -2*z + i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32828936.\nAnswer: 2, 7, 47, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0619 - -0.0619. Let p be (-50)\/(-6) - (-2)\/(-6). Suppose -3*j - j = -p. Which is the closest to z? (a) -2\/9 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from {v: 5, t: 2, z: 3, e: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 21 = 0. What is the highest common factor of 42 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 15*b. Let f be u(10). Suppose 5*k = -2*l + f, 5*l + 10 = 3*k - 2*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n + 77. Let p be s(4). Suppose -2*x = -4 + 2. Sort x, p, 0 in decreasing order.\nAnswer: x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53453268\/7 or -7636180?\nAnswer: -7636180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 + -1 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minutes before 4:27 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 471849494 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889215 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 7. List the prime factors of b(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1630277 and 3556968?\nAnswer: 39126648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**3 + 14*u**2 + 185*u + 688. Give f(-4).\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 4*c**2 - 2*c. Let m be t(2). Let z = -9 - -11. Sort -1, z, m in ascending order.\nAnswer: m, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 2*x - 39, 2 = x + 2*t. Suppose 2*l = -2*b + 7 + 17, -3*l + 40 = 5*b. Let u = x - l. Solve -3 = u*k + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13474674 - -13474580.00043. Let v = 94 + t. Round v to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940 is divided by 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 870*q**3 + 11*q**2 + 17*q + 27. Let t(m) = 174*m**3 + 2*m**2 + 3*m + 5. What is 4*d(y) - 22*t(y)?\nAnswer: -348*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 62.48221 nanograms?\nAnswer: 0.00000000000006248221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 45 = 4*t, -t + 2*t - 10 = -w. Solve -16 = -2*l - 5*q - 0, q = t*l - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 16. Let z be d(8). Solve -3*k = -z*k - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 3:24 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651211486.\nAnswer: 2, 487, 1695289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 33 - 1053. Calculate the greatest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94782, 190199, 285590, 380943, 476246, 571487, 666654?\nAnswer: 761735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, o: 2}. Give prob of sequence ott.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30392389, 30392397, 30392405, 30392413, 30392421, 30392429?\n\"Answer: 8*p + 30392381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -2\/5, -1\/3, -637 in increasing order.\nAnswer: -637, -2\/5, -1\/3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203686 is divided by 409.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3587*l + 9769*l - 16986*l + 3582*l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04361245532 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 17*y + 9635 = 0. Let z = 748 + y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*((-24)\/2 + 7 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-2)\/(-8). Let s be 12 - 3\/(0 + 1). Let v(w) = -18 + 9 + w + s. Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose 3*d + 6 = -4*b, 13 = 2*d + 3*b - 6*b. Suppose 3*x + 5*r - 23 = 0, -d*r + 1 = -i*x + 11. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94695 divided by 1?\nAnswer: 94695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 5*m**2 - 7*m - 1. Let l be s(-5). Let h = l + 20. Let x be 8\/9 - 12\/h. Is x greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 21. Let y(m) = 4*m - 84. Let o(h) = 9*l(h) + 2*y(h). Let u be o(12). Let r be (-4)\/(-10)*5 - -2. Solve -c - u = -r*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 8, -35, -104, -205, -344, -527, -760?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 98*k + 22. Is t(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c + 99. Is m(14) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -178?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3383*g - 3334*g = 1568 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8504 = o, -4*r - 2*o + 5*o + 33988 = 0. What is r rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8851 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 15, l: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86.01 - 1.99. Let f = n + 84.4. Round f to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10.055115 minutes?\nAnswer: 0.00099753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/132*9\/(-2)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49.35 - -50. Round x to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**2 + 5*s**3 - s**2 - 6*s**2 + 3*s**2 wrt s.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1185 = 2*x. Let a = -5946\/5 + x. Which is greater: -5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or 13\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7266447 by -807383.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eddes. Give prob of sequence edes.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31, 12 in decreasing order.\nAnswer: 31, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-400)*10\/(-2). Which is the second biggest value? (a) -2\/9 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 36*f**2 + 115*f - 1594. Calculate l(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400244?\nAnswer: 2, 7, 11, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -35, -0.2, -5, -0.3, -2005?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 8*g + 7. Let s be i(6). Put 4, 2, s in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14*u + 259057 = 9*u, -4*j + 3*u + 259047 = 0. Is j a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 + 160*m**4 + 3252*m**3 + 21296*m**2 + 33466*m + 15264 = 0. Calculate m.\nAnswer: -53, -16, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.68 in 0.1, 35, -4.32, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/5 + 12*y**3 + 554*y**2\/5 + 312*y + 1352\/5 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204458004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169 (base 10) to base 8.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127278776?\nAnswer: 2, 15909847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27029565.\nAnswer: 3, 5, 347, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 75 = -51*o + k, 0 = -6*o - 2*k - 32 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*m. Suppose -l + 114 = m*l. Let q = l - 29. What is the highest common divisor of 99 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/9 + 1492*l\/9 - 2992\/9 = 0 for l.\nAnswer: -748, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 + 3 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:01 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39272704 minus -17.77?\nAnswer: -39272686.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 763677321 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 19 = -t, 1299*t - 1295*t - 8 = 2*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 h, and 1 n when four letters picked without replacement from hhesehhhhenheehe?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6483588365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 217\/4 - 6\/(-8). Suppose 0 = -11*j + 6*j + z. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539, 548, 557, 566, 575?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-6 + 1 - -3). Suppose 3*w - 9 = -3*v, b*w - w + 5*v - 5 = 0. Solve 0 = -0*i - w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 4*m - 7. Calculate d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 1.38. Let x = -3.7 + w. Let r = -5.004 - x. Round r to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 319921*c + 639838.\nAnswer: (c + 2)*(c + 319919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2*g = -9*z + 4766, -2*z = -2*g - 3174. Calculate the remainder when z is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 1 - sqrt(192))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 41 - 27 - 16 - 235*q. Let a(g) = -g**2. Determine s(a(v)).\nAnswer: 235*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 17425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -10514\/9?\nAnswer: -10514\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736903.\nAnswer: 736903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 - k + 1. Let u = -32 + 18. Let l be u\/(-5) - (-4)\/20. What is w(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-12))\/(2\/30). Let d be (q\/2)\/((-1)\/(-2)). Suppose -5*v - 4*m - 28 = 0, d*v + 0*v - 4*m + 12 = 0. Sort -2, 0, v in increasing order.\nAnswer: v, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*g - 1. Suppose -3*u + 4*j = -11, -g*j - 2 = -0*u - u. Solve 5 = -u*r, -2*b + 5 = -3*b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7)**3\/(r*r**(-3\/11))**(-2\/71) assuming r is positive.\nAnswer: r**(16417\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1847570?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -322*o**2 + 588 wrt o?\nAnswer: -644*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 - 7*p. Let r(h) = 3*h**2 - 3*h. Suppose d = 3*a - 8, -4*a - 2*d = -0*d - 24. Suppose s = -s, -3*g = a*s + 15. Calculate g*r(t) + 2*x(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69 - 35)*(-2)\/3*3. Let n(i) = g*i - 258*i + 4*i**2 - 2*i**2. Let t(a) = -2*a**2. Calculate n(t(o)).\nAnswer: 8*o**4 + 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 23*p**2 - 42*p + 84. Let h = 711 - 734. What are the prime factors of c(h)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/12 + 5*c**3\/6 - 2*c**2 - 10*c. Let h be z(-6). Solve -5*v - 25 = 0, -5*a + 16 = -h*v - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*a + 0 - 285*a + 898*a + 32*a**2 + 0.\nAnswer: 32*a**2 + 148*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/300 + 41*q**4\/60 - 1681*q**3\/30 - 3*q**2 + 18. Factor i(p).\nAnswer: -(p - 41)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243176880 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152476368 to the power of 1\/2, to the nearest integer?\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48228)\/(-40) - 3\/(-90)*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 at most 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -32*9\/(18\/(-8)). Suppose -2*p + 4*a = -l, a + 3*a = -3*p + 212. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185504659.\nAnswer: 211, 879169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -95, -144, -213, -308, -435, -600?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7*i + 9 = 0. Let c(p) = 12*p**2 - 6*p - 12. List the prime factors of c(i).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 74*u + 450. Let n be q(-6). Solve k + n*d - 9*d = 0, -3*k = 4*d - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825.7575 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17086?\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*g + 10 = -7, -4*q - 20 = 4*g. Which is bigger: q or 3\/218?\nAnswer: 3\/218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddf when three letters picked without replacement from {f: 1, d: 9, z: 1, g: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a0a05 + 1?\nAnswer: 9a0a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1061 + -435. List the prime factors of l.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 400, 2, 5, 198, -76, 0.\nAnswer: -76, 0, 2, 5, 198, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 - 188. Let d(r) = r - 187 + 112 + z. What is the remainder when d(-11) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 8. Let g be x(8). Suppose 0 = -2*m + 3*q + 1, 3*q + g = 5*m - 0*m. Solve -m*b - 10 = 0, -s - 3 = -0*b - b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 108 in decreasing order.\nAnswer: 108, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Suppose 0 = -a*g - g - 5*h + 55, 5*g + h = 35. Solve 5\/2*n**2 + g*n + 2 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038572917 rounded to four dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 32*c**2 + c + 13. Calculate q(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155919810 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -q - 14*s + 12, -24 = -5*q + 2*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4011023444 (base 5) to base 11\nAnswer: -4511440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/44 smaller than 1.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -67. Solve -5*l - z = -2*d, -d + 4*l + 17 = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 12. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521 - 2*m + 706 + 1037 - 37 - 368.\nAnswer: -2*m + 1859","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 5*f + 5. Let o be (-3)\/(-12) - (-42)\/(-8). Let s(y) be the first derivative of -y**3\/3 - y**2 - 2*y + 6. Calculate o*s(m) - 2*k(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 16\/135*v**6 + 45 - 176\/9*v**4 + 0*v + 479\/135*v**5 + 121\/3*v**3 + 1\/945*v**7 + v**2. Determine t, given that j(t) = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 + 2*m + 9. Let w(g) = -1. Let s(y) = 2*b(y) + 18*w(y). Suppose s(n) = 0. Calculate n.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, q: 2, k: 1, j: 1, x: 1}. What is prob of sequence xqqj?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (7 - (11 + 2 + -2)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*f**5 + 35610*f**4 - 1318490*f**3 + 4407480*f**2 + 1184832*f = 0. Calculate f.\nAnswer: -4488, -1\/4, 0, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74867\/28971 + -75\/29. Let u = 66937\/1998 + v. Which is bigger: u or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1938)\/(-30) - (-3 + 1). Let m = x - 67. What is the third biggest value in -4, -2, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-30) - (-6 - 176\/(-33)). Let r be ((-3)\/9)\/(1\/4). What is the closest to k in -1, -7, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 3\/(-12)*2. Let y = -305 - -309. Which is the second biggest value? (a) p (b) y (c) 1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104787363 is divided by 1082?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842322933*f**3 - 90665042*f.\nAnswer: -5053937598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, e: 4, v: 1, s: 3, i: 1, h: 5}. What is prob of sequence ivhi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 296909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + i + 118 = 0, w + 4*i - 178 = -40. Suppose 0 = 127*o - w*o - 185. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -278 + 277.923. Let j = h + 2.777. Round j to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -6, -11, -16, -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-4)\/(-28)*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*x - 59*x + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35568*a**2 + 155*a + 160 - 17784*a**2 - 17779*a**2 + 130.\nAnswer: 5*(a + 2)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/36 + 58\/56. Let d = -3 + 2. What is the closest to a in d, -4\/5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 124 + 0 = 0. Suppose o + 0*o = -y + 7, 0 = 2*o + 3*y - 10. Calculate the remainder when t is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*b + 3 = 0, 0 = -3*b - 8 + 2. Let s(h) = h + 1. Let x be s(-4). Let m be (4\/x)\/((-30)\/45). Sort -0.5, o, m in decreasing order.\nAnswer: o, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -66*t**2 + 791*t + 1. Give d(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -190\/543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32612\/25 or 1305?\nAnswer: 1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 - (-296)\/(-176). Let q = 1278 - 1277.8. Which is the nearest to 0.1? (a) 5 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 279?\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 42775520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -125592\nAnswer: 5\/62796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:19 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11026.68864035 + 0.4\nAnswer: -11026.28864035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13625880 and 65364.\nAnswer: 177136440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 3. Suppose -5*d = 4*p - p - 41, 2*d + z*p = 20. Suppose -61 = -d*h + 121. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*b - b - 48, 0 = -5*q + 3*b - 28. Let h(r) = -r - 10. Let k be h(q). Is ((-1)\/(-3))\/(k\/(-114)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4347*i - 17*i**2 + 8651*i - 4304*i.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*i - 341. Let u be (-1 - 2)\/(2\/i). Suppose 4*l + 4*v = 204, u = 7*l - 4*l - 3*v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30585 + 2?\nAnswer: -30583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 868 (base 11) to base 15\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 735411 divided by 237\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4617047 (base 8) to base 4.\nAnswer: 10301320213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2255 - 12?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)*n*n*n**(1\/3)*n*n)**(-2\/43) assuming n is positive.\nAnswer: n**(-274\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, h: 1, z: 5, i: 5, l: 2}. Give prob of sequence hwzi.\nAnswer: 25\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-49) + 195\/35. Solve b = -10 + g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzy when four letters picked without replacement from ytzzysyzstyyy.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = -0*p. Let q = 17 + p. What is the remainder when 38 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-52 - -13)) + 52 + 1.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 11.4. Let y = n - 10.078. Let t = y - 0.022. Which is smaller: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*c**2 - 257104815*c - 9182315.\nAnswer: 5*(c - 1836463)*(28*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*(sqrt(2) - sqrt(8)\/sqrt(4)))**2 - sqrt(2)) + 4*sqrt(2)*1 + (sqrt(90)\/sqrt(144))\/(sqrt(500) - (sqrt(500) + -1*sqrt(500))).\nAnswer: 1 + 121*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*t**3 - 5*t**2 - 519?\nAnswer: 141*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 2:38 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -39222 greater than or equal to -597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:50 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 135) + (561 - 322)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 228*0.05509\nAnswer: 12.56052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s + 80 = 0. Suppose 0*t - 4*t - 104 = 0. Let j = s - t. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1740 - -754. Let q = z - -1063. Calculate the remainder when q is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 - 1) + -2)*0. Solve 2*p = 2*g, z*g = -5*p - g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 4. Let c be z(-3). Let y = -8 + c. What is the biggest value in 0.5, -4, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.05, 25\/7, 3.\nAnswer: -0.05, 3, 25\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 27*u**3 + 218*u**2 + 24*u + 23. Determine d(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3102 and -5\/6232.\nAnswer: 9665832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - k - 2. Let i(z) = -z**2 - 4*z + 2. Let f be i(-5). Let m be 3*f\/9*4. What is the remainder when 3 is divided by h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0139+4979\nAnswer: 4979.0139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 4*a + 29. Let z be 2\/3 - 30\/(-9). Let h(u) = -3*u**2 - 7*u + 57. Let o(r) = z*h(r) - 7*i(r). Find the first derivative of o(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 984*j**3*p - 400*j*p - j - p wrt j.\nAnswer: 5904*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*m - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 11\/(-3))*6. Suppose u - 10 = -4*u. Suppose -4 = u*q - 4*q. Solve l*n = -q*m - 22, 3*n + 7 = m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063815106?\nAnswer: 2, 1031907553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -78*q - 620. Let k be j(-8). Which is the biggest value? (a) k (b) 0.06 (c) 0.4 (d) 5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 c when three letters picked without replacement from cttcckcckkk.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21 + (-984)\/280*(-7)\/(-42).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 96*k**3 + 6*k**2 - 13*k - 14. Let c(b) = -b**3 - b**2 + b + 3. Let l(u) = 6*c(u) + w(u). Find the second derivative of l(v) wrt v.\nAnswer: 540*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 344.81 and 3.\nAnswer: 347.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(20 + (-18965)\/990). Let n = -18847\/3340 - t. Find the common denominator of ((-62)\/(-4))\/(2\/(-3)) and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from {t: 3, z: 2, n: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2935, 2896, 2795, 2602, 2287, 1820, 1171?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 300*z - 299*z + 6, -4*w - 3*z = -14. Let y(q) be the second derivative of -2*q**w - 11\/6*q**3 + 0 - 10*q. Differentiate y(r) with respect to r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0*j**2 + 0 - 11*j + 1\/12*j**3 - 7\/72*j**4 + 1\/60*j**6 - 7\/120*j**5. Solve f(x) = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20973144, 20973146, 20973148, 20973150, 20973152, 20973154?\n\"Answer: 2*z + 20973142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 46*q = -45*q - 25, 3*t - 3*q = -30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -1\/12566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185 divided by -187?\nAnswer: -6185\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211\/15853 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11426 - 5266. Is x a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - l - 11 = 0, -i = -1377*l + 641*l - 2204 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/4))**(32\/3)\/(a\/a**11*a**10) assuming a is positive.\nAnswer: a**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 709?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**18*o)\/o*o**(-10\/3)\/o*(o**(-6\/17)\/o)\/((o**1\/o)\/o) assuming o is positive.\nAnswer: o**(730\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 - 580*t**4 - 3990*t**3 - 7940*t**2 - 4528*t = 0. Calculate t.\nAnswer: -283, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13429988 to 4 dps.\nAnswer: -0.1343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344119833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109381.\nAnswer: 7, 13, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -47. Let w(y) = -1 + z*y - 19*y + 6*y - 20*y**2. Let o be (-189)\/(-42)*(-2)\/(-18)*-2. What is w(o)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 divided by 125?\nAnswer: 532\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(sqrt(320)*-3 - (sqrt(10) + sqrt(10)*-3)\/sqrt(2)) - (3 + (4*(3 + sqrt(5)))**2 + -1)).\nAnswer: 678 + 486*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955860375 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14*o - 11. Let g(y) = -5*y + 4. Calculate 4*c(w) + 11*g(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 23. Solve -g*m = -3*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 30. Suppose 3*h = 201 + j. Suppose k = -p + 25, 3*k + p = -0*k + h. Calculate the highest common divisor of 65 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-2\/5)*d))\/d*d\/(d*d*d**(-1\/9)*d*d*d) assuming d is positive.\nAnswer: d**(-157\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = k - 70 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 45*o + 92. Let t be w(-2). What is the greatest common factor of t and 418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 times 0.04947\nAnswer: -1.43463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + 4342?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 215, 228, 249, 278, 315, 360?\n\"Answer: 4*p**2 + p + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.788611 less than 34852124?\nAnswer: 34852121.211389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/97351 and -43\/1072.\nAnswer: 1557616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76)*-2)*2 - ((-2*sqrt(76)*4 - sqrt(76))**2 + 3).\nAnswer: -6161 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48340 and 19720?\nAnswer: 47663240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*i + 2*i + 182, 5*h = -3*i + 255. Suppose -36*s - 4356 = -h*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 80517663044?\nAnswer: 80517663042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-10)*y*y**(3\/8)\/y)\/(y\/(y\/y**(1\/7)))**(-4\/17))**(-45) assuming y is positive.\nAnswer: y**(410895\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)\/(2\/8*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svqmswwq. Give prob of sequence sw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 84*u + 45 + 194*u + 257*u as c + h*u and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6029, -12061, -18093, -24125, -30157?\nAnswer: -36189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and -48052788?\nAnswer: 48052786.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(176) + -1 - (sqrt(117)*-3*5)**2.\nAnswer: -26326 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (92\/4 - 1) + 7.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10804.1001 - -10820.1. Let w = -16 + g. What is w rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*s = t + 22, -2*t + 18 = 4*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 8. Let p(y) = -12*y - 17. Let x(w) = -5*o(w) - 3*p(w). Let t(c) be the first derivative of -1 + c - c**2 - 4*c - c. Calculate 8*t(r) + 3*x(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 19*h**2 + 21*h - 49. Let n be x(18). Solve -v + n*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10804569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 40 = 0. Let z = 24 - r. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 37*o - 2. Calculate f(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/2*14\/(-35)*5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 - (74 - (23 - -51))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 36, 0.4, -0.2, 23?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -186. What is the highest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 6*w**2 + 6*w. Let f(t) = -5*t**2 + 3*t. Let s(v) = v**2 - v. Let d(i) = -f(i) - 4*s(i). Calculate -6*d(r) + g(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-10)\/(-65) - (-162)\/(-39) - -123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7 + 2 + 3 + 2*x - x. Let v(q) = 2*q - 3. Let l = -3 + 0. Give l*v(p) + 4*j(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 1 + (-1463)\/(-66) and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 1589 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -71065?\nAnswer: 7106c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/6112 and -49\/2292.\nAnswer: 18336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/19 + 207\/95. Let s be 3 - -1*(-2 + 1). Suppose 0*g = s*g. Sort g, 2\/9, d in ascending order.\nAnswer: g, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 9:55 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -29. Calculate the greatest common factor of j and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:40 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*o - 16, -4*o + 4 = 6*c - c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 1. What is the lowest common multiple of 1 and k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b - 3. Suppose -4*v - 78 = 2*v. Let m = 10 + v. List the prime factors of n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (-15 - -6) + 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12488\/6690 + 2\/15. Solve 25 = -5*u + 4*i, 0 = 8*u - 4*u + o*i - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -133. What is the nearest to -2\/7 in -19, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2 + 14*w - 12*w + 2. Let m(h) = -6*h**2. Calculate m(o(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, 18, 20, 8, -24?\n\"Answer: -m**3 + 2*m**2 + 11*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1709*48\/(11 - 3) + 0 + 7. Calculate the greatest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 318? (a) -132\/17 (b) 0.4 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 2*z - 65, 3*z = -715665*d + 715671*d - 105 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 163, 234, 303?\n\"Answer: -w**2 + 76*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 - 13*f + 2. Calculate g(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384932466, -769864932, -1154797398, -1539729864, -1924662330?\nAnswer: -2309594796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**3 - 3*f - 2. Let k be y(-1). Is 14\/k + 2 + 46744\/32 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3640 - 3639. Which is the closest to i? (a) 40 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 2))*4 - sqrt(12)*-5.\nAnswer: -8 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 429675.\nAnswer: 49\/429675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g**3 + 16877 - 16877.\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -56. Is x less than or equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 43, 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 2*c + 4. Let i be x(4). Let h be (3\/(-34))\/((-7)\/i). Let f = -5\/34 - h. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/323, -156, -0.1, -2?\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 639, 933, 1197, 1425, 1611, 1749, 1833?\nAnswer: 1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + k + 3 - 3 - k + (-5*k + 0*k + 3*k)*(-6 + 3 + 4) - 3*k - k + 3*k + 1 - k - 1 - 986 - 59*k + 986)*(1 + 4 - 2).\nAnswer: -189*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 67691?\nAnswer: -67695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/(-39)*2\/4*6. Let a be j\/(-84) - (-5)\/((-630)\/(-236)). What is the fourth biggest value in -1, 2\/5, 2, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {w: 3, y: 6, l: 6}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1888 + 690 + 515 + 102*o + 683.\nAnswer: 102*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 12, 5*v - 28 = 3*s. Let n(u) = -u**3 + 8*u**2 + u + 3. Calculate the lowest common multiple of n(v) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 503826*j**3 + 441539 wrt j.\nAnswer: 1511478*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2, 0.4 in ascending order.\nAnswer: -5, -2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -4, 15\/16, 4 in decreasing order.\nAnswer: 4, 15\/16, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -22.4. Let k = 2666 + -2667. Sort 0.1, 1\/2, r, k.\nAnswer: k, 0.1, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662975 is divided by 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/13 - (-432)\/(-4836)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2494\/7 - (-24)\/(-84). Suppose 0 = -v + a - 2*a + 168, -3*a - y = -2*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2200)\/825)\/(((-2)\/3)\/((-7)\/(-28))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, m: 2, p: 1, l: 4}. What is prob of sequence lqmp?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139056127*o**3 + 229879885*o**2.\nAnswer: 834336762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zozz when four letters picked without replacement from {o: 4, z: 5, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/8)*x*x*x)\/((x*x\/(x\/((x*x**(-10)*x)\/x))*x)\/x))**40 assuming x is positive.\nAnswer: x**485","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7a4b7 (base 13) to base 4\nAnswer: 312120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375243 a multiple of 1449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 - -96 - 104\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 4. Let c be p(10). Let r = c + -9. Let w = 20 + r. Solve 2*t + 6 = 4*s, -w*t = -0*s + s + 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10*w = 5*w + 1, 3*l - w = -8. Let o be -3*(l\/9 - -1). Is 51\/6 - (-1)\/o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34\/5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*d + 6 + 5, -4*d - 3*c + 10 = 0. Which is smaller: d or 24\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/20 + n**4\/6 - 13*n**3\/6 + 2*n**2. Suppose 3 = -3*p - 15. Is g(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 5*p + 3*p)*(24*p - 3*p - 352*p) + (2 + p - 2 + (2*p - 3*p - p)*(-4 + 0 + 2) - 3*p + 4*p - 2*p)*(p - p + 2*p) as s + r*p**2 + j*p and give r.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b + 22*b - 3*b)*(-3 - 2 + 7)*(5 + 0 - 4)*(6 - 1 + 2) as c*b + d and give c.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 50466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30391?\nAnswer: 30391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.358 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1457808 (base 13) to base 7\nAnswer: 106002264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -345 - 32 + 11 + 86*z - 3*z**2 + 103*z.\nAnswer: -3*(z - 61)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68)\/sqrt(4) + 4 + (sqrt(153)*-2 + sqrt(153))\/sqrt(9)))**2*-3 + 1 + sqrt(833) + -1 + sqrt(833) + 1*(sqrt(833) + -2).\nAnswer: -194 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*c - u, -115*c + u = -114*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liliiioiiiioooli. What is prob of picking 2 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(70)*-2 + sqrt(70))\/sqrt(10))**2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383.99994568 - -384. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:08 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 6 (b) 60 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:43 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305767 to the power of 1\/2, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36366, 43509, 50650, 57789, 64926?\n\"Answer: -f**2 + 7146*f + 29221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l - 1772*l + 7*l - 42279 = 57945 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 + -126. Find l, given that 0*l**2 - 4\/11*l**4 + 2\/11*l**3 + 2\/11*l**5 + t + 0*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (1 + -19)) + (-39)\/(-5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 18. Let l be d(6). Suppose l = 2*s - o - 0 - 9, -30 = -3*s - 4*o. What is the first derivative of s*h**2 - 22 - 48*h**2 - 9 wrt h?\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v = 4*m - 646, m = -2*v + 163. Calculate the remainder when m is divided by 10\/(3\/((-33)\/(-2))).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10\/3 (b) -0.4 (c) 3.1 (d) -4 (e) 1409 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(475)*5 - sqrt(475).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 j when three letters picked without replacement from veejeeqqvlvejjqelq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 5*p + 1. Let n be g(5). Let c = 8 - 8.2. What is the third biggest value in n, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*r = -21 - 17, -5*r - 20 = -v. Find the second derivative of v*q + 5*q**2 - 29*q - 13*q**2 + 10*q wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o - 9. Let u be t(7). Let i(h) = h - 3*h**3 - 2*h + 5*h**3 + 2*h**2 - 4*h**3. List the prime factors of i(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.4 + -9. Let l = -0.02 - -0.32. Let o = 0.2 - l. What is the biggest value in k, -5\/4, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + (sqrt(425)*2 + sqrt(425))*-2)*4 + (sqrt(425)*1*5 + -1 + 3)*6)**2.\nAnswer: 24480*sqrt(17) + 4422276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33859.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25909 - -25912. Sort -1, 5, x, 1, 18.\nAnswer: -1, 1, x, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*h + 84*h + 68*h - 5469 + 82*h - 278*h wrt h.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(28)\/sqrt(4) + 2.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1936*p + 53466 + 200150 = 0 for p.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 + 22*j**2 - 64*j**2 - 146*j**2.\nAnswer: -215*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1359 divide 10134278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157856418593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t - 7. Let r be z(-5). Let k(o) be the second derivative of 0*o**2 + 1\/12*o**4 + 0 + 0*o**r + 4*o. Let d(j) = -2*j**2. Calculate k(d(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1609\/6 - (-481)\/(-2886). Solve -232*q + 36 = -y*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14024?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3730 by 746.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 17*c - 121. Let v be i(17). Sort 0, v, -3, 4.\nAnswer: v, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455 divided by -35\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/7 (b) -7.5 (c) 50 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 28*z = 12. Suppose 5*g + 15 = 2*u, -2*u + z = -g - 10. Solve 5*l - 5*d = -4*d - 26, -l - 10 = -u*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*i - 109*i + 14 = -5*j, 5*j - 5*i = -20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6 - 5*t**2 - t**3 - 13*t + t**2 + 11*t. Calculate the remainder when q(-5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -26. Suppose -6*p + 10 + 8 = u. Solve g - 18 = p*y - 6*y, -1 = -2*y + 3*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2412470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10221?\nAnswer: 10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + -3)*6)**2.\nAnswer: -1080*sqrt(2) + 2124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2. Let j(p) be the first derivative of -p**2\/2 - 1. Let a(x) = 5*x + 9*x - 4*x. Let s(b) = -a(b) - 12*j(b). What is s(g(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-140 - -133) + (-2 + -1 + 22 - 4) + -125\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 5*q + 1. Let v(g) = g + 6. What is the lowest common multiple of k(-4) and v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8702716 days?\nAnswer: 75191466.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) + 204\/33 + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -68\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 16*z + 33762 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107 - -110. What is the closest to q in 2, -9, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*i**5*l - 634*i**3*l**2 - 25*i**2 + 5*i*l**2 - 3*l**2 + 2*l - 3 wrt i.\nAnswer: 6120*i**2*l - 3804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**3 - 18*n**2 + 77*n - 228. Calculate f(5).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*j - 63*j = 305*j + 186*j + 44082 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k - 3*k**3 + 10*k + 7*k + 2)*(-489 + 566 - 607).\nAnswer: 1590*k**3 - 530*k - 1060","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*l, -3*l - 3*d + 5 = -l. Suppose -l + 0 = 5*i + 3*p, -i = -5*p - 11. Let g(u) = 2*u - 1 + 7*u**2 + 3*u**2 + 4*u**2. Calculate g(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 5, 2281.\nAnswer: -14, -4, 5, 2281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-45) - (-184)\/18. Let f be (5\/25)\/(14\/v). What is the second smallest value in 1, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Let x = m + -1. Suppose -2*r - 4*c + 10 = 0, 0 = 5*r - 2*c - 3*c + 5. Calculate the remainder when x is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 + 8 = 0. Let w = n - -14. Let m(x) = 3*x + 4. Is 7 a factor of m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368669*p**2 + 737122*p**2 - 369047*p**2.\nAnswer: -594*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (6 - (5 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-62)\/36 - ((-120)\/54 + 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, -17850, 0.1, -3, 0.4?\nAnswer: -17850","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1385*o + 1397*o = 383124. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34 + (-71)\/4)*4\/(-4318) and 9\/7.\nAnswer: 30226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5224197513 - -67199.\nAnswer: 5224264712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3412 - -4?\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 6*s - 4*s)*(-2 + 1 - 6) + 4*s - 3*s + 0*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 4 - -4) + -4 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 6 = -13*p. Let m(d) = -p*d**2 - 4 - 6 - 5 + 14. What is m(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 3 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2115\/224 - -13\/224. What is the common denominator of m and -69\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 315309319813.1.\nAnswer: -315309319812.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/(-3)*1)\/(11\/(4752\/(-27)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -55*o + 5000. Is y(47) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -5*sqrt(448) + 1 + (sqrt(7) - (sqrt(112) - sqrt(7))) + sqrt(7))**2.\nAnswer: -66*sqrt(7) + 7624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/80799 and -103\/92.\nAnswer: 323196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 4:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**3 + r + 1. Let f(z) = 21*z**3 - 9*z**2 + 6*z - 2. Calculate -5*c(j) + f(j).\nAnswer: j**3 - 9*j**2 + j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 11) to base 6.\nAnswer: 10114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 9:25 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01983915 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6264060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -11*z + 486. What is the derivative of 56 - 5*n + 48*n**2 - z*n**2 + 5*n wrt n?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.09 (c) 5 (d) 0.5 (e) 16\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*x**3 - 1156*x**3 + 82*x**3.\nAnswer: -1284*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11211 - 11208. Solve -l*t - 5 = -5*x, 28*t = -2*x + 31*t + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (50\/6)\/(-2 + 258\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 + 4 = 0. Solve b + 1 = -l*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 + 217. Suppose 0 = c*m - 824 + 5. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Suppose 0 = x + x - u*v, -3*v - 3 = 0. Does 4 divide x - (5 + -3 + -31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4531*k - 4533*k + 14 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4674, -5769, -6864, -7959, -9054, -10149?\n\"Answer: -1095*r - 3579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 1707. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*f - 179 = 0, -88 = -4*u - 4*f + 56. Let d = u + -125\/3. Let g = 1 + 5. What is the second biggest value in g, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 9*k + 37. Let u be h(-12). Let j be (5 + u)\/(16\/48). Solve -3*x - 3*o - j = 0, 0 = 4*x - 3*o + 1 + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.176743 to 1 decimal place.\nAnswer: -73.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -21, 161, -3, 1.\nAnswer: -21, -5, -3, -1, 1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216\/7 + 30\/7*g + 6\/7*g**2.\nAnswer: 6*(g - 4)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14316423*l**4 + 10*l**2 + l + 107096.\nAnswer: -343594152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 11, -1, -3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/120 - b**5\/4 - 5*b**4\/6 + 23*b**3\/6 - 3*b**2 - 843*b. What is z(16)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.053 - -5.947. Which is bigger: -11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-3*-3*-6.\nAnswer: -594*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00569031 to four dps.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(1575))*-1)\/sqrt(9).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175381037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405907.\nAnswer: 73, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2 + 2 + 8*a - 2*a. Let c be o(1). Solve 5*g = 9 + c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 19 = -64. Solve 0 = -5*v + g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1644 (base 9) to base 4.\nAnswer: 103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 54 = -21*s + 72. Suppose -2*y + 6 = 4. Solve -s*d = -11 - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuewleluellllelhhu. What is prob of picking 3 h?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, b: 3, o: 4}. Give prob of sequence ob.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 70, 72, 74, 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1005*v + 1030*v - 100 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -916.69263 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:53 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = j + 7*r - 18436, 2*j + r = 36872. Let k = 13735134 - 411501011\/30. Let s = j - k. Find the common denominator of s and 119\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-204))\/(35\/30*(15\/63)\/(-5))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.827 times -2\nAnswer: 1.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 0. Let r = 12 + k. Let u be -3 + 2 - 7\/(-2). Which is the nearest to -0.2? (a) 4 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 4*r, -t - 3*t + 38 = 2*r. Let i(u) = 3*u - 11. Let m be i(t). Solve 3*k - k = -m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 - 252*l**4 - 5283*l**3 + 762*l**2 + 16380*l + 10584 = 0.\nAnswer: -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30862, 61850, 92856, 123880, 154922?\n\"Answer: 9*i**2 + 30961*i - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173102 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 bigger: 484\/661123 or -1?\nAnswer: 484\/661123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let q be (15\/9)\/(5\/180). Let o be 1\/(-4) + 55\/q. Which is the nearest to y? (a) o (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 - 141\/5*n - 18\/5.\nAnswer: 3*(n - 2)*(25*n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-21)\/(-15) - 282\/(-5). Suppose 0 = -2*b + 229 - t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + g = 15, -344 = 5*g - 369 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**2*w**3 - 131*v**2*w**2 + 2*v**2 + 3*v*w**3 + 11*v + 8 wrt v.\nAnswer: -10*w**3 - 262*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -807*y - 33086. Determine h(-41).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*z**2 + 1824*z - 12996.\nAnswer: -4*(4*z - 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 459035917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:16 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*o*z - 280248*l**2*z + 2*o*z - 257*o + 3*z + 35 with respect to l.\nAnswer: -4*l*o*z - 560496*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 2, u: 8, q: 3, p: 2}. Give prob of picking 1 l, 1 d, and 1 p.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 - f**3\/3 + 36*f. Give x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/5))**(-1\/3))**(-6\/23) assuming n is positive.\nAnswer: n**(6\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15572 + -1288?\nAnswer: 14273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -458 + 455. Let u = 4 - 34. What is the closest to -0.1 in u, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -12*x - 472. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l + 1. Let p be b(5). Suppose -2*m + 2*q = 2, -3*q + 13 + p = m. Suppose -m*y + 11 = -809. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(2312\/51)*(-2)\/(-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*((sqrt(1920) - -1*sqrt(1920)) + sqrt(1920)))\/(sqrt(30)\/(3*sqrt(5)) - 6*sqrt(12)\/sqrt(2)).\nAnswer: -576*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 742276771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-812512)\/(-3720) + 12\/(-9). Let f = z - -1968743\/4495. Let p = f - 655. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -4. What is the lowest common multiple of ((-148)\/(-6))\/37*87 and j?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173380 (base 9) to base 8\nAnswer: -321726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 10 = -384*y + 380*y, 0 = -5*a - 5*y - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q - 35*q - q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 h when three letters picked without replacement from fuuhujumhhhhuu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 36506?\nAnswer: 255542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17128, -34265, -51412, -68575, -85760, -102973, -120220, -137507?\nAnswer: -154840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.14 - 9.1399989347. What is l rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 16) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47090 or -46188?\nAnswer: -47090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 636*j**2 + 6687*j + 10854.\nAnswer: 3*(j + 2)*(j + 9)*(j + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165706\/8931 - 3772\/229. Which is smaller: d or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8\/m*m*m**(-2\/7)*m*(m*m\/m**(-2\/3))**(-26) assuming m is positive.\nAnswer: m**(-1273\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 1\/8, 0.3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 75568.032?\nAnswer: 75568.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.94 in -0.29, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1486, -1484, -1482?\n\"Answer: 2*p - 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -274943 - -646943. Let u(d) = 2*d**2 + 3*d. Let c be u(-5). Suppose c*a - 33*a = -n. What is a rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.784082 rounded to 2 dps?\nAnswer: 4.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6864 by -26.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 5. Let l be 16\/5 + 2\/(-10). Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2587674 and 148338.\nAnswer: 23289066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155569576.\nAnswer: 2, 19446197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2566 - -9601. Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.08 (b) 14 (c) 4 (d) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-156))\/((18\/(-24))\/(-9*387\/(-189))).\nAnswer: 86\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161*b**3*h - 2*b**3 + 3599*b**2*h + 1152*b**2 + b*h + 623*b wrt h.\nAnswer: -161*b**3 + 3599*b**2 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 438865 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttttrttrtttt. What is prob of picking 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a. What is the tens digit of o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-1*9\/6)\/(3\/(-4))*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 89*n = 210 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-3)\/8) + ((-11322)\/(-1904))\/111. Which is smaller: -547 or g?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.43249 - 43.41. What is w rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*t**3 - 4*t**3 - 10*t**3)*(8 - 2 + 1) + (-2*t - 4 + 4)*(-t + t + 2*t**2) as f*t + d + o*t**3 + b*t**2 and give o.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209231.\nAnswer: 11, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1142 = 1062. Is 2 + (15\/l - (-117477)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2790*u - 27895. What is a(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 5*s - 8. Let y be (7 - (2 + 0))*-1. Let x be q(y). Let g = 12 + x. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let y = -8 + 32. Suppose 2*m - 4*m = y. What are the prime factors of h(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124344 (base 7) in base 5?\nAnswer: 14001214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/360 - p**4\/2 - 7*p. Let z(q) be the third derivative of o(q). Let b(y) = 4*y**2 - 6*y**2 + 3*y**2. Give z(b(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 14. Let l be x(12). Let z be (10 - 9)*(-18 + l). Let w be 26\/(-26) + z*1. Is 2\/3 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-7*y + y + 2*y) + 280 - y - 123 - 121)*(11*y - 5*y**2 - 11*y).\nAnswer: 45*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33 + 2 + (-6 - -1). Let t be 4 - (20\/i - 20\/(-6)). Solve -n - 2*n + g + 12 = t, 0 = -5*n + 3*g + 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3797\/4, 4, -15.24, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225729 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*b*k*x**3 + 2*b*k*x + 15*b*k + 41*b*x**3 - 2*b*x**2 + 11*k*x - 2*k + x wrt x.\nAnswer: 588*b*k*x + 246*b*x - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(88)\/sqrt(2) + 3*sqrt(220)\/sqrt(5))*1.\nAnswer: 5 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 5*t. Let h(f) = -112*f**2 + 224*f**2 - 105*f**2. What is p(h(n))?\nAnswer: 196*n**4 - 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (12\/128)\/((-759)\/4048)*34\/(-8)\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -175*o - 2101. Let u be g(-12). Which is the second smallest value? (a) 0.4 (b) 39\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 508.8349ug?\nAnswer: 0.0000005088349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 79085.\nAnswer: 79084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/24)\/((-6)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7108 + -48 - (-1 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l - 124*l**2 - 5 - 5 + 11 + 133*l**2 + 1943*l**5 wrt l.\nAnswer: 116580*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -98. Let f(a) = -a**3 - 8*a**2 - 10*a - 8. What is f(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose u + c*u = 0. Let s = -777 - -16315\/21. Which is bigger: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 + 0*y**2 + 10*y**2 - 4*y**3 + 356 - 353 + y to f*y**3 + c*y + x*y**2 + v and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 14*x - k - 41, 2*x = 3*k + 23. Calculate the smallest common multiple of x and 146.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 360. Let b be -1 - (-15 - (-4)\/(-4)). Calculate the highest common divisor of b and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/11)\/(-2)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249571896 by 6.\nAnswer: 41595316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 + 28*r - 38. Let b(y) = 12*y**2 - 55*y + 77. Let i(g) = -3*b(g) - 5*q(g). Determine i(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**9\/g))**(14\/9)\/(g**11)**19 assuming g is positive.\nAnswer: g**(-1951\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d + 7. Let r be k(0). Suppose -3*n - v = -0 - r, -5*n + 2*v = -30. Calculate the common denominator of 67\/6 and n\/(-6) - (-327)\/54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6300)*2*-6)\/(sqrt(27)\/sqrt(3)*4 - -6*sqrt(54)\/sqrt(6)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -887.9 + 886.9. Sort -2\/17, 2, 2\/9, s.\nAnswer: s, -2\/17, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + 0*x - 4*x)*(-3 + x + 3) + (-5 + 4 + 2)*(3*x**2 + 0*x**2 - 5*x**2) to the form j + m*x**2 + u*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293*h**3*l**3 - 175*h**3 + h**2*l**3 with respect to l.\nAnswer: -879*h**3*l**2 + 3*h**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 16*m**2 - 62*m + 12. Let t be o(6). Which is the nearest to -55? (a) 4 (b) -0.1 (c) t (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1485 - 1864.08. What is b rounded to the nearest integer?\nAnswer: -379","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -48.9. Which is the closest to -0.2? (a) -3 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 151*q**2 - 587*q + 173. Let h be o(-147). Suppose -3*y + 2*p = -7, 0*y - 21 = -y - 4*p. Solve -2 + 0 = 2*n + 2*v, y*n - 2*v = -h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714471945 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -1390?\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -74. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**8\/h*h)\/h)\/(h*h**5)*h**(-1\/17)\/(h\/h**6) assuming h is positive.\nAnswer: h**(118\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 66513.38 kilograms?\nAnswer: 66513380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*m + m + 13, 1 = -m + 2*t. Suppose -5*x = -m*w - 347, x - w + 29 = 100. Calculate the remainder when 194 is divided by x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 3 - -16) + -4 - (16 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/(90\/65) - -425 is divided by 207?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511 + -5623\/11. Let s = 0.2 - -0.8. Which is the smallest value? (a) s (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/1197 + 178333\/5985. Let o = i - 30. Which is the second smallest value? (a) 0.1 (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 8*o**2 - 12*o + 6. Let x be k(8). Let v be 16\/x - 12\/54. Let f = -5 + 5.8. Sort v, f, -1.\nAnswer: -1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 996 and 1992?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2065024*c**5 + 2*c**3 - 80*c**2 + 226403 wrt c?\nAnswer: -123901440*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/49*(672\/(-21) + 26)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3069 - -3073. Let n = -15 - -27. Solve k*j - 4*v = -n, -4*v = -5*j - 14 + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 4 = 0. Suppose 15 = 5*y - z*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 + k + 1. Let q be j(0). Let o(l) = -l - 4. Let i be o(-12). Suppose i = 6*y - 2*y. Is y at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2*f**2 - 7*f + 1. Calculate the remainder when (-3)\/((1440\/(-1725))\/32) is divided by b(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 610*t**2 - 131*t - 133. What is o(-1)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809870308?\nAnswer: 2, 3, 7, 383, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088378617?\nAnswer: 5023, 216679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -501901, -501905, -501909, -501913, -501917, -501921?\n\"Answer: -4*q - 501897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -28*w - 78. Let m(s) = -3*s**3 + 5*s**2 - 4*s**2 + 2*s**3 - 1 + 4*s. Let i be m(2). Solve 0 = -w*t + i*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 35*u**2 - 2*u - 64. Let n be w(-35). What is the smallest common multiple of (-2 + (-10)\/n)\/((-4)\/12) and 47?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 815293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 253. Let f be (-2)\/(-4) - 5\/2. Which is the closest to -2? (a) -0.1 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-104)\/(-78)). Sort -1, c, -10, 0.22 in descending order.\nAnswer: c, 0.22, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.499 - 0.299. Sort w, 0, -1, -0.5.\nAnswer: -1, -0.5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19040 and 485010?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 11*y - 37*y - 128 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -34, -50, -84, -142, -230?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72a (base 12) to base 3.\nAnswer: 1102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w + 25*w + 21 - 60*w + 11*w as q + s*w and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5431261, 5431259, 5431257, 5431255, 5431253, 5431251?\n\"Answer: -2*s + 5431263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25950 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 478\/4 - (-2)\/4. Suppose 3*g = -g + v. Solve -5*q - n - 5 = -4*n, -g = -5*q - 4*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t. Let d(i) = i. Let a(r) = -r. Let o = -49 + 52. Let c(h) = o*d(h) + a(h). Determine b(c(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*h - 28720, 7*h - 13*c - 50284 = -18*c. What are the prime factors of h?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 204 = -188. Solve -2*k = -0*k + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -185 and -132.\nAnswer: 24420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*f + 14, 18171*f - 18189*f - r - 73 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31436 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*w + 45*w - 23*w - 218*w**2 to the form x + r*w**2 + h*w and give r.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3888 = 7*r + 9*r. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1407.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 41. Let a be q*(-149)\/(-20) + 2\/8. Which is smaller: a or -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/119405 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6310 = 2974. What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 + 6 = 0. Let i(d) = d**3 - 7*d**2 + 10*d - 20. Let k be i(6). Put -3, k, p in decreasing order.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201789 by -2.\nAnswer: 201789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-14)*(-32)\/(-6). Suppose 0 = 4*q - k - 48. Solve -4*h + q = -2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1782.998727 + 1783. Round b to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 151?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 + -2440\/9. Let b(r) be the first derivative of 2 - 1\/18*r**4 + y*r - 2\/9*r**3 + 0*r**2. Factor b(h).\nAnswer: -2*(h - 1)*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 4*m + 1. Let y be v(-3). Suppose -4*a = -4 - y. What is the first derivative of -o**a + 5 - 3 - 4 wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 14 = -2*s, -o - 3*s = s - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3235 - -1051345?\nAnswer: 1045110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00069 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 609009 and 1.78.\nAnswer: 1084036.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207, 200, 191, 180, 167, 152, 135?\n\"Answer: -t**2 - 4*t + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(847)*-3*-5.\nAnswer: 1 + 165*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/120 + 19*j**5\/15 + 223*j**4\/24 - 230*j**2. What is the second derivative of c(k) wrt k?\nAnswer: 6*k + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -21. Suppose -5*v - 5*w + 5 = 0, -5*v = -4*w + 2 - 7. Let n be 1\/(2\/292) - v. What is the greatest common factor of n and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185337, -1483147, -5005771, -11865615, -23175085, -40046587, -63592527?\nAnswer: -94925311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -28. Let y = 5 - n. Let z = y + 48. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4587*t**2 + 8751*t**2 - 4173*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5376 and 2176.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 17, y: 1}. What is prob of sequence yf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 475.3739 nanometers?\nAnswer: 0.4753739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*k + 2*k + 26, 3*i + 5*k = -5. Let h(d) = 2*d - 2. Let y be h(6). Suppose 2*c + y = 3*j, c = -j + i*j - 15. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26406 (base 8) to base 10\nAnswer: -11526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.7 + -2.7. Let f = 96 + w. Let d = f - 107.957. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 451, 539, 663, 823?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 - (-144)\/(-66). Let u(v) = 2*v**2 + v - 1. Let c be u(1). Let a = c - n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2*r**3 - r**3)*(r - 4*r + 0*r + (-3*r + 7*r - 3*r)*(4 - 2 - 3)).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -0.3 (b) 0.2 (c) 1 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -74, -5, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-206*a + 14 - 190*a + 5*a**2 + 393*a)*(6*a - a + 3*a) as z*a**2 + n + w*a**3 + o*a and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*s = -6 + 1, 0 = -4*s - 20. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.38 + -6.38. What is the third biggest value in 3\/7, -0.3, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/(-6)*24\/20. Let o = 20 - l. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 14015*m**2 - 70180*m - 56160.\nAnswer: 5*(m - 2808)*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 5*d - 3. Let w be m(5). Let c be 10\/(-3)*3\/2. Put w, c, -4 in descending order.\nAnswer: w, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= -2395205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -4, -36?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/6 - 2778*t. Suppose 2 = -s + 5. Let i(k) = -k**2 + 2*k**2 + k + 2*k**2 - k**s. What is i(g) - l(g)?\nAnswer: -g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011111011 (base 2) to base 15.\nAnswer: -18d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**3 - 9*m**2. Let c = -22 - -31. Suppose 2 = -8*w + c*w. Let p(d) = 3*d**3 - 2*d**2. Give w*l(s) - 9*p(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 + 136*h + 103. Give n(-33).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12\/(-18)*(-30)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, -0.0638, -1, 1694 in increasing order.\nAnswer: -1, -0.0638, 3, 4, 5, 1694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 - (-1 - 0))\/1. Let i = o + 18. Solve -y + 3*y = i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5710, -5819, -5964, -6151, -6386, -6675, -7024?\n\"Answer: -w**3 - 12*w**2 - 66*w - 5631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -508086 (base 9) in base 8?\nAnswer: -1114143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 3381*m**3\/4 - 103167*m**2\/2 + 152013*m\/4 + 12738 = 0. Calculate m.\nAnswer: -1\/4, 1, 88, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2408\/(-42) + (-92 - -150).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 4043424.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42068 and 5.\nAnswer: -2.1034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnnznn. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 - m**2\/2 + 8. Suppose -5*y + 2*t + 611 = 0, 2*y - t + 0*t = 245. Let c = y - 122. Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27900792 by -7281.\nAnswer: 3832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -34?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*r - 4 = 0, 0 = -g - g - 3*r - 3. Let h(j) = g*j + 2*j + j**2 - 2*j. Let z(y) = -2*y**2. Calculate h(z(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1282\/930 + (-87)\/(1124649\/(-278))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -148*x. Let y(k) be the third derivative of -2*k**5\/15 - 2408*k**2. Calculate y(f(m)).\nAnswer: -175232*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 59 = 5*f - 52, -4*m + 2*f = 14. Let t(d) = -13*d**3 + 3*d + 3. Let r(i) = 376*i**3 - 88*i - 88. Give m*r(p) - 176*t(p).\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 10*o + 75. Solve -5*p + o = 4*t - 7, -4*p = -4*t - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -1 (c) 0.3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m**2)*(2*m**3 + m**3 - m**3) + (-m**3 - 5 + 5)*(-2 + 4 - 11*m**2 - 4) + 0*m**4 + 0*m**4 + 2*m**5.\nAnswer: 11*m**5 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/((-1)\/15). Suppose -w*k + 233 = 3. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 35 + 31 + 4*c - 117.\nAnswer: 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111212440 + 10?\nAnswer: -111212430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11573 + 8905. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 2*u**2 + 4*u + 8. Let h(q) = q**3 - q**2 - q - 1. Determine -3*h(z) - o(z).\nAnswer: -z**3 + z**2 - z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w. Let i(y) = -7*y**2 + y + 1. Let x(c) = -i(c) - 6*t(c). Let u(d) = -d**3 + 4*d**2 + 4*d + 1. Let o be u(5). Give x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 605857 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282218 by 282218.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14322 - 3?\nAnswer: -14330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 22384*q\/5 + 64953906\/5.\nAnswer: -2*(q - 13583)*(q + 2391)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Suppose 4*a + 5 = 4*o + 1, -2*o - a = 13. Let i(g) = 17*g**2. Let d(k) = -17*k**2. Let t(v) = o*i(v) - 5*d(v). What is t(c(h))?\nAnswer: 17*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 4*w**2 + 7*w + 4. Let c be ((-1)\/2)\/((-8)\/368). Let v = 18 - c. What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5125*u + 7565*u = 383516 - 17516 for u.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**3\/21 + 12*m**2\/7 - 26*m\/7 + 22. Determine q so that h(q) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 25*1*-1. Let n be -1*(1 - (-8 + 10)). Let z = n + c. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -319571, -639138, -958701, -1278260, -1597815, -1917366?\n\"Answer: 2*p**2 - 319573*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/14 and 45930\/(-40650)*(-7)\/2 - 4?\nAnswer: 18970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 396983*m**2 - 13496555*m + 114718261.\nAnswer: -(m - 396949)*(m - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*s + 1\/3*s**2 + 2.\nAnswer: (s + 1)*(s + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127.299999389 + 127.3. What is b rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1.4, -36, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((-27)\/189).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + u - 5420 = -3*u, 5*b - 3*u = -5415. Let t = 2120 + b. Calculate the highest common factor of 65 and t.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 13*k - 10. Let d be v(7). Let q be (1 - -3 - 4)\/d. Solve -3*g = 2*l - 4, q = -5*l - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a**2 - a. Let w(z) = -z**4 + 14*z**3 - 14*z**2 + 12*z. Suppose 0 = -2*u - 20 - 24. Let p(k) = u*x(k) - 2*w(k). Factor p(o).\nAnswer: 2*o*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10851.\nAnswer: 3, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5 + 1168\/40. Find the common denominator of (-2454)\/(-252) - l\/18 and -71\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:27 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39210, -158344, -356900, -634878, -992278, -1429100?\nAnswer: -1945344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/14 - 1\/2. Which is the fourth smallest value? (a) n (b) 4 (c) -6 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 31227?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 1, 13, -11 in descending order.\nAnswer: 13, 4, 1, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -4*l**3\/3 - 130*l**2 + 264*l - 4291. Find j such that t(j) = 0.\nAnswer: -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 35, 1\/4, 12, -1\/7 in decreasing order.\nAnswer: 35, 12, 2, 1\/4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -3\/6568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 11*c - 42 = -93*z + 5*c - 32, 0 = 4*z + 5*c + 34 - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00587304 to five decimal places.\nAnswer: 0.00587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15470 and -1650783.1.\nAnswer: -1635313.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -47. What is the greatest common factor of c and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*z - 43*z - 42*z + 39*z**3 - 35 + 118 - 17*z**2 + 137*z wrt z.\nAnswer: 117*z**2 - 34*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - u**2 + u**2 + 5*u**2 - 3*u**2 - 4*u**2 + (-4*u + 2*u + 3*u)*(-4*u + 2*u + 3*u) in the form s*u + p + q*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -273536, -547030, -820438, -1093718, -1366828, -1639726?\n\"Answer: 7*h**3 + h**2 - 273546*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/3 - (0 + -5)) + -29. Let r(b) = b**3 + b**2 - b - 1. Let y be r(0). Let n be y*26*3\/(w - -1). Which is greater: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d**2 - 2)*(-2 + 2 + d) + 411*d - 406*d + d**2 + 2*d**3 + 3*d**3.\nAnswer: 4*d**3 + d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + 51\/12. Suppose -5*i + b*i = -2. Suppose 2*f = 3*f + 4*l - 18, -20 = -i*f - 4*l. Calculate the lowest common multiple of 11 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + f + 2, -2*f = 4*h + h - 7. Let b be 3\/((h + -2)\/(-1)). Find the second derivative of -2*u + 4*u - u**b - u**3 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8*n + 105 = 0. Suppose 3*h + 2*h = -5*p + n, -2*p - 21 = -5*h. Suppose -4*k = 2*v - p - 22, -v + 4 = 4*k. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1559*y**3 - 9*y**2 - 18*y - 9. Let f(k) = 1560*k**3 - 10*k**2 - 20*k - 10. Calculate 9*f(a) - 10*x(a).\nAnswer: -1550*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -338*g + 49. Let m(w) = 84*w - 11. Determine -9*m(l) - 2*z(l).\nAnswer: -80*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let d(p) be the second derivative of 7*p**4\/12 + 26*p. Give q(d(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:58 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:06 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 7*i**2\/2 - 2*i - 274. What is b(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -1\/30*c**5 - 4*c**2 + 0*c**4 + 0 + 0*c**3 + 0*c. Let w(i) = 2*i**2. What is w(n(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 33*j - 24. Determine z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 4*a**2 + 0*a**2)*((0 + 2*a + 0)*(1 - 1 - 1) + 2 - 2 - 2*a)*(-2*a**2 + 3*a**2 - 2*a**2)*(2 - 2 + 1)*(22 - 122 + 44).\nAnswer: -672*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*i**2 + 5*i**3 - 126*i**2 + 67*i**2 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let f = 7 + r. Let c = 0.46 + -0.86. What is the closest to 0.1 in c, 1, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from httta. What is prob of sequence tht?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8856273, -17712547, -26568821, -35425095, -44281369, -53137643?\n\"Answer: -8856274*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*o + y + 759, -3*o + 3*y = -567. Suppose k - 12 = o. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1900) + sqrt(1900) - (-5 + sqrt(304))) + 2 + sqrt(2736) + 1 + sqrt(2736) + ((sqrt(171) + sqrt(19))*-1 + sqrt(19) - sqrt(931)*-1) + 1)**2.\nAnswer: 972*sqrt(19) + 55485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(-2*m + 4*m - 4*m) + m - m - m)*(0*m**2 - 5*m**2 + 4*m**2)*(-1106 - 4*m**2 + 1106).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 - 5*q + 6. Let v be z(4). Suppose -4*y - 6 = -v*b + 14, -y = -b + 6. What is the smallest common multiple of b and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2321098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -227 in 1\/2234, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1474, 2931, 4388?\n\"Answer: 1457*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3546, -3303, -2662, -1425, 606, 3629?\nAnswer: 7842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018575 to five dps.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1414.9 to the nearest ten.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*a - a - 33, -2*a - 36 = -5*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1219a (base 11) to base 8\nAnswer: -42175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:02 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*h, 0 = -16*r + 4*h - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -91*t**4\/2 - t**3 + 493*t**2 - 421. What is the second derivative of o(k) wrt k?\nAnswer: -1092*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-18))\/((-2)\/(-1 + 5)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -1112, -1935, -2758?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2911, -5799, -8667, -11515, -14343?\nAnswer: -17151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.188 from -0.29.\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**2. Let z(x) be the second derivative of x**4\/12 + 6*x. What is z(v(i))?\nAnswer: 169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324662.\nAnswer: 2, 13, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 - 3*y + 2. Let h be (4 + (-5 - -2))*(-1 - -2). Let o be k(h). Suppose -2*p = o*p - 1040. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7778430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -27 - 16 - -17.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 13*x - 24. Let g be m(4). Calculate the highest common factor of 90 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 1 - w**2 + 10 - 8. Determine o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3.16 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4\/17 - 5306608*f**3\/17 + 31839600*f**2\/17 - 63679168*f\/17 + 42452768\/17 = 0?\nAnswer: 2, 2653298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 2, n: 2, k: 1}. Give prob of sequence klnj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + o**3 - o**2.\nAnswer: -o**2*(o - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2 - 118*a - 12. Let h(b) = b**2 + 7. What is the remainder when m(-23) is divided by h(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*x - 5*x - 17, x + 4*s + 8 = 0. Let p = 43\/3 - 95\/6. Let w = 0.2 + -1.2. Which is the nearest to w? (a) -0.4 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from thhhhhhhhhhhhhhhhhh.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d - d + (92*d - 2 - 89*d + 9)*(2 + 0 - 1) + (0*d + d + d)*(-3 + 1 + 3) - 3*d + 6*d + 0*d.\nAnswer: 5*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssdsdsdz. Give prob of sequence dss.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 280*s + 181. What is m(0)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from waffaawfcwwwaaawa.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - t - 4*t - 2333283 = 0, -t = 2*j + 1166643. Let k = 895744 + j. Let c = -62422 + k. What is c rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**3 - 195*o**2 - 13065*o + 6580.\nAnswer: 5*(o - 47)*(o + 28)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317163 divided by -1373.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11271 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.285 - -1.9996. What is d rounded to two decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21 + c - 16 + 32. Let v(l) = l. Calculate a(j) - 2*v(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685979410?\nAnswer: 2, 5, 17, 151, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8613 - -8616. Let o(d) = -4*d**2 - 3*d - 25. Let s(u) = 11*u**2 + 8*u + 76. What is v*s(c) + 8*o(c)?\nAnswer: c**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/3, 4, -2\/355, -1\/14, 0.03?\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (3 + (3 - 0)) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + (-74)\/4)*(-8)\/7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25099793 to the power of 1\/2, to the nearest integer?\nAnswer: 5010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or -9\/273541?\nAnswer: -9\/273541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/60 + c**4\/24 - 2*c**3\/3 - c**2. Let t be y(-3). Let v(s) = -s - t - 4*s + 4*s. What is v(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67063, -65465, -63853, -62221, -60563, -58873?\n\"Answer: j**3 + j**2 + 1588*j - 68653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(-29*f + 5*f - 93*f)*(-6 + 6 - 2*f**2) to the form p*f**3 + h*f + d + l*f**2 and give p.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 5, 3, 4, 2, -83 in decreasing order.\nAnswer: 5, 4, 3, 2, -1, -14, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 70\/35*((128\/52)\/(-8))\/(130\/13)\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:02 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428016 by -5784.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35406829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (94 - 31) - (-23 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*h**4 - 2*h**2 - 109*h**4 - 308*h + 175*h + 1 + 2*h**3 to d + g*h**2 + c*h + t*h**3 + i*h**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -629*b*q*x**2 - 143*b*q + 2*q*x**2 - 13*q - 3*x wrt x.\nAnswer: -1258*b*q*x + 4*q*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + -2 + -3)*1. Let t = -20 - s. Let g(l) = -l + 3. What is g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 12\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11391695 and -0.4?\nAnswer: 4556678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20670\/(-3146))\/159*((-2)\/(-1))\/(-20)*4.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 15. Let f(l) = -l**3 + 7*l**2 - 5*l - 2. Let j be f(q). Find the third derivative of -k - 2*k + k**2 + 3*k + k**j wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*u + 2 = 0, -7*u = 2*q - 2*u - 4. Solve j + 3 = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:11 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/247 - 227\/494. What is the nearest to 0.1 in f, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(-4 + (-6*(1 + sqrt(1053)) - (-2 + sqrt(1053) - sqrt(1053))*6) + 2))**2.\nAnswer: -15552*sqrt(13) + 1365264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363)*-2*-5 - (sqrt(363) + 0 + -5)) + 3)*-5*-1)**2.\nAnswer: 39600*sqrt(3) + 736675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32891 >= -32968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 l when four letters picked without replacement from {u: 6, k: 1, l: 11}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584*l - 4780 = 580*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h - 252*h + 65 + 243 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, a: 6, k: 1}. Give prob of picking 2 a and 1 k.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 849*a - 4335. Is 21 a factor of h(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.8 and 0.276.\nAnswer: -3.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -1\/23, -0.9?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/201956 and -7\/6964?\nAnswer: 201956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/22 - 16*b**3\/33 + 60. Solve p(o) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 10) to base 11.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 22 = a - 86, -2*d + 99 = a. Suppose 0 = i + 4*i - a. What is the remainder when 121\/2 - 1\/(-2) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -446, -608, -748, -860, -938, -976?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17049, -34079, -51079, -68037, -84941, -101779, -118539, -135209?\n\"Answer: 2*j**3 + 3*j**2 - 17053*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62193932 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13357 or 13122?\nAnswer: 13122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - x = 1127 - 1111, 4*t - 4*x = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1383, -1605, -1811, -1995, -2151, -2273, -2355, -2391?\n\"Answer: a**3 + 2*a**2 - 235*a - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 17.34, -0.1, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/14)\/(6\/21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287)\/1463 - (0 + (-2)\/22).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -20, -t - c - 607 = -4*t. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*p + 4, p + 0 + 3 = -t. Suppose -54 = -4*m + t. Differentiate -y + 3*y + 16*y - m + 35 wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5013992ug in tonnes?\nAnswer: 0.0000000000005013992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*s = 0, 0 = -s + 3 - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/2 + 32*g**4\/3 + g**3 + 155*g**2 - 3917*g. Find the second derivative of r(s) wrt s.\nAnswer: -60*s + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and 57\/26840.\nAnswer: 80520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-15)\/40) - -9. Put 2\/7, -4, u in descending order.\nAnswer: u, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.048 and -1.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2411273 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 898.62l?\nAnswer: 898620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.8676 rounded to 0 dps?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148509 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19733189?\nAnswer: 7, 571, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221*l**3 + 142306*l**2 - 111942631 wrt l?\nAnswer: 663*l**2 + 284612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22013002 (base 4) to base 2.\nAnswer: 1010000111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 312678848*s\/3 - 24442015496651776\/3.\nAnswer: -(s + 156339424)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298*t - 19*t**2 - 298*t)*((2 + 2 - 6)*(2 - 2 + t) + t + t - 4*t).\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16946 = -21*g - 15896 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/140)\/((-28)\/224).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 6. Let h be w(-7). Suppose 0 = o - 5*n - 1 - 14, -o - 2*n + h = 0. Suppose o*g = 3*p + 156 + 262, 246 = 3*g + 3*p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -32, -0.3, 0, -1, 2\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -4, 1 in decreasing order.\nAnswer: 3, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:06 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + 47*k + 18*k.\nAnswer: 49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 191886 to the power of 1\/2, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from wtjvwtorv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m = -25182. Let g = 674 - m. Let j = -1520 - g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 3*j**2 - 39*j + 40. Calculate the remainder when 7917 is divided by x(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485 or 53545?\nAnswer: 53545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -330 + 333. Suppose -o*u + n + 82 = -106, -u = -n - 60. Calculate the least common multiple of u and 72.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1. Let y(j) = -2. Let d(t) = -3*v(t) + 2*y(t). Let b = -1546 - -1547. Let h(n) = -2*n**2 + 5*n - 1. Determine b*h(z) - 2*d(z).\nAnswer: -2*z**2 + 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 55857?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -873593, -1746365, -2619137, -3491909?\nAnswer: -4364681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.68 to zero dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7*m - 19 = 0, -89*m + 5 = -84*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14)**(-4\/17) assuming l is positive.\nAnswer: l**(-56\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4 + y - 3*y + 3*y. Let j be t(-6). Let m = -0.6 - 0.4. Sort j, -2\/3, m in descending order.\nAnswer: -2\/3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -1. Let g = 50 + -28. Let a = 21 - g. What is the nearest to a in w, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2113122302313?\nAnswer: -2113122302322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - 3*m + 3*m + (-m - 2*m + 2*m)*(-1 + 1 - m**2) - 2*m**3 + 7*m**3 - 3*m**3 + 5*m - 5*m - m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxp when three letters picked without replacement from xpxdsuq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41575 divided by 96?\nAnswer: -41575\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(700) + -2 + 4 - (-3 + -5 + sqrt(700)*-4))**2*-4.\nAnswer: 6400*sqrt(7) + 140512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2866 + 10321. Suppose -13*y = -28*y + t. List the prime factors of y.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 230 = -2*x, -x = x + 6. Suppose -4*i + 93 = 4*b - 9*i, -2*i = -5*b + w. Calculate the remainder when 14 is divided by (47\/7 - -1) + b\/77.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 + 382*b - 145. Let t(d) = 4*d**2 - 254*d + 96. Let q(j) = 5*l(j) + 8*t(j). Calculate q(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjjypppj. What is prob of sequence yy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - (-10 + 3 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 426*f**4 - 443*f**2 wrt f.\nAnswer: 10224*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -53, -131, -245?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmcjjmmtjcjtcmmt. What is prob of picking 3 j and 1 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 + 2*p - 10. Let j be z(4). Solve q - 3*w - 11 = -6*w, 5*w - j = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/105*2*(777\/(-28))\/37\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*n**3 + 105*k*n**2 - 1975*n**3 + 2*n - 2 wrt n.\nAnswer: 6*k - 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1613\/4 - -406. Let v(u) be the first derivative of -5\/8*u**4 + 1 + 3\/2*u - x*u**2 + 13\/6*u**3. Factor v(z).\nAnswer: -(z - 1)**2*(5*z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 14838.\nAnswer: 179\/14838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18882 and -6034636.\nAnswer: -6015754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33009 * -3\nAnswer: -99027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 3, h: 4, u: 1}. What is prob of picking 4 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 133*l**6\/120 + 89*l**3\/6 + 57*l**2. Differentiate b(g) with respect to g.\nAnswer: 399*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*d - 280*d + 34700 = 0. Let c(x) = -124*x**3 + 1. Let q be c(-1). Calculate the greatest common divisor of d and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 642. Give b(14).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = 3*a - 23, 3*m = a - 2. Suppose -88 = -2*g + 11*q - 7*q, -2*g - 5*q = -52. Suppose a = -s + 3*s - 3*p, 0 = 5*s + p - g. Solve s = d + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/15))\/(v\/(v*v**(1\/3)\/v)))\/((v*v**(-1\/23))\/(v*(v\/(v\/(v*v*v\/((v**(-11)\/v*v)\/v))))\/v)))**36 assuming v is positive.\nAnswer: v**(59244\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95898 divided by -6.\nAnswer: 15983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130033984 to the nearest integer?\nAnswer: 11403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1694235 and 7518.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8. Let q be (5 - -3) + (13 - 10). Suppose t - q = 2*o, -4*o - t = -9*o - 29. Give s(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6860 divided by -3430.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-924)\/(-36) + -16)*69 and 7?\nAnswer: 4669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -24 + -20 - (-14 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 23*h - 7*h + 23*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54167977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 261, 411, 669, 1095, 1749?\n\"Answer: 10*c**3 - 6*c**2 + 98*c + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 205700 divided by -2057\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4661, -429, 2 in decreasing order.\nAnswer: 2, -1, -429, -4661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2 + 36*b + 42751. Let l(s) = 3*s**2 + 0*s**2 + 3*s**2. Determine l(o(m)).\nAnswer: 24*m**2 + 864*m + 7776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 + -5. What is the lowest common multiple of 60 and a?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 187962 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8) - (-105)\/(-90). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*m + 147*m = 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79506 and 21735.\nAnswer: 27429570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-273))\/(2\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 + 792870*p - 31432141845 = 0.\nAnswer: 79287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - 74*s**2 + 416*s + 11134. Determine x(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let u(c) = c - 3. Determine -3*j(f) + u(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*l = 2, -4*x = -3*x - 5*l + 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184340 and 102290266.\nAnswer: 1022902660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 1. Let v be z(1). Let l be 5 - v - 48\/(-2). Let j = -16 + l. Solve n - a + j = 0, -22 - 10 = 3*n - 4*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + y - 5. Let f be x(-6). Suppose 11498 = -27*g + 13550. Let d = f + g. Let h(z) = z + 14. Determine h(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 32.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {p: 5, i: 5, y: 5, j: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -147.191058?\nAnswer: -155.191058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 624 + -4?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/357 and -13\/612?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -561, -608, -657?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/(f**3\/f)))*f*f*f\/(f**(-1)*f)*(f\/(f\/(f*f**(-1\/3))))**(-32) assuming f is positive.\nAnswer: f**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbfb when four letters picked without replacement from {f: 14, b: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720) - sqrt(5) - sqrt(5))*-3*3)**2.\nAnswer: 79380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/24 - 6*n**2. Let v(j) = 0*j + 2*j - 3*j. Calculate s(v(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5 = 10219*m - 10220*m, s = -2*m - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 - 3*a + 1. Let f be u(-4). Let c = f + 131. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**6\/10 + d**5\/10 - d**4\/4 - d**3\/3 + 7*d + 1. Factor j(s).\nAnswer: s*(s - 1)*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 7.4\nAnswer: 96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.384 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/7 + 8*q**4\/7 + 8*q**3\/7.\nAnswer: 2*q**3*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 134, 269, 406, 545?\n\"Answer: f**2 + 132*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-13)*v)\/v)\/v**34)\/((v\/(v\/(v\/(v**(-3)*v*v))))\/v*v*v**9) assuming v is positive.\nAnswer: v**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2409292 (base 12) to base 14\nAnswer: cdacb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - j**3 - 2 - 4*j**3 + 0*j**3 - 2*j. Let i(r) be the first derivative of -2 + 5*r + 5\/2*r**2 + 0*r**3 + 7\/4*r**4. Calculate 5*a(t) + 2*i(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:42 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 1, j: 1, z: 2, l: 1, n: 2, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-48)\/(-1512))\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/56 and 57\/136?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*h + b - 9*h + 2 wrt h?\nAnswer: -3*b - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1670236889 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2)\/(-48)*4\/6. Let q = -17\/63 + b. Is -1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*o**2 - 118*o**3 - 112*o**2 + 111*o**3.\nAnswer: -7*o**3 - 192*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1230*g - 8514. Calculate a(-7).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13995 = -5*f, 3*d + 5*f = 7*d + 55995. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005800371 rounded to 7 dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x + 47. Give b(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (1\/2 - 21\/14). List the prime factors of (21\/a)\/((-3)\/(-16)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**7\/2520 + x**6\/240 - 11*x**5\/30 - x**2 - 27. Let r(p) be the third derivative of d(p). What is r(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -44777*x + 8121. Is q(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4 + 76*u**3 - 90*u**2 - 4000*u - 7000 = 0.\nAnswer: -5, -2, 10, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/423 and (133\/(-56) + (-2)\/(-1))\/((-810)\/(-6408)).\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4896 divided by -9?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 106. Let g = -46 + w. Find the common denominator of ((-1)\/g)\/(12\/(-549)) and 40\/9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11262 and 202974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.195 - -0.28. Let o = c - 0.1. Let t = 0.0150084 + o. What is t rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 13*b**3 + 2*b**3 - 9*b**2 + 46 in the form s*b + p + d*b**2 + q*b**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172303641 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 27. What are the prime factors of (-22)\/l + 53\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741 and 45279?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)\/(g*g*g**(-2\/9)*g) assuming g is positive.\nAnswer: g**(-47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250 + 0.1.\nAnswer: -249.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, 214, -1\/12, 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*a*d*q**3 - a*d*q - 125*a*d + a*q**3 - a*q**2 - 2*d*q**3 - 2*q wrt q?\nAnswer: -180*a*d + 6*a - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, f: 13}. What is prob of picking 4 f?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425)*1)**2 + (-2 + sqrt(153))*5.\nAnswer: 15*sqrt(17) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 less than -0.03?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18)\/(29\/(-522)*204)*(-2)\/(-20)\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20836789843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*o - 2*o - 17, -5*o + 20 = 0. Let b = 0 - j. Differentiate 4*v**3 + 0*v**3 + b - 3*v**3 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35943\/2 at most 17972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -38*f**3 + 112*f**3 - 6*f**2 + 3 - 36*f**3 - 190*f + 191*f - 35*f**3. Give o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19222 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/3 less than -160.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 12. Let j = -14.2645 - -19.2645. Let r = -2\/21 - 1\/14. What is the closest to j in -2\/11, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280876?\nAnswer: 2, 3, 13, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/3 + 7*d**2\/2 + 3*d - 5. Let y be t(7). Solve -2*g - 3*g = -4*r + 1, 0 = 3*r + y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -0.03. Let l = j + -0.1. Which is the closest to l? (a) -2\/5 (b) -0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f**(-4)*f)\/f)\/f*f)\/(((f\/(f*f\/f**(-1\/17)))\/f)\/f))\/(f\/(((f\/f**(1\/2))\/f)\/f*f)*f)**(1\/29))**(-12) assuming f is positive.\nAnswer: f**(162\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287479.\nAnswer: 71, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -10*p**2 + 0*p + 5\/24*p**3 - 1\/48*p**5 + 0 + 0*p**4. Suppose x(q) = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:35 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543892107?\nAnswer: 3, 11, 16481579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-2934)\/(-594) - 10).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 660*h**3 + 4089*h**2 + 4746*h = 0.\nAnswer: -226, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002166741 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6493*x**3 - 7618*x**3 + 16229*x**3)*(2 - 3 + 2).\nAnswer: 2118*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*b + 154*b - 89*b + 1306*b to d + f*b and give f.\nAnswer: 1894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249751?\nAnswer: 3, 7, 149, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/12 - (13 + 49688\/(-16)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 59.785. Round g to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6756083252 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 192.1418 - 0.1418. Which is the third biggest value? (a) -1\/5 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*l + 19 + 10, -3*l = -2*d + 9. Let j be ((-74)\/5)\/(l\/25). Suppose j = 4*s + 14. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2835*r - 109. Is b(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257980694 is divided by 72.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 431 + 689. What is the greatest common factor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1 - 2249*r**2 + 2248*r**2 + 2*r**3 - 2 + r + 2. Let d(t) = -46*t**3 - 3*t**2 + 6. Let y(p) = -6*a(p) + d(p). Find the third derivative of y(j) wrt j.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40669.2 - -40669. Let f be (-2 - -3)\/(-1 - -5). What is the third biggest value in 1, -5, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -28, -937, -4 in decreasing order.\nAnswer: -1\/8, -4, -28, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -59 + 13. Find the second derivative of -17*f - 10*f**5 + h*f**4 - 19*f**4 - 23*f wrt f.\nAnswer: -200*f**3 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050574072 to five decimal places.\nAnswer: 0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 + 4*u - 5. Let q be ((-12)\/16 - (-3)\/(-60))*30. Let d = 20 + q. Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397299311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 456.3 - 456. Let y = -0.29 + -0.01. What is the nearest to y in d, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/9? (a) -12\/7 (b) -0.2 (c) -907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -0.06 (c) 13 (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + t - 5 = 0, v + 7*t + 2 = 5*t. Solve -3*y = -3*i + 3, -i - 7 = -y - v*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41555119 - -1867?\nAnswer: 41556986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8182316 or -8182351?\nAnswer: -8182316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r**2 - r**2 - 3*r**2)*(343*r + 1 - 5 + 2) - 16*r**3 + 0*r**3 - 2*r**3 to t*r + u*r**3 + x + n*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (-11 - 1 - 8781)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11328 + 11331. What is the closest to 3\/11 in -4, k, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291444 and 7223019.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1064 + -1091.14. Let w = 42 - 70. Let n = w - c. What is n rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 3. Let i(h) = -63*h + 39. Let j(z) = 21*z - 13. Let f(y) = 2*i(y) + 7*j(y). What is 6*f(n) + 26*m(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296993\/18 + 16504. What is the common denominator of f and (1 + -2)*470\/60?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2. Let i(a) = 57*a**2. What is i(m(s))?\nAnswer: 912*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2912.709 + -2915. What is p rounded to two dps?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 4:15 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 360612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 <= 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10)*(-35)\/(-126))\/((-7)\/(-3822)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acaacaacaeqcaq. Give prob of sequence eq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7414247 centimeters in meters?\nAnswer: 0.007414247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 - 536 = 21*a. Suppose h - 2*x = -10, 5*h - 3*x + 2 + 13 = 0. Let v be (-1 + h)*(-1 + 0). Calculate the highest common divisor of a and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:45 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57892567.\nAnswer: 7283, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6)*(-52 - -36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d + 67 = 18*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y\/y**(-9\/5)))))\/(y**(-4)\/y*y))\/(y\/y**9*y**(-18)) assuming y is positive.\nAnswer: y**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:37 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**3 - 3*w**2 + 12*w - 17. Let u be f(20). Let a = u + 13257. Round a to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 48*q + 824. What is the remainder when k(-17) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**23)\/r**(12\/5)*r*r*r**12*r**(-1\/7)*r assuming r is positive.\nAnswer: r**(1276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -2.11. Let v = q - -2. Sort v, 4, 0 in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11226992501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -81 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j - 2 + 41*j + 28*j + 28*j.\nAnswer: 11*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1696*j**2 + 5724*j. Let v(t) = -t**2 - 3*t. Give 4*n(d) + 7632*v(d).\nAnswer: -848*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 318, 544, 926, 1470, 2182, 3068, 4134, 5386?\n\"Answer: d**3 + 72*d**2 + 3*d + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140219 and 294488?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 7*u - 35. Let o be d(12). Let h be (8\/2)\/(((-80)\/o)\/8). Which is smaller: -9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19426125 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20456 - -35767. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5 + 734*y**4 - 98981*y**3 - 320966*y**2 + 2448068*y - 2832200 = 0.\nAnswer: -850, -7, 2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 11*w = -5310000. Round w to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08066 less than -12.63?\nAnswer: -12.71066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/884321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.2. Let t = -1723.6 + 1724. Which is the nearest to 0? (a) v (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 190. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (16 + -13 - -13) + 1 + -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let b(n) = -6*n**2 - 6*n - 1. Let w(x) = -7*x**2 + 62*x + 15. Let j be w(9). Determine j*d(c) - b(c).\nAnswer: 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133603\/126 - 7380\/7. Find the common denominator of 73\/27 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/5*6\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 30*v - 100. Let d be s(5). Let w be 3 - (-2 - (-5)\/(d\/46)). Factor w - 16\/5*y + 32\/5*y**2.\nAnswer: 2*(4*y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.5014 - 0.0756. Let j = 0.1258 - a. Let w = 56 + j. Round w to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 + 3 = 4*m, 3*m + 5*v = 20. Solve -m*f = -5*h, -f + h + 16 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1358 + 708 + 3*f**2 + 650.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101084 is divided by 6317.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 119 = -95 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {t: 2, w: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 10*h - 4*i + 33, -3*h + 4*i = -39. Let v(w) = -w**3 + 9*w**2 + w - 10. Determine v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -16904*v - 11798978. Calculate c(-698).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 21\/(-1))*-11*81\/5940.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -5, -8, -15, -26, -41, -60?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 31 + 5*j**3 + j + 0*j + 32 in the form o*j**3 + r + k*j + b*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 + 5 = 0. Suppose -129 = -n - 48. Let z = n - 46. What is the highest common divisor of z and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.013703 rounded to one dp?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/87*36 - -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7\/4 (b) 4 (c) -4\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:14 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, u: 1, m: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1\/(5\/85). Let u = 18 + l. Suppose u*j + 222 = 8*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = -6*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {g: 1, c: 4, a: 1, b: 1, s: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1314.\nAnswer: 2\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/24 - 8*q**2 - 10*q. Let j(i) be the first derivative of g(i). Let a(d) = -38*d. Give j(a(m)).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7035 and 94700730709.\nAnswer: 94700737744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -140?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006992089 rounded to 5 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 1330\/(-441))*6\/10. Let c = f + 23\/35. Let k = -9 + 6. Sort c, -1\/3, k.\nAnswer: k, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/5))**33*(l*l*l\/(l\/(l\/(l\/l**20))))\/(((l\/l**(11\/4))\/l)\/l) assuming l is positive.\nAnswer: l**(1043\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -85597, -4.\nAnswer: -85597, -147, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9809*k**2 - 4559 wrt k?\nAnswer: 19618*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146290619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308*d**4*n**2 + d**4 - 2*d**2*n - 51*d*n**2 wrt d.\nAnswer: -7392*d*n**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 2240*n + 258399. What is l(-122)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d + 3*a + 6 = -2*a + 1, -3*d - d - 13*a = -35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 4*u**3 - 2*u**3)*((-4*u**2 + 24 - 24)*(2 - 5 + 4) + (-u + 0*u - u)*(-58*u + 19*u + 23*u)).\nAnswer: 28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 11*r - 5*r)*(2 - 3 + 0) - 4*r + 4*r - 3*r + (0*r - r - r)*(2 + 2 - 3).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1\/6, -5\/2, -0.3, -1 in increasing order.\nAnswer: -5\/2, -1, -0.3, -1\/6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -2*h - 3*w, -5*h - 2*w - 196 - 208 = 0. Let j = 118 + h. Suppose -107 = -5*m + j. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2205*p**2. Let k(q) = -3*q**2. Determine a(k(l)).\nAnswer: -19845*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124092 to the power of 1\/2, to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.14978 times 0.0863\nAnswer: -0.012926014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 13*v)*(17*v**2 - 2*v**4 + 85*v - 85*v).\nAnswer: -26*v**5 + 221*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(-2*sqrt(3)) + (2*sqrt(48) + 4)**2.\nAnswer: 62*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.0782 take away 138.103?\nAnswer: -93.0248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.26, 45, -5\/204, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*b*q**4 - b*q**2 + 20*b - 6 wrt q.\nAnswer: 120*b*q**3 - 2*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2 + 30. Let y(s) = -s + 11. Let l be y(j). Suppose 4*x - 23 = x - 2*q, -l*x + q + 11 = 0. Solve -p + x*p + 5*k + 33 = 0, -3*k - 15 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 2*q - 1. Let z be 7\/((-14)\/6)*-1. List the prime factors of n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-90) - 6\/12. Let w(z) = -z + 1. Let b be w(1). Sort b, -4, l.\nAnswer: -4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*k - 4*g, -11 = -4*k - 0*g - 3*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*l = -b - 8, -b + l - 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 98 + -73 + 1 + -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*l + 32188 = -422*l. What are the prime factors of l?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*f = 24, 0*f = -3*h - 2*f + 15. Suppose 0 = b - d - 5, h*b = 4*b - 2*d - 7. Let a(n) = -b*n + 0*n - 3*n + 4*n. Let v(m) = -6*m**2. Give a(v(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**2*f**4 - 38*d**2*f - 77*d*f**5 + f wrt f?\nAnswer: 156*d**2*f**2 - 1540*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3\/6 + (-354)\/(-12) and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 109, 171, 247, 343?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -264. Calculate the greatest common factor of 66 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.13012 microseconds in milliseconds?\nAnswer: 0.04313012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54435 divided by -15?\nAnswer: 3629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*-10*(-22)\/(-55)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t - 1. Give l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/240 and -23\/550.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 (base 10) in base 6?\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.3, 4, -2\/43, 0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*(-546)\/455.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 i, and 1 h when three letters picked without replacement from hhqqhhiqqhijj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*240\/6. What is the highest common factor of u and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6917425 = 11*r - 16647699. Let m = r - 5522284. What is m rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 35112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4795161236.\nAnswer: 2, 17, 2251, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 + 3192 = 23*b. Is b >= 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22453700 to the nearest integer?\nAnswer: 4739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 568b?\nAnswer: 567b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 9873?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 5*d + 21 = 2*v, -3*v = 5*d + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 513732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 157 = 49*b - 1187 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5. Let s be z - 3\/((-3)\/14). What is the highest common factor of 26 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 722 + -12f93?\nAnswer: -12871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 7)*(-3 + 2*v**3 + 3 + (5*v - 3*v - 3*v)*(-3*v + 3*v - v**2) - 4*v**3 + 2*v**3 + 0*v**3 - 2*v**3 + 3*v**3 + 2*v**3).\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.41 + 0.41. Which is the third biggest value? (a) -13 (b) 3 (c) 3\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -5*h + 7*m - 5*m, -8 = 2*m. Let j be -1 + ((-7)\/h)\/(2\/30). Suppose 6 = -4*d + 5*s, -5 = -7*d + 4*d - s. Solve j*f + 7 + d = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 3 (c) -3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, -7 in descending order.\nAnswer: 4, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -1)\/(0 - 4). What is the closest to 0.1 in 3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137609602 a multiple of 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))\/(s*(s*s**(-9))\/s*s) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -79, -106, -133?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 39, 4, -3 in decreasing order.\nAnswer: 39, 4, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4009\/8034 + -4\/4017. Which is the smallest value? (a) -113 (b) g (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*d - 128*d - 90 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214287344 a multiple of 1432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119470, 119471, 119472, 119473, 119474, 119475?\nAnswer: 119476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -8. Let n be -255001 + (q\/(-4))\/(-2). What is n rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 521, 514, 509, 506, 505, 506?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -69.3 (c) -1\/5 (d) -65 (e) -3 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 14. Let i(n) = -n - 5. Let g(k) = 17*i(k) + 6*t(k). Let u be g(6). Let p = 305 - 301. Solve p*r - 3*r + 2 = -w, -r - u*w - 18 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 0 - (-39 + 50)) + -12 + -4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395183445, -395183439, -395183431, -395183421, -395183409, -395183395?\nAnswer: -395183379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 27\/6)*0. Solve -2*m - m + 3*o + 9 = 0, o + 4 = v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - z + 93. What is the tens digit of q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssts when four letters picked without replacement from sjjtttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 1)*(0*f + f + 0*f)*(-1 - 2 + 5) in the form w*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4190*x**3 + 8*x**2 + 54*x - 252. Let q be f(26). Round q to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -511, -499, -477, -439, -379, -291?\n\"Answer: v**3 - v**2 + 8*v - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - 0.56. Let u = m - 1.05. Which is the smallest value? (a) u (b) 4\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4021 - 0.0021. Let v = -339.93989 - -339.54. Let n = h + v. What is n rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3 - 42. Suppose 91 = s + 3*s + 5*a, -4*a - 124 = -5*s. Calculate the remainder when s is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 15, -24 in descending order.\nAnswer: 15, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1733 = -3*j + 1708 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 7. Let q be m(6). Let l = -101 - -101. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((180675\/(-20))\/11)\/(12\/(-512)). Suppose 0 = 24*y - z - 32376. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 357*g + 20445. Calculate i(-57).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1290\/27 + 4\/18. Suppose 0 = -3*q + 15 + 24. Let k = s - q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 6066*h + 91201. What is q(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/9? (a) 2\/11 (b) 156 (c) 1758\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4587*u**2 + 5*u + 20. Let p(i) = -4586*i**2 - 4*i - 16. Give 4*h(a) + 5*p(a).\nAnswer: -4582*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttht when four letters picked without replacement from {z: 5, h: 1, t: 3}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 448931*p**3 + 8*p + 0 - 8*p + 448930*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 341182181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/6181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -265220 divided by -132610\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2)*c)\/(c*c**(-3))*c**3\/(c\/c**(3\/10)) assuming c is positive.\nAnswer: c**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 30*r**2 + 24*r + 62. Let x be m(-29). Let h = x + -205. Let n = -2 + 2. Solve n = 4*g + 4*z + 24, -6*z + 5 = -h*g - z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 49. What is the third derivative of 14*l - p*l - 23*l**2 - 3*l - 17*l**4 wrt l?\nAnswer: -408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 2 w when four letters picked without replacement from {z: 1, w: 3, j: 2, k: 1, a: 3, s: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 72. Let u(f) = -8*f + 71. Give 7*j(s) + 6*u(s).\nAnswer: s - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*u**3 - 67*u**3 - 45*u**4 - 14*u + 4 + 2*u**2 - 14*u + 26*u - 3*u**2 to the form z*u**3 + p*u**2 + t*u**4 + y*u + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111 (base 2) in base 5?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v - 2. Let o be i(2). Let h(b) = b**3 - 2*b - 1. Let a be h(2). Suppose -a = o*x - 79. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 54 = -3*n, -2*n + 154 = 3*x - 3*n. What is the tens digit of x\/(-6)*-14 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/69)*p**(1\/2))\/(p**6\/p**(5\/3)))**(-50) assuming p is positive.\nAnswer: p**(13325\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) 3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + 3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 452, 1029, 1836?\n\"Answer: 115*g**2 + 2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*w = 415047, w = -9 + 8. What is h rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6089 - -3768. What are the prime factors of r?\nAnswer: 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 10. Let i be -3*(4\/(-3) + j). Let p = 6 + i. Solve 4*h = 2*h - p*a + 18, -4*a - 3 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 3*g + 2. Let x be s(-1). Let h be (-3)\/x - 16*-1. Which is smaller: 35\/3 or h?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2548)\/3*(-201)\/134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (8 - (-5 + 8)) - (2 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.98 + 129.98. Let v = -6725.37 - -6853. Let c = o - v. What is c rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(40\/8 + -3). Solve 0 = u*l - 8 - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {v: 2, b: 1, e: 1, j: 1, w: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137677714 by -137677714.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 73*c**2 + 2. Let q be j(4). Let h = 14093\/12 - q. Calculate the common denominator of h and 89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40814 - 40?\nAnswer: -40854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*f + 14, 40*f - 36*f + 18 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.046 + 2.646. Let t = -3.1 + z. Which is the third biggest value? (a) -1\/6 (b) 5 (c) -11 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2335021061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2798 + -2803.548. Let i = -194.3 + 200. Let p = h + i. What is p rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5104, -8754, -10900, -11542?\nAnswer: -10680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1 + 0\/1. Suppose 5*h = j + 54, x*h - 11 = -j + 34. Suppose -h = 4*p - 3*u + 4, 4*u + 2 = -2*p. Let g(r) = 2*r + 3. Determine g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let z(p) = -7*p + 10. What is 6*l(n) - z(n)?\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 8 (c) -1 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 + 244. Calculate the least common multiple of 75 and i.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.423 - -8.823. What is the second biggest value in 3\/7, 1, -2\/15, v, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/28109 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 10*m - 6. Calculate k(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4941 + 1903. Let l(v) = 1711 - j - 78*v. Let z(k) = 3*k. Calculate l(z(b)).\nAnswer: -234*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282566 is divided by 309?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 111*k\/5 - 2898\/5.\nAnswer: -(k - 69)*(k - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 - 850?\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698953159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 2*v. Let i be p(-2). Let h = 8114\/7 - 1161. Find the common denominator of i\/4*(-4)\/(-10) and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131623339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2635 + -2618. Solve -3*n = -b*n - 70 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -398\nAnswer: -73\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - 185.3. Let d = 0.945 - 172.845. Let y = d - f. Round y to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21736441651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -4, 25, 2 in decreasing order.\nAnswer: 25, 2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 19. Let m(n) = n + 9*n**2 + 0*n + y - 8*n**2. Give m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (0 - 1) + (-1 - (4 + -9)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1\/10 (c) 6246 (d) -1 (e) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -828691 or -828685?\nAnswer: -828685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*w + 512*w + 0 = -32 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 2, m: 1, q: 1}. What is prob of sequence gqcm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -159, -1\/4, -48, -0.07, 4?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 16. Let q be m(4). Let k = q + -21. What are the prime factors of -5 + (-6)\/k + 183?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29050 is divided by 693?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*h + 2 - 2*h - 4 + 4 + h + 4 - 4 + 3*h - 7*h + 2*h + (0*h + h + h)*(4 - 1 - 5) - h - 5*h + 4*h - 2 + 2 - h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497*m**5*u - 18*m**4 - 47*m**3*u - m**2*u - 528*m**2 + 312*m*u - 6*u wrt m.\nAnswer: 29820*m**2*u - 432*m - 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(0 - -2) - 39402\/(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Let a = 63 - 58. Suppose -a*d - 25 = 0, d = 2*g - 0*g - 5. Solve 5*x + 2*j + 35 = g, -c*j = -5*x + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417476443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65 (b) 35\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + j - 291, -g + 86 = 4*j. Suppose -g = -8*r - 26. Solve -y = 2*y - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11093 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2761, 5540, 8319, 11098, 13877, 16656?\n\"Answer: 2779*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from {b: 7, o: 5, c: 7}?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 - 32\/(-8)) + 167. Determine o so that -163 + 4*o**4 + 322 - k + 2*o**5 - 6*o**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 228.\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(114) + sqrt(114))*2 + (sqrt(114) - (sqrt(114) + 3*-2*sqrt(114))))\/(1*sqrt(432)\/sqrt(8)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let l = 23 - v. Suppose l = 4*d - 35. Solve -d = 4*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:40 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*25\/(-450)*(-68)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6225 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y. Let c = 6 - 5. Let d be (c\/(-2))\/(1\/2). What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmamaaqqmmmmaqmx. Give prob of sequence qm.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2. Let y(f) = -31861*f. Determine b(y(s)).\nAnswer: 4060493284*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5797 + 5806. What is the highest common divisor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17436\/11 or 1584?\nAnswer: 17436\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4064, 17, 12, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - s + 5458, -3*k + 9776 + 6563 = -4*s. List the prime factors of k.\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 602903191, 3, 0 in increasing order.\nAnswer: 0, 3, 602903191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116263*a**3*c**4 + a**3*c**3 + 3*a**3*c + 41386*a*c**2 wrt c.\nAnswer: 2790312*a**3*c + 6*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 5*u - 10*u)*(5 + 4 - 11).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 + 1 + (-578)\/204?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 20*r. Let t(d) = -7*d. Let q(i) = 14*t(i) + 5*w(i). Let g(m) = 3*m. Calculate q(g(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 26 = -6. Suppose 4*r - 27 = -p*r. Suppose 5 = -k + 2*k - 5*o, r*o = -k - 3. Is k less than or equal to 8\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7098\/(-53235))\/(3\/((-2)\/(-2)))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + (-117)\/18)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxnxnxn. Give prob of sequence xnxn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48531577*0.5.\nAnswer: -0.242657885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1997877 - 23175*x + 1997877.\nAnswer: -23175*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4668 and 26088.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 5*u + 4. Let c be v(-2). Suppose -c - 30 = -4*j. What is the remainder when 69 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -568*m. Let b(x) be the second derivative of x**4\/6 - 7*x - 54. Determine b(s(v)).\nAnswer: 645248*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/3 + 10*d**2 + 922*d. Let j(g) = -2*g + 2*g + g**2. Determine j(o(c)).\nAnswer: 4*c**2 + 80*c + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.076 in -0.3, -12, 1\/5, -190?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjkrjrrjjjkrkjjrrkr. Give prob of sequence jkrr.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131047?\nAnswer: 7, 97, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*a = 26, -3*a - 24 + 9 = -2*l. Solve 5*t + 4*u - 16 = 0, 6 + l = -3*t + 3*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265575312.\nAnswer: 2, 3, 68032819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b94c6d (base 14) to base 10.\nAnswer: -6275233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*r - 4 = -3*r, 3*v + 5*r - 16 = 0. Suppose 2*n + 2 = 0, -1 = -v*f + f - n. Solve -f*b - 2 = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + -144 - (-25 - (0 - 0)) - 9 - -34.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/172, -3.715, 0.04 in descending order.\nAnswer: 0.04, -1\/172, -3.715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 + 21*p + 27. Let m be k(8). Determine a, given that -3\/4*a + 0 + 3\/4*a**2 + 3\/4*a**m - 3\/4*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 146*v**4 - 77*v**3\/3 - 4*v + 62. Find the third derivative of k(b) wrt b.\nAnswer: 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*o + 34*o - 242*o = -35026 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 81 = 4*n, -8*w + 10*w = -4*n + 90. Calculate the greatest common divisor of 198 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 160*f**2 + 20*f - 3307. Calculate k(160).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 9. What are the prime factors of k\/(-12) + (-333)\/(-12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13 + 4*r - 4*r + 6*r - 4*r. Let q be f(-7). List the prime factors of (7\/(-14))\/(q\/282).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525300393.91 take away -0.3?\nAnswer: 525300394.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*d - 17 = -0*s, -2*d = 2*s + 10. Let n = s - -64. What is the highest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/100 and 73\/74145.\nAnswer: 1482900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (0 + -10 + (40 - 22))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**3*t**3*w - 33*c*i*t**2*w - 2*i*t**3 - i*t*w - 356*t**2*w wrt c.\nAnswer: 33*c**2*t**3*w - 33*i*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) + -4 - sqrt(363)))*2)**2*-4 + 1.\nAnswer: -6063 - 1408*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 11*b + 40. Let a(f) = -16*f**2 + b*f**2 + 5*f**2 - 9 + 8*f. Determine a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13101131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(60\/9))\/1*-8. Suppose -d - a*d + 378 = 0. Let f = d + -52. Solve -x - 15 = -3*m - 4*x, 0 = f*m + x - 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:25 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -759?\nAnswer: -759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2324 and 7387.\nAnswer: 206836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 + 13\/(65\/(-100))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8220\/3699)\/(((-16)\/(-18))\/(-4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005104526943 to 5 dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-10)*0)\/1. Let f be (0 + 0)\/(-1) + r. Suppose 5*t - 3*g = -51 + 176, -2*g - 10 = f. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 3)\/((-5)\/(-10)). Let p(f) = f**2 - 11*f + 13. Let g be p(z). Let y be (0 + 2)\/2*-4. Which is the second biggest value? (a) y (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q**2 - 8*q**2 + 4*q**2 + 2 + 2*q**2 - 2 + (-4*q + 4*q - 2*q)*(3 - q - 3) - 3 + 3 + 3*q**2 + 7*q**2 - 9*q**2 - 1 + 2.\nAnswer: -9*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 20 = 4*p, 10*a - 8*a + 12 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -275, -274, -261, -230, -175, -90, 31?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -268*m + 5205. Calculate q(20).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 3, 4\/5, -77 in decreasing order.\nAnswer: 3, 4\/5, -2\/13, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5784178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -967*j + 13535. Calculate r(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 3*r + (2 - 4 + 0)*(r - r - r) - r - r + 0*r)*(23 - 18 + 24).\nAnswer: 58*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-24 - (46 + -14))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 910\/140 - (5 + 0) - 265\/190\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 2336*z**2 + 126720*z + 70502400.\nAnswer: 4*(z - 360)**2*(z + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 91.3. Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 15*x - 15. Let s be k(16). Suppose 2*j + s - 9 = 0. Let p(w) = -w**3 + 5*w**2 - 5*w + 5. Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*b + 9*b + 0*b)*(2 - 4 - 6) + 3*b + 8*b - 3*b to z*b + s and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 1 - 1 + (-c + c + 2*c)*(-2 - 2 + 3) - 14092 + 7050 + 19417*c + 7042 to s + m*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 + 158*d + 178. Determine f(-8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 2)\/5*(-25)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 114\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4 - 359606*i**3 - 79*i**2 - 5*i - 101?\nAnswer: 24*i - 2157636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b + 2. Let o be s(2). Suppose 0 = o*g - 6 - 2. Let p be (-30)\/14 + -1 + 3. Put p, -3, g in descending order.\nAnswer: g, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502470 divided by 83745?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/4 + 35*j**4\/4 + 100*j**3 + 250*j**2 - j - 2. Factor m(b).\nAnswer: 5*(b + 1)*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 92*l**2 - 265*l**2 + 0*l - 4*l - 125*l**2 to m*l + q*l**2 + x and give q.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -7*v - 157, 0*r + 5*r - 2*v - 1504 = -1487 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 499*h - 11 = -498*h, 2*h = 4*f - 34 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 471241792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(2 + 1). Let s = 4 + -4.3. Sort s, y, -0.4.\nAnswer: y, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(33)\/sqrt(44) - (3 + sqrt(3) + -1 - sqrt(3) - sqrt(3))) + -2 + sqrt(27) + 1.\nAnswer: -3 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76305079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.14, 10\/4427.\nAnswer: -0.14, 10\/4427, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7695.0463 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831263536 to the power of 1\/3, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:20 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 6*j + 217. Determine c(9).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i - 3. Let f(z) = -4 + 0 + 1 + 4. Let q(h) = 2*f(h) - g(h). What are the prime factors of q(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4522 (base 6) to base 10\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4969, 4980, 4991, 5002, 5013, 5024?\nAnswer: 5035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:20 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 + 2 = 0. Suppose w*v = v + 3. Suppose -4*t = v*f - 2*t - 11, -12 = -4*f - 4*t. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 345?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 68.9. Which is the nearest to l? (a) 2\/19 (b) -0.01 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*h - 2*h. Suppose 2*u - 84 = -u. Let m be u\/8 + 0 + -1. Sort m, h, 0.2.\nAnswer: h, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1006225.7 to the nearest 10000.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or 8657520?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n)**(-37)\/(n**(2\/5)*n\/n**6)*(n**(-1\/6)*n*n**(-4))\/((n**(-4)\/n)\/n**0) assuming n is positive.\nAnswer: n**(-2027\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/43 and 31\/11170172.\nAnswer: 480317396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038032658 rounded to 6 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16322*s**2 - 32646*s**2 + 26 - 17 + 16319*s**2 - 9.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let u(r) = -r + 4. Let v be u(4). Suppose v*z = z. Which is the closest to z? (a) 1 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 887 = -2*m - 5796, 4*b - 3*m - 3923 = 0. Let l be ((-1232972)\/(-96))\/(-13) + 4. Let y = b + l. Calculate the common denominator of y and -43\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 0.1, -2\/15, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/14 and 6\/(-10)*(-2945)\/76.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r - 2. Let l(u) = u**2 + 10*u + 19. Let q be l(-4). What is the smallest common multiple of 2\/(4\/(-120)*q) and h(-6)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3128 - -3132. Let f = -2 + -1. Let h = f - -2.9. What is the closest to 6 in h, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 - 297. Suppose 0*d = 4*d - 16. Is 11 a factor of (d\/(-3))\/(6\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20487, -20393, -20299, -20205, -20111?\nAnswer: -20017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 + 4. Suppose -26 = -2*t + 3*j - 4*j, -5*t = -5*j - 50. Suppose -2*l = -5*i + 17, 3 = -2*i + 3*l + t. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, -143, -0.4, 226, -0.2 in decreasing order.\nAnswer: 226, 2\/5, 0, -0.2, -0.4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*w + 734 = 0, -w + 1493 = -4*n + 6*n. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 36*c + 1522. Give k(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80812568 is divided by 230.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7976.172*-0.29\nAnswer: -2313.08988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 7, 0.15, -6, 17 in decreasing order.\nAnswer: 17, 7, 3, 1\/3, 0.15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + 6*-4*sqrt(76) - sqrt(76)))\/((sqrt(20) + sqrt(20) + sqrt(20) + sqrt(320))\/sqrt(5) - 3*sqrt(20)\/sqrt(5)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-7 + 1 + 7 + -7 + 7 + -10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) 1966 (d) 0.4 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -o + 1, -77*o + 5*c = -74*o - 11. Factor 4\/5 - 1\/5*r**o + 3\/5*r.\nAnswer: -(r - 4)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3575 and 10?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -361362*z + 413248 wrt z?\nAnswer: -361362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1539)*-2)**2 + 2).\nAnswer: 24632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463378021?\nAnswer: 61, 71, 97, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -1\/60*g**5 - 1\/24*g**4 + 0 + 0*g**3 + 0*g + g**2 - 1\/15*g**6. Suppose -17*p = -p + 16. Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 21*s + 7. Calculate c(15).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34331*w**2 - 64*w - 229 wrt w?\nAnswer: 68662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/720 + 2*2\/(-30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -t + 2*w, 0 = 5*t + w - 111 - 190. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3\/2 + 3*q**2\/2 + 147*q + 25. Let g(x) = 4*x - 3. Suppose -f - 3*z = 1, 3*f + 7 = -0*f - 5*z. Calculate f*g(u) - 5*b(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 2598125?\nAnswer: 16\/2598125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 16) to base 8.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.02 - 570.92. What is k rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2538 - 0.0462. What is the closest to 0 in t, -2\/111, 0.2?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156*v - 173 wrt v.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkgkggggkg. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -80\/7 (c) -0.3 (d) -5 (e) -3 (f) -0.1 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*b**3 + 83*b**3 + 92*b**3 - 142*b**3 - 113*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -641 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -23*b**7\/210 + 13*b**3\/2 + 44*b**2. Find the first derivative of g(v) wrt v.\nAnswer: -92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(1300) + 2 + 2.\nAnswer: 7 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72878 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -13*z**5\/5 - 5*z**4\/4 - 62*z**2 + 227. What is the second derivative of w(g) wrt g?\nAnswer: -156*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8523*u**3 - 6733*u**3 - 3286*u**3.\nAnswer: -18542*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -860 - -860.363. What is v rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33950453*t**2 + 33950456*t**2 - 135801825*t**2 + 33950458*t**2 + 33950461*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 4*n + 3. Let o be (7 + (-11 - -5))*(-9)\/(-1). Let k(m) = 26 + o*m - 53 - 5*m**2 + 2*m**2 + 20. What is 2*k(s) + 5*p(s)?\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 7\/8, 2, -3, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -21, 3, -4, 1 in decreasing order.\nAnswer: 3, 1, -4, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-2245)\/275 + 3\/(165\/(-11)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.38. Let a = 0.31 + m. Let x = a - -0.0200024. What is x rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) + 5\/21. Let m = 0.77 + -0.17. Let g = m + -0.7. Which is the smallest value? (a) u (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 3, 4, -266829, -8 in ascending order.\nAnswer: -266829, -8, -4, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16500 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331231002 - 2?\nAnswer: -3331231010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -41\/8. Calculate the common denominator of d and -25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -197, -692, -1655, -3242?\n\"Answer: -26*s**3 - s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3805*w = 1979*w - 18831 - 148905 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-627)\/165)\/(((-4)\/(-10))\/(-2)). Suppose -s = 6*c - 55. What is the third derivative of 8*d**2 + 11*d**6 - 5*d**2 + 0*d**c + d**2 wrt d?\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1050072, -2100784, -3151508, -4202250, -5253016, -6303812, -7354644?\n\"Answer: -y**3 - 1050705*y + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3 + 13. Suppose 5*t = -2*l + 196, 3*t - 56 - 60 = -2*l. Suppose 5 + t = s*z. Calculate the remainder when 25 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -38. Let o = s + 26.9. Which is the second smallest value? (a) o (b) 2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 2*j**3 + j**3 - 3*j**3 - 1 in the form l*j + t + n*j**3 + d*j**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33*(7\/3 + -1). Suppose 2*z = z + h. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**4\/12 - 6*i**3 + 381*i**2. Calculate z(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3461, -3221, -2981, -2741, -2501, -2261?\nAnswer: -2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 + 0\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + x - 55 + 108.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21868 is divided by 161?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i**3\/3 + 3*i**2 + 9. Factor p(v).\nAnswer: 2*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 439991760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/30 + c**5\/15 + 29*c**4\/12 + 52*c**2 + 2. What is the second derivative of m(v) wrt v?\nAnswer: -24*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24208 plus -400549.64?\nAnswer: -400550.88208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5029*n - 201095 = 204598 + 16743 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13631810?\nAnswer: 2, 5, 251, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 166 + 52. Calculate the greatest common factor of 1332 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + g**3 + 2*g**3)*(-19*g + 14*g - 9*g)*(-3*g - 2*g + 4*g).\nAnswer: 42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*8\/(-52))\/(100\/(-65)). Let n(d) be the second derivative of 0*d**2 + 0 - 1\/6*d**4 + 19*d + 2\/3*d**3 - i*d**5. Factor n(s).\nAnswer: -2*s*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -976111\/9 greater than -108456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30.79026ml?\nAnswer: 0.03079026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27283.\nAnswer: 27283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 12, 10\/9, -5, 4, 1\/2 in ascending order.\nAnswer: -5, 1\/2, 10\/9, 4, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38837?\nAnswer: 71, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -179*x**2 - 5*x. Let m(t) = 4237407*t - 25*t**2 - 4237409*t - 55*t**2 - 9*t**2. What is 2*j(k) - 5*m(k)?\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.2 (b) 4 (c) -4\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 9978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*d - 5*z, -4*z - 26 = 2*d - 3*d. Let f(g) = -2*g**2 + g**2 + 4 - g + 3*g - g + 3*g. Give f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 5. Suppose -3*y = -w - 1. Suppose u = -4 + 6. Solve 4*g - y*b = -30, g = -3*g - u*b - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**3 - 2*h**2 + 8*h. Let i(d) be the first derivative of -2*d**4 - 2*d**3\/3 + 7*d**2\/2 + 420. What is 7*i(w) - 6*y(w)?\nAnswer: -2*w**3 - 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 211?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -4*t**6\/15 - 21*t**4\/4 + 808*t**2 + 486*t. What is the first derivative of v(c) wrt c?\nAnswer: -32*c**3 - 126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*n + 266 = 2*r, -5*r + 335 = -5*n. Let m = -72 + r. Suppose -2 - 12 = 4*d - 2*h, 3*h = 2*d + 1. Put 4, d, 2, m in decreasing order.\nAnswer: 4, 2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6067 - -4094. Is -0.1 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 66484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13605547.\nAnswer: 4\/13605547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.97 + -0.17. What is u rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -216, -489, -872, -1365?\n\"Answer: -55*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 13*n + 26. Let l be y(11). Let w(c) be the first derivative of c**3 - 1\/4*c**4 + 0*c**2 - 3 - l*c. Factor w(j).\nAnswer: -(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552 = -22*k + 3188. Find the first derivative of 89*m - 85 + k - 83 wrt m.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6931 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 7*r**4 - 10*r**3 - 2 + 7*r**3 - 5*r**4 + 2*r**2 as d*r**2 + q*r**3 + t + i*r + f*r**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/8 + 5)*(-8)\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34450*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 178, -348, -1376, -3074, -5610, -9152, -13868?\nAnswer: -19926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 640 - 1369.297\nAnswer: -729.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20249524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 32\/(-4))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-6 + 15)) + (9 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -600, -2\/17, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1166*m - 687*m**2 + 40*m**4 + 42*m**3 - 409*m**2 + 155*m**3 - 400 - 2*m**5 + 81*m**3 + 14*m**3 = 0.\nAnswer: -8, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35dd64 (base 16) to base 14.\nAnswer: -67c68c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 8*g**2 + g - 2. Let j be a(8). Let c(i) = i**2 - 3*i - 2. Let r be c(3). Let s be r\/j*6\/(-1). What is the closest to s in 4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/1809)\/(279\/(-62)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 9) to base 5\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 8*y**2 + 4*y + 5. Let m be t(-6). Let x = -45 + m. Calculate the greatest common factor of 32 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i)\/i*i\/i**3*(i\/i**(-3))\/(i*i*i*i*i**(1\/2)*i) assuming i is positive.\nAnswer: i**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 + -86*(-1)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 2*v - 3. Let u = 21 + -17. Let r(i) = -i**3 + 4*i**2 - 2*i + 6. Let s be r(u). Let j(k) = -k**2 - k - 1. Calculate s*t(f) + 6*j(f).\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 20*n - 153. Let d be g(17). Sort d, -3, 0, -4.\nAnswer: -4, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - -0.01. Let g = 226.97 + -229. Let u = g + r. Which is the second biggest value? (a) 5 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:47 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/((-8)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 168 = -816. Calculate the greatest common factor of r and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 595 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1933 - -1929. What is the closest to l in 4, -1\/8, -48?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - 24) + (-15 - (-10 + 19 + -22)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3, 0 = 4*r + 2*h + 2*h - 32. Calculate the lowest common multiple of 0 - 2 - (-17 + 1) and (-4)\/(-8) - r\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*m**2 - 172692*l**3 + 3*l**2*m + 6*l**2 - 4028*l*m**2 + 7*m**2 wrt l?\nAnswer: -6*m**2 - 1036152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2282 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*d**4 - 5*d**2 - 1157*d - 1?\nAnswer: 756*d**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41.3545 milligrams?\nAnswer: 0.0000413545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9923 - 9923 + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4173398?\nAnswer: 2, 17, 131, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*r**4 - 302*r**2.\nAnswer: -2952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -63, -59, -53, -45, -35, -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 + 104*i**4 - 106*i**3 - 35156*i**2 + 34656*i + 207360 = 0. What is i?\nAnswer: -16, -2, 3, 27, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 4*g. Let j(v) = -2*v**3 + 5*v**2 + 5*v. Let p(n) = 3*n**3 - 2*n**2 - n - 2. Let d be p(-1). Calculate d*r(w) - 5*j(w).\nAnswer: 4*w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 9) to base 8.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {l: 1, f: 1, g: 2, i: 2, w: 1, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -29.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -523100 (base 12) in base 8?\nAnswer: -4731320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*l - 38*l - 38*l - 42*l)*(-2 + 1 + 0) to the form n + j*l and give j.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**6\/15 - 9*n**5\/5 + n**3\/6 - 85*n**2\/2 - n. Find the second derivative of x(d) wrt d.\nAnswer: -24*d**2 - 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62\/7? (a) 0 (b) -4\/7 (c) 8435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((((sqrt(175) + 0)*-1 + -1 + sqrt(175) + 4)*-4)**2 + -3).\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-66) - (-4)\/(-48))*(-60)\/(-35)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35701 (base 10) in base 7?\nAnswer: -206041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 2*g**2 - 92.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24286 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 1. Let s(x) = 79*x**2 - 5*x + 3. Let v(m) = -4*c(m) + s(m). Is v(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66622844 - -25965255. Suppose h = 36*z - 541371901. What is z rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38524 and 350182.\nAnswer: 388706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.7 + 144.31. Let r = u - 6.7. Let w = -1.08931 - r. Round w to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4681 + -4681 - ((-132)\/4 + -3 + -1)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(2 + 6\/(-6)*1). Suppose -g - 3*c + 0*c + 48 = x, 0 = -4*g + 2*c + 206. Calculate the remainder when 192 is divided by g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55748\/2172*(-2)\/(-7). Suppose 4\/3*j**2 - 16\/3 + k*j**3 + 2\/3*j**5 - 8*j + 4*j**4 = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - ((sqrt(363) + 1)**2 + -5) - (3 + -1*sqrt(363)))*5.\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/5 (b) 3 (c) -1.388 (d) -1 (e) -10 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55009 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5903.\nAnswer: 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130878099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231539923*j - 165081855 wrt j.\nAnswer: -231539923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102761, -110652, -118541, -126428, -134313, -142196, -150077?\nAnswer: -157956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 - 37*c - 63*c + 87*c - 70 wrt c.\nAnswer: -4*c**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46857015 a multiple of 3603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*s**3 + s**2 - 3*s + 258?\nAnswer: 48*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610846873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 148970311 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/529 and 38\/698579?\nAnswer: 16067317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 513105?\nAnswer: 205242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -230, -361, -544, -779, -1066, -1405?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-6))\/g)**(-2\/69)\/(g\/(g\/g**(1\/7)))**(3\/11) assuming g is positive.\nAnswer: g**(563\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*(-12)\/27)\/((-6)\/9). Let o(r) be the first derivative of 0*r + 5*r**3 + 5*r**n + 3 + 5\/4*r**4. Solve o(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1776.9 + 1774. Let f = 181 - 178. Which is the third smallest value? (a) -0.5 (b) f (c) l (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:32 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 2*v**2 + 2*v**2 - 7*v**2 - 2*v**4 - 18 - 10*v + 0*v**2 to the form a*v**4 + q*v**2 + s*v**3 + w + l*v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -890 - -938. Put -0.3, 1\/3, k, 4 in increasing order.\nAnswer: -0.3, 1\/3, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svbccsssssvbv. Give prob of picking 2 v and 1 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3965*f**2 + 432*f**2 - 6444*f**2 + 15 - 3 + 9*f + 1399*f**2 wrt f.\nAnswer: -17156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5\/(-2) - 33\/44*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 32964?\nAnswer: 164820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/7 + 19227*u\/7 - 715506\/7.\nAnswer: 3*(u - 37)*(u + 6446)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 6*s)*(-3*s**2 + 4*s**2 + 0*s**2) + (-2*s**2 - 2*s**2 + 8*s**2)*(-4*s + 4*s - 3*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, 40462, -4 in increasing order.\nAnswer: -272, -4, 40462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38172060 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168800 and 58072475.\nAnswer: 5275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312254 is divided by 44599?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.45, 0.319, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2868 - -4520. Let i = f - 791. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2 + 0 - 2*h - 1 - 1 + 6 + 4*h + (-5 + 2 + 2)*(-2*h - 4*h + 4*h) + 2*h + 12*h - 2*h.\nAnswer: 19*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -230 - -229.9999873. Round g to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*1*6\/((-36)\/10). Is z + 28060\/55 - 4\/22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93204, -93241, -93290, -93351, -93424?\n\"Answer: -6*o**2 - 19*o - 93179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -0.24 (c) -0.3 (d) 94 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let z = 11 + -7. Suppose n - t - 7 = -3, f*t + 22 = z*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -42*q**3 - 4*q**2 + 5*q - 2. Let o(d) = 20*d**3 + 2*d**2 - 2*d + 1. Let i(x) = -10*o(x) - 4*p(x). What is the third derivative of i(b) wrt b?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164401133 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxnfnnnnnxhnlnnnnn. What is prob of sequence xnlx?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 227989\nAnswer: -22798.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.771497 to three decimal places.\nAnswer: 3.771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 54 = 3*t, 149*t + 24 = 153*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -98*i - 2387 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1906 = 290*c + 1284 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5470.407nm to micrometers.\nAnswer: 5.470407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4121 + -0.4401\nAnswer: -4121.4401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = -39. Suppose 0*m = -m + 6. Solve -4*l + m + s = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -809 (base 10) in base 6?\nAnswer: -3425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 8*z + 9. Let o(g) = g**3 + 2*g + 2. Let r be -2 - 0 - (7 + -7). Give r*q(b) + 9*o(b).\nAnswer: 3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 7627.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*y = 177, 3*y - 152 = 3*i - 35. Let t = 9 - i. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m**2 + 18*m - 15. Let g be s(1). Suppose o = -3*o. Let j(a) = 1 + o + 0*a + 2*a. Calculate j(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 433\/345025 or 0?\nAnswer: 433\/345025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61391 is divided by 15245.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 1. Let g(f) = -2*f - 10. Suppose -3*m = -24*m - 126. Let c(k) = k + 8. Let p(u) = m*g(u) - 7*c(u). Determine -p(j) + 2*y(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1008012 - 598012. What is a rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**4 + 16145*k**3 - 100*k**2 - 1614500*k = 0.\nAnswer: -16145, -10, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 6:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55068825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 - 7*z - 1. List the prime factors of b(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m = -2*j - 77*m, 5*j + 4*m + 9 = 0. Solve 0*k - 3*k + 12 = -j*l, 4*k = -2*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -163646?\nAnswer: -163651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, 0.073, -2, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39063*o + 156248. Calculate b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugccgghaagctahht. What is prob of picking 3 g?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -103*p. Let v(t) be the first derivative of -24*t**2 + 424. What is v(j(s))?\nAnswer: 4944*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/(c**(2\/5)\/c))**14 assuming c is positive.\nAnswer: c**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-9401)\/170 + 9 + 506\/(-55))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 - 15*n - 227. Let j(i) = -14*i**3 + 40*i + 681. What is 8*g(o) + 3*j(o)?\nAnswer: -2*o**3 + 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -32*d - 137. What is h(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 27 = 3*a - z, 0 = a + 5*z + 8. Let q be (-4)\/(-4) + 7 + 1. Let l = q + -6. Solve -l*d = a - 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in 2\/2735, 2\/5, 0.1, -79, -1\/4, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:13 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38594633 - 0.304\nAnswer: -38594633.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 - 124 - 2243492*b**2 + 2243446*b**2)*(-4 + 3 - 1).\nAnswer: 92*b**2 + 582","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 85*i - 3 + 83*i to the form r*i + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -8920, 3, -4, -2.\nAnswer: -8920, -4, -2, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Suppose 724 = 3*k - 200. Let g be (3 - k\/100)*-5. Which is the smallest value? (a) l (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8094 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*d + 3 + 5, 0 = 2*n + 3*d - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -28*g + 61737. What are the prime factors of g?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 70, 3, 0, -127, -199 in increasing order.\nAnswer: -199, -127, 0, 3, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37569 = 8*t - 15791. Suppose -23*b - 437 = -t. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*x**5\/3 + 133312*x**4\/3 - 714842*x**3 + 4247876*x**2\/3 - 2595112*x\/3 + 119504 = 0. Calculate x.\nAnswer: 6\/31, 1, 14, 2134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i + 0*i + 5*i - 7 + 25. Let c be a(-7). Solve -c = 3*s - 4*g, -5*s + 2*s = 2*g + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-23)*(k**(4\/11)*k)\/k)\/(k**(4\/5))**(1\/7) assuming k is positive.\nAnswer: k**(-8759\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 79, 5, -0.9, -287, -0.5?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13874 from -2622653.694.\nAnswer: -2636527.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0 + 10. Let t(x) = -2*x**3 + 10*x**2 + 3*x**3 - h*x**2 + 2*x**2 + 6 + 5*x. What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 0 + 0 + 16. Let a = -10 + m. Suppose 4*d - 1 = a*d + u, d + 2*u = 7. Solve 7*k + 6 = w + d*k, -4*k = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18650)\/(-5595))\/((-10)\/(-9)). Suppose -85\/3*u**d + 27*u**2 + 2\/3 + 25\/3*u**4 - 23\/3*u = 0. What is u?\nAnswer: 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1611 - 1611. Factor 0*q - 4\/5*q**2 - 12\/5*q**4 + 4\/5*q**5 + j + 12\/5*q**3.\nAnswer: 4*q**2*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28156 by -4.\nAnswer: -7039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - sqrt(1700)*1*5) + -2.\nAnswer: -40*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/12*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1310 and 7074?\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.99999957 - -52. What is n rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226.7 - -227.7. What is the nearest to 0 in -0.5, 3, -2\/43, b?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9312487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 47.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10606, 21211, 31816?\n\"Answer: 10605*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51826052 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.6 - 3.6. Put 0.1, 3, -3, j in decreasing order.\nAnswer: 3, j, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6000051.\nAnswer: 3, 67, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let p(q) = -q**3 + 7*q**2 + q + 6. Let n be p(7). Let x(z) = -10*z - 3. Let u be x(-1). Let b(f) = -n*f + 29*f - u*f. Determine v(b(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.2. Let u = n - -0.3. Let t = -162 - -163. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3963 is divided by 1477?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -24. Suppose 0 = -3*o - 49 + 181. Calculate the greatest common divisor of r and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + 0.96. Let y = -263 - -262.7. What is the nearest to a in -5, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2\/13 (c) 1\/3 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*a*s**5 + 251*a*s**2 - a*s - 2*a - 48*s**4 - 370056*s - 2 wrt s?\nAnswer: 620*a*s**3 + 502*a - 576*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 368592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/30 - m**2\/2 + 3*m. Let b(n) be the first derivative of j(n). Let r(y) = y. Give b(r(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 - -52. Let c = g - -94. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1856 = -5*r + 61924. Let m be (-4)\/5 - (r\/10)\/(-2). Calculate the highest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 909366 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/114*24\/16?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b*k**3 + 2*b*k**2 - 26*b*k - 4*b + 12*k**3 - 1 wrt k?\nAnswer: -84*b*k + 4*b + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5 + 95*f**4 + 690*f**3 + 1460*f**2 + 1000*f = 0.\nAnswer: -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 145, -80.\nAnswer: -80, 1, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4 + -2*sqrt(7))**2 - 6*(sqrt(7) - sqrt(35)\/sqrt(5))) + ((-5 + sqrt(28)\/sqrt(4))*-5 - ((-3*sqrt(63))**2 + -1)).\nAnswer: -717 + 59*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2. Let s(x) = -8*x**2 - 12*x + 6. Let b(i) = -i**2 - 2*i + 1. Let u = 683 - 689. Let j(t) = u*b(t) + s(t). Give m(j(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 258863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 174*t - 176*t - 30, 3*t - 4*v = -29 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvgbmbvmmbebbm. Give prob of picking 1 v and 1 g.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 278 + 54 = 0. What is the third derivative of -5*b - 44*b**2 + 17*b**2 + o*b**2 + 130*b**6 wrt b?\nAnswer: 15600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-71 - -13 - -21)) + -19\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51830\/17 + -3049. Suppose 4*k - 4 = -0. Which is bigger: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032442343 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*p + 50 = 0, 20*t - 5*p - 5 = 16*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*s + 146*s + 3 - 327*s)*(s**2 + 0*s**2 - 3*s**2).\nAnswer: 52*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**3 - 5*x**2 + 2*x - 3. Let t be h(4). Let a = 1642 - t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67795 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 11*w**2 - 5*w + 5. Give g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o. Let p(g) = -5*g**2 + 6*g - 6. Let s(h) = -h**2 + h - 1. Let w(v) = -5*p(v) + 30*s(v). Calculate f(w(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6267 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73306, 146609, 219902, 293179, 366434, 439661, 512854, 586007?\n\"Answer: -r**3 + r**2 + 73307*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -5*c + 5, 4*c = 2*f + 12. Solve -2 = 3*r + f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -0.084.\nAnswer: -7, -0.084, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 g when three letters picked without replacement from {l: 4, x: 2, f: 1, u: 6, g: 1, d: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - (4*1 - (-79)\/316)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 82 + 17. Let i(q) = -q**2 + 7*q + 7. Let t be i(5). Let j = l + t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -29. Solve c*i = t - 14, -t = -3*t + i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 6*q - 918. Let x = 61 - q. Which is bigger: -42 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.5 (b) -5 (c) 4 (d) -0.366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21940.\nAnswer: 2, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 12 (c) -2\/19 (d) 4 (e) -18 (f) -0.2 (g) 514\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -17*u - 3*u + 27*u - 24 + 21*u. What are the prime factors of h(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -6) + -21 - -14 - (2 - 22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/i*i*i\/(i*(i\/(i**23*i))\/i*i)*i*(i\/i**43)\/i**41 assuming i is positive.\nAnswer: i**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261 - -265.7. What is the fourth biggest value in -2\/5, 4, r, 2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 15603784?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 + 8*k - 11. Let h be t(4). Solve -h*l - 13 - 10 = -2*g, 0 = -3*l - 4*g + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*h - 0*h. Let c be (-4)\/(-5)*-2*10\/(-4). Calculate the greatest common divisor of c and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2364 - 43908. Suppose 14*c + 2062 = h. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 629, 943, 1257, 1571?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5))**46\/(a\/a**(1\/6)*a*a**(4\/5)) assuming a is positive.\nAnswer: a**(749\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:14 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 0.042.\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/3 - 1096*b**3\/3 + 122018*b**2 - 34583800*b\/3 + 390105625\/3 = 0 for b.\nAnswer: 13, 133, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuugunuguugnugg. Give prob of sequence gn.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -539510, -1079204, -1618898, -2158592, -2698286, -3237980?\n\"Answer: -539694*n + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74899 by -1109.\nAnswer: -74899\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3 - 14*x**2 + 3 + 2*x - 1. Let c be a(1). Let y = c - -26. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7315*h**2*n + 23*h**2 - h - 49*n**3 - 19691 wrt n.\nAnswer: 7315*h**2 - 147*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2650165 and 115630.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -59. Suppose -4*k + 3 = -n. Suppose 9 = 3*i, -k*o + 20 = 3*i - 21. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 4*h**3 - h**3 + 2*h**3 + h**3 - 4*h**3 + (-1 + 5 - 3)*(7*h**3 - h**3 - 4*h**3) - 4*h**3 + 5*h**3 + 3*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 1}. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11419.67 - -11419. Sort x, 0.2, -0.9, -0.02 in increasing order.\nAnswer: -0.9, x, -0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 1\/70*l**7 + 0*l**6 + 0*l + 0*l**5 + 0*l**4 + 0 + 2\/3*l**3 + 4*l**2. Differentiate o(s) wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r + 1. Suppose 2*k + 85 = z - k, 5*k - 325 = -3*z. Calculate the remainder when z is divided by p(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97*17.4\nAnswer: 1687.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 + 1 + 38 - 91*m**2 - 2*m + 31 + 39 to k + p*m**2 + r*m and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + 18. Let f = 102 - d. Let q = 0 + 0. What is the closest to f in -2\/5, 3\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 74, 43, -22, -133, -302, -541?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280)\/660*(-4752)\/4536?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12001121222200?\nAnswer: 12001121222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -15) + (25 - 38).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3*y**5\/40 - 33*y**4\/32 + 17*y**3\/8 + 189*y**2\/16 + 27*y\/2 + 5902. Determine n, given that p(n) = 0.\nAnswer: -12, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*p + p + 51, 2*g - 5*p - 43 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154, -1156, -1158, -1160, -1162?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 99202128 divided by 92\nAnswer: 1078284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 71\/1886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 33 - 117. Suppose 2*q = -o + 13. Let y(x) = -2*x**2 - 6*x - 1. Determine y(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 4*c + 7. What is i(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9116634 to four decimal places.\nAnswer: 0.9117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1)*s**(4\/5)*s)\/(s**0*s**(-6)))**(-16))**(-44) assuming s is positive.\nAnswer: s**(27456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4671216 (base 8) to base 10\nAnswer: -1274510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 54*k + 1. Suppose w - 4*d + 6 = 0, -3*w + 43 = 4*d - 3. Calculate the remainder when a(1) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**5 + 43*k**3 - k**2 + 116. Let r(w) = 3*w**5 + 64*w**3 - 2*w**2 + 173. Let j(f) = 7*i(f) - 5*r(f). What is the third derivative of j(o) wrt o?\nAnswer: -60*o**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5657276 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 2. Let h(b) = 2*b + 4. Let t(z) = -6*h(z) + 13*u(z). Let m(p) = 3*p - 4. Let k be m(3). Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -3)*-5 + (2*sqrt(275) - sqrt(275)) - (6*-2*sqrt(77))\/sqrt(7)*-1)**2.\nAnswer: -360*sqrt(11) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i - 3. Let j be x(-12). Let t be (j\/45 + -3)*-3. Let d = -0.34 - 0.06. Which is the second biggest value? (a) d (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 30. Suppose -3*u + f + 2443 + 494 = 0, -l*u - 3*f = -4895. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -541 - -925. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 3, s: 1, r: 4, e: 1}. What is prob of sequence te?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 0.4. Let m = 1 + k. Which is smaller: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213044041 (base 5) to base 4.\nAnswer: 3131333113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 71*x + 113. Let j be s(-10). Let r = -327 - j. What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 1, o: 3, h: 4, r: 2, f: 2}. Give prob of sequence hrrz.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psc when three letters picked without replacement from {y: 4, r: 1, p: 2, u: 2, s: 3, c: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:36 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2030 in 2, -2\/19, -1\/62, 4, 0.1, -1\/282?\nAnswer: -1\/282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 12c473c?\nAnswer: -12c4740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74463 is divided by 856?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(176)\/sqrt(4) + sqrt(44)))\/((sqrt(40) - (-1*sqrt(40) + sqrt(40)))\/sqrt(10)) + (2 + sqrt(99) - sqrt(99) - sqrt(176)*4)**2 + 1.\nAnswer: -72*sqrt(11) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/3*12\/8. Suppose -4*t + 43 + v = 0. Let c(n) = -n + 13. Calculate the remainder when t is divided by c(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baab when four letters picked without replacement from abbbbbbbbbbaaaaabb.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.71 + 1.71. Which is the second smallest value? (a) y (b) 2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*i - 15 = -6*a, -22 = -3*a + 5*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+5744\nAnswer: 5743.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 346783867 less than -0.022365?\nAnswer: -346783867.022365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 22.\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a + 78 = -557 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -2\/7, -2\/13, 510?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 15*o**2 + 17*o + 36. Let s be b(-14). Is s\/12*85328\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (3 + -1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779317986.9 rounded to the nearest one hundred thousand?\nAnswer: 1779300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1250 times -888.7\nAnswer: 1110875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.3, -2\/3, -2, 1250?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + 28*q + 18. Let o be x(-12). Let y = -1551 - o. What are the prime factors of y?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 58297249.\nAnswer: 58297249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g = -5. Let o = -96 - -94. What is the closest to g in o, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 1, -1, -4 in descending order.\nAnswer: 1, -1, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 60*p**2 + 4*p + 3. What is the units digit of v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(-5 + (6*((sqrt(190) + sqrt(190)*-2 - sqrt(190))*5 + sqrt(190)))\/((5*(sqrt(70)*1 + sqrt(70) + sqrt(70)))\/sqrt(7))).\nAnswer: -216*sqrt(19)\/5 - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 415?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5689*z + 31604 - 31604 to u*z + l and give u.\nAnswer: -5689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30123 (base 5) in base 9?\nAnswer: -2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -3.4. Let u = -3 - g. Let s(v) = v**2 + 8*v + 18. Let m be s(-4). Which is the third biggest value? (a) m (b) 3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -170, -104, 18, 214, 502, 900?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(1 - 9\/6). Determine j so that -3*j**3 + j**2 + y*j**3 + 3*j**2 - 2*j**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ad567 (base 16) in base 10?\nAnswer: -8050023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17083.2021 rounded to the nearest ten?\nAnswer: -17080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:43 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -17. What is the third biggest value in 7, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14.224, -5\/12, -0.1 in ascending order.\nAnswer: -5\/12, -0.1, 3, 14.224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 212478020 less than -1.685?\nAnswer: -212478021.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597829?\nAnswer: 43, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, -5, 1519 in increasing order.\nAnswer: -5, -2, 1, 3, 1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816, -6103, -15868, -30117, -48856, -72091, -99828?\nAnswer: -132073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 861.04 + -860.74. Let m = -2.6 + 0.6. What is the nearest to -0.7 in z, m, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-701612*2\/(-28))\/(-1 - -3)*7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*y**3 + 139*o*y + 954*y**3 wrt o?\nAnswer: y**3 + 139*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let o(h) = 4*h**2 - h**2 - 4*h**2. Determine o(t(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14811 - 0.0466. Round m to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139\/720 - 11\/80. What is the second smallest value in -0.4, -4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 - 1.46. Let w = q + 15.3. What is the second smallest value in 0.5, w, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 45. Let o be k(-13). Let i = 4829 - 28853\/6. Calculate the common denominator of i and o\/(-51) + (-4695)\/408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -5\/4*h**4 - 70\/3*h**3 + 0 + 50*h**2 + 18*h. Let j(l) = 0. Calculate l.\nAnswer: -10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) -151 (d) -3 (e) -0.961\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6806676 times 0.3\nAnswer: -2042002.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 3) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 2) + (-6)\/(-1). Let d(f) = 7 - 2 + 3 - 19 - 17*f + 8*f**2 - f**3 + 20*f. Determine d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 65 - 55 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 0*y**4 + 3*y**4 + (2*y**2 + 0*y**2 - 4*y**2)*(-3*y**2 + 2*y**2 + 2*y**2) + (2 + 2 - 2)*(56*y + 238*y + 215*y)*(-6*y**3 + 18*y**2 - 18*y**2).\nAnswer: -6111*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -55*h**2 - h + 12. Let z be j(-13). What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3265670104 to 4 decimal places.\nAnswer: -0.3266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25 from -5194.90584178.\nAnswer: -5169.90584178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8025 is divided by 1944.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23071836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5616 and 73\/523536.\nAnswer: 4711824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 9*h**2 - 13*h - 10. Let r be t(-3). What is the closest to 0 in 0.2, 0.022, r?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {f: 8, s: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 42. Solve -2 = -2*b + 4*p + p, -3*b - 5*p = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6891310 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/3 and -28\/1865.\nAnswer: 5595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4332.953ml in litres?\nAnswer: 4.332953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1334495\/28 or -47661?\nAnswer: -1334495\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 23 = -3*c - s, -2*s + 20 = -3*c. Let m be 7103\/7 - c\/21. Suppose 4*v + m = 2691. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**41\/o)\/o**(-2\/11) assuming o is positive.\nAnswer: o**(453\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 954.19 + -954. Let k = 4.1 + -4. Let g = 0 + k. Which is bigger: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = -24. Is 657\/12 - (-3)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241208767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + 4*j + 3*j - j - 3*j + 2*j + 5 - 5 + (-3 + 5 + 0)*(6*j - 3*j - 2*j))*(2*j + j + j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*f + 2, -3*o = 2*o - f - 14. Let i(p) = -p**2 - 1. Let t(c) = -71*c**2 + c + 7. Let n(k) = -4*i(k) - t(k). Is n(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627663 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - 5*y**2 + 13*y + 6. What is c(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/29? (a) 5 (b) -4 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, 0 in decreasing order.\nAnswer: 3, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226080 rounded to the nearest ten thousand?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2027523 (base 10) to base 3.\nAnswer: -10211000020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -360806*(-4)\/44160 - (-4)\/16. Let z = v + -2180\/69. What is the common denominator of z and -77\/18?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -837, -1968, -3391, -5106, -7113, -9412?\n\"Answer: -146*j**2 - 693*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/10 - 56\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 39. Let g be v(0). Suppose 150 = 3*l + g. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 785 - 1109?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 2*r. Let v(d) = -2*d + 1. Let w be v(-2). Suppose 3*k = w*k. Suppose k*i + 8 = -4*i. Give p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 8. Let d be 8\/(-27)*(-15)\/h. Suppose -4*x = 24, 2*y = 2*x - 248 + 268. Which is the second smallest value? (a) 1 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.446 - 0.554. Let i(j) = j**3 - 9*j**2 + 3. Let r be i(9). Let w be (6\/r)\/(8\/13). Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87513?\nAnswer: 3, 31, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -20.94. Let v = a - 2.06. Is v at most 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/68*1*(-3)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -286*c**3 + c**4 - 1 - c**2 + 295*c**3 + 2*c**2 in the form s + i*c**4 + f*c**3 + x*c**2 + n*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -8 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 10, x: 1, m: 1}. Give prob of sequence mf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 26570 + 0*g + g + 27031.\nAnswer: -g + 461","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -16\/5, -1\/9, 393, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-2) + 6\/3. Find the common denominator of (-191)\/60 + s\/84 and (-153)\/4 - 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(640) + sqrt(640)*1 + sqrt(640)).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 4\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 52*i + 54 = 0. Suppose -i = 12*o - 3534. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 6. Let w = 14 - 20. What is the units digit of d(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 1199*q + 2*q**2 - 1201*q - 2 + 3*q**2. What is the remainder when 7 is divided by k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 3. Let l(b) = -b**2 + 12*b - 7. Let d be l(11). Suppose -i = -d*i + 18. What is the units digit of k(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:18 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 991 + 4*r - 984 - 3*r. Give k(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.05. Let w = -172 - -173. Let o be (-111)\/18 + 5 + w. What is the second biggest value in x, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -187, -227, -231, -199?\n\"Answer: 18*p**2 - 130*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 48 + 38 + r - 5399*r**2 - 15.\nAnswer: -5399*r**2 - r - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*t - 12, -5*p + 3*t + 6 = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/((o\/(o\/(o\/(o*o**(2\/11)*o))))\/o))\/o)\/o)\/o*o*o**6)\/(o**(4\/7)*o**(-3)))**(-33) assuming o is positive.\nAnswer: o**(-2220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 7, c: 4}. Give prob of picking 1 z, 1 c, and 1 l.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1917*f**3*h**3 + 8*f**3*h - 102*f**3 - 1392*f**2*h - 865*h**3 wrt f?\nAnswer: -11502*h**3 + 48*h - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110010111010101001 (base 2) to base 9.\nAnswer: 6272178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 2674736*v + 894276583712.\nAnswer: 2*(v + 668684)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 437071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-12 - -27) - -18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -866.2 - -866. Which is the second smallest value? (a) u (b) -33 (c) -0.5 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - -0.03. Let q = -0.868 + -0.062. Let v = q + -0.07. Which is the nearest to v? (a) r (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 - 453?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from fffrfrfr.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let n(s) = s**3 - 16*s**2 + s - 29. Let t(u) = -h(u) + n(u). Let v be t(16). Let y = -12 + 29. Solve -3*a + w + y = -0*w, 35 = 5*a - v*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23531353 and 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 274, 341, 452, 607, 806, 1049, 1336?\n\"Answer: 22*o**2 + o + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**3\/3 - 2. Let t(b) be the first derivative of b**2\/2 + 7742. Give r(t(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*g - g**4 - 61*g - 9 + g**2 - 435*g**3 + 433*g**3 to r*g + w*g**3 + a*g**2 + x*g**4 + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 9*p + 1. What is the remainder when (3 + 0)\/((-3)\/(-2)) is divided by y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5761.689 millilitres to litres.\nAnswer: 5.761689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*z**4 + 77*z**3 + 24*z**2 - 57*z + 3236 wrt z.\nAnswer: -1440*z**2 + 462*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g + 11, -2*g - 13 = -3*g + 3*d. Suppose -54 = -2*k - g*k. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87300 divided by -18.\nAnswer: -4850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 504, 0, -184 in descending order.\nAnswer: 504, 0, -2, -6, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:04 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 g when four letters picked without replacement from {b: 3, g: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + 4 + (31 - 29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6, 42, 78, 1, 0.\nAnswer: -6, 0, 1, 4, 5, 42, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 797 = -5*a + 6*a, -x + 401 = -a. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.32. Let v be ((-1)\/(-10)*4)\/((-24)\/45). Let d = 227 - 223. What is the third smallest value in 2\/13, d, n, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/24 + 14\/6. Suppose -5*g = u - 79, 3*g = -q*u - 2*u + 316. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10293*t**2 + 10294*t**2 + 0 - 3*t to x*t**2 + d*t + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1217158, 1217123, 1217088, 1217053, 1217018, 1216983?\n\"Answer: -35*z + 1217193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:55 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128614 (base 14) to base 8.\nAnswer: 2335552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Which is the closest to 0.1? (a) -3 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = -65*o - 152 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6382.7l?\nAnswer: 6382700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.379 - -3.379. Is j greater than or equal to 5067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225211162 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:14 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 571262 bigger than 571206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbwbwvavwvbkwwa. What is prob of sequence vv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 10. Let m be w(6). Let t(x) = 9*x - 6. Let j be t(m). Suppose -2*n + 5*n = j. What is the greatest common factor of 90 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -1, -309 in increasing order.\nAnswer: -309, -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 40 = -4*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 3 + (-2 - 1 + 1)*(0*b - 5*b + 4*b))*(4 - 4 + 3).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 3*x**2 - 3*x - 4. Let c = -1 - -6. Suppose 0 = c*w + 15, -4*w + 6 = d + 22. Calculate j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 15. Let s be t(-6). Let k(x) = -3*x - 1. Let d be k(s). Does 4 divide d\/(-70) + (-58)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.1 (c) 7 (d) -1\/3 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2101*u - 10861. Calculate the lowest common multiple of s(7) and 22.\nAnswer: 42306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -515, 7.\nAnswer: -515, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 1. Suppose -4*m - 4*f = -4, 4*m + 5*f + 42 - 50 = 0. Suppose -2*n - 5*b = -7*n - 20, b - 6 = 2*n. Let u(s) = 2*s + 2. Give m*u(t) + n*c(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11303120 + -11?\nAnswer: 11303103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrikkkkpirp. What is prob of picking 1 k and 1 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0789343 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.5 (b) 4 (c) 18 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -13\/1835?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vggyyvvv. What is prob of sequence vgg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from {b: 6, k: 1, d: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 27 = -45*g. Let s(x) = -420*x - 34 - g + 434*x. What is the units digit of s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 6*f. Let w(m) = 6*m**3 - 7*m. Suppose 22*n - 28 = 29*n. Determine n*w(x) - 5*a(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s**3)*(-2 + 0 + 0) - 4*s**3 + 6*s**3 - s**3 + 129*s**3 + 176*s**3 + 222*s**3.\nAnswer: 524*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-4\/3)*k*k**(-9\/5)*(k**0\/k)\/((k*(k\/(k\/(k\/k**(-22))))\/k)\/k) assuming k is positive.\nAnswer: k**(-347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 22 = 3*b, 101*b - 99*b - 5*x + 40 = 0. Let c be 9\/15 + 4\/(-20). What is the smallest value in b, -1, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048934 to five decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53764 + -5c?\nAnswer: -537c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 18*s**3 - 17*s**3 + 1120 - 3*s**2 + 469 + 330 to u*s + m*s**3 + y + h*s**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 20 = -j. Let o(s) = 8*s**3 - s**2 - 2*s + 2. What is the remainder when j is divided by o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 9:19 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 - -151. Let r = q - 412.999809. What is r rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 20*s - 79. Suppose -434*a = -437*a - i - 46, -a + 5*i - 10 = 0. What is t(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154 and 11.7295.\nAnswer: 1806.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 28451*c. Let o(h) = 9*h + 1. What is n(o(w))?\nAnswer: 256059*w + 28451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27950 - 27949 - 5*n**2 - 2308*n**3 + 55930 - n wrt n?\nAnswer: -13848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69.81611g?\nAnswer: 0.00006981611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) - (-2)\/4. Suppose -16 - g = -3*o. Suppose 3*i + 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 r(w) be the second derivative of -5*w**4\/12 + 4*w**3\/3 + 5*w**2\/2 + 30*w. Let z(g) = 9*g**2 - 15*g - 9. Determine 11*r(i) + 6*z(i).\nAnswer: -i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16 = 5*k - 3*k, -5*c + 3*k + 19 = 0. Solve t + 4 = 3*m + c*t, m + 3 = 4*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6264*a - 6214*a - 3420300 = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10600 + -10598. Solve -91*b = g - 89*b + 4, 3*b = m*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 3 (c) 0.7602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, b: 1}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4417*m**2 - 2*m - 3. Let w(j) = 9*j**2. Calculate u(w(g)).\nAnswer: 357777*g**4 - 18*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1994 - -1941. Which is smaller: y or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 2*l - 1. Let t be a(-3). Suppose 5*k - k = 16. Solve 3*g - s = k*g - 4, 4*g + t*s = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9873 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.054 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 4, d: 5}. Give prob of picking 4 a.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (2 + -2)\/1. Suppose 5*u - 127 - 31 = q*m, -20 = 5*m. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338794, -1338836, -1338878?\nAnswer: -1338920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i**3 + 8 - 7*i - 3*i**3 - 11*i - 12*i**4 + 11*i**3 + 16*i**5 - 14*i**5 + 4*i**2 = 0. Calculate i.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -38. What is the biggest value in -2, 2, 0.4, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 26*b + 5*o - 110, -6*b + 2*o = -3*o + 146 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70\/56*((360\/9)\/8 + -11 + 10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:05 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.1316. What is h rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 30 - 3. What is the second derivative of -136 + b*f**3 + 7*f + 136 wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133320203321 (base 4) to base 8.\nAnswer: -37704371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 92*a - 535. Calculate n(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749 (base 16) to base 13.\nAnswer: b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-25) - (-9)\/15. Suppose -30 = -4*q + 2*d, m*d - 18 = -2*q + d. What is the least common multiple of q and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50544)\/3402*(-7)\/4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10631912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7143696476 to the power of 1\/3, to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/2)\/((-27)\/36). Let v be (-2)\/j + (535\/3)\/5. Suppose -5*t = -3*t - 12. What is the highest common factor of t and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-483) - ((-198)\/21)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*p + 641424 = -72*p. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1024*y + 2468. Give m(-2).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5.7. Let r = 3 - 3.2. Let d = r + i. Put d, 4\/7, 1 in ascending order.\nAnswer: d, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 41*x - 30 - 5 + 48*x - 315*x as r + t*x and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 25521817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111100000101 (base 2) in base 15?\nAnswer: 5ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmvhmjsjmvshvjvh. Give prob of sequence hsjv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -271 (b) 0.7 (c) 206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*j - 14137 = 2275 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.523892 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.7 (b) -0.01 (c) -0.1 (d) 1 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152320 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109294163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 3688925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*x + 16 - 86, -6*v + 25*x = -3*v - 0*v - 940 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*b - 3*b**4 + 20*b + 400 + 231 - 141*b**2 - 155*b**2 wrt b.\nAnswer: -12*b**3 - 592*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000972707 rounded to seven dps?\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 97 = 87. Let j be (-1 - -5 - 6) + 6. Which is the nearest to d? (a) 4\/7 (b) 1\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -12*o + 36. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h + 6. Let p be (3 - 2) + (4 - 4). Suppose -a - p = 4. Is s(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/412 and -47\/412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 662*b + 5 - 1.\nAnswer: 662*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 75.0000597. Round w to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 - 1321*s**4 - 10690*s**3 + 77170*s**2 - 116991*s + 51831 = 0.\nAnswer: -13, 1, 3, 1329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j**2 - j**2)*(-2*j**2 - 3*j + 3*j) + j**4 + 0*j**4 + j**4 + 0*j**3 + 0*j**3 - 2*j**4 + 156*j**3 - 3*j - 154*j**3 + 2*j - 3*j**4.\nAnswer: j**4 + 2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 150053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -305 - -5?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -2 + (36 + 38 - (-23 + 34)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -2*h**3 - 5*h**2\/2 - 55. Let x(o) = 3*o**2 + 3*o. Let p be (5\/(-3) + 0)*3. Give p*x(l) - 3*j(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 211*q**2. Let y(b) = 3*b**2 - 4. Calculate y(s(u)).\nAnswer: 133563*u**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 50 - 13)*(3*n**3 - 3*n**3 + 2*n**3) + 2*n**3 - 2*n**3 + n**3.\nAnswer: -105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 1 - 1 + (-2*r - 3*r + 4*r)*(-2*r + 0*r - 4*r) + 2*r**2 - 2*r**2 - 3*r**2 in the form y*r + f*r**2 + d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4207875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 809156481 to the nearest integer?\nAnswer: 28446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10798298 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Let j = 6 - 3. Suppose -s - j = -n*s. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -j - 7*f + 22, 0 = -j - 4*f + 32. Calculate the highest common divisor of j and 1776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))**50)**12*(m**(-1)*m)\/((m*m**(-3)*m)\/m)*m**2\/m**6 assuming m is positive.\nAnswer: m**1198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:53 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(2*a + a - a)*(-5 + 0 + 1)*(0*a + 2*a + a).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44483*d**2*s**3 - 115*d**2*s**2*y + 3*d**2*y**2 + 3*d*s**3 - 2*s**3*y**2 - 46*s*y + 21*y wrt s.\nAnswer: 266898*d**2 + 18*d - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2299) - sqrt(19))**2 + -1 + sqrt(1539).\nAnswer: 9*sqrt(19) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 943, -1, 18, 0 in descending order.\nAnswer: 943, 18, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 332946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 17. What is the remainder when 35 is divided by p(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.19, -1\/8, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 99 = 97 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231324 divided by 1892.\nAnswer: -57831\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**3 - 2*a**2 + 10*a - 27. Let c be o(3). Suppose -11*z + c = 3*z. Calculate the least common multiple of z and 34.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24972559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.15975?\nAnswer: -0.009585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155600*a + 4*a**2 + 28*a**3 + 155600*a.\nAnswer: 28*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 40*a + 14 = 0. Solve -4 = s - a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 10*k - 192. Let i = k - 26. Suppose -4*c + 15 = c. What is the highest common divisor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 - -193. Let s = -68 - c. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82249 and 699?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*t + 3 = 126, -t = -3*k + 84. Suppose -k*p + 12*p + 1080 = 0. Let z be (-1)\/3 - 25\/(-3). What is the highest common divisor of z and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.5 (c) -0.05973 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*r + 5, 0 = 2*s - 3*r + 2 - 4. Let n = 8 + s. Suppose -n*j + 23 + 31 = 0. Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.18 - 14.18. What is the third biggest value in 0.04, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 0.15. Which is the smallest value? (a) y (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10\/(-15)*9) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73e2 - -4?\nAnswer: -73de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 94141.34s?\nAnswer: 94141340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -54. Solve 0 = 4*j - m*a - 32, 0 = -2*j - 2*a + a + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248092611 to the power of 1\/2, to the nearest integer?\nAnswer: 35328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40917*n**3 + 27*n**2 + 10*n + 88931980?\nAnswer: 122751*n**2 + 54*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116172 - -540?\nAnswer: -115432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 10) in base 15?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 51*v - 28. Calculate x(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0692 + 8.0692. Let u(w) = w**2 - 4*w - 8. Let i be u(6). Let z = -51\/140 + -1\/28. Which is the third biggest value? (a) n (b) z (c) i (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4269 and 6665332?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 8, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-1 + 2 - -1) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 16 = -112. Calculate the highest common factor of 112 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 0 - (-6*sqrt(425))**2) + -3*-6*(-1 + sqrt(272))**2.\nAnswer: -10386 - 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/1858 - 84715\/29728. Calculate the common denominator of 4\/(-6) + (-417)\/(-45) and r.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2858859 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 32570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 - 2*v**2 - 2*v - 2. Let r(x) = 15*x**3 + 7*x**2 + 7*x + 7. Give 14*d(m) + 4*r(m).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 6. Let o = -35 - -46. Let r(d) = 4*d + 11. Determine o*b(m) + 6*r(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f**2 + 94*f**2 - 13*f**2.\nAnswer: 112*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/10*(-38925)\/(-135)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 214 - 100 - 150 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -235, -4, 3, -5, 86, 19 in descending order.\nAnswer: 86, 19, 3, -4, -5, -12, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-8) + 1 + 1195\/(-600) and 13\/44.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42712 is divided by 14186.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -3 - (-2 + -5) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14571 and 3?\nAnswer: 14571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321625 is divided by 164.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6625 by 25.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466 + 2035*d**2 - 2049*d**2 - 466.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216824 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 3*w + 8*w + 4 - 10 in the form q + y*w**2 + j*w and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 119. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 412\/(-20) - 6\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103485619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239041, 239049, 239057, 239065?\nAnswer: 239073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 w, and 1 j when four letters picked without replacement from wjwwnvk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(5))**2*6 + -4 + sqrt(5)*-2).\nAnswer: -4*sqrt(5) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2241610 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 9 = -3*j, 4*j - 6 = -2*w. Solve -w*l = -10 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15*c - 79. Let h be k(7). Solve h*a + 17 = -61 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1902396 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q + 185. Let i be (39\/13)\/((-6)\/(-4)). Let h be i\/(-4)*-4 - q. Calculate the highest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10849350 to the nearest 100000.\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4713742543471.\nAnswer: -4713742543471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Let u(m) = 3. Let j(w) = 1. Let r(z) = -4*j(z) + u(z). Calculate f(c) - 4*r(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351557340 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.63 - -0.03. Let u = i + 1.6. Let v = u - 1. Put v, -1\/5, -1 in decreasing order.\nAnswer: v, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156*j**3 + 472*j**2 - 1460*j + 400.\nAnswer: 4*(j + 5)*(3*j - 5)*(13*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {l: 1, o: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) 0.4 (c) 236.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*s = -358*s - 51 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112\/115135 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 4.08. Put -0.3, 0.5, w in descending order.\nAnswer: 0.5, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1)*(-3 - 3). Let l(r) = r + 4. Let o be l(i). Let z be (1*4)\/(o + 3). Solve -16 = -5*f + z*j, -3*f - 4*j - 16 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/48, -17.8, -1\/3, -2 in ascending order.\nAnswer: -17.8, -2, -1\/3, 1\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (2*sqrt(252))\/sqrt(9))**2 + ((sqrt(1792)*-3)**2 - sqrt(28)) + (0 + (-1 + sqrt(567))**2 - ((-1*sqrt(448))**2 + 4)).\nAnswer: -20*sqrt(7) + 16496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 0, j + b = -2*b + 4. Suppose v + 5*k = 6*v - j, 4*v = 3*k + 7. Let l be (2 - 6) + (0 - 6)\/6. Put l, 5, v in decreasing order.\nAnswer: 5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 4, d: 2, q: 1}. Give prob of sequence idq.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*t = -170*t + 109*t + 329 + 481 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 45842 + 2706\nAnswer: 48548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423\/2 - -243. Let o = 1074261\/668450 - 42\/11525. What is the common denominator of s and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -917 and -730 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*y + 72. Suppose -j = j + b - 82, y*j - 3*b = 74. Calculate the lowest common multiple of 28 and j.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -130.4652 and -73074243.\nAnswer: -73074373.4652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5306, 17720, 38410, 67376, 104618, 150136, 203930?\nAnswer: 266000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 377302891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -24, 1, 7\/5, 4, 639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 2\/5*s**2 - 32\/5*s.\nAnswer: -2*(s + 1)*(s + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3006.\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o + 20. Calculate c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 107 + 87 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(192))*-5*-4.\nAnswer: -160*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70289\/13 - -5403. What is the nearest to 2 in 1\/4, r, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11087, -11086, -11085, -11084, -11083?\n\"Answer: n - 11088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 149753*o - 127*o**2 - 149753*o - 2 + (3*o - 3*o - o)*(2*o - o - 2*o) as y*o + v + q*o**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*w**4 + 8\/3*w - 8\/3*w**3 + 4\/3*w**2 - 2.\nAnswer: 2*(w - 3)*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -17 - 1) + 4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-588)\/(-63)*18\/(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 2598720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52143791?\nAnswer: 7, 1064159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 2, g: 2, t: 1, l: 1}. Give prob of picking 1 j and 1 s.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2926*j - 150. Let b be a(6). Let t = b + -46446. Round t to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*14\/12*-2. Suppose a - 4*u = 2*a + 10, 5*a + u = r. Suppose -3*b + 40 = -4*i, -5*b + 18 = a*i - 14. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4553\/5 + 31856\/35. What is the nearest to a in 0.044, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q + 25 = -r, -15 = -5*r + 3*q. Solve r = x - 13 + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 - 4*z**2 + 2329*z - 36. What is q(-22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -0.098, -2\/11, 1?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 10*l + 17*l - 5)*(7*l + 2*l - 4*l) + 57 - 6*l**2 - 57.\nAnswer: 14*l**2 - 25*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let m(n) = n**2 - 9*n + 8. Let b be m(8). Suppose -3*p - 3*g + 6 = b, -2*p + 4*g - 3 = -1. Calculate the lowest common multiple of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7674.304l in millilitres?\nAnswer: 7674304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1392 + 3973. What are the prime factors of d?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3843, -3838, -3831, -3822, -3811, -3798?\n\"Answer: s**2 + 2*s - 3846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -22197 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -463a (base 14) in base 2?\nAnswer: -10111110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2311, -2, 28, 0, 2 in descending order.\nAnswer: 2311, 28, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.11564 * 0.5\nAnswer: 0.05782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 9) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6683*-0.02.\nAnswer: 0.033366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-5)\/(50\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 159*c**2 + c + 9. What is j(159)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 + 5*i**2\/2 - 2*i - 32. What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*h + 32, -4*h + 11 = 2*p - 13. Suppose -p*q - 16 = -124. Calculate the common denominator of q*(-2 + 13\/7) and -89\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464555\/92496 + -490\/141. Let s = t - -5\/328. Find the common denominator of s and -7\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/f**(-2\/53))\/f)\/f**(-6) assuming f is positive.\nAnswer: f**(479\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/9 (b) 37 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1)\/((-3)\/(-4)). Let h be 0*(72\/63 + -1). Solve 4*r + 6 + 2 = a, h = -c*r + 3*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uddogouuououuu. Give prob of sequence guou.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 452.9809 centuries to years.\nAnswer: 45298.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27707, -51170, -74633, -98096, -121559?\nAnswer: -145022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 g when three letters picked without replacement from grhgh.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g - 74. Let l(h) = -42*h**2 + 76*h + 24. Let f be l(2). Determine a(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 158400*n**2 + 475221*n - 316818.\nAnswer: -3*(n - 2)*(n - 1)*(n + 52803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and -125\/66834.\nAnswer: 66834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 985106 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528.4132 + -22463316?\nAnswer: -22460787.5868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-30))\/(1\/5). Suppose -24 = -5*f + u. 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: Let d be (-208)\/(-32) + 3\/2. Let c = -5 + d. What is the derivative of 3*j**2 - 5*j**2 + j**c + 2*j**2 + 9 wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -2\/5, -79.7, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:38 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -0.4. Let i = k - 0.43. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -3 + sqrt(117))*6 + 4 + sqrt(13) + -2 + sqrt(26)\/sqrt(8))**2.\nAnswer: -1200*sqrt(13) + 74149\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 180598*t**3 + 8153548188*t**2 - 32617985414*t - 40771353005.\nAnswer: (t - 5)*(t + 1)*(t + 90301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1. Let j(t) = t + 10. Let m(v) = -j(v) - 4*y(v). What is m(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-161525)\/(-225) + 1\/9 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57009 is divided by 9796?\nAnswer: 8029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245322.\nAnswer: 2, 13, 211, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-60)*11\/(11\/4)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 75*q**2 - 3371*q - 5655. Calculate s(107).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 22*t**3 + 20 - 77*t**3 + 26*t**3 - 14*t**2 + 17*t + 4*t**3 + 24*t**3. Give d(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffnffufffnfffn. What is prob of sequence nnfu?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 6925*d + 19. Let s(y) = -9*y. What is g(s(x))?\nAnswer: -324*x**2 - 62325*x + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1962 - -19703\/10. Let u = -7262347 + 4139534849\/570. Let z = -49\/57 - u. Find the common denominator of z and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1\/4896, -0.74, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3242, 6486, 9728, 12968, 16206?\n\"Answer: -z**2 + 3247*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9632 and 182.\nAnswer: 125216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 65, 31, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:27 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 58. Let d = 0 - 3. Let j(k) = k**2 + k + 2. Calculate the lowest common multiple of b and j(d).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 6, -0.23, 1, 4, -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 23658?\nAnswer: 1\/11829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560969 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/5)\/(2\/(-2)). Suppose 3*c + k = 0, -l + 145 = -0*c + 4*c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 5*n - 22, 2*q + 3*n - 15 = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 + g + 14. Let d = 2 - 4. Let w be r(d). Solve 7 + w = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77779?\nAnswer: 13, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from {v: 2, o: 1, m: 2, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -35570\nAnswer: 3\/35570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4906474ml in litres?\nAnswer: 0.0004906474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 0 + 960 + -967 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2442 divided by 1.\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/48)\/((-1)\/(-2)). Find the common denominator of (36*d\/4)\/(-1 + 2) and 5\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*j**4 + 170624*j**3 - j**2 - 1736134*j wrt j.\nAnswer: 3024*j + 1023744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/11 (b) -1.3 (c) 76202 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7cc35b (base 13) to base 8\nAnswer: -13246232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9031*z + 9017*z - 38 - 130 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112037 - -896359\/8. Let d be (4 + -1)\/(20409\/4). Let b = 659707\/312938 + d. Find the common denominator of u and b.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 7 = 26*u. Is u at least as big as -8\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/10 or -2?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1238 + -1226. Which is the second smallest value? (a) -0.06 (b) -2 (c) k (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-38))\/(3\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 155*t - 21. Let a(m) = -12*m - 144*m - 65 + 84. Let s(h) = -4*a(h) - 3*q(h). Differentiate s(z) with respect to z.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62724062, -62724056, -62724040, -62724008, -62723954, -62723872?\nAnswer: -62723756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2637 - 2629. Put -5, -3, d, 4 in descending order.\nAnswer: d, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8821 = 4*k - 3077, 5*k = -2*z + 11894. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7558 + 16869. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2*(-6)\/108).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/3 + 2*n**4 + 7*n**3\/3 - 20*n**2 = 0 for n.\nAnswer: -3, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1839 + 7415\/4. Which is smaller: 16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*i = 256. Suppose i - 214 = -5*s. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:54 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 + c - 5. Let v be h(5). Suppose v = 3*m - 5 - 64. What is the remainder when m is divided by (16\/(-1))\/(-1)*(-4)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 10. Suppose -5*s + 11*s - 12 = 0. Put x, -6, s in ascending order.\nAnswer: -6, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 146312, 292678, 439044, 585410?\n\"Answer: 146366*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:47 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199245798 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -35383\/20 = -1769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 767 - 454. Let d = 313.3 - t. What is the nearest to -0.2 in d, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 0, -9, -0.4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.7 + -11.3. Let i = -58 + 64. Sort w, -3, i in decreasing order.\nAnswer: i, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513526.1 meters in nanometers?\nAnswer: 513526100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 14. Let f be (21\/u)\/(29\/2). Let r = f - -107\/87. Is r greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + 2*p)*(-3 + 0 + 1)*(-2*p + p**2 + 2*p + 63*p**2 - 65*p**2 - 42*p**2 + (3 + 3*p**2 - 3)*(1 - 4 + 1)).\nAnswer: -98*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*a*w**2 + 3*a*w - 1957*a + 38*w**2 - 3414 with respect to a.\nAnswer: -20*w**2 + 3*w - 1957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + 4*sqrt(60))*-6)\/sqrt(12).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65392 is divided by 19977.\nAnswer: 5461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/30)\/(12\/15))\/(180\/48).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -26.9999994. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -14?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x - 44*x = 76791. List the prime factors of x.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n**(-1\/3)*n)*n)*n))\/n)**(16\/5)\/(n**1)**24 assuming n is positive.\nAnswer: n**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*j = -38 + 13, -s = 5*j + 25. Suppose 4*w + 6 + 2 = s. Let c be w + (18\/(-22) - -3). Is 0 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/313020 and 91\/721215.\nAnswer: 106739820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 1. Let o(h) = -7*h**2 - 132*h - 1450. Let x(r) = o(r) - 2*u(r). Factor x(n).\nAnswer: -3*(n + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 90 = -93. Let i = -565 - -569. Solve -i = -a*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + -3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 130*l + 50532. Give m(-299).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i**3 - 11791*i**2 - 206350*i - 26600 = 0. What is i?\nAnswer: -133, -20, -10\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109653 divided by 48?\nAnswer: 36551\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*n**2 - 1017396*d*n - 3*d*y + 1202*n**2*y + 119*n**2 + 3*n*y with respect to d.\nAnswer: 2*n**2 - 1017396*n - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16234357823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16402603 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167562 is divided by 129716.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8 + (-140)\/(-18) + (-681)\/(-27))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42*-3*0)\/((-150)\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -25*t - 176. Let n be v(-6). Calculate the remainder when 41 is divided by (n\/4 + 5)\/((-6)\/100).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*s = -757*s + 49 - 4. Let y(q) = 1 + q - 1. Let f(g) = 2*g**2 - 6*g. Determine s*f(a) - 6*y(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 146, 247, 382, 563, 802?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**3\/6 + 16*b**2 + 7*b. Let p = -44 + 66. What is the least common multiple of p and r(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9568)\/(-230)*(2 - (0 + 1\/(-2))) is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 - 9 = -2*p, -4*i = -8. Let a = 12 - -11. Suppose y = -4*y - p*h + 71, -3*h + a = 2*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10857, -22955, -35053?\n\"Answer: -12098*o + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366\/13 + -28. Which is the closest to 0.1? (a) -3 (b) g (c) 41 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(12*y**5 - y + y) - y + 2*y**5 + y - 2*y**4 + y**5 + 2*y**4 + (-3*y**2 + 3*y**2 + 2*y**2)*(-2*y**2 - y**3 + 2*y**2).\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*i = -269*i - 3500 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 182 = 58 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172300000 rounded to the nearest one million?\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from qqqgqqqqqqqqqqgqqqqq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*m = 0, -u - u - 4*m - 8 = 0. Suppose -5*s + 6 = -u*s. Let p be -3 - s - -10 - 0\/(-1). Sort 1, p, 4 in descending order.\nAnswer: p, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (52\/2105)\/((-18)\/325). Let l = y - -2\/1263. Let i be (1 - 4) + -13 + 14. Sort l, -4\/7, i in decreasing order.\nAnswer: l, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0*v**3 + 0 + v**2 + 1\/12*v**4 + 3*v. Differentiate i(r) wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = -5*b + 3309. Let n = -401 + b. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1242787 to the nearest 1000.\nAnswer: -1243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 32. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 5*a + 0*a + 0*a - 18. Let n be l(-23). Suppose 2*q - 76 = -i + 34, 2*q - 86 = n*i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -5 (b) -0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from zvzvvrvryrrvwrv?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 827 - -1294. Let t = 13 + -8. Suppose 0 = t*o - 6521 + s. Round o to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10020*0.06113\nAnswer: 612.5226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ebbebbbbbbbe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13600 + 271893\/20. Let u = -382\/17 - -4667\/272. What is the common denominator of u and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 15. Let s = d - -20.1. Let h = -1 - s. Which is the nearest to h? (a) 3 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 621529 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35077726\/218145 + -2\/43629. Let j = 9109\/55 - m. What is the common denominator of j and -19\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3320 - 1167. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30356169 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116914 and 220705?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2126 + 2286. What is the remainder when 165 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {j: 1, m: 3, w: 5, z: 2, g: 1, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from {g: 1, l: 3, n: 2, t: 1, d: 4, r: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/2520 + 7*w**6\/720 - w**5\/15 - 5*w**4\/6 - 2*w**3\/3 + 57*w. Let b(f) be the third derivative of u(f). Give b(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 868*z**4\/3 + 4*z**2 + 3*z. Let f be x(-6). Suppose s - f = 6*s. Round s to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*x + 68, 0 = 4*o + 3*x - 26 - 44. Suppose o*m = 6*m + 20. Solve 5*q - n = -19, -2*q + 0 = 2*n - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 358863 = 5*k, 308*k = 3*f + 306*k - 269107. List the prime factors of f.\nAnswer: 109, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -5\/3, 4, -72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/91 - 340\/14. Let n = b - -26. Suppose n*o + 2*f - 258 = 1032, -1907 = -3*o + 4*f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**2 + 421*k + 870. Let a(p) = 4*p**2 + 139*p + 289. Let o(f) = 24*a(f) - 9*r(f). Suppose o(y) = 0. What is y?\nAnswer: -149, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/21 - 31\/(-35). Let u = -360 - -364. What is the closest to -1\/4 in u, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1269*g**3 + 1262*g**2 + 1241*g\/4 - 7\/4 = 0. Calculate g.\nAnswer: -1\/2, 7\/1269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7, 0, -13 in descending order.\nAnswer: 0.5, 0, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113.5 - 144. Let v = -30 - t. Which is the nearest to 5? (a) v (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -61, -90, -121?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 24499*i**4 - 200148618*i**3 - 545937538086*i**2 - 5443577845317*i - 11422697721687.\nAnswer: -(i + 3)*(i + 7)*(i + 8163)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 313, 1242, 2789, 4954, 7737, 11138, 15157?\n\"Answer: 309*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1153699 and 37\/168834.\nAnswer: 6922194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, q: 1}. Give prob of picking 1 n and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**2 - 7*b. Let q = -18 - -25. Let o(c) = 5*c**2 + 4*c. Let y(v) = q*o(v) + 4*r(v). Let f(i) = 5*i. Determine f(y(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/58 + 841044\/(-18647).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 971*b**2 - 41*b**2 + 38*b**2 + 628*b**2 + 805*b**2 to n + z*b + d*b**2 and give d.\nAnswer: 2401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11785*v**4 - 4*v - 1544?\nAnswer: -141420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*d**3 + 1633*d**2 + 126970 wrt d.\nAnswer: 45*d**2 + 3266*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 62774796690.58.\nAnswer: 62774796691.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4 = 5*m - 16, -3*m + r = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-30) - (1020\/18)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (552*t - 2008*t - 4242*t - 1059*t - 197*t)*(-5 + 4 - 1)*(0*t + 2*t - 5*t) as r*t + l*t**2 + a and give l.\nAnswer: -41724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-6) - (-3 + -1). What is the closest to v in -1\/2, -4, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 5) to base 16.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/18739677 and 46\/21?\nAnswer: 131177739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 22701216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -23*c - 3. Let b(v) = v**3 - 9*v**2 + 10*v - 11. Let d be b(8). Suppose -n + 12 = -d*n. What are the prime factors of o(n)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, -4, -1 in descending order.\nAnswer: 0, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*y + d, 3*d + 18 = -62*y + 60*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, u: 2, m: 1, w: 1, k: 2}. What is prob of sequence mw?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110100111111011101101 (base 2) in base 14?\nAnswer: -71b113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 + 5540*w**2\/7 + 22108*w\/7 + 16572\/7.\nAnswer: 4*(w + 1)*(w + 3)*(w + 1381)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195.1 + 195. What is the nearest to p in -2, -8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 2 + (115 - 129)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2 + 49709*o - 696122 = 0.\nAnswer: -49723, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/5)\/((-18)\/(-450)). What is the remainder when 33 is divided by 8\/(4\/x*5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1265*q**3 - q. Let v be a(-1). Let t = 2311 - v. Is t + (-12)\/9*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -452 + 269. Let i = t - -211.4. Let x = i - 28.4117. What is x rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 13*p + 17. Suppose -6*t - 39 = -9*t. Suppose -2*k + 7 = -t. Calculate the remainder when b(-10) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 5, 31\/4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let h be j\/2 + 27\/6. Solve -5*y = -5*i - 15, -h = -5*y - 0*i - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11808.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 6*y + 1. Let u(l) = -3*l**2 - 5*l + 1. Let x(w) = -5*u(w) + 4*v(w). Let t(c) = 2 - 6 - 3 + 5. Give t(a) - 2*x(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/2058*(-7)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5059.932252 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1524799, 6099202, 13723207, 24396814?\nAnswer: 38120023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 381 - 1b85?\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 973 = -5*y + 28, -2*q - 3*y - 629 = 0. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4. Let b be (a - 4)*5\/(25\/(-4)). Suppose -b*y - 27 = -187. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/5*(-9 + -11) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-364)\/140*((-37)\/(-13) - 3). What is the nearest to -62 in 3, n, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 1 - 1 - 21*t.\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 + 2*b. Let k(d) = d**2 - 15*d + 4. Let l(x) = -x**2 + 11*x - 3. Let p(q) = 3*k(q) + 4*l(q). Determine -2*i(h) - 4*p(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-329)\/(-21) + (-6)\/9. Suppose -2*r = -0*r - 150. What is the greatest common divisor of r and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -10462904.\nAnswer: -9\/5231452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 14*h + 24. Let a be j(11). Suppose -5*u + a = -5*i - 63, -3*u = -4*i - 104. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 - 15 = 0. Is (o - (-8)\/(-4))*(-826)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30831885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(176)*-1).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 4*d + d)*(-5 - 2*d + 5)*(0 + 3 - 1) - 5*d**2 + 0*d**2 - 14*d**2 to y*d + i*d**2 + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*j**3 + 4)*(-6*j - 3 + 3) - 3*j**4 - j**4 + j**4.\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at most -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xisssxixssxsxsxis?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-1))\/(-6) - 40\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c0157 (base 13) in base 10?\nAnswer: 714266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - 22 - -43 - -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -317417*i**3 - 4443823*i**2 - 15553223*i + 735.\nAnswer: -(i + 7)**2*(317417*i - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y - 2*d + 12 = 0, 3*y - 3*d - 9 = 0. Let z(v) = 40*v**2 - 16*v + 4. What is the tens digit of z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 11) + -5 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -225\/4 - -57. Let w = -50 + 54. What is the third biggest value in w, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.3 + -6. Suppose 2*u + 15 = 5*u. Let q = 6 + -6.1. What is the nearest to q in u, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 14*s**2 - 17*s + 12. Let z be h(-13). Suppose 3*i - 177 = -3*l, -3*l + z = -2*l + 2*i. Calculate the highest common divisor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 2*h**2 - 3*h**2)*(-55*h + 24*h - 47*h).\nAnswer: -234*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q + 60. Let a be t(3). Suppose 0 = -a*c - 17 - 37. Sort c, 2, 0, 4.\nAnswer: c, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**4\/2 + 21241*s**3\/6 + 14364*s**2 + 36718*s\/3 + 2824 = 0. Calculate s.\nAnswer: -1412, -3, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*p - 5*a, 3*a - 7 = -p + 3. Let x(k) = -p - 3 - 5 + 2*k + 0. Calculate the lowest common multiple of 10 and x(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -4, -1\/6, -7\/2, 2\/11 in descending order.\nAnswer: 2\/11, -1\/6, -7\/2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(29152209*u**4 + 75*u**5 + 8*u - 8*u + 5*u**2 - 29152192*u**4).\nAnswer: -75*u**5 - 17*u**4 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(p\/(p**(-2)\/p)*p)\/p*p**(-4))**(-1\/26)*(p\/p**4)\/p*p*p\/(p**(-1\/8)\/p*p)*(p**1)**(-2\/51) assuming p is positive.\nAnswer: p**(-10765\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740ab1 (base 12) in base 10?\nAnswer: -4812325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5302 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 k when four letters picked without replacement from {u: 8, c: 5, g: 2, k: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 + 668*r**4.\nAnswer: -4*r**4*(r - 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7 = -3*d, 5*w - 2*d = -4 - 8. Suppose -30 = -0*o + 5*o. Let f be o\/(-4)*w\/3. Which is greater: f or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10298654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1199 or 38385\/32?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 + -443. Let h = 52 + z. Solve 2*t - 23 = 5*p - 4, 4*t + h = -5*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)\/(j**(-2\/7)*j))**12)**(1\/7) assuming j is positive.\nAnswer: j**(-564\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d - 73. Is t(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 30 = 2*c. Let u be ((-4)\/18)\/(c\/9). Let d = -0.5 - 0. What is the closest to u in 4, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-25932)\/439069135411)*97. Let q = 6569444080 + m. Let p = q - 3\/2161. Find the common denominator of p and -20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + 6477\/12. Is (-1)\/(-1 - m\/(-542)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Is (w\/4)\/((-18)\/(-2592)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 59?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9281 + -1?\nAnswer: 9280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 678*u - 687*u + 12816000. Round u to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198730 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 3*j - 2*j)*(0 - 1 - 1)*(-22 + 22 - 34) + (-2 + 6 - 3)*(-j - 3*j + 6*j) + 3*j - 3*j + j to the form m*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 64 = -j + 2*j, -5*j = d - 23. Suppose 0 = 18*w - d - 39. Solve 0*k + w*k = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 9c?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71739, 144203, 216667, 289131, 361595, 434059?\nAnswer: 506523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b**2 - 25*b**3 + 93*b**2 - 32*b**2 + 27*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001378 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/84 - w**6\/20 + 3*w**5\/40 - w**4\/24 - 10*w. Let k(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) 2 (c) 0.3 (d) -15 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13522 is divided by 1682.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxw when three letters picked without replacement from sswwaxsasww?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -11) + -6 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0 + 0)*(-3*o + o - 2*o + (3 - 6 + 1)*(2*o + 0*o - o) - 4*o + 2*o + 5*o + (-1 + 1 - 2*o)*(1 - 2 + 2) - 2*o - 1 + 1 + 2*o - 4*o - 3*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.73799 + -5.\nAnswer: 20.73799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 1a?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 49, 2.6, 18\/5, -21\/8?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6769.000004211 + 6769. Round n to seven decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - q + 1 = 0, 0 = -a + 5*q - 5 - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13841.\nAnswer: 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 17640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5099 - 50?\nAnswer: -5119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-5\/7) assuming l is positive.\nAnswer: l**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j + 30. Let t be y(-8). Let f = 152 - t. Is 32\/3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357 (base 13) to base 8.\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -475 in 0.17, -0.1, -2\/5, -0.07, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**3*x*y**2 + p**3*x - 3107*p**2*y**2 + p*x - 2*p*y**2 + 3155*x*y wrt y.\nAnswer: 16*p**3*x - 6214*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8919 and 33?\nAnswer: 98109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 - 1. Suppose r*b + 16 = 37. Suppose 2*d = -b + 105. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1103147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1104, 348, -1770, -5952, -12900, -23316, -37902, -57360?\n\"Answer: -117*b**3 + 21*b**2 + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*r - 33*r + 89*r)*(-28 + r - r**2 + 28) + 5*r**3 - 6*r**3 - 2*r**3.\nAnswer: -87*r**3 + 84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 12*x**2 - 10. Give g(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x + 165. Let a = x + 88. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 3*k**3 + 6*k**3 + 0*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 + 5*k - 1. Let b = 0 - 4. Let r be p(b). Let x(a) = a**3 + 4*a**2 - 6*a + 6. List the prime factors of x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 0 + 1*sqrt(242) - sqrt(242) - (sqrt(8) + 0 + 0)) + 2*sqrt(2)*-1*4 + 5*(sqrt(2) + -1 + 0))**2.\nAnswer: -60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10.09656 decades?\nAnswer: 1211.5872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59204 divided by -94\nAnswer: 29602\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2621462886 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39433, -60268, -95001, -143638, -206185, -282648?\n\"Answer: -r**3 - 6943*r**2 + r - 32490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -179086 divided by -1186?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(10\/15) + (-8 - -1). Let b = 11785\/18 - 651. Find the common denominator of (105\/24 + t)\/((-21)\/194) and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12942?\nAnswer: 64710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, 47\/3, -0.5, -1\/4, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(-1*10\/25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 + 362*l**3 - 6817*l**2 - 7908*l + 14364 = 0.\nAnswer: -2, 1, 21, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23915, -191245, -645413, -1529837, -2987935, -5163125, -8198825?\nAnswer: -12238453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*s*w**2 + i**2*s + 17*i**2*w + 6*i*s*w**2 - 2*i*w wrt w?\nAnswer: 2*i**2*s + 12*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, 19, -5, 52, 0, 2 in increasing order.\nAnswer: -5, 0, 2, 5, 13, 19, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22257140 divided by -4451428\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34316 and 460?\nAnswer: 171580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 1, x: 1, s: 1, w: 1, k: 5}. Give prob of sequence khs.\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 48. Let l be (1 + -5 + 1)*z\/(-3). Let u be 1*(l\/(-1) - 2) + 78. What is the highest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q + 36. Calculate m(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + h)*(-906 - 499 + 281)*(-h + h + 3*h**3) as s + g*h**2 + f*h + m*h**4 + c*h**3 and give m.\nAnswer: -3372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + b - 2*b - 6*b + 0*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32687478 is divided by 85.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-3))\/((-28)\/(-12))*245\/(-70). Let n be 2\/(-4) - (-15)\/6. Factor v**4 - 4*v**2 + 2*v**4 + 141*v - k*v**4 - n*v**3 - 139*v + 3.\nAnswer: (v - 3)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58 and -4253928?\nAnswer: 4253870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/64 (c) 1.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89010.57ns to seconds.\nAnswer: 0.00008901057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4573 - 4567 + i + 9150 - 4*i**3 to t*i**2 + h*i**3 + k*i + b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {p: 1, c: 1, y: 1, j: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:05 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 + 7*j**4\/12 + j**3\/3 - 5*j**2\/2 + 391*j - 3. Determine o(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097617754?\nAnswer: 2, 3, 5309, 65851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2086*f + 2497 + 1304*f - 204*f - 754*f wrt f.\nAnswer: 2432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 30080823.\nAnswer: -4\/30080823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15260 (base 8) to base 15\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1175 + 1763. Let i = 362708 - 362689. What is the remainder when a is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(324))\/sqrt(2) - sqrt(72)*1)**2 - (-2*sqrt(8) + sqrt(8) + -6*sqrt(2)*2 + -3)**2.\nAnswer: -84*sqrt(2) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1204 divided by 2\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -731.7?\nAnswer: 512.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1762709116 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 14 (c) 0 (d) -2 (e) 57.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 6*n + 5. Let x(l) = -3*l**2 + 11*l - 9. Let b = 336 - 333. Calculate b*x(v) + 5*r(v).\nAnswer: v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(7090 - 70))\/((45\/(-6))\/(-1 - -13))?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -188\/168317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111111110010 - -1001100011111?\nAnswer: 10100001100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095921 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -22*r - 12. Suppose 5*n - n - 16 = 0. Suppose -5 = n*q - 3*q. Is 20 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + 496\/40. What is the remainder when 28 is divided by 186\/d - (-2)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1))\/((k\/(k*k**(-10)))\/k))\/(k**(1\/10))**(-15\/4) assuming k is positive.\nAnswer: k**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21199\/255 + 2\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5 + 8*x - 19*x + 8*x. What is z(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21490 + 21492 + 3*t + 6*t**2 + 2*t in the form j*t**2 + c*t + p and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 3*d - 9*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/16675 and -127\/315400.\nAnswer: 210371800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1203298, -2406603, -3609912, -4813225, -6016542?\n\"Answer: -2*k**2 - 1203299*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435982.\nAnswer: 2, 17, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.224882 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -1\/2, -0.4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(-2*h + 5*h + 0*h)*(-h**3 + 4*h**3 + 0*h**3).\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230903927 is divided by 76967974.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 17*w**2 + 6*w. Let b(j) = -9*j**3 + 35*j**2 - 13*j. Let p(y) = -12*y**3 - y**2 - 2*y. Let g be p(-1). What is g*i(c) + 6*b(c)?\nAnswer: -2*c**3 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1872)*-1 + 4)*3 - (5 + (sqrt(1872) - (0 + sqrt(1872))) - ((-1 + sqrt(1872) + 0 - sqrt(1872) - sqrt(1872)) + sqrt(1872))))**2.\nAnswer: -864*sqrt(13) + 33768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-14421)\/33)*-18?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 134, 3, -3, 13, -202 in decreasing order.\nAnswer: 134, 24, 13, 3, -1, -3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124134 and 408.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-55)\/(-35))*(-8683)\/(-457)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Let b(k) be the third derivative of k**5\/30 + 8*k**3\/3 - 561*k**2. Calculate l(b(y)).\nAnswer: -12*y**4 - 192*y**2 - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.7 - 49.7. What is the third smallest value in 46, -4, w?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73147, -146512, -219877, -293242?\n\"Answer: -73365*o + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/11)\/(y\/(y**6*y))*(y*y**(-9)*y)\/y**(-7)*((y*y**5)**(-5\/13))**(8\/9) assuming y is positive.\nAnswer: y**(1733\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - l**3 + 0*l - l**3 - 14*l**2 - l**3. Let p(z) = z**3 + 7*z**2 + 2*z. Let n(x) = 5*p(x) + 2*y(x). Find the third derivative of n(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of ((-599)\/(-4))\/((-6)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/(-6)*((-77)\/(-55) + -2). Sort f, 0, 219.\nAnswer: 0, f, 219","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 2 + 1)*-1. Let c(k) = k**3 + 6*k**2 - 1. Suppose 6*d - 2*d + 24 = 0. Let f(b) = b**3 + 7*b**2 - 1. Calculate d*c(z) + o*f(z).\nAnswer: -z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccchhccchc. Give prob of picking 2 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7. Suppose 0 = -2*f - 3*g + 6, 4*f + y*g = g + 26. Suppose -30 = -t + 5*r, r = 3*t + f*r - 30. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = 3*h + 3, -h = z - 1. Suppose 4*r + 2*d - 12 = 40, -z*r + 5*d = -26. Let q = r - 9. Solve -w - l - 3 = -q*l, 0 = -w + 3*l - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 - 21\/18. Suppose 0 = -5*p + 15. Let n = p - 2. What is the smallest value in n, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {n: 1, f: 1, t: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -55*q + 117. Sort q, -7, -20, -3.\nAnswer: -20, -7, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/255 and -32\/6477.\nAnswer: 32385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2806 - -155. Let w = -1172 - p. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950, 3255, 4558, 5859, 7158?\nAnswer: 8455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*o**3*t - 105*n*o**3 + n*o**2 - 10*n*t - 17*o**3 - 1118*o**2*t wrt o.\nAnswer: 12*n*t - 630*n - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -344*r + 353. Let y be v(1). Let a(k) be the second derivative of -5*k + 11\/6*k**3 + 0 - y*k**2. Find the first derivative of a(d) wrt d.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234781.562538 + 174?\nAnswer: 234955.562538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -1 (c) 8 (d) 1\/2 (e) -0.01 (f) 0.021 (g) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {p: 2, b: 1, f: 1, h: 5, z: 4, a: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/24 - o**3\/3 + 3*o**2. Let s be m(-5). Solve -l + 16 = -s*w, -2*l - 2*w = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1352742 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6250763798?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 163682.1 centuries in months?\nAnswer: 196418520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raajdaarjjdjuaja. Give prob of sequence aj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1854 + 4077. Suppose 16*v - x = 3*v. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/4)*(d*d**2)\/d assuming d is positive.\nAnswer: d**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 16*r - 11*r. Calculate the lowest common multiple of 1\/r - (9 - 16) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*s - 20992 = -140*s + 1873*s - 275*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -684.4 + 683.3606. What is n rounded to two dps?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from issssiisiiissi?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3080191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 7, b: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11645 and 54797945.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-5)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from mmmmmmmmmsmmsmsmmsm?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 79.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1329 divided by -1\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 79. Let n be 2\/(-3) - 32\/(-12). Suppose 188 = 4*k - 3*s, 0 = n*k + 3*s + 2*s - t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 74682?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -28, -42, -38, -10, 48, 142?\n\"Answer: i**3 - 33*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 66*-0.3\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 4*y - 2. Let n be w(5). Let g be (-1)\/n*-4*3. Let q = 0.28 - -0.02. Which is the smallest value? (a) 0.05 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 5*f**4\/4 - f**3\/2 + 13*f**2 + 129*f. What are the prime factors of w(-10)?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -183757*n**3 + 616336?\nAnswer: -551271*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, -5, -30, -2\/55, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*1 - (-7 + 14 + -24). Solve 3*p = -25*g + s*g + 22, g = 4*p - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.039, -2\/5, -3.5, 4?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u + 51. Let b(z) = -z + 1. Let m(q) = q - 14. Let o(r) = 4*b(r) + m(r). Calculate -21*o(g) - 4*t(g).\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 + (1 - 0)*3. Let w(j) = -j**2 - 13*j - 7. Calculate the remainder when 68 is divided by w(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/93 - 293\/651. What is the second smallest value in f, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18190040 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by -135?\nAnswer: 46\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1020123323 (base 4) to base 8\nAnswer: -1103373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7816669, 7816660, 7816651, 7816642?\nAnswer: 7816633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -58. Let h be (-1)\/(-28) + (-2)\/(-8). What is the closest to h in 0.1, l, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1766076958 to the nearest one million.\nAnswer: -1766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-6)\/(-27))*42\/378. Is -1\/490 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 = 41*g + 881 + 443 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*c*i**2*u**2 + 5*c*i**2*u - c*i**2 - 43813*c*i*u**2 - 15*c*i*u - 4*c - 1504*i**2 - i*u + 7*u**2 wrt u.\nAnswer: 126*c*i**2 - 87626*c*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3162*c**2 - 2 - 3158*c**2 + 2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*x**2 - 35*x**2 - 43*x**2 - 20 wrt x.\nAnswer: -98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 2. Let k(u) = 17*u + 55. Let z(q) = -2*b(q) - k(q). Differentiate z(x) wrt x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((228\/(-12))\/6479)\/(-7*64\/1232)?\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3852872 by -963218.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7474 to 1 dp.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1*6)\/2. Solve 0*a = r*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5434\/171 + 8\/36 - -23?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. Let o = 811 - 549. Suppose -4*m - 4*g = -348, -10*g + 8*g + o = 3*m. What is the highest common divisor of r and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481174?\nAnswer: 2, 571, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1118646528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-112)\/(-154))\/4. What is the nearest to -1\/4 in -1\/3, n, -25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -13554?\nAnswer: 13558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15218510508 + 15218510142.99998516. Let l = -365 - m. Round l to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/35*(1 + -6). Suppose -3*g + 0 = -4*m + 3, 0 = -j*m - 2*g - 2. Solve 0 = -4*q - s + 5, 3*s - 1 = -5*q - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -500.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -a + 9*o + 14, 0 = -5*a + 4*o + 52. What is the lowest common multiple of 6 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**2 - 2*b - 1. Calculate z(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4254\/148663?\nAnswer: 4254\/148663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -19. Let n(s) = -s + 0*s**x - 4*s**3 + 3*s**3 + 3 + 5*s. Suppose 5*v - v = -8. Calculate n(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30773 - -30773. Suppose 0 = 2*f - n + 4*n, 0 = 5*f + 3*n - 18. Let m be (-15)\/f*8\/(-10). Put m, 23, k in increasing order.\nAnswer: k, m, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 + 2*y - 2. What are the prime factors of z(6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let i(y) = -2608488*y. Determine i(v(b)).\nAnswer: 5216976*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1674*g*y**3 + 2*g*y**2 + 3*g*y + 72*y**5 + 3*y**2 + 2*y - 58 wrt y.\nAnswer: -10044*g + 4320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4407.00007153 + 4407. What is k rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 10*u - 7. Let v(t) = -t**2 + 3*t - 2. Let g(m) = -2*c(m) + 7*v(m). Let f be -3 + (-60)\/(-6) + -8. Give g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 8) to base 6.\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 406.659 - 436.16. Let o = p - -28.4. Round o to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2033.92 and -13528025.\nAnswer: -13530058.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/4))**(-36)\/(s\/s**(-18)*s*s**(-5\/4)))**(-25) assuming s is positive.\nAnswer: s**(4575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7715280 and 15500.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert e80e (base 16) to base 5.\nAnswer: 3400111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-67760)\/(-7072)) + 60\/(-1050)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5600)*2)\/sqrt(8) - (-1*(1 + sqrt(7)) + (sqrt(252)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1131, -4\/7 in decreasing order.\nAnswer: -4\/7, -5, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 114 - 146 = 0. What is the remainder when 21 is divided by (j\/(-4))\/(3\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiij when four letters picked without replacement from {i: 4, m: 6, j: 7}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q*q\/(q\/(q**(-1\/12)\/q)))\/(q**(1\/4))**(1\/18))\/((q\/q**(-2\/5))**9*q**(-6)\/q**(2\/7)) assuming q is positive.\nAnswer: q**(-6077\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 4*w - 1. Let u be f(5). Let v(k) = -k + 30. Let p be v(0). Suppose -r = u*r - p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:46 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/19, -2\/3, 9, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 665*a**3*d*o + 7497*a**3*d + 3*a**2*d*o + 3*a**2 + a*d - a - 66*d*o - d + 159*o wrt a?\nAnswer: 3990*d*o + 44982*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 0.458?\nAnswer: -19.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z - 40. Let m = 64 - 50. Let h be s(m). Solve v - 4*k = -h - 11, 0 = 3*v - 4*k + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ffppfppppppffppfpp?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -33, -2, -6, -5 in ascending order.\nAnswer: -33, -6, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1905318, 6, -6?\nAnswer: 1905318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7381.044ml to litres.\nAnswer: 7.381044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 4*c - 28, 25*w = 30*w - c - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12710 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1966, -3912, -5832, -7720, -9570, -11376, -13132, -14832?\n\"Answer: v**3 + 7*v**2 - 1974*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517521601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -271*z**4\/6 - 443*z**3\/6 + z**2 - 864*z. Differentiate x(p) wrt p.\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2322*m + 2409 wrt m.\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*c = -18, -18*i + 4*c = -19*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 513 = 73*s - 163*s + 35*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 + -4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 617521.1kg?\nAnswer: 617.5211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 8 = 9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.1 + 20.03. Which is the third biggest value? (a) 0 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.061 and 7.1.\nAnswer: -0.4331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + (-9 + 5 - -8) + (0 - -3). Let y = 1 - 1. What is the nearest to p in -1, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(-29 + 29 - 24*h)*(-2*h + 0*h + 0*h)*(13*h**2 - 9 + 9) in the form f*h**2 + m*h**3 + w*h + c*h**4 + s and give c.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = 5. Suppose g*a = 4*h - 168, -4*a - 3 - 211 = -5*h. Are h and 46 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100418597 rounded to the nearest one hundred thousand?\nAnswer: -100400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4*(-6)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j - 4*j)*(-2 + 1 + 2) + (-108929*j - 112024*j + 195985*j)*(2 + 3 - 1).\nAnswer: -99870*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - 3*b**2 + 6*b - 3*b + 0*b**2 + 0*b**4 in the form m*b**4 + n*b**3 + j*b + x*b**2 + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)\/r*r**10*r)\/(r**(-3\/5)\/r*r**(-9)) assuming r is positive.\nAnswer: r**(1329\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.661207 nanoseconds to hours.\nAnswer: 0.0000000000015725575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 1*sqrt(171)*-1)*1)\/(sqrt(225)*-5 + 5*sqrt(27)\/sqrt(3))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 169*j**5\/6 + 47801*j**4\/6 + 550587*j**3 - 5438363*j**2\/3 + 1614613*j\/6 - 20449\/2 = 0.\nAnswer: -143, 1\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 2*c**3 + 0*c**3)*(4 - 1 - 4).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61026 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10110 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16 and 11\/104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/6))\/y*y\/y**(1\/4)*y)\/(y**(-2\/7))**(3\/4))**(2\/35) assuming y is positive.\nAnswer: y**(151\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - 124\/(-9). Suppose -3*o + o = j - 5, 2*o = -4*j + l. Suppose g + 9 = -2*g, -20 = -c + 5*g. Sort c, -2, j in increasing order.\nAnswer: -2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1040431401?\nAnswer: -1040431410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1306 + 85*c**4 - 1308 - c**2 + c**2 wrt c?\nAnswer: 340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, o: 3}. Give prob of picking 2 q and 1 o.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 91\/4 of a millisecond?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 - 157. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.045 - -0.545. Put -5, q, -1, -1\/8 in ascending order.\nAnswer: -5, -1, -1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1037, 2, -4, 1 in ascending order.\nAnswer: -4, 1, 2, 1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6*49\/98?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-134)\/56883*(-4 + (0 - -1)). Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 80 - 48)*(-5 - 2*h**3 + 5)*(-9 + 4 - 25).\nAnswer: -3420*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1976 and -81\/40144.\nAnswer: 762736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*c - 14 - 2, 6 = -3*c. Let f be n\/(-8) + (-86)\/(-8). Suppose -f = -p - 9. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43082134?\nAnswer: 2, 37, 293, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938, 3753, 8454, 15041, 23514, 33873?\nAnswer: 46118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379 and 2723.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 - 60*a**3 - 110*a + 5.\nAnswer: -60*a**2 - 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350806488*i**2 - 663586814*i.\nAnswer: 701612976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 32126851\nAnswer: 5\/32126851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 78434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/195 in 5\/3, -1, 2\/3, -5, 2.98, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3178.96 weeks?\nAnswer: 1922635008000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1065)\/(-213))\/(5\/23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*i + 11, 2*k = 4*i - 9 + 3. Let y(l) = 2*l**3 - l**2 - 3*l + 1. What is y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 11*a - 7. Let y be q(-12). Solve 16 = -z + y*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*y + 7, -u - 12*y + 17*y - 23 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4 = 2*l + 5, -3*i + 9 = -4*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 794\/1197 - -4\/1197. Let w = -56.77 + 57. Let n = 0.07 + w. Which is the closest to d? (a) -3\/8 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*k - 188*k + 59*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527*i**3 - 492*i**3 - 500*i**3 - 497*i**3.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -440*i + 1938 - 1938 to p*i + f and give p.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -923097 (base 12) in base 15?\nAnswer: -302624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2 - 82. Suppose -7 - g = -4*r. Suppose a + 288*s = 283*s + 3, 2*s + 15 = 5*a. Solve -a*w + 6*w + 3 = 2*b, -2*b = w - r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1669, -1463, -1545, -1915?\n\"Answer: -144*d**2 + 638*d - 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 6\/5*q**2 - 4\/5*q + 0 + 4\/5*q**3 - 6\/5*q**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-20)\/(-16)*6. Let d = j + 6. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*l - 77*l - 59*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7. Let y(t) = t. Let w(k) = 4*k - 1. Calculate s*w(x) - 5*y(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -20212211?\nAnswer: -20212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211121 (base 3) in base 13?\nAnswer: c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91272466111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-1 + -8 - ((-9 - -34) + -33))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14319*g**2 + 28621*g**2 - 14300*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 34. What is the units digit of v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3195202, 6390414, 9585638, 12780874, 15976122, 19171382?\nAnswer: 22366654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -637639 (base 13) in base 10?\nAnswer: -2329882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4196005\nAnswer: 1\/4196005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21311 (base 5) in base 16?\nAnswer: -5b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166366737 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 2*t, -2*t = g + 3*t + 5. Let w = -1 + 6. Let m(v) = v**2 - 12 - 2 - w + 4. Determine m(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1665 or -1785?\nAnswer: -1665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42) + (-378)\/49.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476940 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 10*b + 1. Let g(d) = 4*d + 1. Let c be g(2). Calculate the least common multiple of p(c) and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.67457140812 + 0.1.\nAnswer: 33.77457140812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56488 = -13*q - 56696 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11985792*l**3 + 3288096*l**2 + 16542*l + 21.\nAnswer: 3*(26*l + 7)*(392*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.02 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47551.622384 - 2\nAnswer: -47553.622384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 1101100100001101?\nAnswer: -1101100100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272652706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 75, 206, 389, 624, 911?\n\"Answer: 26*d**2 + d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 374342637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**11)\/(y*(y\/y**(-4\/3))\/y)*(((y*(y\/y**(2\/9))\/y)\/y)\/y)**(-21\/5))**(-3\/4) assuming y is positive.\nAnswer: y**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350660 and 170435.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 18. Suppose -2*z = -3*z + 3*w - 15, 0 = 2*z - 5*w + 25. Suppose -2*f + 5 - 3 = z. Solve -p - f = 2*s + 4, -3*p = -s - x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 20*w + 24*w = 32, -w = -7. What is the smallest value in 0.85, i, 9?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 15*n + 26. Let a be q(-8). What is the highest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272143013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 181046.61 months?\nAnswer: 1508.72175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 7*t**2 + 5*t + 2. Let k be b(6). Let h be ((-2)\/4)\/((-2)\/k). What are the prime factors of 3\/(1 - h\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 2*s)*(-5*s**2 - s**2 + 5*s**2) + 0*s**3 - 3*s**3 + 0*s**3 + (s**3 + 2*s**2 - 2*s**2)*(3 - 3 - 20) + 2 - 2 - 4*s**3 - 2*s**3 + s**2 - s**2.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -256 - -256. Suppose a*v + 225 = v. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2 - 0\/(-3)) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.232121g to tonnes.\nAnswer: 0.000009232121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 - 16312*k - 16565568 = 0 for k.\nAnswer: -2166, -1912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {q: 7, m: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12973*j + 194549. Give b(-15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000364 rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) 1\/4 (b) -2\/7 (c) 4583 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b + 10. Let g(k) = k - 1. Let o(w) = 6*g(w) + h(w). Let m be o(2). Let j = 0.16 + 0.04. What is the nearest to m in -5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8750 and 434306.\nAnswer: 425556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 1, h: 2, o: 2, d: 1}. What is prob of sequence od?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 61 + 12 = 15*c. Let o(m) be the third derivative of m**5\/60 + 11*m**4\/24 - 3*m**3\/2 + 4*m**2. Determine o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15370*n + 6060 = 15572*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543141 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.08 (b) -6\/31 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 4. Let l(h) = 6*h + 1. Let m(x) = x + 1. Let b(k) = -l(k) + 4*m(k). Let v = 35 - 31. Calculate v*q(g) - 5*b(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9260159*f**3 - 8317674.\nAnswer: -27780477*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*((-342)\/30 + 5). Let u = -89 + 137. What is the greatest common factor of u and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus 472796460?\nAnswer: 472796474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 - (9 + 1). Let k be (-8)\/(-20) - (-64)\/j. Let n be (-5)\/3 - 4\/k. Put 5, n, -3 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -212*c + 335. Give g(3).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p*p)**(-6)\/(p**(-2\/7))**0)\/(p**(-3)*p*p\/p**(3\/5)*p*p**(5\/2)*p*p*p**7) assuming p is positive.\nAnswer: p**(-249\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 11 = j, -5*j - 3 = -2*j + 3*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0081389771 rounded to 6 decimal places?\nAnswer: 0.008139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120011302 (base 4) to base 7.\nAnswer: -560452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouutbtobthbthbp. What is prob of picking 1 h, 1 o, and 2 t?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 + -259633779?\nAnswer: -259627685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1288, -2175, -3054, -3925, -4788, -5643?\nAnswer: -6490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6304563, 12609116, 18913669, 25218222, 31522775?\n\"Answer: 6304553*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35*34\/52360*33)\/(6\/272*1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 40, 67, 110, 175?\n\"Answer: t**3 - t**2 + 13*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 35*r = 0. Let m(s) be the third derivative of 2*s**2 + r*s**3 - 1\/24*s**4 + 0 + 0*s. Let f(d) = -4*d**2. Give m(f(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*x + 39, 10*o - 13*o = -5*x + 47 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - -2. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 2:55 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 542884 - 2714416\/5. Factor 12*b + 0 - z*b**2.\nAnswer: -4*b*(b - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Suppose y*i + 0*i = 10. Solve i*a + 18 + 7 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/10 + 5*r**3 - 4*r**2. Find the first derivative of s(m) wrt m.\nAnswer: 84*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -60, -3, 3 in ascending order.\nAnswer: -60, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11812*l**2*p**2 - 42652*l**2 + 3*l*p**4 with respect to p.\nAnswer: 23624*l**2*p + 12*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44827, -179384, -403647, -717616, -1121291?\n\"Answer: -44853*l**2 + 2*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 66*c**4\/5 - 662*c**3\/5 - 202*c**2\/5 + 1836*c\/5 + 1312\/5 = 0.\nAnswer: -41, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 2)*(-2)\/(-4). Let i be -1 + 0\/p + 188. Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 120, 104, 84, 60, 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(3\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -1*sqrt(88))\/sqrt(8)*-5)**2*-2 + (sqrt(88)\/(sqrt(32)\/sqrt(4)) - (4*sqrt(396) + sqrt(11))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 2*h - 7 - 2*h**2 + 5*h**2 - h**2. Let t be d(-3). Let i(q) = -q**3 - 4*q**2 - 5. Give i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*j**5 + 17*j**2 - 7*j wrt j?\nAnswer: -7320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.851 * 40.18\nAnswer: -34.19318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -73, -81, -73, -43?\n\"Answer: i**3 - i**2 - 22*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1899 - -1898.999998402. What is j rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 7*g**3\/3 - 1. Let y(s) = s + 36356 - 36356. Calculate y(o(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9372960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = -2*q, 0 = -2*b - 4*q - q + 13. Let n be (1 + 2)*(-2)\/b. Sort n, -3, 1 in descending order.\nAnswer: 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432))**2 + sqrt(3) + (sqrt(3) + 2 + -5)**2 + 3.\nAnswer: -5*sqrt(3) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d. Let r(n) = -4*n - 5*n + 9*n - 2*n**2. Determine z(r(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + 4 - (11 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:45 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.777 + 0.277. What is the closest to 2 in p, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 22*u**2 - 71*u - 5. Let n(d) = 23*d**2 - 99*d - 6. What is 3*n(w) - 4*z(w)?\nAnswer: -19*w**2 - 13*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - 196*d + 569. What is a(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 2\/7, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2)*(7*c + 3 - 4*c + 13*c) in the form n + z*c and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23925 divided by 1.\nAnswer: -23925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h**2 - 49*h + 205. Calculate the remainder when 434 is divided by z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2140932 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*f - 81*f - 10*f**3 - 2*f**4)*(-5 + 5 + f)*(10 - 8 + 12 + (3 - 4 - 1)*(4 - 4 + 1)).\nAnswer: -24*f**5 - 120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, m: 12}. What is prob of sequence mmf?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 15\/(-162)*3*(-56)\/70\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -0.056\nAnswer: 1.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 12041280.\nAnswer: 12041280.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*u + 14, 3*u = 5*n - 19 - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 178 = -w, 5*w + 190 = 5*j. Sort -5, j, 0 in decreasing order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28911 - -1309.47889. Let h = k + -1283. Let b = 27 - h. What is b rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 1. Let l(y) = -21*y - 29. Let r(z) = 5*i(z) - l(z). What is the derivative of r(h) wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -111 + 112 + ((-2)\/(-12) - 39\/18). Let t = -139226354 - -2568030100444\/18445. Let j = t + 4\/527. Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 8. Let s be i(8). Let v = -2 - s. Let a = 14 - v. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 18145*p + 36270.\nAnswer: 5*(p - 3627)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 3*n - 4. Let r be h(4). Let z(t) = 0 + t + r*t + 0. Let s(u) = -8 + 8 - 2*u**2. Give s(z(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2 - j**2 + 112*j**4 - 89*j**4 - 23 with respect to j.\nAnswer: 92*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 24. Let k = 190 + -46. What is the highest common factor of r and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 50.3. Let v = b + 5.66. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/(6\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209086796 is divided by 277?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190\/7 + 943\/35. Which is the closest to 1? (a) -4 (b) 4 (c) h (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2 - 5*k + 5*k - 4*k + 7*k**2. Let f = 43 + -29. What is the remainder when r(-2) is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 41545092*z + 143832889107372 = 0 for z.\nAnswer: -6924182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 3 (c) 5\/12 (d) -805\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -215*v + 27. Let q be o(-4). Let l = q - -84. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, h: 6}. Give prob of picking 3 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**3 - 1020*n**2 - 1025*n = 0?\nAnswer: -1, 0, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50192869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50d29 - 3?\nAnswer: -50d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1619701*a + 1326737*a + 292963*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192392558?\nAnswer: 2, 96196279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 6*j**2 - 274*j + 103. What is the remainder when y(20) is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v - 6. Let y be c(4). Let i(h) = 232*h**2 + 2268*h + 2270. Let j be i(-1). What is the highest common divisor of y and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(6\/5)*v)\/v*v*v**(-3\/7))**(-38))**(3\/50))**(13\/2) assuming v is positive.\nAnswer: v**(-22971\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46827, -93655, -140483?\n\"Answer: -46828*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u - r - 3, r - 1 = -4*u. Let x(n) = -15*n - 3. Let p be x(u). Suppose 0*i + 3*a + 14 = 4*i, 0 = 5*a - 10. Solve p = i*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 + (-8 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(114)*2 + sqrt(114)))\/(sqrt(726) - (sqrt(726) + sqrt(726) + (sqrt(726) - (sqrt(726) - (sqrt(726) + sqrt(726)*1))))))**2*-1.\nAnswer: -76\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/2595720 and 125\/9312.\nAnswer: 10382880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 86. Solve 3 = -3*v - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198649, 198650, 198651, 198652, 198653, 198654?\nAnswer: 198655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 57 = y, 24 = -3*o + 5*y + 227. Calculate the remainder when o is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-20) + (-15)\/4. Sort h, -1, 1, 4.\nAnswer: h, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -639*l**2 + 319*l**2 + 321*l**2. Let t(f) = -3*f**2 + f. What is z(t(q))?\nAnswer: 9*q**4 - 6*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -r - h, -2*h = -2. Let y = 136 - 107. Suppose 5*v = 2*m - y - 52, 4*m - 107 = -v. Solve -5*l - m = 4*i, -r*l - 6 = 3*i - 4*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m - 54 = 3*t + 55*m, 4*t - 4*m = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19662650000 rounded to the nearest 1000000?\nAnswer: 19663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 6 + 6 + (0*b + b + 0*b)*(-3 - 2 + 6) + (224*b + 258 - 258)*(5 + 0 - 3) to the form f*b + k and give f.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y - 2. Let l be 2\/((-12)\/18)*-1. Give s(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 114 = -65*b. Let f(i) = 11*i**3 - 6*i**2 - 6*i. Let y(x) = 155*x**3 - 85*x**2 - 85*x. Give b*y(z) + 85*f(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 23 - 7 = 0. Solve d + 4*b - 20 = -5, -t*b + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1063 + -532. Suppose -u = -4*b + 89. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/80 - z**4\/24 + 2*z**2. Let h(s) be the second derivative of d(s). Let o(u) = 14*u. What is 8*h(t) + 5*o(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-1*1 - sqrt(63))\/(sqrt(18)\/(sqrt(4)\/sqrt(2))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*s + 2*d, 3*d = 5*s - d - 36. Let i be (40\/25)\/(s\/10). Solve -5*o + f - 10 = -i*f, 0 = 3*o - 4*f + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60304000 to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0808 * 12.4.\nAnswer: -1.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-141349)\/(-8515))\/(((-1)\/(-15))\/(-1)))?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*t + 176 + 208 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -39*l + 15 + 13*l**2 - 1\/3*l**3. Calculate the least common multiple of 7 and t(24).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 28) + 6 + 4 + (-3 - 1) + 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(12)\/(sqrt(12)\/sqrt(2)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.63241361 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264158800 divided by -94.\nAnswer: 2810200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6667455 (base 8) to base 15\nAnswer: -257ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 588 = -17*y. Let d = y - 90. What is the least common multiple of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622, -620, -608, -580, -530, -452, -340?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*v = 10, 0 = 3*v - 8*v + 15. Solve 20 = 15*j - w*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -7*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782119*t = 2*x + 782118*t + 77, x - 2*t = -37 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6116 - -6118. Solve -3*t = -h*t - 5*p - 21, -4*p = 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g + 1. Let y be z(-3). Let t be (-4 + 3)\/((-3)\/(-6)). Let o = 3 + t. Which is the second biggest value? (a) o (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82457700216 take away -0.6272?\nAnswer: -82457700215.3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 6*s + s**2)*(0 + 1 - 2) + 48*s + 8*s**2 - 48*s - 2*s**2 + 2*s**2 + 2*s**2 + (-s + 6*s - 4*s)*(5*s - 4*s + s) - 2*s**2 + 4*s**2 - s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57836 or -0.5?\nAnswer: -57836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:48 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 8. Suppose 3*t + k - 69 = -2*k, 3*k = -5*t + 115. Let f = -19 + t. Suppose j = -4*p + 29, 28 = -p + f*p + 2*j. Calculate v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144 - 133358\/917 - 200\/7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2906, 699, -1, -5.5, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 1 - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.86 - -23. What is the closest to -0.1 in -2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 4*m + 14, 40 = -5*k - 2*m. Let y be -3 + (-3)\/k + 2. Put 0.2, y, -4 in decreasing order.\nAnswer: 0.2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.105 + 3.555. Let r = p + 4.8. Round r to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-1) + 1\/12. Let t be -1*(-11)\/(-110)*10. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 10. Let r = 34 - 34. Sort v, -3, r.\nAnswer: -3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(475) + (sqrt(76) - (sqrt(76)*1)**2) + (sqrt(19) - (1 + sqrt(1539))**2).\nAnswer: -1619 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89694, 179398, 269102, 358806, 448510, 538214?\n\"Answer: 89704*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and 2?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -12. Sort 1, r, 2 in decreasing order.\nAnswer: r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*j - 135*j + 30*j - 489*j - 111*j to the form i + p*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -118680713 - 2\nAnswer: -118680715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 4. Suppose 6*p - n = 5*b + p, 2*p - 8 = -2*b. Solve -3*t - t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -12, -32, -68, -126, -212?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 115 - 47 = -4*r, 0 = 4*j + 20. Suppose -5*v + 12 + r = 0. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**31*((k*k**6)\/k)\/k**(-7\/3))**(-8) assuming k is positive.\nAnswer: k**(-1688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 104, 155, 204, 251?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -7 + 0*x - 1\/4*x**4 - 1\/5*x**5 + 1\/6*x**6 + 1\/3*x**3 + 0*x**2. What is s in p(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/w*w)**(-3\/13)*w**6\/w*w**(-3) assuming w is positive.\nAnswer: w**(101\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2666976, 5333952, 8000928, 10667904?\nAnswer: 13334880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -7, -5, -1\/20, 5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 + 3*g - 2. Let b be s(-3). Let f(o) = -7*o + 2. What is the lowest common multiple of f(b) and (-18)\/1*(-2)\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(3) + 1*sqrt(3)))\/(2*sqrt(6)*6) + ((sqrt(180) + (sqrt(180) + (2*sqrt(180) - sqrt(180)) - sqrt(180)) + sqrt(180))\/sqrt(4)*3)**2)*5*2.\nAnswer: 5*sqrt(5)\/12 + 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15570 divided by 3.\nAnswer: 5190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5801 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 + 7*f + 6. Let u be z(6). Let c = -45 + u. Solve 0 = -5*q + 4*a - 22, 0 = -3*q - 0*q - c*a + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -7*c - 7*c. Let p(d) = -8*d**2 - 9*d + 8. Let g(s) = -14*s + 690. Let u be g(49). Let o(r) = 3*r**2 + 3*r - 3. What is c*o(n) + u*p(n)?\nAnswer: n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(972)*-2).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - r = 84, 0 = 3*r + 3 + 9. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -3.4714?\nAnswer: 3.4714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 2)*(1 + 1 + 3)*(1 - 1 + 3)*(-p + p - 2*p) to the form i*p + a and give i.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 580532*t**3 - 24*t**2 - 225*t + 1 wrt t?\nAnswer: 3483192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/923076 or 0?\nAnswer: -1\/923076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3512629\/8 - -436047. Let k = h - -3027. Find the common denominator of (50\/(-105))\/(8\/69) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*y**2 + 917*y**2 - y + 967*y**2 - 2912*y**2 + y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 - 12528 = 3*t. Let u = -8634 + t. Round u to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30818, -31110, -31402, -31694, -31986, -32278?\nAnswer: -32570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 7*q - 1. Let y be x(7). What is the units digit of -1 - -4 - y - (-1 - 236)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3)*-1 - sqrt(1575)*1.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632*o = 3301*o + 31443 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -802711 or -21673204\/27?\nAnswer: -21673204\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - (5 - -2))\/5. Suppose 2*g + 16*g - 4392 = x. What is the smallest common multiple of g and 12?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*12\/420)\/(19\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-100)\/15. Let b(w) = -w**2 - 6*w + 5. Let n be b(g). Does 21 divide ((-315)\/(-25))\/(1\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**3 + 8*x**2 + 9*x + 8. Let c(b) = 5*b**3 - 3*b**2 - 3*b - 3. Suppose -4*k + 3*z - 27 = 4*z, 0 = -4*z + 20. Give k*c(d) - 3*a(d).\nAnswer: 2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356236 = -t + 1524631. Suppose -t = -2*g - 40867. Round g to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204391763?\nAnswer: 204391763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = l + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.5 + -66.5. Suppose y + 25 = -5*u + 6, 0 = -5*u + 2*y - 7. What is the third biggest value in -1\/15, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 6*f**2 + f + 3. Let c be x(6). Solve 13*n = c*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by ((-12)\/(-10))\/((-99)\/(-1320)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 27 = -6*o, 4*i - 9*o + 45 = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 3*x + 4. Let q be w(3). Solve -q*c + 15 = -j, 5*c - 15 = -0*c + 5*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 2)*(-5*f**4 + 3*f**4 + 5*f**4).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**2 + 14*c**2 + 0*c - 45*c in the form d*c**2 + v*c + o and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 - 29*i**2 - 4*i + 28. Let n(r) = -5*r**3 + 29*r**2 + 5*r - 29. Let d(g) = -3*n(g) - 4*z(g). Let u be d(29). Solve -2 = -u*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + -0.14. Let a be (1 + 102\/(-14) - -3) + 3. What is the nearest to a in -0.1, u, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p + 1. Suppose -2 = 2*o, 2*f - 23 = 3*o - 0. Suppose 0*g - f = -5*g. Sort g, -1, p.\nAnswer: p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3057 (base 12) to base 3.\nAnswer: 21012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 150*n + 1767.\nAnswer: 3*(n - 31)*(n - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 1}. Give prob of sequence uuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 22 = 2. Let f = -12 + 8. Put 3, h, f in descending order.\nAnswer: h, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 6453?\nAnswer: 6453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 190*f**3 + 24*f**2 + 330*f + 12. Let d(w) = 2*w**2 + 1. Let i(z) = c(z) - 12*d(z). What is the second derivative of i(h) wrt h?\nAnswer: 1140*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32979 is divided by 5495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13344 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-4760)\/(-12))\/(-35))\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 3*u - 11. Let f(m) = -5*m**2 - 2*m + 11. Let i(l) = 3*f(l) + 4*n(l). Let r be i(-8). Solve 3*k + r*v - 26 = 0, 5*k - 28 = k - 5*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184576480 and 9950?\nAnswer: 922882400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5\/12*h**3 - 1\/12*h**4 - 1\/5*h**5 + 0 - 2*h - 1\/4*h**2. What is f in l(f) = 0?\nAnswer: -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/11? (a) 1 (b) 4 (c) 0.4 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:25 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -b + 6*b + 21, 5*z - 10*z - 3 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 314 = -3491. Let b = 773 - s. Solve 0 = -5*o + 7 - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 2, a: 2, i: 1, g: 1, s: 1}. What is prob of picking 1 g and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l. Let f = -9 - -8. Let a = 490.7 - 493.4. What is the nearest to l in f, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 m when three letters picked without replacement from {m: 17, b: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 5626 = -874. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791335034 to the power of 1\/4, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 657 - 655. Solve w*f - 3*f = 2*t - 6, 2*t = 4*f - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*a - 163*a - 51 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = -5*x, 0 = 1826*x - 1821*x - 30. Sort -4, -42, s, 5, -3 in increasing order.\nAnswer: -42, -4, -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*g**2 + 238068*g + 343170690.\nAnswer: -190*g + 238068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.118 - 0.09540418.\nAnswer: 6.02259582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 5*t**3 - 3*t**3)*(0 + 5 + 51) - 134*t**2 - 6*t**3 + 134*t**2.\nAnswer: -62*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.029 - 21.029. Let p = -11 - t. Let n = 9.92 - p. What is the second biggest value in 4, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334494.\nAnswer: 2, 3, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 269?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from yapycyypc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -787*o - 14033. Calculate the remainder when h(-18) is divided by ((-1)\/2)\/(2\/(-180)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3922 + 3859 - -17*3) + 19*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489917 divided by -45149?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.73 times -108.08\nAnswer: -186.9784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7616 and 544.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 8*b**2 + 7*b + 10. Let x be l(7). Let d = -9 + 19. Calculate the greatest common factor of x and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -222, -415, -606, -795, -982, -1167?\n\"Answer: m**2 - 196*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11944 - 11942. Factor 8\/3 + 10\/3*c**3 + 32\/3*c + 34\/3*c**t.\nAnswer: 2*(c + 1)*(c + 2)*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - (-30 + 41) - 78?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(50)*-3 + sqrt(50) + -2 + sqrt(3200).\nAnswer: -2 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*q + 2*c + 19, -15 = 5*q - 3*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 16 = -2*z + 2*f, 255045*z + 2*f = 255046*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7390.\nAnswer: 2, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16540 divided by 34?\nAnswer: -8270\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -470, -787, -1172, -1637, -2194, -2855?\nAnswer: -3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibizipszizib. Give prob of picking 2 b, 1 i, and 1 z.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 271 and 0.06112264?\nAnswer: 270.93887736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606524.3 rounded to the nearest ten thousand?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -13. Let w be (-1)\/(-1) + (4 - -2). Let t = -2 + w. What is the remainder when p is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 1\/6*x**3 + 0 + 13\/2*x**2 + 31*x. Let o be u(-9). What is the highest common divisor of 16 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5887070.7 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231074.56 * -1.8.\nAnswer: -415934.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 431810.9ug?\nAnswer: 0.4318109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzddzdzzzdddz. What is prob of picking 3 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1\/5*x**4 + 3\/5 - 2\/5*x**2 - 4\/5*x**3 + 4\/5*x = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 + 2*d - 3. Let x(v) = -2*v - 7*v**2 - 6*v + 2 + 7*v + 2*v**2. Calculate -3*n(b) - 4*x(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = 4*h - 5*h + 3*r, -3*h + 571 = r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) - sqrt(121)*2*-3) + sqrt(121)))\/sqrt(11) + -2)**2.\nAnswer: 28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i*i\/(i*i**1))\/((i*i*i**(2\/11)*i)\/i**2))\/(((i*i\/(i\/(i**(-2)*i)))\/i**(-5))\/(i*i*i**4*i**0)) assuming i is positive.\nAnswer: i**(-57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -1)*-10*(-4)\/80. Is 1\/288 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let r(h) = 28*h. What is i(p) + r(p)?\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = 22. Let p be s\/(-7)*112\/32. Calculate the highest common divisor of p and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5929 and -71\/5082.\nAnswer: 35574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2219*v - 2216*v + 13 = 0, -4*v - 12 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9128542 minutes in hours?\nAnswer: 0.04854757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 78. Let v be (-50)\/n*(-6)\/(-35). Which is the third smallest value? (a) v (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose -3*f + l = 10. Let q = f + 3. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5601*n - 5. Let j be o(5). Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/844481? (a) 2 (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-4)\/8*-2). Let d be q - 6 - (5 - 7). What is the second smallest value in d, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*((-18)\/(-1))\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:17 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = h, 2*g - 1 = 4*h - h. Let n be 0\/h - (-2 + 3). Sort 2, n, -3 in increasing order.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81 - -63) + -144 + (0 - -1 - 52)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 52 - 20 + 15*l + 6*l**2 - 50*l + 27*l + 2*l**3. Let h be v(-6). Solve 0 = -h*x + 12*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.098, 0.01, 0.5, -10\/11, -7, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -4, 16, 39, 2.\nAnswer: -166, -4, 2, 16, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l**2 - 45*l - 85. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -10. Suppose 2*x - v = 3*w, -w + 4*w - 4*x + 23 = 0. Suppose -6*k + 20 = -k - i, 5*k = -5*i - 10. Put k, w, -5 in decreasing order.\nAnswer: k, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose 0 = -3*p + 15, 3*p - 26 = 2*c - p. What is the remainder when c - 0 - (-3 + -17) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 4*m - 4. Let d(g) = 11*g**3 + 9*g + 9. Let b(z) = 2*z**3 + 36*z**2 - z - 9. Let f be b(-18). Determine f*w(c) + 4*d(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -50, -82, -114, -146?\n\"Answer: -32*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -0*m. Solve 0 = -m*r + a, -6 = r - 2*a + 3*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 102*y - 115. Determine b(103).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790807 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 3. Let s(d) = 2*d - 6. Let i be s(r). Determine j, given that 3*j**3 + 3*j**3 - 2*j - 3*j + 3*j - 4*j**i = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m. Suppose m = -0*k + 2*k - 2. Let t(y) = 0 + 7*y + 2 - k. Calculate t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70416 and 369684.\nAnswer: 1478736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/((-10)\/(-32))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221582.1 - -221582. Let t = -12.1 - -13. Let n = -0.1 - t. Which is the biggest value? (a) o (b) n (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-14)\/6. Let b(a) = -a**2 - 2*a - 3. Let q be b(y). Let x(s) = s + 14. Calculate the remainder when 23 is divided by x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 50. Let q be ((-198)\/(-8))\/(c\/80). Suppose -y + 8 + q = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576871849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52596 and 70848?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**4 - 3 - 2*t**2 + 7 + 2*t**3 - t**4 + 2*t in the form c*t**4 + v + k*t**3 + s*t + q*t**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12936330 and 779724?\nAnswer: 284599260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1140)\/(-399) + 1 + (-39)\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + (3 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*h + 8. Suppose 4*k + 0*k + 4*o = 64, h*k = 2*o + 64. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 - 28 = 0. Suppose -3*y + 6 = -x, 4*x - 7 - 11 = -2*y. Suppose x*r = -4*r + 35. Solve -2*z - 6 = 2*z - r*j, -q = 3*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 25) + -29 - (-2 + 13)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**21\/d*d))\/d)**(3\/4) assuming d is positive.\nAnswer: d**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1104937, -1107203, -1109455, -1111687, -1113893, -1116067?\n\"Answer: h**3 + h**2 - 2276*h - 1102663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 222357898 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-4) - -127 - -1. Suppose 45 - l = -5*r. Calculate the remainder when 38 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5812 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -3601*b**8\/336 + 2785*b**4\/24 - 3347*b**2 + 2*b. Find the second derivative of i(p) wrt p.\nAnswer: -72020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4 + 4 + (-3*d + 3*d + 2*d)*(2*d - 3*d + 3*d) - d + d**2 + d)*(-12*d**2 + 39*d**2 + 34*d**2).\nAnswer: 366*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:13 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223535432 (base 6) in base 9?\nAnswer: 7643332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18792? (a) 2\/7 (b) -150 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.11 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*m. Let a = m - -2. Suppose -74*p - 39 + 200 = -209. Calculate the highest common factor of a and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 5\/((-10)\/4) + (70 - 8)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + ((-4*(0 + sqrt(162)) - (sqrt(162) - (sqrt(162) + -1)*-2))**2 - (3*(sqrt(162)*1)**2 + -3)) + -2).\nAnswer: -1260*sqrt(2) + 37285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -724 divided by 1\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -185328423 and -0.3.\nAnswer: -185328423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/2 - 37*v**3 + 296675*v**2\/2 + 296784*v + 148410 = 0.\nAnswer: -582, -1, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 44 = 4*z, 59*z - 37*z = 17*z + 8*w + 82 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682992 divided by 630.\nAnswer: -37944\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 2 j when four letters picked without replacement from {j: 3, f: 2, i: 5, k: 1, v: 6, d: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 3*v**3 + v**3 + 2 - 3*v**3 - 3*v**2. Let x be q(4). Let g(s) be the second derivative of s**4\/12 + s**3\/6 - s**2\/2 + 2*s. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -36\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 2:32 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -15. Solve -g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b4138c + 18?\nAnswer: b413a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + (sqrt(704) - -2*sqrt(704)))\/sqrt(4))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340570 divided by 5?\nAnswer: -268114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4267045 (base 9) to base 16.\nAnswer: -22eaf4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -313, -4, 3, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 a when three letters picked without replacement from hallapplatagllg?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61690270 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-127)\/(-25) + ((-182)\/325)\/7. Let g(a) = 4. Let y = -12 - -15. Suppose -4*h = -y*h + 2. Let z(q) = q + 9. Calculate h*z(b) + s*g(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 133. Let l be j*(-21)\/70*(-4)\/6. Factor 4\/5 - l*u**2 - 2\/5*u.\nAnswer: -2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*j + 658*j - 215*j - 232*j + 245*j**3.\nAnswer: 245*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 - -3.2. Let d = -0.09 + 0.01. Let y = d - 4.92. Which is the second smallest value? (a) y (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-164)\/3*18\/(-6). Suppose -x - 16 = -3*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rawg when four letters picked without replacement from {w: 3, a: 3, r: 4, g: 6, x: 4}.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2 - 423*o - 7. Let k(q) = -5*q**2 + 141*q + 2. What is 7*k(h) + 2*l(h)?\nAnswer: -h**2 + 141*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q + 1. Let s(a) = -8*a**3 - 2*a**2 + a + 5. Determine s(t) - 6*v(t).\nAnswer: -2*t**3 - 2*t**2 + 7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 5, e: 9}. What is prob of sequence qq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 138372 divided by -78\nAnswer: -1774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 4. Let g be r(-4). Let p(l) = l**3 + 3. Let w be p(g). Suppose -w*o - 17 + 7 = -2*v, o - v + 3 = 0. Sort -2, -1, o in descending order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 7}. Give prob of picking 2 k and 1 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**5 + 1937*v**3 + 127*v + 44.\nAnswer: -200*v**3 + 11622*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9*1 + 77\/33. Let o be y\/15*(-25)\/(-20). Let i = -7\/4 + o. Which is the nearest to 1? (a) i (b) -14 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k + 3. Let a(c) = -3*c + 2. What is -8*a(u) + 5*r(u)?\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50.27043 and 4.\nAnswer: -201.08172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 313, 308, 303?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/5 - 54*j\/5 = 0 for j.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213138.\nAnswer: 2, 606569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-161486795)\/(-34500) - 8\/300. Factor -m - 237\/2*o - 3\/4*o**2.\nAnswer: -3*(o + 79)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80519, 80495, 80471, 80447, 80423, 80399?\nAnswer: 80375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 332182 and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*j + 277 = 59, -3*m - j = -176. Calculate the remainder when m is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.1 (c) 10761\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9208087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 + 32*g**2 - 18*g + 149. Let i be a(8). Suppose -3*k + k - 11 = -5*x, 12 = 4*x. Which is bigger: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1273 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035 is divided by 335.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290853423 and 8694?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 572, 753, 934, 1115?\n\"Answer: 181*q + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/8)\/(2\/(-4)). Suppose -4*t - 2*d - d = -99, 4*t + 2*d = 98. Suppose 21*l = t*l. Solve l*n = o*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-10) - 3\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188.9 + -30.9. Let g = x - 158.3. Suppose -m = 3*y - 2*m + 3, 9 = -2*y + 3*m. Which is the smallest value? (a) g (b) y (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-60)*-21)\/(6\/24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 893202*m**3 + 2325150 wrt m?\nAnswer: 2679606*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010349 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + 11.74. What is the nearest to -1 in -2\/11, g, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102356, 204727, 307100, 409475, 511852, 614231, 716612?\n\"Answer: t**2 + 102368*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.72 (c) -0.5 (d) -2 (e) -2\/9 (f) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075*-5.\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*m = -6*m - 188687, -s + 2*m + 62895 = 0. Is s 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 mmmmmommmmmmmmmmml. Give prob of sequence lolm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 10. Let h(x) = x + x + 2 - x. What is 22*h(m) - 4*t(m)?\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(1482\/(-304)) + (-102)\/13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 10) to base 16\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - a = 128, -2*a = -a. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 859, 888, 937, 1006, 1095, 1204, 1333?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2110650*b**3*i**3 - 3*b**3*i**2 - 349984*b**3*i wrt i?\nAnswer: 12663900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 574907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*m**2 + 3\/2*m**3 - 225\/2*m - 57.\nAnswer: 3*(m - 38)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41218357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 779352 and 2184.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/3 - 3*v. Let o(i) = i**3 - 5*i**2 - i + 4. Let s be o(5). Calculate k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/2 (c) 13\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*g - 3061*g + 20923 = -127*g - 15449 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 22 - 2 = 0. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(7\/(-70)). Let k be (-17)\/i - 13\/52. Solve -18 + 6 = k*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23393*m - 4761 + 23394*m - 46791*m.\nAnswer: -4*m - 4761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155 and 9663258.\nAnswer: 48316290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601 <= 398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93817 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 3*f**4 - 3*f**4 + 1979*f**2 - 4*f**4 + 6*f**4 - 2089*f**2 wrt f?\nAnswer: 240*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h + 2*h - 3 + 14 + 3. Let l be z(-9). Let f = 104 + l. List the prime factors of f.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 535148112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422007275?\nAnswer: 5, 29, 83, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 - 3*m - 3. Let s = -32 - -30. Let j be t(s). Suppose 30 = 6*l - j*l. What is the smallest common multiple of 1 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 0*n + 2 - n**3 - 3 + 5 + n. Let i be 2\/(-10) + (-4)\/(-20). Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*f - 3*d, 9*f - 8*d = -6*d + 165. Solve f*x = 29*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1005 - 998. Suppose -s*y - 9*y = -1024. Calculate the remainder when y is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suwbq. What is prob of picking 1 u, 1 w, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1902786756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6412677 rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/25 + 13*u**4\/60 + 13*u**3\/30 - 2*u**2\/5 + 4*u + 18. Find o, given that g(o) = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 340 = 76. Suppose n = v + b, 3*v - b - 90 = -2*v. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q + 4. Let i(m) be the third derivative of -25*m**4\/6 - 15*m**3\/2 + 2*m**2. Let w(t) = -45*f(t) - 4*i(t). What is the units digit of w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2497455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4*k + 32. Suppose 3*y - 30 = -3*d, 845*y - 849*y - 2 = -3*d. Calculate b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.46 - -0.04. Let n = z - 3.5. Let o = -143\/5 - -29. What is the nearest to 1\/3 in o, 1\/5, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948.8 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 5. Let c be h(-7). Let q be (c\/(-9))\/(2\/(-2)). Suppose 0 - 2\/9*l**2 + 0*l - 2\/9*l**3 + 2\/9*l**5 + q*l**4 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 + 3*c - 4*c**3 - 2*c + 1 as l + h*c**2 + t*c**3 + o*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlllmlmllzmllllmu. What is prob of picking 2 m and 1 u?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 16. Solve -z + 4 = -y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -m - 479*n + 481*n, 5*n = -10*m - 1180 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188034144 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -93.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + -5 + 37 + 1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23900 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-18)\/(-7))\/(-1 - -3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 414, 1043, 1956, 3153, 4634, 6399?\nAnswer: 8448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1209\/7 + 173. Put -4, -0.1, q in descending order.\nAnswer: q, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 75 = 4*o + 15 + 34, -4*w = 5*o - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 + 1. Let h = -60 - -58. Let r be -1*(h + 3\/1). What is the smallest common multiple of y(r) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 11, -2, 0.739, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110*b + 180 + 39*b - 5*b**2 + 37*b - 11*b.\nAnswer: -5*(b - 3)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 8. Let p be d(4). Put -3, p, 5 in increasing order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 140 = -16*i. Factor 35*s**2 + 42*s**4 - 126*s**4 - 2*s - 8*s + 49*s**4 + i*s**3.\nAnswer: -5*s*(s - 1)*(s + 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 17. Let h be 2 - 2 - (12 - 2). Let y be k(h). Let f(a) = 2*a. Let w(x) = -2*x + 1. Calculate y*w(t) + 4*f(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Find the second derivative of 5*w**5 - 25*w**m + 25*w**2 - 3*w wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11607.298 rounded to the nearest 10?\nAnswer: -11610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -16446.4 to the nearest 10.\nAnswer: -16450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -79 * -27161\nAnswer: 2145719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyym when four letters picked without replacement from mmmyymmmmmmmymmymmym.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:09 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/((q\/(q\/((q*q\/(q**1\/q*q))\/q)))\/q*q*q))*q*q)\/(q*q**(-1\/8))*(q*q*q**(-1\/2))**32)\/(q*q**5*q*q*q**1*(q**1)**(-9\/2)) assuming q is positive.\nAnswer: q**(373\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7563, 0, 13 in decreasing order.\nAnswer: 13, 0, -7563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 253057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 772\/143?\nAnswer: 772\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (1 - (-3 + 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*a + 3. Let v(p) = p**3 - 5*p**2 - 4. Let b(h) = 2*h**3 - 9*h**2 - 7. Let z be (12\/8 + -3)*-2. Determine a*v(r) + z*b(r).\nAnswer: r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 30144*t**2 - 2708595*t - 20436192.\nAnswer: 3*(t - 96)*(t + 7)*(t + 10137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 9. Let i(z) = -56*z - 10. Let s(j) = -5*j - 1. Let v = -35 + 29. Let d(a) = v*i(a) + 68*s(a). Let b(h) = 6*d(h) - 5*t(h). What is b(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 710090438 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17433 and 109713617.\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 12) to base 10\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4608843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/7 (b) -33024714 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 212*t + 1312. Let u be j(-6). Put u, -2, -5, 60 in ascending order.\nAnswer: -5, -2, u, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -345 - -2 - (-3)\/(-3). What is the common denominator of -2 + -1 - r\/(-16) and 45\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 2. Let h be f(-4). Suppose -h*k + 4*c = c - 185, 3*k - 5*c - 280 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:31 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 14. What is the smallest value in 2, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 74300 = 3*a, -5*q + 56463 = -2*a - 17862. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/7, 1, -1\/2, -0.0298, -2\/23?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-90)*5\/((-15)\/(-12))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-7))**36)**(7\/5))**(-9\/8) assuming t is positive.\nAnswer: t**(3969\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 10130?\nAnswer: -10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20913 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6725.32um?\nAnswer: 6.72532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*k - 13*k + 1794 - 579 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 x, and 1 u when four letters picked without replacement from {w: 3, d: 2, x: 1, u: 1, l: 2, k: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-15)\/1))\/((9\/(-75))\/((-158704)\/7280))?\nAnswer: -109\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let s(b) be the second derivative of 14*b**3\/3 - 2*b**2 - 71*b + 1. Determine s(m(j)).\nAnswer: 28*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 244 - 226. Solve -1\/2*m**2 - 1\/6*m**b - 1\/6 - 1\/2*m = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/6 - 7*d**2\/2 - 27*d. Let t(r) = -2*r. Give l(t(b)).\nAnswer: 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -11. Let u be 8\/36 + 68\/a. Suppose -u*f - 1 = -5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21837.188 rounded to the nearest ten?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3\/5 - 15734*u**2\/5 - 23594*u\/5 - 7864\/5 = 0.\nAnswer: -3932, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)\/j)\/j)\/j**3)**7*((j**(-2)*j)\/((j\/(j*j**(2\/27)))\/j))**(7\/6) assuming j is positive.\nAnswer: j**(-3962\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -172 (c) 247 (d) -3 (e) 0 (f) -134 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2602541528 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 242493*n - 29 + 554 - 242565*n - 91. Give z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11)\/(r**(-15)*r))\/(r*r\/(r\/r**(-9)*r)*r*r*r*r*r*(r\/r**(2\/39))\/r))**36 assuming r is positive.\nAnswer: r**(3300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 29. Let t = -16.00000156 - c. What is t rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232054 (base 7) in base 11?\nAnswer: -a966a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7929, 15869, 23847, 31869, 39941, 48069?\nAnswer: 56259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1 - sqrt(130))*-6)\/((sqrt(50) + (sqrt(50) - sqrt(150)\/sqrt(3)) + sqrt(50))\/sqrt(5)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 2010?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 2 - 3 - 2*v**2)*(1 - 1 - 2*v) - 53*v + 5*v**2 + 53*v + 8*v**3 to the form r*v**3 + g*v**2 + x + d*v and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5853*z + 6. Suppose 17*u - 10*u - 161 = 0. Let k = u + -21. Let d be j(k). What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2514180 is divided by 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369384337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 22 = 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:01 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -193, 543, -0.02, 2\/9, 0, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 113, -7, 34?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 11*q + 2. Let c be f(6). Solve -5*h + 2*h = 3*n + 12, 2*h = 5*n - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -22. Let m = -43 - n. Solve -4*s - 3 = -m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 27*w**5\/10 + 19*w**4\/4 + 59*w + 28. Let x(v) be the first derivative of u(v). What is the third derivative of x(g) wrt g?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91\/372 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7589, 7531, 7473?\nAnswer: 7415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Factor -4*b**2 + 2 + 5*b**u + 2*b**4 - 5*b**2.\nAnswer: 2*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 4*o**2 + o + 2. Let n be g(2). Let m = -38 - -41. Let j(s) = 4*s**2 + 2*s - 1. Let q be j(1). Put m, n, q in descending order.\nAnswer: q, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2068283638 from -245.6.\nAnswer: -2068283883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*l + 649 - 83*l - 333 - 321 to the form a + d*l and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + 2. Let z be q(-4). Suppose z = g - 3. Calculate the smallest common multiple of (-1)\/2 + (-18)\/(-4) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 301 - 698. Let o = m + 600. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-108))\/((16\/12)\/(-4)))\/(8\/72)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-14))\/(1034\/2961))\/(3\/(-33)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + (sqrt(1100)*-3)**2*2 + sqrt(1100) + 4 + (sqrt(11) + sqrt(11)*1 + 1 + 2*sqrt(11) + -1 + 5)**2.\nAnswer: 60*sqrt(11) + 20005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20508, -20500, -20492, -20484?\n\"Answer: 8*n - 20516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 46 + 0*r**2 - 49 + 98. Let p(w) = 3*w**2 - 2. What is 3*p(g) + 2*z(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-i**3 - 2*i**3 + 2*i**3) - 5*i**3 - 5*i**3 + 0*i**3 - i - i + 2*i**3 + 0*i**3 to the form d*i**2 + g*i**3 + k*i + a and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let n be 5 + 7 + (-6 - 1). Suppose j + 37 = n*o - 0*j, 4*o + 3*j - 41 = 0. Calculate the highest common factor of z and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14\/b*b)**(-3)*b**(2\/93)\/b*(b\/(b*(b*b**32*b)\/b))\/b assuming b is positive.\nAnswer: b**(-7159\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -6)\/(-15)*2. What is the fourth biggest value in 1, 0.4, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullvllulvuu. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315 + -315342?\nAnswer: -315657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 166*i**3 + 198*i**3.\nAnswer: 364*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21996 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*k + 995170 = 83*k - 47*k. Calculate the highest common divisor of k and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, k: 2, m: 1}. Give prob of sequence lg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 17. Let n(c) = 4*c**2 + 3*c - 1. Let h be n(q). Suppose -181 = -4*o - h. 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 g be 4\/(-16)*1 + (-493)\/(-4). Let y = g - 614\/5. What is the closest to -1 in y, -0.08, -5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887206291.\nAnswer: 3, 320800699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1198*g - 561962. Calculate q(469).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137425\/12 + 11462. Find the common denominator of 40 - 0 - 1\/2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.061 times -6.99?\nAnswer: 7.41639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720)*1)\/sqrt(12) + (sqrt(2940)*2 - sqrt(2940)))\/(-6*(sqrt(768)*2 + sqrt(768))))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - 0. Let r = -115.41 - y. What is r rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) - (-2)\/((-120)\/52).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(832)*3).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(3\/7)*d)\/d)*d*d*(d**(-1\/18)*d)\/d)**13)**(-18) assuming d is positive.\nAnswer: d**(-4121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from llvvvvlllvvlsv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -11.8. Let h = x + 1. Let q be 1*(1\/3)\/((-17)\/51). Which is the nearest to -1? (a) 5 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h**4 + h**3 - 5*h**2 + 17*h - 9. Let u(y) = -3*y**4 - y**2 + 4*y - 2. Let n(v) = -4*b(v) + 18*u(v). Factor n(q).\nAnswer: -2*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987548829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, -2\/11, 2, 23645 in decreasing order.\nAnswer: 23645, 2, 1, -2\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 10*c. Determine w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 - 8*b**2 - 4*b**2 + 4*b**2.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2407, 14, 7596?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from zhkgzzkzhzhzh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - (94 + -6)) + -6 + 2 + -2 + 21.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.210073 meters to kilometers.\nAnswer: 0.003210073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -5*b + 45, 5*a - 40*b + 92*b - 20 = 53*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = g + 3*o - 311, 3*o - 613 = -2*g. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 169 = -16*q - 9*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/2 - 485*p**4\/2 - 8714*p**3 - 7504*p**2 + 34864*p + 33896 = 0.\nAnswer: -446, -38, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 340009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-2 - -8) + (32 - -21).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 140 = 4*t. Suppose 22 = v - 4*n, -9*n = 415*v - 413*v + 7. Calculate the greatest common factor of t and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 16*l**5\/5 + 14*l**4 - 156*l**3 + 405*l**2 - 432*l + 642. Suppose z(w) = 0. What is w?\nAnswer: -8, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 36\/49, 3\/5, -5, -1\/9, -4 in descending order.\nAnswer: 5, 4, 36\/49, 3\/5, -1\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-21105)*67)\/(2\/610)*1.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 20860679*j**2 - 5*j - 20860679*j**2 - j**3 to f*j**3 + c*j + z + p*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 10*o - 11. Suppose -21 = 10*i + 19. Let q be v(i). Let g be 30\/((-5)\/q - (-1)\/3). Calculate the greatest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 97 = 3*h - 54*z, -4*h = -2*z - 92. Let j be 256\/14 + 4\/(-14). Calculate the greatest common factor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Suppose 4 = b + 6. Sort 2, x, b in increasing order.\nAnswer: b, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = -17. Let x be 7 + o*1\/(-2). Suppose 0 - 9\/5*l**5 - 3\/5*l**2 + 0*l - 3\/5*l**3 + x*l**4 = 0. What is l?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 137523076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + s - 5*s + (6*s - 2*s - s)*(-4 - 1 + 2).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*u - 4 - 1, 5*u = v + 5. Solve v = 27*y - 29*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*y - 5*k, 4*k + 5 = 3*y - 9. Let n(o) = o + 3. Let c(j) = j**2 + 2*j + 7. Determine y*c(h) - 5*n(h).\nAnswer: 2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzz when three letters picked without replacement from {l: 7, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 982036.7um?\nAnswer: 98.20367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.7. Let q = -2.6 + r. Let d = -2 + 3. What is the second smallest value in d, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 - 387530*l**2 - 7505873845*l + 120193209680 = 0. What is l?\nAnswer: -38761, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 3*p**5\/20 + 6*p**4 + 96*p**3 + 768*p**2 - 8*p. Factor s(m).\nAnswer: 3*(m + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 48. Suppose 4*a = a - 5*d - 43, 2*a + 2*d = -22. Let q be 9\/a*b\/18. What is the biggest value in -2\/9, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t + t**2 + 3*t**2 - 3*t - 3 + 0*t. Is j(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782.735 rounded to zero dps?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g**3 - 7*g**2 + 8*g + 9. Let s(o) = 5*o**3 + 3*o**2 - 4*o - 4. Determine -4*n(x) - 9*s(x).\nAnswer: -9*x**3 + x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -16 - 8. Let k = 187 + -109. Calculate the highest common divisor of k and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24058703 - -1?\nAnswer: -24058702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 287*d - 437*d + 724*d - 6305*d**3 to the form g*d + c*d**2 + l + h*d**3 and give h.\nAnswer: -6305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n - 7. Let f be x(-9). Differentiate 7*g**4 + 12*g**4 - f - 22*g**4 wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, -609, -1\/3, 4, 1.673?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express j + j + j + (-24150 - 138*j + 24150)*(-4 + 0 + 2) - 6*j - 127 + 127 in the form v*j + n and give v.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -190121852 smaller than -190121852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvtt. What is prob of sequence vtvt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at most 7195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 2. Let w = 2153\/9 - 239. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/28)\/(585\/234).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 13 + (-13 + 6 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 13. Let b be u(13). What is the highest common divisor of b and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3\/7, -1\/2, -0.3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6476*x**2 + 44498*x - 1133520052 wrt x?\nAnswer: 12952*x + 44498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x*x*x)\/((x**(-26)\/x)\/x) assuming x is positive.\nAnswer: x**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 8*f**3 - 20*f**4 - 23083328*f**2 + 23083328*f**2 - 1 as j*f**4 + a*f**3 + d*f + u + c*f**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 6 + 21 - 15.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 57*x - 11. What are the prime factors of b(2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/(f*f**(5\/8))*f\/(f*f**23)*f*f\/f**2 assuming f is positive.\nAnswer: f**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.232706 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.68 + 55.32. Let s = 515.20726 + -571.2066. Let q = s + t. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -19*g - 1. Let m be 11\/55 - ((-4)\/5 - g). Suppose -p - 25 + 28 = m. Sort -1, p, 5 in decreasing order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:52 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 2175 = 62*z + 41*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131094003.\nAnswer: 3, 43698001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 2*q - 1. Determine f(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -131. Let f = -45.6 + y. What is the smallest value in 0.1, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387937?\nAnswer: 3, 795979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 4) in base 8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358253 is divided by 119030?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**4 - 2*z**4 - 3*z**4 + (-2*z**2 + 3*z - 6*z + 2*z)*(4*z**2 - z**2 + z**2) to the form i*z**2 + l + w*z**4 + p*z**3 + g*z and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*g**3*o**3*x + 60572*g**3*x**3 - 87*g**2*o**3*x**3 + 1122*g**2*o**3*x + g**2*o**2*x + 4*g**2*o**2 wrt g?\nAnswer: -282*o**3*x + 363432*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - 4*j)*(-3 + 2 + 2)*(-62*j + 24*j + 23*j + (-j - j + j)*(6 - 4 - 4)).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 129.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 2:17 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 + 7*r - 7. Let k be z(5). Let i be ((-8)\/(-10))\/((-1)\/35). Let w = i + k. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.5 take away 0.103?\nAnswer: 572.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5*x + 8. Let p be r(-6). Suppose -3*i = -n - 21, 4*i - p*n - 28 = -n. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 7. Let i(m) = -4*m - 10. Let c(p) = -5*i(p) + 7*l(p). Let u = -50 - -65. Let t(g) = -10*g + 3*g - 3 + 5 + 3 + g. Determine u*c(r) - 3*t(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62\/8 - (-2)\/8. Let h be (i\/6)\/((-1)\/(-60)). What is h rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:35 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + i**2 + 2*i**2 + (2*i + 0*i + 0*i)*(2*i - 2 + 2) + i**2 + 2*i**2 + 0*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**3*m**3 + 11*k**3*m + 4*k**2*m**3 + k*m**2 + 7580*k + 2*m**3 + 1 wrt k.\nAnswer: -42*k*m**3 + 66*k*m + 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3656 - 3624. What is the highest common factor of s and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/12 + ((-2)\/8)\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39\/7, -2, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 10:37 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0.2. Let c = -38 + 37.87. Let b = c - 0.37. What is the third biggest value in k, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391516673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 11:09 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = k - 25, 5*k - 4*x = -2*x + 98. Solve k - 12 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 - 825. Let g(b) = -26*b. What is g(j(z))?\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235094 divided by 47.\nAnswer: 5002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(448)*-1).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.08? (a) -5\/6 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((-2)\/8 + 0). Suppose -2 = -3*i - q, 5*q - m = -i - 6. Suppose a = b - 20 - 52, i = -4*b + a + 285. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 30 = 5*l. Let p be 5 + 2*1\/(-1). Solve -h = -p*h + l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -6, -22, -52, -102?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -t. Suppose -c - 3 = -d, -5 - 2 = -4*d + 5*c. Let z(g) = -g**3 + 9*g**2 - 6*g + 6. Calculate the remainder when z(d) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 650*c**2 - 8*c. Let x(m) = -m**3 + 433*m**2 + 5*m. Calculate -5*i(q) - 8*x(q).\nAnswer: 3*q**3 - 214*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22281776, 1, -4 in descending order.\nAnswer: 1, -4, -22281776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 - -201.17. Sort -3, -2\/3, c in increasing order.\nAnswer: -3, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 + -25 - (-10 - -1). Let i = 8 + -3. Suppose -4 = h - i*h. Solve -v*u - 4*b = -24, -17 = -3*u - b - h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let u(f) = -8*f + 16. Let s(h) = 2*a(h) - u(h). Let x(d) = -2*d + 5. Determine -3*s(b) - 10*x(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-33)*(30\/(-10))\/9.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(sqrt(180) + -3 + sqrt(180)) - sqrt(180)))**2 + -5.\nAnswer: -36*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(3 + -2)*1. Let u(p) = 14*p**3 - 2*p**2 + 1. Let b be u(1). Let q = 11933 - 11933. Solve q = t - 5*c - b - 8, 0 = y*c + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 35*u**2 - 60*u - 219. Let p be q(-4). What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/8 + 3\/2. Suppose 12*w - 5 = 55. Solve l = w*h - h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476575703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290*y**4 + 9*y**3 - 23330*y**2 - 10320*y - 10098?\nAnswer: -3480*y**2 + 54*y - 46660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*d + 10, -5*t - 23 = -2*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 1039896 - 1039921 = 0, 2*y = -3*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110012201111102 - 11?\nAnswer: -2110012201111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/224 + (-4816)\/(-196).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042319286 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013540468 to 5 decimal places.\nAnswer: 0.01354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 45*z - 576 = 0. Calculate the smallest common multiple of z and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 7. Let h be j(-9). Suppose f = -2*f - 15, 2 = h*x + 2*f. Solve -4*i = -7*i - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 20951 - 20951.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 16416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let c(p) = -157721334*p**2. Calculate c(k(b)).\nAnswer: -157721334*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8801*m + 35095. What is h(-4)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449850 smaller than 7449846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -664.3 + -40.84\nAnswer: -705.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -1*sqrt(68)*2)\/sqrt(512))\/(-1*(-2*sqrt(128) + sqrt(128))).\nAnswer: 3*sqrt(17)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -744065 + 357151057\/480. What is the common denominator of g and 69\/44?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -86*a - 66. Calculate the remainder when 48 is divided by h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*j + 235 = 0, 2*w - 2*j - 385 = -w. What is the remainder when 621 is divided by w?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3 - 462*o**2 - 40293*o - 718740 = 0. Calculate o.\nAnswer: -33, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0*t**4 + 0 + t**2 + 0*t**3 + 4*t + 1\/5*t**5. What is the derivative of v(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0887 and -82.\nAnswer: 7.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 33 = -2*z - 5*h + 14, 15*h + 45 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271460 and 5390?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010011100110 (base 2) to base 10.\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 - 15\/(-6)*(-2 - -4). Solve 0 = -4*p - 11*g + 10*g, i*g = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 395?\nAnswer: -395.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db9b424 + 4?\nAnswer: -db9b420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88153 or -88137?\nAnswer: -88137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + h - 1 = 0, -5*t + 1 = -3*h + 4. Suppose t = 21*o - 12*o. Suppose o = -3*x - 6, z + 6*x = x + 66. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5058, 5081, 5104, 5127?\nAnswer: 5150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/49 - ((-1508)\/14)\/1. Suppose h + c = 10*h. Let p(f) = f**3 - 5*f**2 + 7*f - 3. What is the remainder when p(5) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.5. Let i = -3 + 4. Suppose -2*n = 2*n + 3*g + 11, -n - 3*g + 4 = 0. Which is the closest to i? (a) n (b) m (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129.19701156623 + -37058146.19697456623. Let f = -37058062 - s. Let c = 45 + f. Round c to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -136. Let f(j) = 3*j + j - b*j. Let g(m) = 6*m. Give g(f(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -210. Let l = c + -32. Let d = l - 56. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -11*x**4\/24 + 299*x**3\/6 - 101*x**2. What are the prime factors of n(-20)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/4 + 7*z**3\/6 + 5*z**2\/2 + 12*z. Let f be p(-2). Suppose 2*o + 4*s - 76 = 0, -f*o + 3*s = 4*s - 104. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -127*m - 36. Let v(x) = -476*x - 136. Let w(i) = 34*a(i) - 9*v(i). Let q(n) = 68*n + 2. Determine q(w(h)).\nAnswer: -2312*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2994 - 5930 = -27*i - 1883 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 26. Determine y(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 2*l + 3. Let o be m(-2). Suppose -2*g - o = -39. Let s(z) = -z**2 + 16*z + 18. What are the prime factors of s(g)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 - 14)\/((-6)\/(-12)). Solve r*o = -2*f - f - 25, 0 = -2*o + 4*f + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5348 by -14.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/(404\/(-4848))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65997, -132156, -198315?\nAnswer: -264474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 717359481 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99728 by 271.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**29\/w)\/w*w*w\/w**(3\/8))\/(w**16\/w*w**(-32)))**(-48) assuming w is positive.\nAnswer: w**(-2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 22. Let z(q) = -q + 11. Let b(p) = 6*j(p) - 11*z(p). What is the remainder when 10 is divided by b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132352 + -15?\nAnswer: 132333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/20 - 7*r**4\/12 - 4*r**3 + r**2. Let d be 18 - (1 - (-6 - -11) - -11). What are the prime factors of o(d)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 + 2*h - 2. Let z be x(-3). Suppose 2*u + z = 7*u. Suppose m + 2*m - 3*g - 63 = 0, u*m + g = 36. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1316319 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d - 16. Let q(s) = 6*s - 11. Let c(l) = 21*l - 39. Let h(i) = 5*c(i) - 18*q(i). Give 11*h(b) + 2*p(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) 5 (d) 0.4 (e) -0.162\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 71*n**2 - 69*n**2 + 16 - 79*n**2 + 75*n**2 - 75*n + 29. Calculate s(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -10*r + 5*r. Suppose 5*i - 245 = 5*m, 23*m - 28*m = 5*i + 265. Is r at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -3*o, 0 = 2*x - 4*o + 3*o - 5. Suppose x*n - 16 + 0 = 0. Solve -2*w + n = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 112524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -903 - -1970. Factor -l + 1063*l**2 - 3*l + 48 - j*l**2.\nAnswer: -4*(l - 3)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/72)\/(-2 + 1 + (-68)\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 4*i + 2*i)*(-4 + 0 + 3) - 7*i + 18*i + 6*i - 2*i + 6*i - 2*i - 2*i + 4*i - i + (-5*i + 5*i + 2*i)*(6 - 1 - 4) + 0*i + 0*i - i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2650 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.085 + -27. Let r = 3 + -3.13. Let x = u + r. What is x rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*z + 1509 = -607 - 690 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5247 - -5249. Solve k*d + 1 = -2*g - 1, 3*g = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 34 = -3*t, 4*t - 16*y = -12*y + 52. Solve -5*s = -t*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 1\/3 (c) -5 (d) -86\/319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 33 - (-11 - -21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -0.1, 4, 1293\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3.3. Let p be ((-18)\/4)\/(-3)*-26. Let f be (-3 - p\/12)*-2. Which is the second smallest value? (a) f (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76000*(10\/(-4) - 0). Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 2*y + 15 = -3*o, 0 = 4*y + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -16*o - 712 + 1402 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*g**5 - 63*g**3 + 2*g**2 - 89*g.\nAnswer: 540*g**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733.92255 microseconds to hours.\nAnswer: 0.000000203867375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(sqrt(153) + -4)*5 + sqrt(68) + -2 + sqrt(68) + 1 + sqrt(68) + 0)**2.\nAnswer: -16362*sqrt(17) + 121738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122748 and 3004?\nAnswer: 92183748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 2551844438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1285 - -1289. Let u(d) = d**2 - 7*d + 5. Determine u(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1, 24, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) - (sqrt(224) + 2*sqrt(224)))*6)\/((sqrt(1600)*-2)\/sqrt(2)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64\/83 - 2018\/249. Is -6 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 36*r**3 - 15*r**2 + 37*r - 79. What is the tens digit of n(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 + 219.013. Let p = n - 677.2. Round p to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273 - 25*z**3 + 39*z**3 + 87*z**3 + 176 + 102.\nAnswer: 101*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 4. Let o(s) = -2*s + 16. Let z(w) = w**2 - 12*w - 5. Let c be z(13). Let l be o(c). Let i be x(l). Solve v = i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.47174891 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 4*l)*(-9*l**4 - l**4 - 11*l**4).\nAnswer: 42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -8. Suppose 7*p - 80 = -p. Suppose -p*x = -5*x - 360. Calculate the highest common divisor of x and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 194, 198, 202?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1216896 by -192.\nAnswer: -6338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -2\/15 (c) 473\/654\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuuzzzvzzuuzzzuuv. What is prob of picking 3 z and 1 u?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 18*g + 30. What is the remainder when 11 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.92 - 6965?\nAnswer: -6970.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**4 + 2*b**4 + b**4)*(2 - 2 + 1).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (97 - 3)) + -126 + 88 + 38?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 50 - 222 = 0. Let r = 13 - n. Let v be (-8)\/(-6)*9\/r. Put 5, 0, v in descending order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17567584 to the power of 1\/2, to the nearest integer?\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7210 - 277?\nAnswer: 6c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -386647*l. Let o(v) = -3*v**2. Calculate o(q(z)).\nAnswer: -448487707827*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*6\/(-14))\/(1176\/(-35672)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*l - 168, -4*l + 23 + 133 = 2*s. What is the remainder when 265 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230656763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 700 - m + 696 + (3*m + 3*m - 5*m)*(-3 + 1 + 1) + 0*m + 12*m - 5*m.\nAnswer: 5*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 136105439.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -24. What is the remainder when 87 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*p + 48, p + 59 + 1 = 5*l. Solve 0 = -4*q - 4, 3*z + 10*q - l*q - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509687828 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 485 = -3*y, -5*i - 5*y = -i + 975. Suppose -3*p - 592 = p. Let a = p - i. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 66\/(-60))*(-1 + -3). What is the third smallest value in -11, 4\/9, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 20. Let x(m) = 7*m**2 - 3*m - 10. Let k(f) = 6*f**2 - 2*f - 9. Let q(h) = 6*k(h) - 5*x(h). Calculate q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 39*f + 175. Calculate b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316\/765 - -2\/153. Let a be (-1)\/((-3)\/(1*-3)). Is a > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129213217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103842116 to 7 decimal places.\nAnswer: -0.0001038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28318272 divided by -113728\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 + -0.25. Let s = -298 - -302.44. Let t = y + s. Sort t, 0.2, 2.\nAnswer: 0.2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 2*y, 3*x + y - 5 = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-5) + (8\/(-5))\/4. Suppose -20 = -p - c*p. Solve 12 = -p*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, 4, 2\/263, 2\/5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -778.38791 rounded to one dp?\nAnswer: -778.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3 and 34\/12649.\nAnswer: 37947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b46a9 + 16b8?\nAnswer: -b2bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*q**2 + 73*q**2 - 33*q**2)*(-2 - 2 + 2).\nAnswer: 138*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3340770 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 2. Let w(d) = 1. Let n(v) = 2*s(v) + 4*w(v). Let x(o) be the first derivative of 2*o**2 + 12. Calculate x(n(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 10*c**2 - 2*c - 10. Let m(f) = -f**3 + 21*f**2 + 22*f + 10. Let j be m(22). Let k be l(j). Which is greater: -31 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 28*i**2 + 7*i - 11. Let z(a) = -a - 3. Let b be z(-10). Let d be x(b). What is d rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 - -188. Let f = r + 30.99999911. What is f rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.307129 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 + -2)*142)\/(-2). Suppose -4*i - 5*y - 79 = 0, -5*i + 344*y - 102 = 347*y. Let t = z + i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -13\/85958 (c) 1\/2 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3114 = -5*n + 3059 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/53592 and -1\/3248.\nAnswer: 107184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 11799?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0886 times -10.8?\nAnswer: 11.75688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -576 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.15 (b) -121.6 (c) 3\/7 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4\/u)\/u)\/u*u*u\/u**(4\/7))**(-1) assuming u is positive.\nAnswer: u**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1903082*j**3 - j**2 - 123548*j?\nAnswer: 11418492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 79410991?\nAnswer: -79410988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + 2*n**2 + 20*n - 3. Determine v(6).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23102 (b) -5 (c) 5\/3 (d) -0.04 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3322086526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 3*u**2 + u**2 + (5 - 5 - 1)*(-3*u**2 + 12*u**2 - u**2) to the form f*u**2 + d*u + w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 17*v**2 + 12*v + 714. List the prime factors of t(-19).\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30070, 60165, 90286, 120433, 150606?\n\"Answer: 13*t**2 + 30056*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2136*b**2 - 80*b. Let m(u) = -u. What is m(w(y))?\nAnswer: -2136*y**2 + 80*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblcdcbcbccclcbb. Give prob of sequence ccl.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 156.5. Let n = 0.5 - x. Let c = 32.9 + n. Sort c, 3, 4\/7.\nAnswer: c, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + 5*(sqrt(102) + sqrt(102)*-1))\/(sqrt(120)\/sqrt(5)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58201043 >= 58201047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*m + 15014 - 15014 + 320*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1596289303705)\/218627340 + (-4)\/6. Let u = -6\/3643789 + h. Let z = 7307 + u. Find the common denominator of 7\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/(-2)*-2*1. Let a = m - 16. Find the first derivative of a*z**2 + 2*z**2 + 5*z**2 - 7*z**2 - 2 wrt z.\nAnswer: 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73 - 22?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -41 - (38 - -9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 166?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l - 2*m = -25, 35 = 3*l + 4*m. Let q be (-8)\/4 + 11\/(44\/160). Let i = -33 + q. What is the remainder when l is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 4 - 2) + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108468 - 54*d**2 - 108468)*(3*d**3 - 2*d**3 - 2*d**3 + (0 - 3 + 5)*(0 - 1 + 2)*(-d**3 + 3*d**3 - 4*d**3)).\nAnswer: 270*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-5))\/h*h*h**(-5\/2))**15 assuming h is positive.\nAnswer: h**(135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541617 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.02 - 0.02. Let a(b) = -2*b - 7. Let c be a(-5). Suppose -20 = c*k - 5. What is the nearest to 0 in k, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.6. Sort s, -0.4, 0 in increasing order.\nAnswer: s, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-82 - -1767)*(-4)\/(-10) is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p. Let w(v) be the first derivative of -9*v**4\/4 + 4*v**3 + 15*v**2\/2 + 6*v - 10. Let i(k) = -6*d(k) - w(k). Find a, given that i(a) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655510547 is divided by 2958.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 3.29 (c) 1\/3 (d) -4 (e) -3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-15)*11*(-2142)\/(-187)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + sqrt(95)*1 + sqrt(95) + sqrt(95))*-1)\/sqrt(5) - (sqrt(76)\/(sqrt(4) + -2*sqrt(4) - sqrt(4)) - sqrt(19))*-1)**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.3 + 42.9. Let p be (-1)\/(-3)*(-1 - 0). What is the closest to p in -5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 - 17\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/371 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532566 (base 8) in base 6?\nAnswer: 13231302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000296529446 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4692 = 3*g - 3*v, 5*g - 4*v + v - 7828 = 0. Suppose -5*z - 2*q = -g, 2*q + 320 = z + 4*q. Calculate the highest common divisor of 39 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16096 and 73612436?\nAnswer: 73612435.83904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + y**2 - 2*y. Let x be 3\/(1 + 0 - 40\/16). What is a(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 389220112?\nAnswer: 1167660336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020957022 minus 48.747?\nAnswer: -2020957070.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 720?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143849 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000749179982 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-5)))\/(s\/s**17)*(s*s*s**(6\/7)*s)\/(s*s\/(s*s*s\/(s**(-2\/25)*s))) assuming s is positive.\nAnswer: s**(4364\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 308\/1078*(-2)\/4*(-56)\/(-240)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**8\/30240 - p**7\/1890 - p**6\/90 + p**5\/10 - p**3\/6 + 57*p**2. Let x(c) be the third derivative of a(c). Factor x(z).\nAnswer: 2*(z - 6)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 15*w**2 - 6*w - 48. Determine u(-16).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 118*l\/9 - 208.\nAnswer: 2*(l - 13)*(l + 72)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8289443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, 5, 2\/7, -0.1 in descending order.\nAnswer: 5, 8\/5, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 - 211. Let d(v) = 3*v**3 + 2*v + 2. Let u(s) = -7*s**3 - 5*s - 5. Determine z*u(c) + 5*d(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 64.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 452.3702 centuries?\nAnswer: 4523.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 11:57 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -2*s**2 + 0*s + 0 - 1\/6*s**3 + 1\/12*s**4. Find the first derivative of y(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1 - -3) + -4. Let n(q) be the second derivative of -q**3\/3 - 2*q**2 + 89*q. Determine n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*o + 66, o + 3*i - 4439 = 6*o - 4340 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v + 2 - 27*v + 3 + 5*v - 6. Suppose 3*r + k = 13, 2*r - 21 = -r - 3*k. What is a(r)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18 = -0*w. Let v = w - -8. Is 0 + v + (-30)\/(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 2*l**4 + 0*l**4 + (-2 - l**3 + 2)*(13 + 2*l - 13) to the form x*l**4 + z*l**2 + s + d*l + g*l**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -149.9. Which is the third biggest value? (a) -2 (b) -31 (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6624 + 4318 = 2387*g + 8617 + 1012 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 3*6\/9. Let y = f + 8. Suppose 0 = -5*s + 2 - y, 0 = 4*g - 4*s - 52. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d**5 - 255*d**4 - 1785*d**3 - 2305*d**2 - 450*d + 360 = 0. Calculate d.\nAnswer: -3, -1, 2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5*m - 267*i**5 + 299*i*m wrt i?\nAnswer: 20*i**3*m - 5340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.62 - 62. Round u to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(1\/(4\/(-6))) - -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 28 - 32 - 11 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15222 (base 6) in base 10?\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*v - 24, 5*y - 2*v = 5 - 44. Let b = -1 - y. Let q be 3*(0 + 2\/b). Let p(i) = 3*i**2 - 1. What is p(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3313677, -6627365, -9941053, -13254741, -16568429, -19882117?\nAnswer: -23195805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let y = -6.1 - -6. Let r = -9\/2 - -4. What is the second biggest value in p, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**3 + 5*j**2 + 5*j. Let s be 55\/(-7) - 6*(-2)\/(-84). Let a(f) = 14*f**3 + 8*f**2 + 8*f. Calculate s*v(q) + 5*a(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1006, 4025, 9060, 16111, 25178, 36261?\n\"Answer: 1008*r**2 - 5*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y**2 + 6*y + 2. Let s = 133 + -123. Suppose -25 = -5*v - s*o + 5*o, 2*v - 22 = 4*o. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 110*s**2 - 627*s + 6. Calculate q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -4\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -9 + (-13 - -7 - -21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -80.2.\nAnswer: -80.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 186. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.0358005 hours to weeks.\nAnswer: 0.0894988125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 6*t - 4. Let g be o(6). Calculate the common denominator of (-10)\/75 + g\/(-24) - 4 and 31\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -896 + 631. Let r = y - -18286\/69. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by 418.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 894, 2129, 3848, 6045, 8714?\nAnswer: 11849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + ((-2)\/(-2) - 1). Let i = b + 26. Suppose 4*v - i = -5*p + 3, v - 5*p + 12 = 0. Solve -v*t + 4*w = -w - 8, -w = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/22 and -31\/70384598.\nAnswer: 774230578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 0 + 0 - 1)*(4*v**2 + 435 - 239 - 213) to j*v**2 + n*v + r*v**3 + b and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*o - 5*o - 23, -5 = j + 3*o. Is 3995 + 9\/(-6)*j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - (-13)\/3. Let n(d) = 2*d + 6. Let z be n(5). Solve u*r + 37 = r + 5*i, -3*r - 5*i + z = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -24 (b) 2 (c) -3\/4 (d) -6 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1110110100101 (base 2) to base 12\nAnswer: -4485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 1 - 1. Suppose 12 = j - 2. Let i(n) = -20*n + 6*n - 9*n**2 + j*n. What is i(b(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v - 22*v - 6*v**3 + 24*v**3 - 31*v**3 + 81 + 6*v**3 + (2 + 8*v - 2)*(v**2 - 2*v**2 - 2*v**2) to i*v + j*v**2 + p + n*v**3 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8030 and 330.\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (4 + (sqrt(5) - (sqrt(5) + 2)) - sqrt(25)\/(sqrt(20)\/sqrt(4)))))**2.\nAnswer: -96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c + 309. Find the common denominator of 13\/6 and (-129)\/c*2 - -4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -57, -87, -163, -291, -477?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1254 divided by -22\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 195?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 58. Let v be d(-16). Let o(c) = -c + 2. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 17*h - 14 - 5*h**3 + h - 4.\nAnswer: -5*h**3 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -41. Which is bigger: -6\/29 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3 - (-2 - 1)) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103759 and 8.\nAnswer: 830072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5929, 47159, 159021, 376831, 735905, 1271559, 2019109?\nAnswer: 3013871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 3\/20, 1\/2?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4 + 90\/360.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r + 1161 - 1161.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -19*u**4\/12 + u**3\/6 + 3*u**2\/2 - 5*u. Let q be k(2). Let o = 99 + q. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*u + 38, -153*j - 32*u - 184 = -157*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3*f + 1. Suppose -20 = -0*v + 4*v. Let g(s) = -2*s - 15. Let m(l) = 3*l + 23. Let d(a) = v*m(a) - 7*g(a). Let u be d(-5). What is o(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a - 49*a - 6*c + 12 = 0, 4 = 3*a + 2*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 10*s + 350 = 0. Does 50 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/60 + 89*z**4\/24 + z**2 + 5. Let t(i) = 2*i. What is t(g(q))?\nAnswer: 2*q**2 + 178*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4500985551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d*d**3*d))\/((d\/(d*d**(-15))*d)\/(d*d*d\/(d*(d**(-13)*d)\/d))) assuming d is positive.\nAnswer: d**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160609423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -812549.958 to the nearest 1000.\nAnswer: -813000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 5:51 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18445675, 36891351, 55337027, 73782703, 92228379?\n\"Answer: 18445676*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25*k**3 - 4*k**2 - 4*k + 4. Let j(g) be the third derivative of 17*g**6\/40 - 3*g**5\/20 - 3*g**4\/8 + 3*g**3\/2 + 1144*g**2. Determine 9*i(m) - 4*j(m).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 9*d**2 + 25*d + 26. Let b(p) = -p**3 + 4*p**2 + 13*p + 13. Let t(i) = -7*b(i) + 4*w(i). What is t(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/((-1)\/1)). Let m = -95\/21 + 27\/7. Do m and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 2.92. Let v = 24.9 + -61.8. Let s = v + 36.6. What is the closest to 0 in t, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + 0.14. Which is bigger: 3.6 or n?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 93, 86, 69, 36, -19, -102, -219?\n\"Answer: -i**3 + i**2 - 3*i + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 17. Calculate a(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - 41 - -38) + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145 + -144. Let v be (1 + -2)*-2 + 9. Solve 4*y - 15 = -x, -y = 3*x + v - z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 3.6. Let z = 1.5 - 1.9. Let b = 0.9 + z. What is the third biggest value in b, 4\/7, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 307*s - 316*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 233\/8 (b) 1.736 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w. Let j(u) be the third derivative of u**5\/15 - 12*u**2. Calculate o(j(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*6*(1 + sqrt(704) + -5 - sqrt(704)))**2.\nAnswer: 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-1440)*-32*-39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 20 + (-6)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/40 - -11\/8. Which is the closest to 1? (a) 2 (b) k (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -530139*x**3 + 722*x**2 - 464.\nAnswer: -3180834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/3)\/((-2)\/31). Let a = -20 - c. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32739 = -285*j - 841*j + 95854 + 88895 for j.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*b - 16, j + b = -j. Let c = 9 - 6. Calculate the remainder when c is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 12*b - 2. Suppose -5*q - 791 = -x, b*x - 1230 - 352 = q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 13*m - 4. Let i be 945\/(-357) - 54\/153. Give n(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17953?\nAnswer: 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/56)\/(y*y**(-3\/8)) assuming y is positive.\nAnswer: y**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 25. Let p be a(10). Suppose -l - 1031 = -p*y, 2*y + 3*l - 430 = -l. Suppose -3*r + y = 4*o, 4*o = o - 5*r + 169. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3223.\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 462 = 3*n + 4*g, -4*n = -3*g - 664. Let w be 26\/n + ((-284)\/(-182) - 2). Which is the smallest value? (a) w (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1731\/19 + 91. Let g = -191.22 + -3.78. Let q = g + 195. Put 12, w, q in ascending order.\nAnswer: w, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*s - 39 = 0, 2*k + 5*s - 13 = -10 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*u + 1 = 0, 456*s - 458*s + 3*u - 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12143, 24372, 36623, 48908, 61239, 73628, 86087?\nAnswer: 98628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -387\/1358 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*o + 11. Suppose 0*p + 9 = 5*p - 3*l, 2*p = o*l - 4. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 2. Let z be u(4). Let a(h) = -19*h - 4. Calculate the remainder when a(z) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10256544*-0.5.\nAnswer: 5128272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2\/2475, 5, -359, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5840670 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.462723438 rounded to 5 dps?\nAnswer: -0.46272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/315)\/((-1)\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 20.4. Let n = -11 + 39. Let h = 25 - n. Which is the nearest to h? (a) k (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*o = -9, -5*o + 1 = -2*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27397 divided by 23?\nAnswer: 27397\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/49688 and -37\/812.\nAnswer: 10086664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10*6*60\/144\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 2330 = -2225 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.06 + -0.06. Let i = -75\/7 - -11. Which is the closest to i? (a) -1\/5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(5772\/37)*36\/495.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/20 - 4\/(-10). Suppose -u*n + n = 13. Let m = n + 25. What is the highest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:19 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 511496487 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1689*q**3*y - 2*q*y - 21499*y wrt q.\nAnswer: -5067*q**2*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*j = 22, -30 = -5*z - 0*j - j. Suppose y + 18 = z*y. What is the third derivative of -x**2 - 3*x**5 - 92*x**y + 7*x**2 + 92*x**3 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1805, -7203, -16195, -28781, -44961, -64735?\nAnswer: -88103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*f*i**3 + 142*f*i - 30736*f with respect to i.\nAnswer: 324*f*i**2 + 142*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(-10)*(-150)\/(-24)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (4 - 1)) + -3. Let r(q) = -q**2 - q - 5. Let y be r(i). Which is smaller: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*o + 176. Calculate the remainder when o is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -262 - 3*z - 117 - 1442 + 8 as w*z + c and give c.\nAnswer: -1813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 7604 = -2*x - 0*x + 7767, -2*x + 70 + 24 = -4*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 4\/17, 2, 3\/8?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -107 + (2\/(-14) - 78\/42). Let o = 111 + c. Put 9, o, -1 in decreasing order.\nAnswer: 9, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 15*o + 2015 = 0. Solve o = w + 63 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + 6731\/10. Let r = 670 - f. Find the common denominator of 820\/330 + 4\/(-6) and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.089 or 0?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*r + (r - 4*r + r)*(1 + 10 - 12) - r - 221931 - r + 222035.\nAnswer: 2*r + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 513 and 6?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/1)\/(-57 + 75 + (-62)\/2 - -11).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870187 (base 11) in base 6?\nAnswer: 253431401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5496081*a**2. Let b(p) = -4*p. Calculate c(b(r)).\nAnswer: -87937296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*b**3 - 19*b**3 - 78*b**3 + 355*b**3 + b**3 - b**3 + 2*b**3 + (-2*b**2 + b**2 + 3*b**2)*(1 - 1 - 2*b) to q*b**3 + u + l*b**2 + r*b and give q.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1) + 0\/(-3). Let g = 2 + 1. Suppose g*m - 5 = d*m. Sort m, 5, 0.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -21. Suppose z*k + 5 = 17, -39 = -j + 4*k. Let q = j + -27. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p + 1. Let k be t(-1). Calculate the greatest common divisor of 18 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 5*k - 40, 0*d = 2*d - 4*k + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271486?\nAnswer: 2, 135743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*y - 34*y - 341. Calculate the greatest common divisor of y and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66696845\/204 - -326946. Calculate the common denominator of -1\/408 and k.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3087 = -700*g + 847*g. Suppose -2*o - 4*m + 26 = -4, -2*m = -3*o + 5. Suppose 0 = o*n - 2*n - 36. Solve 2*x + n = a + 5*x, -3*x + g = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 - 12526924*q\/5 - 19615478112722\/5 = 0. Calculate q.\nAnswer: -3131731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11428173 is divided by 5059?\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 1681*f**7\/42 - f**3\/6 + 215*f**2\/2 - 842*f. What is the second derivative of d(g) wrt g?\nAnswer: 33620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrntnarttattlt. Give prob of sequence ta.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16065*c + 32010. Let l(k) = -2921*k + 5821. Let i(u) = -5*h(u) + 27*l(u). Differentiate i(v) wrt v.\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {l: 8, k: 1, w: 2, x: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {k: 1, x: 1, b: 4, n: 5}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 28 = 0. Suppose n = 5*r + 2*r. Let q(g) = g**3 - 6*g**2 + g - 5. Let l be q(6). Is r < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let w = 8490 + -8492. Let x(k) = -k - 2. Let i be x(-2). What is the nearest to i in w, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 35, 23, 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - 0) - (-81 + 72 - 30)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453614937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*o + 22 + 278, 300 = 5*o + 2*p. Let u = 60 - o. Is 15 a factor of u - ((3 - 61) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 378\nAnswer: -1\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1020 and 73\/126072?\nAnswer: 630360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 - 2*g + 3. Let s(f) = -f**2 + 9*f - 4. Let p be (105\/(-20) + 6)*(-16)\/(-2). Let h be s(p). Suppose 8*l - 38 = -h. What is t(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 7*t - 9*t + 6, -3*k = 4*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -48. Let p = x - -37.000052. Round p to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 5*n + n**3 + 3*n**2 - n - 2 + 5*n. Let x be w(2). Which is the smallest value? (a) -0.4 (b) -6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 18 - (-3 + -4 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2209*z**4\/6 - 2420*z**2 - 8142*z. Differentiate h(d) with respect to d.\nAnswer: 8836*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - 2 - ((58 - 48) + 0 + -4)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-104)\/936).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2. Give o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1509 (base 14) to base 16.\nAnswer: e95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101010 - -10121222?\nAnswer: 10020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5.12. Let a = -1209.9 - -1210. Sort a, z, 1\/3 in descending order.\nAnswer: 1\/3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6651, 26633, 59937, 106563, 166511, 239781?\nAnswer: 326373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -39. What is the greatest common factor of c and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/2 + 53777*g**2 + 2474229*g\/2 + 2259117 = 0.\nAnswer: -21, -2, 107577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/18)\/1*27*(-6)\/(-81).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x, 0 = -d - 4*x - x + 10. Suppose q - d*q = -8. Suppose -q*p = 6 - 22. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 15. Let r be b(10). Let a be -20*-1*2\/r. Suppose -5*w = 51 - 151. What is the highest common divisor of a and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103099*d = 103154*d - 1430 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 5*p, -m + p + 6 = 1. Suppose 2*u - 6 = 5*b - 26, 3*u + 4*b - 16 = 0. Is u less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5 - 370*w**4 + 43198*w**3 - 1508560*w**2 - 3148199*w - 1596070 = 0.\nAnswer: -1, 70, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h**2 - 7*h - 10. Let s(g) = -g**2 + g + 1. Determine -a(u) - 6*s(u).\nAnswer: 20*u**2 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a - 8. Let m be ((0 - 0) + 2)\/(-3). Let q = -67\/39 + 2\/39. Put a, q, m in increasing order.\nAnswer: a, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16594*p + 16582*p = 144 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5063 and 42578.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*f - 2*o, -f - 19*o + 20 = -16*o. Solve 0 = 4*g - 10*k + f*k - 32, -g = -5*k + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136 + d**3 + 34*d**4 - d**3 - 71*d**4 + 39*d**4 + 19*d with respect to d.\nAnswer: 8*d**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612027 divided by -1\nAnswer: -612027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 792*i**3 - 77760*i**2 - 3359232*i - 53747712.\nAnswer: -3*(i + 48)*(i + 72)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28616 is divided by 13778.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 4*x)*(-5*x + x + 2*x + (-2 + 2 - 1)*(-5*x + 2*x + 5*x) + x + x + 0*x)*(-4 + 1 - 3) in the form g + l*x**2 + d*x and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*s + 429*s + 418*s as z*s + c and give z.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12959 - -23322. List the prime factors of t.\nAnswer: 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.022859 (b) -3\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85138863 - -240.\nAnswer: 85139103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -12, 28, 122, 288, 544, 908?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 7*n + 21. Let i = n - -5. What is the highest common divisor of 130 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 r when four letters picked without replacement from {f: 9, r: 5}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 110*m**2\/9 + 104*m\/9 + 24.\nAnswer: 2*(m - 54)*(m - 2)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11799 and 9619911.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/68 in 0.5, 2\/11, -3, -3\/10, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.754 - 0.046. Let a = 8.8 + k. What is the second biggest value in 2\/3, a, -4, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*(-8)\/(256\/24)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m. Let x(z) = z. Let g(q) = k(q) - 6*x(q). What is the units digit of g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + g**3 + 4*g**2 - 3*g**3 + 12*g + 0 - 4. Let n = -54 + 50. What is the units digit of c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 1464*w + 1460 = 0. Calculate w.\nAnswer: 1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-2145)*-825*4\/(-1450)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 3:01 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/265, -6, 23.8 in descending order.\nAnswer: 23.8, 2\/265, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -30 + 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/735 and ((-644)\/(-343))\/((-66)\/7).\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315 + 157 - 572*z**2 - 211*z**2 + 158 to h*z + n + p*z**2 and give p.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 11*d**7\/210 + 9*d**6\/40 + 130*d**3 + 1847*d**2. Differentiate x(i) with respect to i.\nAnswer: 44*i**3 + 81*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6 + 8 + 9*b - 4*b. Let i be o(4). Suppose 2*w - i = -4*f, -w + f + 61 = 2*w. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-29 + (-23 - -12)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -31?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + r**5 - r**2 - 12*r**3 + 3*r**5 + 4*r**2 = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r + 24. Let j(u) = -10*u + 12. Let a(t) = 7*j(t) - 4*p(t). Differentiate a(i) with respect to i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13 or -65?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + -0.11. Put w, 4, -3\/4 in increasing order.\nAnswer: -3\/4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3919\/24 less than or equal to -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = -3*l + 2*l, -3*x + 15 = 0. Let w be ((-18)\/(-8))\/(l\/8). Let s be (w\/15)\/(4\/40). Solve 3 + s = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*w - 2*w - 44 = 0, -2*w = -o - 4. Let r = o - -17. Suppose -67 + 22 = -r*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -250, -390, -536, -688, -846?\n\"Answer: -3*u**2 - 125*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 18*h + 51. Suppose -5*v + 8 = -5*u - 22, v + 6 = -u. Determine y(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285759, -285751, -285743?\nAnswer: -285735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*q = 18, -4*o + 197 - 29 = -26*q. Which is the closest to 1? (a) -0.2 (b) o (c) -2\/11 (d) 0.159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 25*c - 1. Let o(b) = -b**2 - 132*b - 1. Let a(v) = 5*f(v) + o(v). Suppose 17 = 3*k - 2*t + 38, 0 = 4*t - 12. Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h - 1. What is the remainder when (-168)\/196 - 1224\/(-7) is divided by g(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Suppose 34 = 2*f + 22. Let x(j) = 5*j - 14. Let c(z) = f*v(z) + x(z). Give c(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5865.\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375029?\nAnswer: 3, 127, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 8116, 45 in descending order.\nAnswer: 8116, 45, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u*u**(-1)*u)\/u*u*u)**36)**49)**(2\/45) assuming u is positive.\nAnswer: u**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 246368729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 0*m + 4*m. Let l(r) be the third derivative of -11*r**5\/15 - 242*r**3\/3 - 9*r**2 + 17. Let g(y) be the first derivative of l(y). Give g(x(b)).\nAnswer: 88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -432.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -177c9d2d + -2?\nAnswer: -177c9d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 400*d**2 - 1085*d + 82. Give o(-136).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -22*m + 17*m - 5*d, 0 = -3*m - 5*d + 31. Solve i - m*t = 0, 0*i + 5*t = i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66600.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008))) + 2 + -2.\nAnswer: -12*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 2. Let m(d) = 5*d + 1. Give 5*m(y) + 4*w(y).\nAnswer: 9*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.302, 802, -11.\nAnswer: -11, -0.302, 802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 5*j. Suppose 0 = -j*c - 1 - 5. Put -4, 0, c in increasing order.\nAnswer: -4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932468 to the power of 1\/2, to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 9 + 26. Let r(j) = n - 3 - 5 + j**2. Let x(m) = -6*m**2 + 6. Let u(l) = -22*r(l) - 4*x(l). Determine z so that u(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**2\/2 - 2. Let c(k) = 128*k - 65*k - 54*k. Give l(c(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from aoxopowoaopoogo.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/6 - 1145*z**3 - 3436*z**2 - 10309*z\/3 - 2291\/2.\nAnswer: (z - 6873)*(z + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*m + m**3 + 46*m - 254*m - 3*m**3.\nAnswer: -2*m**3 - 271*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 - 0 - (-3 + 1 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/32 + (-1262)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*4026335\nAnswer: -1852114.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u = 0. Suppose -4*w + u*v + 4 = 2*v, 2*w + 5*v = 10. Solve w = 4*z - 2*n + 22, -2*n + 7 = -2*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 52. Suppose 5*l = -k*q + 1535, -3*l + 925 = -4*q + 5*q. Suppose 0 = -6*t + 87 + l. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2053 - -3933. Solve 1884*p = v*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let o(q) = 2335904*q. Calculate o(z(i)).\nAnswer: 2335904*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 13*h**2 + 7*h - 9. Determine s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 490.\nAnswer: 1, 4, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + b**2 - 4*b - 3. Let q be g(-3). Let n be ((-4)\/(-6))\/(6\/q). Let r(i) = 0*i - 4*i + 2*i - 1. What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 3*t - 25. Let d(u) = -4*u**2 + 4*u - 37. Let y(s) = 5*d(s) - 8*g(s). Let h(o) = -6*o**2 - 6*o + 23. What is -5*h(q) + 8*y(q)?\nAnswer: -2*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, r: 7, h: 2}. What is prob of picking 1 r, 1 h, and 1 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + 0 - (-27 - -30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z**(-1\/5))**(-1\/4) assuming z is positive.\nAnswer: z**(-1\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a. Let w(h) = 2*h. Let z(r) = 21*r - 15*r - 8*r. Let b be ((-6)\/5)\/((-3)\/10). Let f(c) = b*z(c) + 5*w(c). Give t(f(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26959? (a) -2 (b) -4\/5 (c) 5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 19 = -4*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + 3 + -3 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4462738778 to the nearest integer?\nAnswer: 66804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, -16, -83, -210, -415, -716, -1131?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 148.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 z, and 1 t when four letters picked without replacement from lznltltzl?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -397 and -4022.4?\nAnswer: 1596892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2604860 and 4170.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3577 + -25040\/7. What is the biggest value in 6.2, 8, i, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 385, 445, 535, 655, 805, 985, 1195?\n\"Answer: 15*v**2 + 15*v + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.272922 decades to months.\nAnswer: 752.75064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -2. Let f = 79210\/3 + -26104. Let v = -300 + f. Which is the third biggest value? (a) 0 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3281*n - 1679973. Calculate p(512).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 26*s**2 - 294*s + 540 = 0.\nAnswer: 30\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*v**3 + 13*v**2 - 13*v**2 - 37*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1462*b**2*x**4 + b**2 - 172*b - 219*x**4 - 5 wrt x?\nAnswer: -5848*b**2*x**3 - 876*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 21. Suppose 4*u = -3*o + 96, -80 = -2*u - q*u + o. Find the second derivative of -6*t**2 - 27*t + u*t + 10*t wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 6. Let a be 0*(3\/1 - 2). Suppose a = 5*m - 4*m. Give o(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-345)*(-30)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47\/6479 - 15\/209. Which is smaller: u or 95?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 104, 153, 204, 257?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 473631885 to the power of 1\/2, to the nearest integer?\nAnswer: 21763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + sqrt(76)*-4*4 - sqrt(76) - sqrt(76)))\/(-2*sqrt(324) + sqrt(4)).\nAnswer: -18*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, -2185 in increasing order.\nAnswer: -2185, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 12*p - 11*p + 14, -37 = 3*j + 4*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m + 30 = 0. Let c = m + 11. Solve -4*d - c = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)\/i*(i\/(i\/i**(-4\/3))*i)\/i*(i**(1\/3))**(8\/9))**(-2\/37))**(1\/4) assuming i is positive.\nAnswer: i**(95\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1244 + -4?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8 = 4*n, 0*n + 11 = 4*g + n. Suppose 2*y + 7*u = 3*u - 20, 2*y + 5*u + 25 = 0. Let p = -1 - y. Put p, g, 3 in increasing order.\nAnswer: p, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190702.2cm in millimeters?\nAnswer: 1907022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205687910*h - 222911489?\nAnswer: 205687910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 o when three letters picked without replacement from {x: 2, v: 2, r: 2, o: 1, n: 5, f: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/(b*b**(1\/4)))\/b)**(-1\/16)\/(b*b\/(b**2\/b*b))**33*(b**(2\/7))**(-39\/5)\/(b\/b**1*b\/(b*b**5)) assuming b is positive.\nAnswer: b**(6103\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*-104\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3250 is divided by 170?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -13*z**5\/20 + z**4\/24 - 1267*z**2. Let u(n) = 77*n**2. Give b(u(v)).\nAnswer: -231231*v**4 + 77*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187.7 and -0.64.\nAnswer: -120.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*y - 446 = 1520, 3*y + 1961 = 4*f. Is 49 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 9 = 9. Let c(b) = 3*b**2 + 3*b - 6. Let q(z) = -4*z**2 - 3*z + 7. Let m(f) = d*q(f) - 3*c(f). Determine x, given that m(x) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 3934*y. Let q(w) = -w**2 - 983*w. Determine -18*q(t) - 4*r(t).\nAnswer: 2*t**2 + 1958*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 + 2. Let w(g) = -9*g**2 - 5. Let o(z) = 7*r(z) + 3*w(z). Let k be o(-1). Let t = -4 + k. Calculate the greatest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -331 + 60325?\nAnswer: 56664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4073 - -4073.583. Round u to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (402\/(-536))\/(108\/8)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 12*w**2 - w - 3. Let y be i(8). Let d = 459 + y. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 4.\nAnswer: -155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -628, 0, -5 in increasing order.\nAnswer: -628, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/12 - -15)\/(1273\/1140 + (-15)\/12)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 80830041.\nAnswer: 323320164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16 and -39\/1187653.\nAnswer: 19002448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.065 + 1.125. What is t rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -5. Suppose -i + a*t = 2*t + 3, -5*t = -i - 24. Calculate the remainder when 31 is divided by 2\/i - (-1110)\/135.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, j: 2, y: 8}. Give prob of sequence yyjy.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -569*i**6\/2 + 5*i**3\/3 + 65*i - 654. What is the third derivative of j(t) wrt t?\nAnswer: -102420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(-106))\/(26\/(45240\/(-29)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 57. Is k(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/41)\/(288\/(-6372)). Let p = b + 4465\/984. Find the common denominator of p and (-57)\/30 + (-2)\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 less than -13?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -21, 0, 41, 108, 207, 344, 525?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7213, -14421, -21629?\n\"Answer: -7208*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24543?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 68 = -698. Let j = c + -82. Calculate the highest common divisor of 132 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 11*k**2 - 1\/180*k**5 + 0 + 0*k**3 + 1\/36*k**4 + 0*k. Suppose n(h) = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (236 + -231).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - v - 210 = -4*s, -2*v - 351 = -5*s. Let g(y) = y**2 + 9*y - 8. Let o be g(-8). Let x = o + s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) -3 (c) 6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53229 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilvi when four letters picked without replacement from {i: 5, v: 1, l: 2, h: 3, b: 1, d: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1412423888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 315288 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31458 and 33?\nAnswer: 346038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 400651, 801743, 1203277, 1605253, 2007671, 2410531, 2813833?\n\"Answer: 221*a**2 + 400429*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**3 + 2525*c**2 - 6474444.\nAnswer: -30*c**2 + 5050*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -9*c + c. Are c and -35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - 25*h**2 + 46*h**2 + 254 - 11*h**3.\nAnswer: -11*h**3 + 7*h**2 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 7*c. Let z(u) = -u**2 + 8*u - 1. Calculate 4*h(q) + 3*z(q).\nAnswer: q**2 - 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25214977?\nAnswer: 1297, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10211 (base 3) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:39 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018854 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1703\/4 + 2\/8. Suppose 0 = 3*o - 1035 + m. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25434 and 2512?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1563 - -1568. Sort 0.1, d, 1\/30 in descending order.\nAnswer: d, 0.1, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308525308?\nAnswer: 2, 7, 13, 241, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - (-6)\/4. Let v(b) = -4*b**2 + 3*b**w - b**2. Let r(i) = -15*i. What is v(r(t))?\nAnswer: -450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11520 and 26496.\nAnswer: 264960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/(-98)*420\/48.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 574.8 + -619. What is g rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, 3, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872080962 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 v(l) = 3*l - 2. Let o be v(3). Let d = 11 - o. What is the smallest common multiple of d and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*m = m - 13, d + 9 = -2*m. Suppose 21*t - 24*t + 81 = 0. What is the remainder when t + 3 + -2 - d is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 4*l - 39. Let t be d(-5). Which is greater: t or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 16 + 6 = -5*a, 6 = -4*g + 5*a. What is the second smallest value in 0.005, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 775485 - 488314. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4830*z - 403 + 4788 - 163 + 5*z**2 + 5418 = 0?\nAnswer: -964, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 32. Put y, 2, -5 in descending order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-5)*(v\/((v**(-1\/8)*v)\/v))\/v*v*v*v**0*v*(v\/(v\/(v*v**7*v)))\/v*(v*v\/((v**0\/v)\/v))**33*v\/v**(4\/9)*v\/((v\/(v**(-2)\/v))\/v) assuming v is positive.\nAnswer: v**(9985\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, -606.\nAnswer: -606, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*z = 3 + 15, 2*z = -4*o + 30. Suppose -4*u + 5*m + 212 = 0, o*m - 3*m = 4*u - 220. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2331*c**3 + 17*c**2 + 2*c + 26. Let g(n) = -1165*n**3 - 8*n**2 - n - 12. What is 13*g(y) + 6*k(y)?\nAnswer: -1159*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2240*v + 2. Let g(t) = -8*t**2. What is b(g(p))?\nAnswer: 17920*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -e682 (base 16) to base 4\nAnswer: -32122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367571 - -154142. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 410165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22793*p**4*x**2 - 67*p**4 + 228*p*x**2 - p*x + 1401*x**2 wrt p?\nAnswer: 273516*p**2*x**2 - 804*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5590242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19460 divided by 10?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1627, -3255, -4883?\n\"Answer: -1628*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 3626628.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 + -21 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q - 54. Let l be (-156)\/q + (-4)\/(-18). Let v = 15 - l. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1871316 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = 5*p - 236 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3965 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1 - 6) + 3. Let l(q) = -3*q + 1 + y*q**2 - q - q**2. Let c = -29585 + 29579. Calculate l(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -6\/13 (b) 3 (c) 3\/2 (d) 15 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 416101267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 854 + -840. What is the third smallest value in w, -4, -6\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 16390 = 29*n. What is the remainder when n is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Which is the closest to -4? (a) s (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2*u + 9)*(-252 - 487 + 192).\nAnswer: 1094*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -127c5?\nAnswer: 127ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1199960, -2399888, -3599816?\n\"Answer: -1199928*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2626 + 13574*u**2 + 2626)*(-4*u**3 - 3*u**3 + 4*u**3).\nAnswer: -40722*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from wwwmwmwwkkwkwfwwwkw?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/799564 and 77\/7332.\nAnswer: 31182996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 554971 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*v + 69*v - 264*v + 10*v**2 + 95*v.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 489713 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 + 2*z**2 - 4*z - 4. Let v be 8 + 0 - (-6 + 10). Let h(f) = 3*f**3 + 2*f**2 - 3*f - 3. Determine v*h(p) - 3*k(p).\nAnswer: 3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -2, -3\/7, -3117 in descending order.\nAnswer: 2, -0.3, -3\/7, -2, -3117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6205794295 + 0*b**2 + 6205794295 - 53*b**2.\nAnswer: -53*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. Let z(s) = 10*s**3 + 2*s**2 + 4*s + 6. Let k(a) = 4*t(a) - z(a). Let l(w) = w**2 - 4*w - 2. Let g be l(4). Is 8 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(154)\/(sqrt(11) - sqrt(99)) - sqrt(14))\/sqrt(1008))**2.\nAnswer: sqrt(2)\/2 + 129\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*v**3 - 4063*v**2 + 19*v - 131 wrt v.\nAnswer: -36*v - 8126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2 - ((-42 - (8 + -8)) + (23 - 29))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 - 5*h**2 + 6*h**2 - 2*h**4 + 4*h**4 wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**6\/15 + d**3\/3 - 6*d**2. What is the first derivative of g(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**34*i\/i**11*(i*i**32)\/i*i**(-5) assuming i is positive.\nAnswer: i**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q - 1. Let b(x) = 51*x + 4. Let v(s) = -2*b(s) - 7*d(s). Suppose -3*n = 3*f + n - 8, -11 = -3*f - n. Is v(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10128)\/616)\/(1\/(-56)*-2). Let m = -485605\/1056 - d. What is the common denominator of m and -41\/60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {n: 5, e: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292695.\nAnswer: 3, 5, 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -6. What is the remainder when 81 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/140)\/((-41)\/(-410))*(-1)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16865 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8672 minus -4?\nAnswer: 8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3216060 + 0?\nAnswer: 3216060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 15*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/15 - 18532*n**2\/15 - 37058*n\/15 - 6176\/5.\nAnswer: -2*(n + 1)**2*(n + 9264)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + -2 - -3) + -2 + 0 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2 - 2 - 2*x - 3*x + 4*x. Let a be m(-6). Suppose 0 = a*d + 2. Sort 5, d, -4.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 6 + 2*i - 5*i + 1. Let s be z(-5). Suppose -2*h = 2*k - 14, -s*h - k + 4*k = -29. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*h + (1 + 2 - 4)*(-h + 6*h - 3*h))*(1 - 2*h - 1)*(38*h - 73*h - 39*h).\nAnswer: 148*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 57 + 57.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 2091?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2895 and 15546?\nAnswer: 15001890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 46 - 196 = 315. What is the remainder when 566 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 674\/10 + 0 - 6\/15. Suppose m = g + l, -g - 3*m - 51 = -0*m. What is the lowest common multiple of 10 and 2\/(-9) + (-1400)\/g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:09 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 21 - 15 + 6*y**2 + 53 - 3*y + y**2.\nAnswer: 7*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 + 2*v**2 - 4*v**2 + 1 - 1 - 4*v**2 + (-9 + 5 - 10)*(v**2 - v**2 - 2*v**2).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 9*p + 30. Give z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1298924 divided by 324731.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 6. Let f be 2\/(-35) + ((-7)\/(-42))\/(160\/192). Put 0.096, f, g in descending order.\nAnswer: f, 0.096, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 47*v - 1696 = -147*v + 75*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -56 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68021, 67189, 66357, 65525?\n\"Answer: -832*q + 68853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 34*g + 5. What are the prime factors of w(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 2, 1\/4, 5, 5\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5377979, -5377992, -5378005?\n\"Answer: -13*b - 5377966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -27. Suppose -c + 44 = -k - 3*k, -c + 35 = m*k. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + 4\/30*5. Solve 2*c - j - 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.8. What is the nearest to -2\/3 in 3, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3001, -12071, -27181, -48325, -75497, -108691?\nAnswer: -147901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2736) + (sqrt(2736) - (1 + (sqrt(2736) - (5 + sqrt(2736))))) - (0 + -2*(sqrt(2736)*-5 - sqrt(2736))))**2.\nAnswer: -240*sqrt(19) + 273601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = 9. Suppose -6*j + 3*j = -3*w + 21, l*j + 19 = w. Differentiate 5*f**3 - 2*f**w - 3 + 4 wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.28152 grams in nanograms?\nAnswer: 11281520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63c + 1?\nAnswer: -63b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001053 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*m + 4*u, 0 = -2*m - 4*u - u + 102. Let n(g) = -g**3 + 8*g**2 + 4*g - 1. What is the remainder when n(4) is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:55 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7296397 is divided by 70.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 1.9. Let r = -4 + j. Which is the closest to -2? (a) r (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 15*q**2 - 16*q + 8. Give j(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 2*m**2 + 4*m**3 + 1 - 3*m**3 + 3*m**2. Let r be d(1). Solve -a = 4 - r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-95) + (-4860)\/(-153900)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 7*c + 273. Let p = 40 + c. Put p, 3\/4, -16 in ascending order.\nAnswer: -16, p, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14916 divided by -4.\nAnswer: -3729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:39 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 494851061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -137*-744*22\/44.\nAnswer: 2, 3, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928508257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2134779 times 0.4\nAnswer: -853911.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + 6*h - 9. Let x be f(-7). Suppose -3*j - 3 + 0 = 0. What is the units digit of (-3 - -1)*(x + j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 74*g**4 + 5*g**3 + 8*g - 41. Let h(r) = 37*r**4 + 2*r**3 + 4*r - 20. Let n(x) = -5*h(x) + 2*w(x). What is the second derivative of n(p) wrt p?\nAnswer: -444*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(4\/(-6)). Let y be 578\/(-2*1) - i. Find the common denominator of (-6)\/(-5)*y\/32 and -119\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*l - 28. Suppose -5*v + 60 = v. What is the remainder when v is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -466 + 472. Suppose -3*r + 5*h = -1179, p*r - r - 2*h = 1965. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 20. Let c(z) = -z**3 - 7*z**2 - 8*z + 13. What is the tens digit of c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 428. Let f = 74 + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46966.\nAnswer: 2, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**2 + 36*y + 238.\nAnswer: -2*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56560603.\nAnswer: 11, 61, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4 + 5*c**2. Let o be t(-2). Suppose -3*m = -4*m + o. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/625, 0.1, -16, -1\/6, -6 in ascending order.\nAnswer: -16, -6, -1\/6, 0, 2\/625, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/13, 4463, -0.1 in descending order.\nAnswer: 4463, 2\/13, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -779*t**3\/3 - 525. Let h(o) = 8*o. What is h(l(m))?\nAnswer: -6232*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -90) + -2*1. Let u be 2\/5*(-50)\/(-4). Suppose i = u*g + 38, -4*i + 114 = 4*g - t. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -447, -350, -183, 60, 385, 798, 1305?\n\"Answer: x**3 + 29*x**2 + 3*x - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2300 + 2?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.63 - -20.37. Let h = g - 19. Let k = h + 1. Which is the third biggest value? (a) 2\/9 (b) -6\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + k)*(-3*k**3 - 2 + 2) - 2*k**3 - 82*k**4 + 13*k**3 - 11*k**3 in the form g + s*k**3 + u*k + r*k**2 + i*k**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 26*y**2 - 32*y + 29. Is v(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, -15, 8, -3 in decreasing order.\nAnswer: 8, 4, -1, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12309 divided by -1.\nAnswer: 12309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 5 + 10)*(-j + 2*j + 0*j) + (-3*j - 4*j + 4*j)*(2 + 0 - 1).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9)\/(405\/(-2))*5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2543 divided by -1?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 209360512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.2. Let z = b - 0.2. Let d = z - -1.000005. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 6:19 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (-7 - -9) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 4*k + 4. Let o be m(4). Suppose -5*t + 3*f + 56 = f, -4*t - f + 50 = 0. Calculate the greatest common factor of t and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a + 1. Let d be q(-1). Let t = 0 + d. Suppose -6 = -w - 69*i + 70*i, 0 = -2*w - 5*i - 9. Solve 10 = -4*r - r - l, w*r = -l - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(1008)\/sqrt(9)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 283, 573, 877, 1201, 1551, 1933, 2353?\n\"Answer: j**3 + j**2 + 280*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - (sqrt(1008) + 1 - sqrt(1008))) + 2 + sqrt(1008))*-6 + ((sqrt(1008) - sqrt(1008)*-2)*5 - sqrt(1008)) + 2)**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -7*i**5 - 12*i**4 + 11*i**3 + 12*i**2 - 4*i = 0.\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1687 and -0.3.\nAnswer: 1686.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**4 - c**3 - c**2. Let a(m) = -1049*m**4 + 4*m**3 + 5*m**2 + 776. Let y(d) = a(d) + 4*w(d). What is the third derivative of y(x) wrt x?\nAnswer: -25272*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z - 4*q - 4, z = q - 3. What is the nearest to 1 in -0.4, z, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315099 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:43 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -2*t**6\/15 + 19*t**5\/5 - 6*t**4 - 129*t. Let f(z) = 0. What is z?\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3191 - -0.0601. Let c = g + 0.2590098. What is c rounded to 7 dps?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474*1047135.\nAnswer: -496341990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - q - 10 = 3*q, 0 = 4*p + q - 4. Let m(d) = -2*d**2 - 3*d**2 - 2*d**2 + 2*d**p. Let b(o) = 4*o - o + 0*o. Calculate b(m(k)).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.452 - 0.332. Let k = -5.62 + z. Which is the nearest to -31? (a) -0.2 (b) k (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*d = -5*s - 10*d + 6*d - 63, 5*d = -6 + 1 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11577 and 11049.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 10. Let a = g + 21. Suppose 4*l - 3*h = h - a, 3*h = -5*l + 30. What is the highest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-801)\/9 - -61) + 85.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/11)\/((-344)\/1892). Let d be 4 - 1 - (-2 - -7). Suppose o = 4*g + 1, 3 = 4*o + 5*g - 1. Put 3, d, i, o in ascending order.\nAnswer: i, d, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 76.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/((-78)\/(-84)) - 2)\/2. Suppose 7 = -s + o, -4*w = 4*s - 236. What is the remainder when 356 is divided by w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5285115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1022851084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 2*q**5 + 3*q**5)*(63 + 8 + 1).\nAnswer: 144*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -10137407?\nAnswer: 10137413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:02 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168.96 + -169. Let u = 660.960005 - 661. Let x = u - m. Round x to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41582695?\nAnswer: 5, 7, 11, 108007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 6 - 13 - -2) + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4876244 millilitres to litres.\nAnswer: 0.0004876244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + 497. Find the third derivative of -537*g + o*g - 30*g**2 - 53*g**3 wrt g.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -36, 1, 2715, 9 in increasing order.\nAnswer: -36, 0.1, 1, 9, 2715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 4*h + 1. Suppose -4*o + 12 = -o. Let f be y(o). Let q be -1 - 1\/4*-2. Which is the closest to -2? (a) q (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/3 - 5*g**3 + 25*g**2. What are the prime factors of r(-26)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*sqrt(5)*2)**2 + 4 + sqrt(5)*-1)*6 + (-1*2*sqrt(20) - sqrt(20))\/(3*sqrt(36)).\nAnswer: -19*sqrt(5)\/3 + 1962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -3 (c) 3\/8 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 8. Suppose -2*m + a - p + 40 = 0, -3*m + 5*a = -71. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2355093 divided by 39?\nAnswer: -60387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.769 - 0.669. Put q, 0.2, 2\/23 in increasing order.\nAnswer: 2\/23, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224872486 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 27*o - 83. Give v(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f + 11. Let q be g(10). What is the units digit of q\/(-2) - (-45)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12*r - 2 - 8*r)*(-115*r + 242*r - 322*r).\nAnswer: -780*r**2 + 780*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -479*n + 4339. What is y(9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*t**2 + 481*t**2 - 962*t**2 + 65*t**4 + (-5*t**3 + t**3 + 3*t**3)*(-4*t + 4*t + t) to the form f + z*t**4 + s*t + v*t**3 + h*t**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*(-1 - -1). Suppose 0 = -s*q - 3*q - 3. Let f be (4 + 0 - -1) + q. Solve -c = -0 - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0934174695 to four decimal places.\nAnswer: 0.0934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1159 - 11539\/10. Let u = 25072 - 36027. Let r = 131569\/12 + u. Calculate the common denominator of p and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*t = -17, 3 = 3*c - 2*t + 2. Let i(h) = -3*h + c*h - 2*h. Let u(y) be the third derivative of 11*y**4\/24 - 2*y**2 + 17*y. Determine u(i(k)).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3457716997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 414*d**2 + 942*d - 22159. Determine i(209).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*j + 36 - 36)*(5 + 0 + 5)*(-j - 2 + 2)*(66*j - 66*j + 7*j**2) as f*j**3 + g + p*j**2 + l*j + d*j**4 and give d.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3396 + -1830. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/9 - 1442*v**2\/9 = 0. What is v?\nAnswer: 0, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)*s*(s**(-2\/7)*s)\/s)**(-3\/35)\/((((s*s*s*s**(1\/3))\/s)\/s)**43*s**(3\/8)\/(s**(-1\/5)*s*s)) assuming s is positive.\nAnswer: s**(-855461\/15288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.025, -5 in decreasing order.\nAnswer: 1\/8, -0.025, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*i - 26 = -8*i, -5*m = -3*i - 81. Solve -m = -2*h + 7*h, 3*h = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4360*g - 13191*g + 4504*g + 4330*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4 + sqrt(13) + sqrt(325) + 2*sqrt(832) - (sqrt(26)\/sqrt(2) + 5 - sqrt(13))*1*-4))**2.\nAnswer: 1144*sqrt(13) + 6968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -12*s + 17*s. Differentiate s*c**4 + 0 - 1 - 5*c**4 + 5 with respect to c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. Suppose 2 = o - 2*o. Let l be t(o). Let h = 0 + 2. Solve l = h*u - 5*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, z: 1, c: 1, n: 2, u: 1}. What is prob of sequence nz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -5.9 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -195.6453191176 and 0.1.\nAnswer: -195.5453191176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**8\/6720 - i**7\/840 + i**6\/180 + i**4\/12 + i**2. Let n(t) be the second derivative of m(t). What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193300607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 6. Let r(k) = -k**3 - 4*k**2 + 5*k + 9. Let d be r(-5). Let a = d + -4. Let c be u(a). Calculate the highest common factor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-252) + (-371)\/(-637) and -67\/28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -4\/827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208417 = 80*s - 123103 - 935234. Calculate the greatest common factor of 256 and s.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -111727*a. Let l(c) = c**2. Determine l(t(u)).\nAnswer: 12482922529*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*w**2 + 4*w**4 + 304 - w**2 + 46*w + w**2 - 86*w wrt w.\nAnswer: 16*w**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 16 - (-16)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - (78 + -6)) + -2 + (-2 - -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 91?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 + 4. Let g(w) = 5*w**2 - 3. Let n be 5 + 12*(-12)\/16. What is n*c(x) - 5*g(x)?\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100925831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 - 2*i + 3. Let s be a(5). Let g(v) = v**3 + 6*v**2 - 8*v - 2. Let h be g(s). Solve 0 = 3*j - j + 2*u - 10, -h*j + 5*u + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62623, 125119, 187615, 250111, 312607, 375103?\nAnswer: 437599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 - 2*f - 29. Let b be n(-12). Let k be b\/(-6)*-40*-75. Suppose g + 2*m + 121 - k = 0, -g - 3*m = -2377. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2531.74 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 greater than or equal to 431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655.126nm to centimeters.\nAnswer: 0.0000655126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -252*q. Let f(u) = 4*u - 13*u - 7*u - 7*u. Let v(c) = -54*f(c) + 5*w(c). Let n(s) = s**2. What is v(n(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17864368 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + h**2 + 0*h**2 + 7*h**2 + 0 + 0 - h**2 + (4*h**2 + 0*h**2 - 3*h**2)*(-2 - 2 + 3) as n*h**2 + w + d*h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 3*k**3 - 4*k**3 + (0 - 2*k + 0)*(205*k**2 - 649*k**2 - 225*k**2) in the form z*k**3 + h + j*k**2 + g*k and give z.\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**5\/7 + 1263*x**4\/7 - 96948*x**3\/7 - 150117*x**2\/7 + 146976*x\/7 + 98820\/7 = 0 for x.\nAnswer: -270, -2, -1\/2, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -27*w**4\/4 + 2*w**3\/3 - w**2\/2 + 1946. Give r(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-4)*(-45 - 669\/(-15))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*g + 3*c - 1133 = -67*g - 0*c, 0 = -4*g + 3*c + 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 26 (b) -0.5 (c) -4\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 7*m - 5*p = 150, 0 = -5*m - p + 202. Calculate the remainder when 144 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:40 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6781893 months to decades.\nAnswer: 0.0056515775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 4:17 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013114?\nAnswer: 2, 617, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.3. Let w = -15.7 + 15.6. What is the nearest to w in -5, v, -1.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395?\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*j - 44*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t = 5435 - 10637 + 5298 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144268 and 64.\nAnswer: 2308288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-4\/5)\/v)\/v)**(2\/17)\/(v**(-10)*v**(-4)))**(-19) assuming v is positive.\nAnswer: v**(-22268\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(-25) + (-2)\/(-10). Suppose 26 = a*l - 3*l. Let r = l + -3. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19405 - 11962. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 26026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663273.\nAnswer: 3, 13, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 11. Let l = 5 - 11. Let p be x(l). Solve p = -6*m + m, b + m = -1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/5 - 1252*h**4\/5 - 2232*h**3 - 33372*h**2\/5 - 33318*h\/5.\nAnswer: -2*h*(h + 3)**3*(h + 617)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*j + 731, g + 4*j - 239 = -0*g. Is g - -5 - (2 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*b + 0*b + 15*b)*(2*b - 1 + 1 - 4*b + 3*b + 3*b + (-b + 3*b - 4*b)*(3 - 2 - 3)) + 0*b**2 - 4*b**2 + 5*b**2.\nAnswer: 249*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 3. Let a(p) = -6*p + 12 - 13 + b*p. Determine a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1766 - 1328. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrd when three letters picked without replacement from rdder.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let f be o(2). Suppose -8*d = -3*d - 40. Let z(l) = -4*l**2 - l**3 + 2 + 6*l - 9*l + d*l**2. Determine z(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 3*w + 4. Let n be l(3). Let r = -8 - n. Let s = r - -6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 11, 18, 39, 80, 147?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1101314421113?\nAnswer: -1101314421110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 982.4622l?\nAnswer: 982462.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*m + 19 + 16, -3*r + 63 = -3*m. Let i = -10 - m. What is the highest common divisor of i and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*n - 138 = n, v + 4*n + 46 = 0. Let o = -20 - v. What is the smallest common multiple of 6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. Suppose 66 = j*o - o. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -53)*(2 + 6)*(276\/40 + -7)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -121. Is -2\/81 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 34*s = -71 + 487 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28626 is divided by 2975?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 1:59 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-16) + 2)\/(-30 + 2925\/100)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 9*v**2 + 6*v - 6. Let q(b) = -4*b**2 + b. Let h be q(-1). Is 18 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844810 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -147, 1, -14.44, -3\/5, -0.2, 14\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:05 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -0.008.\nAnswer: -2, -0.008, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k + 16. Let y(v) = -v + 3. Let b(j) = j - 5. Let n(w) = -2*b(w) - 5*y(w). Calculate -5*l(r) - 16*n(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*g - 25, -4*m - 2*g + 5 = -m. Let o = -111 - -113. Let l(u) = -42 - 3*u + o*u + 41 + 4*u - 2*u. Give l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/12 + (-155)\/36 and 91\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/5 - 28482*c\/5 + 170928\/5 = 0.\nAnswer: -28488, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4399*s**2 - 6*s + 5. Let b = -1 + 6. Let j be q(b). What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/27)\/(60\/90). Let u(t) be the first derivative of -1 - 2\/3*t + 0*t**2 + o*t**3. Factor u(s).\nAnswer: 2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -70062.\nAnswer: -19\/70062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 928 and 366415?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1081*k - 37. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/p**(3\/5))\/(((p\/(p**(-6)\/p)*p)\/p)\/p*p**(-3))*(p*p**(-4\/3)*p*p*p**(-3\/5)*p)**35 assuming p is positive.\nAnswer: p**(2017\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252506 + 3?\nAnswer: 252512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 17*o**2 + 40*o + 49. Let u be b(-19). Let v be (-2)\/3 + 24\/9. Solve -3*i - u + v = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d - 2*o = -8, -2*d - 3*o + 12 = 0. Suppose d = -2*i + 2*b + 26 + 30, i - 8 = -3*b. Which is bigger: i or 73\/3?\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -12*t - 0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 951*r - 5713. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 504646 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = 6*f. Suppose h + 3*k - f = 31, -h = k - 63. Suppose -4*s - x + h = 0, -3*x - 27 = -2*s + 2*x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -2.06.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*m - 4*m - 166, -4*z + 146 = 2*m. Let c = 7 - -4. Calculate the remainder when z is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 29 = -5*p, 3*p - 1 = -4*m - 2. Let t(o) = 7*o - p*o**2 - 7*o. Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 3. Let y be n(7). Suppose 25 = 4*s - 0*s - 5*o, -5*o + 15 = y*s. Let g(u) = 5 - s*u + 4*u - 4. Let z(b) = -1. Give -2*g(h) - 3*z(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -65*x + 532. Let g be y(8). What is the greatest common divisor of 176 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 156, 713, 1650, 2967, 4664, 6741, 9198?\n\"Answer: 190*h**2 - 13*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4773, -4\/3, 0.5?\nAnswer: 4773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o)**(1\/8) assuming o is positive.\nAnswer: o**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 46. Suppose -5*p + n = -3*p. Find the third derivative of 9 - p - 4*j**2 + 4*j**4 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3649 - -3652. Solve 6 = -4*c + 9*c + d*p, -2 = -2*c - p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 + -5 + 3\/((-6)\/8). Suppose 3*w - 5*l + i = 0, 2*w + 3*l - 4 = 19. Suppose w*u + 96 = 5*f + 3*u, -f + 8 = -3*u. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(170)\/(sqrt(60)\/(-3*sqrt(6))) - 6*(sqrt(17)*-3)**2*-3).\nAnswer: -3*sqrt(17) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -5*y**6\/6 + 12*y**5 - 25*y**4\/4 - 350*y**3\/3 + 90*y**2 + 440*y - 13556. Determine o so that m(o) = 0.\nAnswer: -2, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 69*u**2 - 562*u + 884. Give v(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 31 + 5*b)*(-3*b + 0 + 0 + b - 5*b + 3*b + (-3*b + b + 0*b)*(-2 + 1 - 1) + 0*b + 0*b + b) to t + s*b + g*b**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*x + 20*x - 1 - 102*x - 1355*x**3.\nAnswer: -1355*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1619177061 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274166 - 274297.4431. Let n = -0.0569 + l. What is n rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.04, 0, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 2 + 1 - 17. Let p be s(-8). What is the tens digit of (12\/p)\/((-13)\/390)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1067 + 0.0851.\nAnswer: -1066.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -4.5 (c) 7 (d) 2\/13 (e) -0.294 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - w**2 + w. Let x be j(1). Let h = 7 + -5. Solve g = -h - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344176.\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 - 3589\/17. Let c be -2*(-2 - (2 - 3)). Let g(m) = 2*m**2 - 4*m + 3. Let u be g(c). What is the second biggest value in r, u, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivmifpzmpifmpzmv. Give prob of sequence vziz.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (112\/(-14) - 294\/(-37))*-1. Let m = 1.1 + -5.1. Put m, 4\/7, p in increasing order.\nAnswer: m, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -34199*w**2 - 17910*w - 69. Let r(t) = 5700*t**2 + 2985*t + 12. Let z(f) = -23*r(f) - 4*s(f). Find the second derivative of z(b) wrt b.\nAnswer: 11392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19084, 19124, 19164, 19204?\n\"Answer: 40*o + 19044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 26.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -24. Solve m = -y*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(64))\/(sqrt(3) - ((sqrt(27)*-1 - sqrt(27)) + sqrt(3))).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/80 or 7.8?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4*(-3)\/(-2). Let s = 9 + -6. Let -2*k**5 + k**2 - 5*k**s + c*k**3 + k**2 - k**4 - k**4 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 10404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311.491mg to tonnes.\nAnswer: 0.000001311491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3 + 4 - (-247)\/(-38)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.0086 + -67. What is t rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.87 - -19.63. Let v = 21 - s. Put 2\/21, v, -1 in ascending order.\nAnswer: -1, 2\/21, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3155)\/45 + (-15 - (163\/(-9) + 2)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -20. Suppose -j*f + 2*f = -12. Suppose 0 = 5*n + 2*l - 1285, -f*n + 0*l - 3*l + 771 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, -5, 2\/5, 64.6088 in increasing order.\nAnswer: -5, -3, -0.2, 2\/5, 64.6088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*t + 63, -m + 0*m = -2*t + 21. Let h = -4 - m. Let s = h - -9. Solve -3*q - s = -q + 5*c, -20 = 5*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18580*x**2 + 21825*x**2 - 2 + 2 + 54157*x**2 + (-x + 2*x - 3*x)*(-x + 2*x - 2*x) to g*x**2 + o*x + l and give g.\nAnswer: 94564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let k = o + 10. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(209)*1 - sqrt(209))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (26 - (-2184)\/(-28)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -686138343*q**2. Let o(v) = v**2. Calculate d(o(y)).\nAnswer: -686138343*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -90*g - 7. Let h be b(-1). What is the highest common divisor of 581 and h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10637 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: Calculate the common denominator of 68\/245 and (9\/3)\/3 - (-3933)\/(-6650).\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2) - (36\/6 + -9). Solve -t*p = 13 - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48432 divided by -272\nAnswer: -3027\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 29, -5, -16, 3, 1 in decreasing order.\nAnswer: 29, 4, 3, 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - 105. Solve h - p - a + 5 = 0, 4*h = p - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1480924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2*u - 4, -5*p + 4*u + 0 = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 7)\/(1 - 0). Suppose q*d + 8 = 2*d. Let y be 0\/(6 - (7 - d)). What is y rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*v + 3 = 0, 4*v = 4*j - 0*j - 24. Suppose j*f + 30 = 4*g + g, -2*g + 15 = -5*f. Suppose k + k - i = 25, -4*k + g*i = -65. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86357517 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*g + 9*g. Put -18, 0, g in descending order.\nAnswer: g, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(2700) + 1) + 5)**2.\nAnswer: 900*sqrt(3) + 67509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 4:54 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 50. Suppose 3 = 7*i - 6*i. Let s = i + r. What is the least common multiple of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.96212 years in millennia?\nAnswer: 0.02996212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 8080936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 17, 3 in ascending order.\nAnswer: -37, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3915 = -3*k, 23*k - 2606 = 21*k - 2*s. Calculate the remainder when k is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-77)*2\/16*14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03182 times -0.03\nAnswer: -0.0009546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*z + 52 = 0, -v + 0*v = 3*z - 8. Let n = -9 + v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -28 (c) -0.5 (d) -3 (e) -21917 (f) 3\/16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from hihhihhhhhhiihiihhh.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 465077080 a multiple of 1835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-15930)\/(-236)*(-2)\/12 and 43\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k + 30. Let s = 18 + k. Let f(j) = -10*j - 147. What is the remainder when s is divided by f(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7072)\/(-105196)*(-28)\/48.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1950\/(-1350))\/((-377)\/1334)\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-74714\nAnswer: -74713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + 0)**2 + -5.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-38))\/(35\/(-28)). Let y = c + 374\/285. Factor -2*w + 2\/3*w**2 + y.\nAnswer: 2*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4751\/636 + -218\/53. Find the common denominator of (0 - -2) + 7\/(-28) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10255 and 3809.\nAnswer: 133315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*o + 51 + 23, -5*i - o = -370. Calculate the greatest common divisor of i and 1850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 + 83 + 171 - 29 + 2*s.\nAnswer: 2*s - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*w - w + 4*g, 4*g = 32. Calculate the greatest common divisor of w and 7168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10972122*m**3*o - 282*m**3 + 2*m**2*o - 37928*m**2 wrt o.\nAnswer: 10972122*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -67. Suppose -2*h + 0*h + 106 = l. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (0 - -3))\/(5\/(-10)). Suppose -k*j + 282 = -290. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22279367 minus 9288?\nAnswer: -22288655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-1 - -14) + -960 + 943\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 201*o + 8838. Give p(-44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9)*(3 - 36). Suppose -a*o - 84 = -4*o. Let k = o + 89. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1. Let q(l) = 7. Let d(a) = -6*b(a) + q(a). Let n(h) = -8*h - 55. Let o be n(-7). Let r(j) = j + 1. Determine o*r(s) + d(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/61))**11)**21 assuming h is positive.\nAnswer: h**(13629\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffaafwwuffiffa. Give prob of picking 1 u and 1 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421701?\nAnswer: 3, 7, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 51 - 4*o**3 - 111 + 5*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1034 + -1051. What is the third biggest value in 0.2, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4)*(-584)\/28. Let b = y - 44\/7. What is the common denominator of -75\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3) + 5)*-1. Let p be (g\/(-3))\/(6\/9). Find the second derivative of -f**5 - f**5 + p*f + 0*f wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-30 - (-1001)\/33)\/((3\/(-220878))\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 85*g**2 + 0 + 1.\nAnswer: -77*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 2 - -2 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*w - 2, 2*w + 2*w - 3*v = 20. What is the third derivative of -27*x**5 - 2*x**2 - 157*x + x**w - 10*x**5 - 19*x**5 wrt x?\nAnswer: -3360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 5*u)*(-15 - 10 - 9)*(3*u**2 + 4*u**2 + 2*u**2)*(-5*u + 3*u + 3*u)*(2 + 0 - 1).\nAnswer: 306*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2777418 by -402.\nAnswer: -6909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060687061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1614? (a) -5 (b) 7\/6 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 86*t - 1. Let b be v(-1). Let s(c) = -7*c - 6. Let i be s(6). Let a = i - b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-280)*(-14)\/(-12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 4*k**2 + 3. Let f be v(-4). Suppose f*a - 3 = -3*u, -3*a + 3 = -u - 2*u. Let m(c) = -3 + 6*c + 1 + 2 - 1. Determine m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2838347470 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*s**2 + 181*b**3*x**4 - 85*b**3*x**2 - 2*b**2*x**2 - 3*b*s**2*x**4 wrt x.\nAnswer: 4344*b**3*x - 72*b*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21 - 1)\/((-232)\/5452)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 21*m + 15. Is n(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -59. Let x = -138 + k. Calculate the greatest common factor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11647, -23285, -34921, -46555, -58187, -69817, -81445?\nAnswer: -93071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5*t - 20 = 0, -6*a - 30 + 22 = -2*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let c = 1073 - 1067. Let p(t) = 5*t**2 + 8*t - 4. Let a(v) = v**2 + v - 1. What is c*a(h) + s*p(h)?\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1866*n + 949*n + 2*n**3 + 917*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/9)\/(115\/483) + 13\/(-2). Suppose -3*c = 0, 4*m + 2*c - 4 = 4. What is i in -u*i + 1\/4 + 1\/4*i**m = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 + 5 = 0. Let o = 0 - -8. Suppose 2*a + o = 6*a. Sort m, -3, a in descending order.\nAnswer: a, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88560475 to the power of 1\/2, to the nearest integer?\nAnswer: 9411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122420 - -860207\/7. Let t = p - 467. Which is the smallest value? (a) -4\/3 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 0.59.\nAnswer: -24.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441560310.\nAnswer: 2, 3, 5, 1543, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-8))\/((-15)\/(-20)). Suppose 0 = 2*o - s*u - 108, 0*o + 5*u = -5*o + 270. Let f = o - 36. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 856.0223 centuries?\nAnswer: 8560.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -41 - 10) + (0 - 73)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14994 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a**2*v - 43785*a**2 + 1658*a*v - 9*v + 6 wrt v.\nAnswer: 5*a**2 + 1658*a - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83014.15771 plus -0.26?\nAnswer: -83014.41771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -102 + -35 + 130?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - f + 3. Let x(g) = 269*g**2 + 6*g + 130. Let t(v) = 6*a(v) + x(v). Find the first derivative of t(w) wrt w.\nAnswer: 550*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 4*r**5 + 3*r**5 + (-1 + 0 + 2 - 3 + 6 + 1 + (-1 + 1 - 1)*(-4 - 1 + 2) - 1 - 3 + 2)*(413*r**4 - 413*r**4 - r**5).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/126 + a**3\/9 + 4*a**2\/7 + 17*a. Factor z(r).\nAnswer: 2*(r + 3)*(r + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 38*h**2 + 2*h - h**2 - 2*h. Let n(f) = -2*f. Let r(c) = -2*c. Let w(o) = -5*n(o) + 4*r(o). Calculate q(w(b)).\nAnswer: 148*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f - f)*((-1 + 1 - 1)*(0 + 3 - 5) + 6 - 8 + 3 + 0 + 6 + 1).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9633325.\nAnswer: 5, 13, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/8, 3\/8, -17.8, 0.3 in decreasing order.\nAnswer: 3\/8, 0.3, -3\/8, -0.4, -17.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8856 and 680022?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 2*j - 5. Suppose -32*i + 30*i - 352 = 0. Let q = -73 - i. What is the remainder when q is divided by x(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2827)\/(-3))\/((-1)\/3). Let p = -11272640 + 349364190\/31. Let v = o - p. What is the common denominator of v and -18?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 785. Let a(y) = -3*y + 2675*y**2 + 2*y - 2677*y**2 + y. Give a(r(i)).\nAnswer: -8*i**2 - 6280*i - 1232450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -53450000 to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -334.96 - -335. Which is the third smallest value? (a) -0.2 (b) t (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**4 + 7*m**3 + 114*m**2 + 6*m - 2171524?\nAnswer: 4*m**3 + 21*m**2 + 228*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33331413 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4084?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 14*u**2 - 12*u - 10. Let x be s(13). Solve 0 = -2*b + x - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1274)\/(-4410) - 1*(-1)\/9. Which is the nearest to -1? (a) w (b) -0.2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300064 (base 9) to base 14\nAnswer: -48817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -81\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(19) + 2 + 2)*-2)**2 - 3*((sqrt(475))**2 + sqrt(19))*1).\nAnswer: -29*sqrt(19) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7934595.\nAnswer: 3, 5, 528973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*n = 1426*n - 755*n - 1643 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.105 + 0.04571790633\nAnswer: 1.15071790633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-374)\/(-10) - (-27)\/45 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6142 (b) 17 (c) -2\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81218091301 and 1.\nAnswer: -81218091300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in 1\/3, 1\/11, -0.5, 1\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3644.706 months to centuries.\nAnswer: 3.037255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -2. Let j = 1 + b. Suppose 12 = -4*u + 4*k, -3*k = -5*u - 17 - j. Let x(w) = 2*w**2 - w. Let m(i) = 4*i**2 - 2*i. Determine u*x(c) + 3*m(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -0.0679, -0.4, -0.5?\nAnswer: -0.0679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3619076.47 to the nearest 10000.\nAnswer: -3620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*n - 85 = 0. Let x = -14 - n. Calculate the smallest common multiple of x and (-99)\/(-12) + (0 - (-2)\/(-8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w**3 - w**2 + 1. Let d be f(1). Let z = -8 - d. Suppose x + 3*v = 21, 0 = -0*x + 4*x - 4*v - 20. Calculate the highest common divisor of x and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -22 (b) -365 (c) -1\/2 (d) -2\/9 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 88*q**2 + 90*q**2 - 2 + 4)*(-7*q + 2*q - 3*q).\nAnswer: -16*q**3 + 24*q**2 - 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27548*w**2 + 790*w + 3.\nAnswer: -55096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + l**4 + 5*l**2\/2 - 10*l. Let w(t) = -t**3 - 13*t**2 - 5. Let u(f) = 5*r(f) + 4*w(f). Determine u(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 1, v: 1, w: 1, k: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i + 7. Let r(b) = b. Let x be r(-5). Let h(o) = -9*o + 5. Let u(s) = x*g(s) + 7*h(s). Let t(k) = -4*k**2. What is u(t(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 9. Let n(d) = -11*d + 27. Let s(p) = -3*n(p) + 8*x(p). Let a(o) = o - 8. Suppose -153*m + 125*m - 168 = 0. Determine m*s(k) + 7*a(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-140)\/(-21))*1\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let k be m(-1). Suppose -3*u + 19 = 2*j, k*u = -j + 2*u - 8. Factor 0 + 1 - 2 + s**4 - 2*s**2 + j.\nAnswer: (s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 17*y**3\/6 - 1309*y. Let o(r) = -94*r**2. What is o(n(x))?\nAnswer: -27166*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r - 4*r)*(2*r - 2*r**2 - 2*r) - 64*r**3 - 14*r**3 - 25*r**3 + (2*r**3 - 3 + 3)*(1 - 2 + 0) + 5*r**2 - 5*r**2 + r**3 - 7*r**3 + 2*r**3 - r**3.\nAnswer: -106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - 5*y + 9. Let x = 47 - 56. Let t(a) = a**3 - a + 2. Suppose 5*p - 30 = -5*i, -4*i - 4 = -3*p - 0*p. Calculate i*c(b) + x*t(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 885491 and 20366308\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 - 512*y**3.\nAnswer: -512*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92490000 rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -494006?\nAnswer: 592807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12594455309 rounded to the nearest one hundred thousand?\nAnswer: -12594500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29544 - 29356. Calculate the smallest common multiple of u and 66.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535*f + 12508 = 592*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j + 23. Let a = -4 + j. Is 7\/(2 + (a - 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47603544.\nAnswer: 2, 3, 313, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microgram in nanograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 9. Let d = 12 - 5. Let s(x) be the first derivative of 2*x**2 + 13*x - 18. Determine d*q(l) - 5*s(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r + 6*r - 324. Solve 4*t - 2 = -r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148853579\/1102 + -135076. Let x = 3\/58 + u. What is the nearest to -0.1 in x, -3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6137001 is divided by 864.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44541\/12120)\/((-192)\/10) and -71\/1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -472\/9 - -3322\/63. Which is the closest to z? (a) -54 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0073 minus -90?\nAnswer: 80.9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n + 174 = 2*o, 2*n - 4*o = 84. Suppose 0 = -z + n + 26. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197240 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 12641 in decreasing order.\nAnswer: 12641, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 - (1 - 1) - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 - -157. Solve j + d*p = -j - 16, -4*j + 20 = -5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24) + 1\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3\/(225\/6)). Suppose m - 6*m + 4*v + h = 0, -m = 2*v - 5. Is -6 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 584666, 1169326, 1753986?\n\"Answer: 584660*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/5 + 468*c**3 - 7*c**2\/2 - 28*c + 11809. What is the second derivative of m(a) wrt a?\nAnswer: -12*a**2 + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2333\/2 (c) 5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*p = 1846*p + 1253*p - 26038 + 95806 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 90*z + 1. Let v(r) = -6*r**2. Give v(c(d)).\nAnswer: -48600*d**2 - 1080*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-1 + 10\/6). Suppose 1 = 221*f - 235*f + 71. Solve -p*z = -1 + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) -3 (b) 7\/357248 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252760 divided by 150184?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/19 + 37\/57. Let f = -5710 - -5696. Which is the nearest to -1? (a) u (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83521*k - 1 + 34*k**2 + 83521*k)*(0*k**2 + 5*k**2 - 3*k**2).\nAnswer: 68*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32 + -1 + -2)*1. Suppose -w*d + 24*d = -80. Suppose 0 = -8*g + d*g - 32. Solve -g - 2 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + sqrt(99)*-1))**2*2.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 less than or equal to -7\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1. Suppose -4*b - 25*c + 30*c - 34 = 0, 2 = c. Let f(j) = 3*j + 5. Let s = -1 + 0. Calculate b*k(o) + s*f(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 6*f + 10. Let h be b(-7). Let a be h\/(-3) - (-27 + 1). Let s be (20\/(-1 - -3))\/2. Calculate the greatest common divisor of s and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 605, 1262, 2293, 3698, 5477, 7630?\n\"Answer: 187*x**2 + 96*x + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from jjsssjs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 10 = -18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11897 - -0.118. What is t rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 2)*(3*z - 4 + 4) + (-7 + 4 + 59)*(-z + 1 - 1) as s*z + j and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*j = -21 - 3, j = -3*x + 23. Let m = -5 + x. Calculate the remainder when (-63)\/(-6) + (-3)\/m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5339548?\nAnswer: 2, 317, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91386773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (12 + -20) - (-3 - 4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + 464. Solve -3*z - 5*w - 20 = 0, z + g*w + 23 = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712517 is divided by 59369?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -25*t**4 + 25*t**3 + 235*t**2 - 25*t - 90. Let a(c) = 2*c**4 - 2*c**3 - 18*c**2 + 2*c + 7. Let v(d) = -40*a(d) - 3*g(d). Let v(x) = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -6 + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*o + 80, 2*g + 0*o - 32 = 3*o. Suppose -7*s - s + g = 0. Suppose 0 = -4*h + 4*t - 8, h + 4*h = -5*t + 20. Solve -5 = -s*c + h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173 - -31. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 15. Let m be 4 + 20\/x - -16. What is the greatest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24507000 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7926 is divided by 88?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 11*z + 4. Let b(n) be the second derivative of -7*n**5\/20 - n**4\/12 + n**3\/3 - n**2\/2 - 2*n - 9. Calculate b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwumwhhwhw. Give prob of sequence wwhu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-416))\/((-3)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r - 6. Let t be z(6). Let p be 22\/8 + 2\/8. Suppose -3*n + p = -t. What is the highest common factor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.293 - 207.107. Let i = w + 207. Which is the nearest to -5\/3? (a) -5 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39668263 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 6*h**4 + 7 + 8*h**4 - 11*h**3 in the form d*h**2 + v*h**4 + b + u*h + a*h**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 99. Let r = 25 - i. Let z = r + 47. Are 19 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485557.\nAnswer: 47, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Suppose 4*r - 18 = -5*b, 2*b - 3*r = -0*b - 2. Suppose -b*v + 80 = 3*v. Let x be (-18)\/12*v\/(-6). Give n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 4*u + 2. Let b(d) = d**2 + 3*d - 2. Let h(q) = q**3 - 6*q**2 + q + 6. Let k be h(5). Let x be (6\/7)\/((-2)\/k). Calculate x*b(w) + 5*c(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148886569?\nAnswer: 13, 193, 59341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 110\/7 + 4\/14. Let d = 25 - b. What is the least common multiple of 7 and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -11*q + 5. Let a be h(-5). Let x = a + -182\/3. Is x at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*r + 52*r + 2009*r**2 - 162*r + 53*r as f*r + y + c*r**2 and give c.\nAnswer: 2009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as -25093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 980 and 98?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 0. Let o(k) = k**3 + k - 121. Let c be o(0). Let m = l - c. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 9. Suppose -4*y + 45 = -m*y. Let a(x) = x**3 + 10*x**2 + 8*x - 5. Let q be a(y). Solve 0 = -q*v + 2 - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-4)*(1664832\/(-966))\/(-232)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**4\/12 - 79*y**2 - 5*y. Let u(w) = 363*w**2. Calculate u(p(k)).\nAnswer: 1452*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 21*h - 4*h**2 + 6*h**2 - 8*h - 8*h**2 - 10. Let i be n(-14). Solve 0 = -73*z + 69*z - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 + 8400*f - 8395 = 0. What is f?\nAnswer: 1, 1679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 699*v - 60090. Calculate h(83).\nAnswer: -2073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332013013 + -11?\nAnswer: -332013030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 147 and 324?\nAnswer: 15876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, 53 = -2*f - 5*h - 61. Let p = -54 - f. Suppose p*i - 224 - 244 = 0. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 + (10 - (55 - 94))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-17))**(-2\/17)*(r\/(((r*r\/(r*r**(-18\/5)*r))\/r)\/r))\/(r*(r*r**(1\/4)*r)\/r) assuming r is positive.\nAnswer: r**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 29. Calculate the common denominator of (-10)\/k*741\/(-190) and -5\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/20 - d**4\/2 + 3*d**3\/2 - d**2 - 23. Let y(x) = 3*x - 7. Let g be y(5). List the prime factors of w(g).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 29302836?\nAnswer: -8790850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s + 86. Let a be j(8). What is the second biggest value in -1\/3, -30, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 363*z - 366.\nAnswer: 3*(z - 122)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11303 + 11301. Which is the fourth biggest value? (a) t (b) -0.04 (c) -4 (d) 2\/11 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.9 - -12. Let t = -44 - -33. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.057 - -452.057. Let v = a - 452.1028. Round v to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1082606 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7*r + 2. Suppose -2*y - y - 18 = 2*a, 18 = -3*y + 5*a. What is i(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -3045?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -272, -268, -262, -254?\n\"Answer: g**2 + g - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/10)\/(f\/f**3)*(f*f*f\/(f*f**(2\/7)))**(-13\/2)*(f*f**(-4\/13)*f**6)**(-3\/14) assuming f is positive.\nAnswer: f**(-668\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39456 = -758*k + 9056 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/858 and -25\/364?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 154479 + 260367 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/7 - 42548*g\/7 + 60840.\nAnswer: -4*(g - 10)*(g + 10647)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-1152)\/(-128)))\/97\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vrllrj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*t - 33 = 163, -2*t + 142 = 3*q. Let u(b) = 99*b + 44 - q. Let n(x) = x. Give n(u(s)).\nAnswer: 99*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let n(s) be the third derivative of 0 + 0*s - 5\/6*s**3 - 1\/12*s**4 - 9*s**2. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -7 + 0*t + 1\/10*t**5 + 1\/24*t**4 - t**2 + 4\/3*t**3 + 1\/120*t**6. Let g(m) be the second derivative of c(m). Determine g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 e when four letters picked without replacement from ueueuuueuue?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*a + 2*a + 85 = 0, 4*a = -c - 8. Suppose 0*d = 4*d + c. What is the units digit of ((-2)\/d)\/((-4)\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - -143. Calculate the highest common factor of 77 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.807316 litres to millilitres.\nAnswer: 2807.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 = -2*q + q, 5*q + 15 = -4*p. Let r be ((-9)\/(-6))\/(54\/16 + q). Let n(t) = -t**2 + 2*t + 2. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58634.\nAnswer: 2, 19, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1504 + 824. Let x = -679.99661 - k. What is x rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73776, -72033, -70288, -68541?\n\"Answer: h**2 + 1740*h - 75517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39803759 and 2558.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.3, -2\/7, -6625, 0.1, -2, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + 3 + 3. Let x be -4*(-3)\/(-12)*-3 + -1. Suppose 0 = j*q - x*q - 104. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and -12.99.\nAnswer: -27.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 33202330313?\nAnswer: 33202330323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12850.4 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131420614 is divided by 1016?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + -7*(-3)\/6. Suppose -w*v + 4*d + 207 = 2*v, 0 = 5*v - 2*d - 211. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2 + 4*g**2 + g + 2*g - 7*g**2 - 2*g + g**3. What is x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3 (c) 28 (d) -0.5 (e) -4 (f) 441\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45397, -91007, -136617, -182227?\nAnswer: -227837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -61030 to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19747 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q + 2*o - 8504 + 8570, -4*q - 10 = -2*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -24*u - 9. Let d(k) be the first derivative of -3*k**2 - 2*k + 204. Determine 18*d(f) - 4*w(f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 - 253. What is the second derivative of -107*o - 52*o**3 - 30*o**3 - v*o + 7*o wrt o?\nAnswer: -492*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {t: 3, p: 6, e: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6311 + -41?\nAnswer: b62a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 2*b - 4*m, 373*m - 144 = -2*b + 368*m. What is the least common multiple of 151 and b?\nAnswer: 11627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 969675?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 53*j**3 + 5*j**2 - 36*j - 5. Let y(m) = -54*m**3 - 6*m**2 + 35*m + 6. Let k(z) = 6*n(z) + 5*y(z). What is the second derivative of k(a) wrt a?\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1188)\/44)\/(1\/(10\/(-15)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -91674973, -183349947, -275024921, -366699895, -458374869, -550049843?\n\"Answer: -91674974*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12165253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2149054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7823*s - 4687 wrt s?\nAnswer: -7823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1355785, -1355786, -1355787, -1355788?\nAnswer: -1355789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3725642?\nAnswer: 2, 31, 60091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/(-24) + (-15 - -4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -35*i**3\/3 + 25*i - 1. Let m(o) = 3*o**2 - 2. Let x = -1169 + 1194. Let s(y) = x*m(y) + 2*a(y). Factor s(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 + 412*q**2 + 115664*q - 232960 = 0 for q.\nAnswer: -160, 2, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 234 = -5*u + 44, -3*u + 22 = k. Put -5, 2, -12, k in increasing order.\nAnswer: -12, -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228367, -228357, -228353, -228361, -228387?\nAnswer: -228437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/13))\/j**(-13))\/((j*j**(1\/13))\/(j*j*(j\/((j*j**(3\/2)*j)\/j)*j)\/j)))**(-7\/8) assuming j is positive.\nAnswer: j**(-2415\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Let h = 0.084 + 0.016. Which is the nearest to h? (a) s (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3776 and 21240?\nAnswer: 169920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 - 10. Let y(w) = 3*w**3 - w**2 - 14*w - 20. Let j(d) = 2*h(d) - y(d). Determine j(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-1 + 0 + 1))\/1. Let r(d) = -14*d + 1. Let n be r(-1). Solve 5*j + 0*j - n = z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 102648, -633, 5 in decreasing order.\nAnswer: 102648, 5, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 66148, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)*n**(5\/6)*(n**0)**(1\/19) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 4114956075795.9.\nAnswer: 4114956075790.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 43. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 2*o + 5. Let c be (-18)\/(-22) + -1 - 310\/110. Is 15 a factor of n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 6\/(-15) + 134\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*t - 72 = 0, 0*z + 54 = -3*z + t. Let d = 3 + z. Let w(v) = -v**2 - 25*v + 17. What are the prime factors of w(d)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21963888 and 0.5.\nAnswer: -21963887.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41875, 83754, 125633, 167512, 209391?\n\"Answer: 41879*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 25107.7m?\nAnswer: 25.1077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 4, v: 5}. Give prob of sequence dgvv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -53035\nAnswer: 954630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4398*r*x - 6*r + 7511*x with respect to r.\nAnswer: -4398*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*a**4 + 14*a**3 - 48*a - 100\/3*a**2 + 0 = 0. What is a?\nAnswer: -1, 0, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 - (1 + -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = q + 5*n, -2*q + 31*n - 4 = 28*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0 - 4*t**2 + 0*t - 7\/24*t**4 + t**3. Differentiate l(j) wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let u(l) = -2 + 5 + 3*l - 3. What is u(w(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432.68 take away 1.2195?\nAnswer: 3431.4605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (76 - 125 - -9)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/((143\/(-13))\/(-264))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -g + 19111 + 8955, -2*g = -9*a + 84178. Which is smaller: -1\/3 or a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 4*y - 12, 4*y - 5*i - 21 = 0. Let v be (-50)\/(-15)*6\/(-5). Let t = 6.4 + -6. Sort v, y, t in descending order.\nAnswer: y, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21239 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5653 - 5653 - 5*i - 18*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*c - 1665*c - 23725 = 46547 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-52)\/(-24)) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3687 is divided by 311?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 0.13. What is the smallest value in -4, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4363297.\nAnswer: 5\/4363297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7\/221297 (b) 3\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, o: 1, l: 2, u: 1, w: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3880384 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14227 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-15))\/(-2)*910\/39. Calculate the highest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450982 is divided by 1550.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13*(225*(-9)\/(-162) + -13)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c + 61. Let u(x) = x + 15. Let t = 14180 + -14171. Determine t*u(l) - 2*w(l).\nAnswer: l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5267955088?\nAnswer: 2, 11, 4679, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/3, 3\/41, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 3, h: 4}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 78 (b) -0.3 (c) 2\/31 (d) 0.01 (e) 1\/5 (f) -4 (g) -5\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 31 - 1 = 0. Is 3971 + 2 + 6 + l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 7*q + 12. Let b be r(9). Suppose 35*w = 13 - 118. Let c be (b\/18)\/(0 - 1\/w). Solve -v - 3*v + 22 = -2*f, -c*f = -3*v + 34 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5294899*d**4 - 2050547*d**2 wrt d?\nAnswer: -127077576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/644176621 or -1?\nAnswer: -2\/644176621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369, -360, -335, -288, -213, -104?\n\"Answer: j**3 + 2*j**2 - 4*j - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12395512, -24791019, -37186520, -49582015, -61977504?\nAnswer: -74372987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 2*l - 1. Let y be m(-2). Suppose 0 = -q + y*v + 29, -4*v + 1 + 7 = 2*q. Calculate the smallest common multiple of (q\/8)\/((-2)\/(-16)) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3077, -6154, -9231, -12308, -15385?\n\"Answer: -3077*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 - 1)*(f**2 + f**3 - f**2) - 16*f**3 + 28*f**3 + 36*f**3 + (-3 + 3 + 2*f**2)*(f - 3*f + 0*f) in the form v*f**2 + q*f + k*f**3 + a and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = -1. Suppose -2*q = -7*q - w. Suppose -4*v + 0*v = 8. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100 (base 2) to base 6.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12175172 * -19\nAnswer: -231328268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16914717 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3 = 4*u, -2*u - 3*r - 2*r - 9 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 50\/3. Let i(u) = 2*u. Let x be i(1). Suppose -5*n + t = x*t + 14, -5*t = 20. Is n <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 43*h - 209. Let d = 13631 + -13626. Determine m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*s*z + 27156*g*s - 3*s*z + 3090*s + 3*z + 2 wrt g?\nAnswer: -s*z + 27156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = b - 8, b - 6 = p. Suppose -b*h = -9*h + 96. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1053)*-3)**2 - ((sqrt(1053) - (-3 + sqrt(1053) + 5 - sqrt(1053) - sqrt(1053)))**2 + sqrt(1053)).\nAnswer: -51601 + 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 0.94. Which is the third smallest value? (a) -1 (b) 0 (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 3927.\nAnswer: -3927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 7:07 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*d**2 - 5)*(124*d**2 - 116*d**2 + 2 - 5).\nAnswer: -16*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657*g**5 + g**2 + 91*g + 1 wrt g.\nAnswer: 13140*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3*(-12)\/(-9). Suppose -p*x - 3*b = x + 1, -2*b + 26 = -4*x. Let r = 11 + x. Calculate the lowest common multiple of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13530*n + 13558*n + 336 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*b**4\/17 + 9122*b**3\/17 + 109528*b**2\/17 + 768*b\/17 - 4608\/17 = 0.\nAnswer: -24, -4\/19, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + o = -36*d + 8919, -1 = o. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3970 or 3968?\nAnswer: 3970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 37\/5 of a second?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 18 + 2. Suppose -5*i + 2*a = -4, -v*i - 9*a = -13*a - 8. Solve 5*k - 17 - 3 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1301, -6, -8, -5, 2 in decreasing order.\nAnswer: 1301, 2, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + b**2 - 3*b**2 + 2*b**2 - 1 + 1 + (0 + 0 - 2*b**2)*(3 - 3 + 2) + (4 - 22 - 28)*(2*b**2 - b**2 - 2*b**2))*(-2 - 2 + 0).\nAnswer: -188*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 17*q**2 + 3*q - 38. Suppose 26*h = 81*h - 935. What is t(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808245309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2. Let g(c) = c**2 + 3. Let f(w) = -8*w**2 - 10. Let j(l) = -f(l) - 3*g(l). What is j(z(m))?\nAnswer: 80*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/9 and -34\/573.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -48*i**4 + 2036*i**3 + 53900*i**2 + 132784*i - 188672 = 0.\nAnswer: -16, -4, 1, 737\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 25\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 10 - 30. Suppose -123 - 21 = -12*g. Suppose -g*x = -32*x. Solve x = 3*d + 4 + n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 50. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005867972 to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 85 = -5*w, i - w - 4*w + 55 = 0. Let f = 3 - i. Suppose 5*n + 3 - f = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 5*y**2 - 2*y - 31. Suppose -3*j + 7 = 1. Calculate the remainder when s(-6) is divided by ((-6)\/(-2))\/(1\/j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 30 - o**3 + 32 - 3*o**3 + 3*o**4 to a*o**4 + n*o**3 + z*o + s*o**2 + y and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 7*s - 4. Let f be a(8). Let c be ((-2)\/6)\/(f\/(-36)). Solve 0*g + 3 = c*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1121 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41337.99 years?\nAnswer: 4133.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 90 = -3*s - 29, x - 3*s = 41. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b - 4. Suppose -8 = -18*m + 22*m. Let r be w(m). Suppose -r*l + 576 = -0*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -13. Let i be x + (-3 - -7) + 6. Suppose -3*n + 75 = -i*n. Is n > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3) + 3 + 6. Let j be x\/((-210)\/(-4))*-9. Let d = j + 3\/5. What is the biggest value in -0.2, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/((l*l\/l**(-2\/5))\/l))\/l)**(1\/21))**(-20\/3) assuming l is positive.\nAnswer: l**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61579 = 5*u - t - 61565, 3*u = -t + 14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (((sqrt(108) - (sqrt(108) + sqrt(108)*-2*1)) + 3)*5*2)**2).\nAnswer: 28800*sqrt(3) + 176400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2000)*5*6)\/(5*-3*(sqrt(4) - (1*sqrt(256) + sqrt(256) - sqrt(4)))).\nAnswer: -20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, m: 2, s: 4}. Give prob of picking 2 s and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1685 + -1186. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21922, -21932, -21938, -21940?\n\"Answer: 2*w**2 - 16*w - 21908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -48, -97, -162, -243, -340, -453?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2148315 divided by 716105\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -14. Solve j*l = 2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74916007*a**3 + 309695162 with respect to a.\nAnswer: 224748021*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/1*(-1020)\/850.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m = 3*v + 137, -4202*v - 167 = -4197*v - 16*m for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180531*l**3 + 3*l**2 + 2641*l - 187.\nAnswer: -1083186*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:40 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 1. Let j be c(0). Let i be 4*j - (-2 - -2). Put -3, 0.6, i in decreasing order.\nAnswer: i, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4023 + 4053. What is the highest common divisor of 3405 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/181 and 47\/7240.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690076 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*n - 5. Let l(a) = -7*a + 15. Suppose -1 = 2*r + 11. Let c(x) = 8*x - 16. Let z(b) = r*c(b) - 7*l(b). Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -1. Let t = 146 + -148. Which is the smallest value? (a) t (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3233.97506 - 3234. What is b rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 306 and 31.6.\nAnswer: 9669.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/980)\/(1\/(-4)*1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5*s**4\/4 - 2*s**3 + s**2 + 79*s + 89. Find the second derivative of o(t) wrt t.\nAnswer: -30*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15490 divided by -5\nAnswer: -3098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -10, -5 in descending order.\nAnswer: -1, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235.7 - -236. Let s = -886.5 + 887. Which is the closest to 6? (a) 4 (b) s (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 18) + 4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let n(p) = 5*p**2. Let m(d) = d**3 - 14*d**2. Let v(h) = o*m(h) + 8*n(h). What is the third derivative of v(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -28. Let q = 10 - d. Suppose q*i - 85 = 32. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, 6, 2\/7, 0.4, 3, 0.3.\nAnswer: 2\/7, 0.3, 0.4, 7\/6, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9354019mg to grams.\nAnswer: 0.0009354019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 8, 0, 9 in descending order.\nAnswer: 9, 8, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (93\/(-12))\/((-1)\/12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/3 + 62*v**3\/3 + 274*v**2 - 2634*v + 2340 = 0.\nAnswer: -15, 1, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.06, -0.2, 5, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -321984?\nAnswer: -321978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -42, 1\/5, 0.13, -374, 2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31004, -61893, -92556, -122879, -152748, -182049, -210668, -238491?\n\"Answer: 19*u**3 - u**2 - 31019*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**3 - 152*t**2 + 136*t + 16. Is u(26) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*((3*x - 3*x + 2*x)*(0 - 1 - 1) + 3*x - x - 3*x - 466 + 466 + 24*x)*(-2*x**2 + 2*x**2 - 2*x**2) as o + r*x**2 + u*x**3 + v*x and give u.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20*c - 21. Let n(k) = 20*k + 20. Let g(s) = 4*b(s) + 3*n(s). Let j = -66 - -60. Does 8 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-16)*-8*20\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 961591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151666, -1213613, -4096044, -9709201, -18963326?\nAnswer: -32768661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and (-12)\/(-16840)*((-38)\/(-8))\/(60\/80).\nAnswer: 12630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/(12\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + o)*(-2 - 2 + 6) + 1 + o - 1 + (2*o + 3 - 3)*(0 + 3 - 2) + 0*o - 3*o + 2*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121, 35, -47, -125, -199, -269, -335?\n\"Answer: 2*k**2 - 92*k + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 8. Let y be n(6). Let l = y + -8. Let r(p) = p**2. Suppose -4*m - 4*g - 29 = m, -m + 2*g - 3 = 0. Let t(q) = -q**2. What is l*r(w) + m*t(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201102 + -120?\nAnswer: -10201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(12 - 24\/16). Let o = -35 + 39. Let b = -7 - -5. Sort o, l, b in descending order.\nAnswer: o, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 833, 2880, 6869, 13448, 23265, 36968, 55205?\n\"Answer: 108*v**3 - v**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -20*f - 156. Calculate the remainder when t(-14) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4696 + 4976. Calculate the least common multiple of 360 and d.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - x - 30 = -4*n, 0 = -4*n + 2*x - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*i - 290*i + 17538 = -84*i + 5097 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5842920459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0937459938 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*i = -87*i - 2*t - 60, i + 4*t = -8. Solve 3*h = -2*r + 1, -5*r - 9 = -20*h + i*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = -10*s - 203 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1091182, -1091180, -1091178?\n\"Answer: 2*r - 1091184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 8 = 7, 5 = v - 3*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g + 16 - 126. Let v(u) = -52*u + 1 + 0 + 150*u. Is v(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2470 and 27755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 74*g = -867 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*a**2 - 261*a**2 - 177*a**2 as w*a**2 + f + d*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uugggguuuu. What is prob of sequence uug?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3702 and -443.\nAnswer: 1639986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -1, 2, 1\/3, -5, 0.2 in increasing order.\nAnswer: -5, -1, 0.2, 1\/3, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 3*o + 45, -o + 4*g - 666 = -699 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10652 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*-2)*1)\/(sqrt(8) - (sqrt(8) + -4*sqrt(32) - sqrt(8)))*3.\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 - -270. Solve 0 = i*c - h - 22, -c = -2*c + 3*h + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a century in months?\nAnswer: 17040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0492 + 0.149232. Let t = -14 - -13.9. Let z = x + t. What is z rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 5)*(1 + 1 + 0) + 0 - 1 - 1)*(-88 + 88 + 16*n) + 29*n - 9*n + 10*n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 0.2660248.\nAnswer: 4.2660248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (-5 + -7 + 10 - (-1 - 13)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 4*h + 3. Let a be p(4). Let k = 12 - a. Let b = 40 - k. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17108*r**2 - 17107*r**2 + 97*r + 163*r in the form q + g*r + m*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z + 5 - 29*z - 3)*(3 - 2 + 13).\nAnswer: -56*z + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -3 + 1 - (sqrt(176) + sqrt(176) + 5)*-5) + 4.\nAnswer: 26 + 41*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12878692 to the power of 1\/2, to the nearest integer?\nAnswer: 3589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312 (base 9) in base 3?\nAnswer: -2100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -23, -45, -97, -191, -339?\n\"Answer: -2*n**3 + 3*n**2 + n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*h + 3*t - 11 = -194*h, -23*t = 65 - 157 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 - 41*g + 5. Give b(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from hvuvvvhhuvvvuuhh.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693651 is divided by 2599.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 34*p - 31*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -199, -400, -601, -802, -1003, -1204?\n\"Answer: -201*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3 - 2421*a**2 - 70017*a - 67599 = 0.\nAnswer: -777, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 261464403 to the power of 1\/2, to the nearest integer?\nAnswer: 16170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4200, 14448, 24704, 34974, 45264?\nAnswer: 55580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*-1194175.\nAnswer: -4179612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b*(b*b**7)\/b)**(-8)\/((b**0)**(-10)*(b**(-1))**(-13)) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 15*n - 4*l = 64, 3*l - 15 = 0. Solve 243 = n*o - 345 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r + 4928 - 1964 = 0. Solve 0 = 4*b + r - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -42*k + 37*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 10*o**2 + 8*o - 7. Let x be w(-9). Let p = 4 - x. Find the first derivative of 5 - 1 - p + 2*q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1610)*(-553)\/(-158)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-36)*-6*-3. Suppose -2*g = a + 44. Is (-1590)\/g*(3 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6745815 * -2.6\nAnswer: -17539119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1843*z**2 + 4114 wrt z.\nAnswer: -3686*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65405407097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1962440308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -135, -472, -1041, -1842?\n\"Answer: -116*b**2 + 11*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438668880 by 69.\nAnswer: 6357520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, m: 3, h: 1, w: 1}. What is prob of sequence hfm?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57218574977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 + 40*z - 6. Let m be t(8). Let v be (-48)\/(-540)*15\/m. Suppose 4 = r, d + 3*r = -0*d + 16. Sort 1, d, v in increasing order.\nAnswer: v, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/11 - (-18)\/(-22). Let x = 7.7 - 5.1. Let f = 2.73 - x. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -1\/8 (b) 0.65 (c) 64\/649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273812*l**3*w**2 + l**2*w**2 + 2*l**2 - 122436*l - 2*w**2 wrt l?\nAnswer: 1642872*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0048 and -0.129919?\nAnswer: 0.0006236112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + sqrt(1539) + 2 + 0)*2 - (1*sqrt(57)\/sqrt(3) + 1*sqrt(19)*-4))*-6)**2.\nAnswer: 6624*sqrt(19) + 362412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5603, 11535, 17467, 23399, 29331, 35263?\nAnswer: 41195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2133, -2142, -2183, -2268, -2409, -2618?\nAnswer: -2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4263 - -bc?\nAnswer: -4174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*z - 8*z**3 + 11*z - 3*z + (2*z + 2 - 2)*(z + 2*z**2 - z).\nAnswer: -4*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519 + 550. Suppose -3*l + 68 = q*l. Find j such that 7\/2*j - 3\/2*j**2 - l = 0.\nAnswer: 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*b - 176*b + 820*b + 1.\nAnswer: 1562*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2656 (base 13) to base 11\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdqtdqtqqttqd. What is prob of sequence qt?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 + 2*v**2 + 4*v. Let n(p) be the third derivative of p**6\/120 + 2*p**2. Let o(f) = -6*n(f) + x(f). Let o(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m*(m\/m**(2\/7))\/m*m)\/m*m\/(m**(-4)*m)*m\/m**(-5)*m*m*m*m**(-3)*m**(-3)*m**(-1)*(m**(-2\/3))**(-2\/33) assuming m is positive.\nAnswer: m**(6067\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 + 5*t**2 + 8*t + 5. Let q(a) = a**3 + a**2 + a + 1. What is -f(r) + 4*q(r)?\nAnswer: -r**3 - r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 6, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6796*o - 6815*o + 9082. Calculate the remainder when o is divided by 111.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 1 - 3 + 6 + 2 + 59*h**2. Let d be o(4). Round d to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s - 1. Let k(f) = 77*f**2 + 6*f + 23. Let n(a) = 3*b(a) + k(a). Is n(-2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -37619.55\nAnswer: -7523.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**3 + 374085*z + 22109*z**3 - 374085*z - 2937*z**3.\nAnswer: 19210*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-81)\/6)*3. Suppose o*i = -a + 884, -5*a = 2*i + 2*i - 1762. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 6 = -2*j, -14 = -2*w - 4*j. Let f be (-2 - w)\/(-16 + 15). Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 17*j. What is p(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 54*y**2 - 403*y - 19. Give i(7).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 28*p**5\/17 + 86*p**4\/17 - 106*p**3\/17 - 8*p**2\/17 = 0.\nAnswer: -4, -1\/14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106560 divided by -592.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 17*j + 86. What is q(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9039 and -0.096723?\nAnswer: 874.279197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248 - -250. Suppose 7*m - 6*m = 3, q*n - 1 = m. Solve n*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 447, 708, 993, 1302?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34062921?\nAnswer: 3, 47, 80527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1611 divide 21925031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*n + 295*n - 1089 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y - 14 - 2*y**3 + 1 + 16*y**2 - 4 + 0. Let n be l(7). Solve -a - 2*a + 4*t - 13 = 0, 0 = 4*a - n*t + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/20 - z**2. Let t(b) be the second derivative of 0 + 0*b**2 + b - 1\/6*b**3. Give t(y(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.95 - -0.05. Let y = 0.11 + -4.11. Which is the closest to 0.1? (a) k (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 243, 367, 509, 675, 871, 1103, 1377?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24678 (base 15) to base 3.\nAnswer: 12220102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1784.247 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhuhhuuuhu. Give prob of sequence uhu.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7*r + 60. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) -0.16 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4756*x**2 - 33*x + 12. Let j(d) = 4754*d**2 + 39*d - 14. Give -6*j(w) - 7*r(w).\nAnswer: 4768*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2544, 63, -6678, -19809, -41460, -73761, -118842?\nAnswer: -178833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1457 - 7?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from kikikktmka.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 8900000. Let z(r) = r**3 + 2*r**2 - 2*r - 4. Let x be z(3). Suppose 0 = -30*b + x*b. Let l be n(b). Round l to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924097 is divided by 262?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12*-3 - 17. Let a be l\/(-3) - 2 - 4. Which is smaller: a or 5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*i**2 + 60*i**2 - 117*i**2)*(-4 + 1 + 1) in the form b*i + g*i**2 + l and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -27b?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 4*k - 8. Let m be d(6). Suppose 0 = 4*v + 5*b + 6 + 4, -3*v + 2*b = -m. Let a = 3 + v. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -13. Solve -f = 2*j + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -26 + 9 + -2 + (3 - 16) + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehbqewqew. What is prob of picking 2 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 463659404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -39\/7, -5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from {x: 6, h: 1, c: 2, v: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8576917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*y - 51 = 533 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**(-15\/11)*((p**0*p)\/p)**(2\/13) assuming p is positive.\nAnswer: p**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1.3 (c) 0.1 (d) -9 (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 138*b**2 - 5518*b - 87. What is h(40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -1118, -1115, -1112, -1109?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16354251 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 504?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 23 = 5*h + 4*d, 3*d = 4*h - 126. Calculate the highest common factor of 330 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/b**(-13)*(b**(-3)\/b)**(14\/11) assuming b is positive.\nAnswer: b**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 32396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let s(z) = 2610480444*z. Give l(s(m)).\nAnswer: 5220960888*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(60)\/(4*sqrt(5) + sqrt(5))) - (-3 + sqrt(19) + -1 + sqrt(1216)).\nAnswer: -4*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4075, -8183, -12339, -16567, -20891?\n\"Answer: -4*m**3 - 4080*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*t - 9752 + 3846 = 9142 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 - 7. Let y be i(-6). Suppose -y = -5*a + 518. Calculate the greatest common divisor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15219240 to the nearest integer?\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123748 is divided by 62429.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-7)*(-56)\/12. Let o be (-3)\/i - 38\/8. Let p be 0\/(3\/(15\/o)). Solve 1 = 4*w + 2*a + 5, p = -2*w - 5*a - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 26*u**3 - 3*u + 2. Let q be k(1). Suppose 3*g - q + 10 = 0. Solve -p = -m - g + 3, -4*p + 18 = m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-29 - (-45 - -21 - 24)) + (2 - -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*b**3 - 184*b**3 - 328*b**3)*(-b**2 + 0*b**2 - b**2) + (0*b - 2*b + b)*(-4*b**4 - 2*b**4 + 2*b**4).\nAnswer: 808*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.099 - 0.106. Round t to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 11*l + 38 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2022, -8116, -18282, -32520, -50830, -73212?\nAnswer: -99666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + v = -h + 30, 28*h - 80*h + v + 90 = -55*h - 23*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let r(l) = -2523*l**2 + 2*l - 23. Give w(r(i)).\nAnswer: 2523*i**2 - 2*i + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21451608 < -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.39498 to 2 decimal places.\nAnswer: -11.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 160 = 4*k - 5*g, -5*k = -4*g + 279. Let o = 120 - k. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose -3*b + 0 - 10 = -2*q, 5*b - q + 19 = x. Let d(z) = -z**3 + 2*z**2 + 2*z + 3. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 5, 3537, 1, -11.\nAnswer: -134, -11, 1, 5, 3537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 32\/69615247?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -883 less than -882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4219.1 times -2.9?\nAnswer: -12235.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(13) + (-1*sqrt(156))\/sqrt(12) + sqrt(13)) + sqrt(91)\/sqrt(28)*-6)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*m = 8269 + 231 + 66750 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*n - n. Calculate the smallest common multiple of ((-16)\/28)\/(2\/n) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -260, -605, -1082, -1697, -2456, -3365, -4430?\nAnswer: -5657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -262 + 268. Which is smaller: i or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y + 3. Let u(q) = q. Let p(n) = -4*u(n) + w(n). Let j(t) = -t - 4*t + 22*t + 8. Calculate 4*j(f) - 11*p(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1164072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.878 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 886.1252ml in litres?\nAnswer: 0.8861252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/22 and -119\/13842.\nAnswer: 152262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 370499*f + 370481. What is h(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0988864 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2, 0.1, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 658 in 0.3, -3\/5, -1, 3\/77?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*l**3*m**3 + l**3*m - 2*l**3 - 206*l**2*m + l*m**3 wrt m.\nAnswer: 666*l**3*m + 6*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/(((b**0*b)\/b)\/b))\/b)\/b*b)**(13\/6)*(b**1\/b)**31 assuming b is positive.\nAnswer: b**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + a**2 - 7*a**2 + (-2*a - 315*a + 125*a)*(-a + 0*a - a).\nAnswer: 380*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221249 is divided by 1279?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184838 divided by 177.\nAnswer: -6694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1 + 80*d - 2 - 50*d + 7 - 31*d. Let b(c) = -c + 2. Determine -5*b(w) + 2*x(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert -22313322 (base 4) to base 13.\nAnswer: -17370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25045\/21 equal to -1193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from nngzb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45684 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -4047\/94?\nAnswer: -4047\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 561 + -31?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*r*u*x + 3*r*x - 2*r - 10*u*x - 11*u + 4*x - 391 wrt u.\nAnswer: 55*r*x - 10*x - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8926015 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: How many minutes are there between 12:13 PM and 4:23 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3317608, 6635226, 9952844?\n\"Answer: 3317618*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 574784 divided by -64?\nAnswer: -8981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, 0 = -4*q - 6*y + 5*y + 56. Suppose 0 = 2*f - 3*o - 19, 5*f - o - q = 14. Solve -f*w = -1 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -0*l - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 - 3) + -6 + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/4 - o**3\/2 - 4*o**2. Suppose -2*m - 2 = 2. Let n be u(m). What is the highest common factor of 36 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825762, -3303097, -7432002, -13212477?\nAnswer: -20644522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/15 - (1324\/(-30) - -4). Suppose 4*a + 36 = n. What is the closest to a in 0, 4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119, 232, 343, 452?\n\"Answer: -j**2 + 116*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2573 divide 25194816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.70689 centimeters in millimeters?\nAnswer: 57.0689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53210334.\nAnswer: 2, 3, 8868389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1184 and 4989904?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-15)))\/(k*k**(1\/10))*(k**4\/k)**(-1\/21) assuming k is positive.\nAnswer: k**(963\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1248 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 4*f - 13. Let s be o(-3). Suppose 0 = -g + 3*n - 2 - s, 4*g = n - 18. Sort g, -3, 3, 1.\nAnswer: g, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -643220*s**2 + 321600*s**2 + 321587*s**2. Let b(h) = 2 - 2 - 7*h**2. Determine k(b(t)).\nAnswer: -1617*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -182\/5. Let t = 2.032 + -0.032. Put 0.4, x, t in descending order.\nAnswer: t, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1001b8 - 5?\nAnswer: -1001c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 61*a = -33*a - 31*a - 2, 81*j - 11*a - 178 - 6 = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 - 2*h)*(-14 + 14 - h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -125.72 <= 1483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**2 + 839*k + 149. Determine q(-93).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1. Let q(r) = 5*r + 0*r - 6 + 2 - 4*r. Let l(y) = 2*q(y) + 9*z(y). What is the tens digit of l(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 5*r - 1. Let w be n(3). Let h = -4 - -1. Let v = 3 + h. Solve 0 = -v*u - 2*u + 4*j - 28, -w*u - 30 = -2*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57057856 to the nearest integer?\nAnswer: 7554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) - (-4*sqrt(2) + 1)).\nAnswer: -3 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5803833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-35)\/28 - ((-2 - -2) + 11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(2 + 0 + 1)*(7 - 3 - 6)*(25*a**2 + a - a).\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6*l + 5*l - 2, 14 = 5*l - 3*g. Is (37 + -1264)\/(l - (-10)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 2. Suppose 33 = 3*z - d. Suppose -3*r - 11 = 4*p, z + 9 = 4*p - 4*r. Which is the nearest to p? (a) -0.5 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 6 - (-1 + 1)) + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 92888\/29240 + -32*(-2)\/(-20)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27631, -110155, -247691, -440239?\n\"Answer: -27506*w**2 - 6*w - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38459.3 + 38455. Which is smaller: 1.29 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1093 times -13.3\nAnswer: 14536.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/4 of a second?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124427 plus 1.03?\nAnswer: -124425.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 + 6 + (0 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 21\/3) + 1. Let n be (-6)\/(-21) + p\/21. Suppose 55 = -n*a + 5*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-4) + 51 + -35)\/((-27)\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13540 + 66122 + 94672 + 64488 - 11587 - 1818)*(3*y**3 + 2*y**3 - 3*y**3) to the form p*y**3 + w + b*y + u*y**2 and give p.\nAnswer: 450834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4. Let g be a(-3). Suppose -g*c - 19 = -59. Let u(d) = -2*d**3 + 16*d**2 - 4*d. Calculate the common denominator of 67\/6 and u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -4 (c) 3\/2 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85329, 170698, 256067?\n\"Answer: 85369*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -85592 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 1\/180*w**5 + 7\/2*w**2 - 1\/36*w**4 + 1\/120*w**6 + 0*w + 0*w**3 - 5. Let m(x) be the second derivative of i(x). Factor m(v).\nAnswer: v*(v + 1)*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(75) - (sqrt(75) + sqrt(75) + -1 + sqrt(75) + sqrt(75) + 1) - sqrt(75)*-3*5))**2.\nAnswer: 600*sqrt(3) + 10825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 7 - 10*n - 5.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -14. Let h be 4\/(-14) - 74\/(-112). Put -0.5, h, f in increasing order.\nAnswer: -0.5, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -369136, -738277, -1107418, -1476559, -1845700, -2214841?\n\"Answer: -369141*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1786 and 51512?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 8080.\nAnswer: 40400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1012121 (base 3) to base 11\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38141, -38140, -38139, -38138?\n\"Answer: m - 38142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:13 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -115. Let d = q - 90.921. Let m = -0.0789886 + d. What is m rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1276312 * 4\nAnswer: 5105248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -827043 by 7.\nAnswer: -118149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2155, -2159, -2163, -2167?\n\"Answer: -4*t - 2151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -73*w - 74*w + 226*w - 74*w. Let n(j) = -18*j**2 + 4*j. Calculate p(n(b)).\nAnswer: -90*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - (-49 - -22)) + 31 + (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102088626 divided by 2?\nAnswer: -51044313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 9, e: 10}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37260 and 1104?\nAnswer: 149040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61237 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 97.39862 hours?\nAnswer: 350635032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, z: 1, s: 2}. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 995.14745 - 998.54745104. Let d = -3.4 - a. What is d rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8598 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.986 + -0.014. Let i = -0.6 + 0.9. Let u = -0.8 + -2.2. Which is the nearest to m? (a) 0 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 167162?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**4 + 4722*w**3 - 307054*w**2 + 4600248*w + 7607160 = 0.\nAnswer: -1243, -3\/2, 30, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/88 + 1015\/8. Let q = 128 - u. Is q at least as big as -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**4 - 964*y**3 + 1958*y**2.\nAnswer: -24*y - 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -284, -952, -2250, -4388?\n\"Answer: -35*x**3 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -39*s + 9. Let k be y(0). Let j(h) = h**3 - 9*h**2 + h + 20. Determine j(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3 + -2.2112033.\nAnswer: -5.5112033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k - 7 = -59*k - 78 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 - k**2)*(-29 + 1 - 450)*(-2*k**2 + k**2 + 0*k**2).\nAnswer: -956*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x - 2. Let c(n) = -21*n**2 + 15*n - 6. Give c(b) - 4*t(b).\nAnswer: -29*b**2 + 11*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 64482.8*2\nAnswer: 128965.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2034 (base 5) to base 16\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 352533454 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 least common multiple of 36732 and 11007356.\nAnswer: 33022068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + 2.6. Let s = 0.2 + -0.2. Sort s, q, 2 in ascending order.\nAnswer: s, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564882908.\nAnswer: 2, 109, 1295603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - g + 4*g)*(21*g - 3*g + 31*g) + 4*g - 4*g - 4*g**2 as q + j*g + f*g**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a**2 + 6*a + 24. Give q(-3).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -542?\nAnswer: -542.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d**2 - 2. Let p(s) = -19*s**2 - 3. Determine -3*p(b) + 4*q(b).\nAnswer: -19*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 99 = 7*v - 3*a, -v - 3*a = -6. Suppose p + 7 = v. Solve -2*z = 4*k, -k - 8 = -5*z + p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*f = 35, -1 = -5*f - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 13*a - 2*d = -10, 3*a + 5*d - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 203 = 4*o - 373 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 11, 4 in ascending order.\nAnswer: -3, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/4 + 320*v + 20480.\nAnswer: 5*(v + 128)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from jjjjjjjjjjdjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21*-19 - 39\/13.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(187) - sqrt(187))*-6 - sqrt(187) - sqrt(187))\/(-1*sqrt(275)).\nAnswer: -22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 14*m**3\/3 - 90*m - 3. Let a(z) = -9 - 2*z**2 + 9. Determine a(t(c)).\nAnswer: -1568*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190600 and 1400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4540541\/660 + -68797\/10. Find the common denominator of i and 85\/198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Let b be (1\/3)\/(3 + (-16)\/6). Let u = 39 + -37. What is the nearest to b in -2, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -bb91664?\nAnswer: bb9166a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 <= -16.855298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(95) + sqrt(95)*2) + 1*sqrt(95)*-2)\/(3*(sqrt(125) + (sqrt(125) - -2*sqrt(125)) + sqrt(125) + sqrt(125))).\nAnswer: -2*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -525486, -2101939, -4729362, -8407755?\n\"Answer: -525485*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.8 + -18. Let l = 2 - 0. Let v = 4798 + -4797. Sort -3, v, c, l in decreasing order.\nAnswer: l, v, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/17 + 15814*n**2\/17 + 31634*n\/17 + 15818\/17.\nAnswer: -2*(n - 7909)*(n + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 11 + 4*c**3 - 4*c + c**2 + 4*c**3.\nAnswer: 8*c**3 - 4*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-5 - 1330\/21)\/((-6)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4 - 1?\nAnswer: -1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*k + 3976 = 110*k. What is the highest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1)\/(1222\/141).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}