diff --git "a/data/dm_maths/full_data_1/2606_11255.jsonl" "b/data/dm_maths/full_data_1/2606_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2606_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -0.116352559 rounded to 5 decimal places?\nAnswer: -0.11635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085074167 rounded to 5 decimal places?\nAnswer: 0.00851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45247.67 minutes?\nAnswer: 2714860200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let a(v) = -8710128*v. Give u(a(i)).\nAnswer: -75866329776384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 760*r**2\/3 - 5984*r\/3 - 3968.\nAnswer: -2*(r + 4)**2*(r + 372)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9533 - -9546. Solve 31*q - 28*q + 7 = g, 5*q + x = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32230100 - -23232?\nAnswer: 32313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 - 8*c + 2. Let p(u) = u**3 - 10*u**2 - 2*u + 12. Let z be p(10). Let o be t(z). Solve o*a + 2*a - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*b**3*l**3 - 2*b**3*l**2 - 22*b**2*l**4 - b*l**4 - 4*b*l**2 - 85*b*l wrt l?\nAnswer: 90*b**3 - 528*b**2*l - 24*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 222142672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = 111*h - 94*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.94 - -24. Let w = j - 0.06. Put -0.4, 1, w in decreasing order.\nAnswer: w, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/24*6 + 2. Let r be (-66)\/(-55)*5\/l. Suppose -5*b + 31 = 4*i, -4*b - 6 = -3*i - 2*b. Solve -r*a - i*f + 14 = 0, 2*a - 5*f = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t - t**3 + 3 + 0*t**2 - 1 + 2*t**2. Let p = 20 + -17. Give w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -951 - -953. Solve 1 = -3*q - 3*m + 10, -3*q = -h*m + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 405 = 4*m + 4*d, d + 1983 = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1068654434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3 + 2 - 7) + (213 - 196)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5156 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1752397*p**2 + 159*p. Let r(b) = 2*b**2. Give i(r(f)).\nAnswer: -7009588*f**4 + 318*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -2\/171, -0.9 in increasing order.\nAnswer: -0.9, -4\/7, -2\/171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -36, 4 in increasing order.\nAnswer: -36, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 4893930 and 4893931 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-5)\/((-10)\/(-24)). Let w(r) = 3*r**2 - 19*r. Let p be w(7). Let c = p + j. Solve 0 = -2*q + 3*q + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*w + 106*w + 3555 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 158*x - 997. Determine r(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or -101?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*45989.\nAnswer: -367912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -945003*l - 6. Let b be j(-2). Suppose 8 = 5*o - 42. Suppose 13*i - b = o*i. Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -3, 10, 25, 42, 61, 82?\n\"Answer: d**2 + 8*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 4*l = 2, 2*l + 6 = -171*i + 170*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 - 95. Calculate the remainder when h is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41933321 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6144, -6176, -6208, -6240, -6272, -6304?\n\"Answer: -32*v - 6112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 557*o*p**2 - o*p*u + 1386*o + 7*p**2*u + p*u wrt p.\nAnswer: 1114*o + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-5 - -4) - 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**3*z**4 - 4*k**3*z**2 + 2*k**3 + 3*k**2*z**2 - 291*k*z**4 + 49*z**2 wrt z?\nAnswer: -120*k**3*z - 6984*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 418.7354 weeks?\nAnswer: 4220852.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (71\/(-284))\/(51\/2424). Is o at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19212\/30 - 2\/5. Let f = w - 381. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v - 17\/2*v**2 + 0 - 1\/2*v**3.\nAnswer: -v*(v - 1)*(v + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896\/(-3458) - 6\/(-57).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from niaingnlyaa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*b + 6. Let n be 66\/b*(-2 - 0). Let z(k) = -2*k - 4. Let w be z(-13). Calculate the greatest common factor of n and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1132038, -2, -117.\nAnswer: -1132038, -117, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 747 = 0. Find the common denominator of (1 + -20)*(0 - -2) and (-4)\/(-10) - c\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 83 = 13. Let t(d) = -12*d + 3. Let a(m) = -4*m + 1. Let r(l) = 17*a(l) - 6*t(l). Calculate r(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -3 - -5*(-2)\/(-5). Suppose -4*o + 25 = 3*s - 8*o, 2*s + b*o = -6. Suppose s*h + 180 = 7*h - 2*y, -225 = -5*h + y. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5307 = -h - 5*y, 5*y = -195*h + 192*h + 15911. What are the prime factors of h?\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 1423 - 2625 - 4402 = 0. Calculate the remainder when 384 is divided by r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 127*f**2\/2 + 159*f + 44. Let l be w(4). What is the highest common factor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.6976 rounded to one decimal place?\nAnswer: -131.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d - 143. What is u(22)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - (-7)\/(-4). Let f be 3\/6*-1439*h. Suppose -2*a - 3935 = 3*y - f, 4*y - 3*a + 3311 = 0. Round y to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m = -20251 - 23309. Is m a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-165)\/(-6))\/((-1)\/2). Let v = z + 59. Suppose k - 155 = -2*p, v*p + 5*k - 123 - 196 = 0. Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 203, 4, -5, -203, 2 in descending order.\nAnswer: 203, 4, 2, -1, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 4*h**3 - 4*h**3 + (-h + 3*h - h)*(-h**2 + 0*h + 0*h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1)\/(((-1080)\/(-1020))\/18).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 72*k**3 - 2520*k**2 - 60000*k - 306000 = 0. What is k?\nAnswer: -34, -10, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -587466 divided by 97911.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 - (7 + -8 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/15)\/3)\/((-176)\/(-165)*3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125200 divided by -50.\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 9*g - 11*g = -14, -19 = 5*b - 2*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 43. Calculate the least common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from ckunicnkncc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5692 = 2276. Find the common denominator of -77\/24 and (-2 + (-3)\/(-5))\/(m\/(-280)).\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let n be y(-6). Let h(l) = 0*l - n*l**2 + 0*l + 8*l**2. Let o(b) = -b**2. Calculate o(h(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294.813 rounded to the nearest 10?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + n**2 - 2*n**2 - n + 5*n**2. Let w(r) = -12*r**2 - 9*r. Let j(c) = 6*w(c) + 17*x(c). What is the second derivative of j(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 11*n = -21*n. Which is the biggest value? (a) n (b) 3\/26 (c) -1\/4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 2*i**2 + i - 4. Let g be y(-3). Suppose g*z = -3*f + 7, 6*f - 4*f - 3*z = -4. Solve -f = 5*t + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -2.1. Let k = 400\/7 + -57. Which is the closest to 0.1? (a) y (b) k (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + ((-12)\/3)\/(-2). Let z be -44*(o + (-15)\/6). Suppose 3 = 5*t - z. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 216*s**4 + 92*s**4 + 303*s**4 + (2*s**4 + 0*s**3 + 0*s**3)*(-1 - 3 + 5).\nAnswer: 613*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*n**2\/11 - 28848*n\/11 - 11558432\/11 = 0. What is n?\nAnswer: -2404\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414484073?\nAnswer: 3, 52388299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 3. Let j be (-4)\/q*5\/2. Suppose -j*g + 0*g = -68. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {w: 2, r: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -794, 53\/4.\nAnswer: -794, -2, 5, 53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 + -26 + 3. Let x = 56 + i. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4125 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 + 25*o**2 - 9*o + 40. List the prime factors of d(11).\nAnswer: 2, 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 11*r + 7. Let l = 355 - 357. Let s(n) = n**2 + 10*n - 8. Let m(v) = l*g(v) - 3*s(v). Calculate m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*(y*y**(-2\/19))\/y)\/(y**(-2)\/y**(-2\/11)) assuming y is positive.\nAnswer: y**(-687\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 16 = 7*b. Is 1148\/b*4*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 13 = 4*r, -5*r - 1656 + 1656 = 3*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*f = -2*f - 29, 4*i + f = 78. Calculate the greatest common divisor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k**3 - 44*k**2 + 700*k + 680 - 8*k**3 + 234*k**2 = 0. What is k?\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11859, 23715, 35571, 47427?\n\"Answer: 11856*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 11795 + 11795 + 116*q**3 in the form a*q + y*q**2 + i + h*q**3 and give h.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/197 bigger than -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 30*p**3 + 58*p**3.\nAnswer: 78*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.030871 days to milliseconds.\nAnswer: 348267254.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/65 - ((-17)\/(-5) + 0). Let r(l) = l**2 - 2*l - 6. Let x be r(y). Solve 5*w + x = -2*b + 35, -b + 11 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622800964 is divided by 7678.\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615446 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 11) to base 5\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/19704 and 69\/56?\nAnswer: 137928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 26. Let n be g(25). Is n less than -3\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124140 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 + 3*w + 4. Suppose 5*i = 38 - 18. Let t be f(i). Let s = -125 + t. Are -61 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38988)\/95)\/108 + (-4)\/(-2)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2)\/(-26)*2176\/4352.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/60490306 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4*14\/(-32) - (2 + -5) and -83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(75) + (sqrt(75) - -6*2*sqrt(75)) - (sqrt(3) - (-2 + sqrt(147)) - -2*(sqrt(27))**2)) + 0).\nAnswer: -232 + 304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 - 200*w**2\/9 - 86*w\/3 - 64\/9 = 0. Calculate w.\nAnswer: -32, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/9 + 4\/18. Suppose -5*m + h + 26 = -3*h, -p*h = 4*m. Calculate the smallest common multiple of 7 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:13 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 = -20. Suppose -6 = -122*h + 2434. Calculate the highest common divisor of r and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + 6438?\nAnswer: 6407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(0 + 0 - n**2) + 1 + 9083139*n - 9083139*n - n**2 + 14*n**4.\nAnswer: 12*n**4 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 - 1372*m**4 - 108224*m**3 + 1647568*m**2 = 0?\nAnswer: -178, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356 divided by -230.\nAnswer: 678\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 1 - 69*f + 3*f**3 + 7*f**2 + 75*f - 4*f**3. Suppose j = -4 - 2. Determine d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 461 + -441. Solve 3*q - n = 8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/126 and -17\/9198.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3142811\/44 or 71427?\nAnswer: 3142811\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 94625 and 94533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 (base 9) in base 11?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -0.1. Let w = j + -0.95. Let y = w + 0.08. Round y to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 + 4*x**2)*(10*x - 100 + 100).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -75. Suppose -5*k + 4*d + 16 = 0, -k + 2 = z*d - 7. Solve -2*s + 5*f + 35 = 3*s, 2*s - 20 = k*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 - 20*l + l**2 - 9*l**2 + l**2 - 67*l in the form d*l + n + p*l**2 and give d.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 155*u**2 - 2*u + 2. Let j be x(1). Let p = -71 + j. Let g be ((-2)\/3)\/((-7)\/p) - 2. Which is smaller: g or 31\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 1105050*g - 6630235. Give k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 27. Let y = -0.2 + 0. Sort -1, y, l.\nAnswer: -1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*u + 22935373 - 22933378 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22*c - 39. Let s be r(6). Let a = 113 - s. Solve 5 + 4 = -3*y - g, a = -2*y + 4*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 9*s + 2. Let x(y) = -y**3 + 2*y**2 + 3*y + 1. Let t be x(-2). What is the tens digit of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-34 + 44 - -4)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**2 + p**2 + 8*p - 54*p**3 + 12*p**3 wrt p?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -22.1 (c) 2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*w + 6 - 16*w + 0 - 25*w + 5*w to a + k*w and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(136) - 6*(sqrt(136) - sqrt(136)*-4)) + 6*-1*sqrt(136))\/(-2*-1*sqrt(648) - (1*sqrt(648)*-3 - sqrt(648))).\nAnswer: 35*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 19.06809?\nAnswer: 18.06809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o = 4*l + 75*o - 13, 2*l + 4*o = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 84519.5 hours?\nAnswer: 304270200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 212, 1468, 3608, 6632, 10540, 15332?\n\"Answer: 442*n**2 - 70*n - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let h(a) be the third derivative of -a**4\/8 - 23*a**3\/6 - 6*a**2. Determine r(h(v)).\nAnswer: 3*v + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4303\/49115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156655 or 156656?\nAnswer: 156655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h + 1373. Let j(f) = -6*f. What is t(j(n))?\nAnswer: 36*n + 1373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32744)\/10)\/(-4) - (-10)\/25. Let t = o + -686. What is the highest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/130 and 67\/220.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 989189 and 955.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42565320 + -1?\nAnswer: -42565321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 84*w**2 - 1219*w - 112174. Calculate d(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17041 - -31014. Calculate the greatest common factor of m and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2141233103 - -31?\nAnswer: -2141233022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 + 507479660*b + 32191950664214450 = 0. What is b?\nAnswer: -126869915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -22*j - 3799. Let q = 51 + j. Do q and 182 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -33.08. Let x = -4 - -4.5. What is the second smallest value in 3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 2*b**2 + b**2)*(-5*b - b - 3*b).\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.5572um in centimeters?\nAnswer: 0.00675572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -465.7 + 17.516?\nAnswer: -448.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Let t = 2 + f. Solve 0 = t*q - 2*r + 4, 3*q - r - 11 = -3*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35592 by -6.\nAnswer: 5932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 - -130.9. Let l = 8 + p. Let y = 2 - 2. Which is the third smallest value? (a) l (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/14*26*(-469)\/(-20904)\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*l - 8 = 0, 6 = l + 2. Calculate the lowest common multiple of k and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/27)\/(((-2)\/(-18))\/((-4)\/4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.02 (b) -0.47 (c) -2.8 (d) -2\/9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 421?\nAnswer: -3\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 19. Let y(t) = t + 9. Let g be y(r). Suppose -5*u + 3*l = 5*l - g, l = u - 4. Solve -5*p = -u - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5403, 47306, 161029, 382482, 747575, 1292218?\n\"Answer: 5985*d**3 + 8*d - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Suppose 0 = -2*l - 3 + 7. Let o be m(l). Let s(v) = -v**3 + 5*v**2 + 3*v + 4. Let h be s(o). Calculate the highest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*l - 169 + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 39 + 423. Let n be h\/42 - (1 - 10\/7). Suppose 7*y - 166 = n*y. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z - 94*z + 13 = -5*q, 7 = 5*z - 4*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 4*d**2 + 20*d. Determine t(-7).\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0535923 rounded to 3 decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.00887832 (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x**3 + x**2 + 3*x + 1. Let d be l(-2). Let u be ((-4)\/(-14))\/(9\/d). Find the third derivative of -3*s**6 + 2*s**2 + u*s**6 + 3*s**6 wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-5 + 138476\/27700)*3630\/(-1089)?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g**3 - 8*g**2 + 5*g + 331. Let t(o) = 2*o**3 + o**2 - o + 1. Determine n(l) + 5*t(l).\nAnswer: -l**3 - 3*l**2 + 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 6*z + 2. Let r be w(-6). Let y = -262 + 199. Let m = y + 67. Put r, -4, m in decreasing order.\nAnswer: m, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12860 is divided by 1551.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1284071, 1284070, 1284069, 1284068?\n\"Answer: -b + 1284072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 + 3 = -4*o, -o - 8 = -4*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + 5. Let w = 89 - 89. Which is the nearest to w? (a) j (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/28 in 0.3, 64\/7, 0.02, -1\/6, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 465 = 2*s + c, -s = 2*c - 93. Round s to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 8 + -8 - 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 13*f + 17210. Let z be v(0). Round z to the nearest one hundred.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*o - 5 = 5, -5*f - 4*o + 95 = 0. Suppose f*b = 14*b - 68. Let q = b - -101. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -445 + 125. Let l = r + 208. List the prime factors of 7\/21 - l\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 2*i**2 - 2. Give q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505223 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*r + 0 - 1 + 1233*r - 74*r.\nAnswer: 1517*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 733984.8002 rounded to the nearest one thousand?\nAnswer: 734000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -242, -279, -340, -425?\n\"Answer: -12*k**2 - k - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -1077\nAnswer: 14\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 118, 178, 238?\n\"Answer: 60*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491 - 155919.\nAnswer: -156410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -4d?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*s + 26, 3*s = -s - 16. Let v(r) = 1 - k*r - r + r**3 - 2*r**2 - r**2. Let i be v(4). Solve i*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = -366*a - 3786 + 46 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1994\/543 - 573887\/119460. Let s = -19\/20 - f. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 83 + 118. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 s when four letters picked without replacement from {p: 5, v: 2, s: 9}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 572 = 2*j, 0 = -4*j + 3*j + 5. Suppose -3*r = 5*q - 373, 8*q - 5*r = 4*q + x. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 4 - (-3 - (11 - 6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -97, -5, 4, -220 in decreasing order.\nAnswer: 5, 4, -5, -97, -220","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(1 - -3) - -8. Suppose -5*g = s - 16, -28 = -v*s - 3*g + 2. Factor 9*k + s*k**2 + 2*k**2 - 4*k**2 + 20*k**4 - 17*k + 32*k**3.\nAnswer: 4*k*(k + 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -61 + 47 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*l + 3. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-1584)\/(-1680) + (-102)\/(-21) + -4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16680 by -1.\nAnswer: -16680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-28))\/(5\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3610 and 666406?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 28. Which is bigger: -27 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = -12. Calculate the least common multiple of ((-25)\/(-15)*-3)\/(-1) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28824, -57645, -86466, -115287, -144108, -172929?\nAnswer: -201750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2. Let a(o) = 52*o**2 + 1. Let c(f) = -a(f) - 3*n(f). Let i(w) = -11*w - 15*w - 14*w - 12*w + 51*w. What is i(c(y))?\nAnswer: 49*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 9 = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 1000114*u**2 + 1000117*u - 2000230.\nAnswer: -(u - 1000115)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2200\/(-66))\/((-2)\/6). Let q = t + -87. Calculate the highest common factor of q and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i - 10. Let j be f(-2). Let a be j\/(-14)*(-5 - -12). What is a rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 116 + 9. Let k(n) = 4*n + 4 - 5*n**2 - 2*n**2 + 8*n**2. What is the remainder when z is divided by k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70908, 0.3, 0.26 in increasing order.\nAnswer: -70908, 0.26, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6661*o**2 + 56*o + 56. Is m(-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -54\/25, 1, 6, 4, -4 in increasing order.\nAnswer: -4, -54\/25, -0.5, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/12705 (b) -1.6 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let m(n) = -5*n + 20. What is m(t(w))?\nAnswer: -5*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.002 from 0.4.\nAnswer: -1.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -465.69 + -3.31. Let l = -432.3 - j. What is l rounded to zero decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1655771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/3 - 3*f**2 + 2*f. Let m be x(5). Find the second derivative of -3*j**3 + m*j**3 - 2*j - 2*j**3 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and -5\/369.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7. Suppose 5*s - 15 = t, 5*j = 2*s - 35 + 9. Which is the third smallest value? (a) j (b) 4 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2. Let d be -16*(4 + 27\/(-6)). Suppose -d*p - 14 = -3*p + 4*u, 0 = 5*p + 5*u + 15. What is the smallest common multiple of 10 and x(p)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/20 - 49*m**4\/12 + 272*m**3\/3 - 6761*m. Factor u(i).\nAnswer: i*(i - 32)*(i - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8 - (-1358)\/(-8)*128\/30464\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058849811 + 0.1?\nAnswer: 0.041150189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 16. Let b be q(-13). Let v be -1 + b - (6 - 3) - 1. Calculate the greatest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 19 = -z. Suppose a - 2*p = 6*a - 24, 4*a - p = z. Suppose 0 = -2*x - 10, -3*q - 2*x = -3*x - 14. Solve 0 = 2*i - m - a, 31 + 4 = q*i + 5*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.2. Let l = -0.05 + -2.95. Let z = 208 - 210. What is the third smallest value in z, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 130*s**2 - 136*s + 659. Give c(131).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 + 160. Suppose -72 = o*h - 597. Calculate the smallest common multiple of 33 and h.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 86. Let f = -2 + 1.8. Let p = 0.01 + -3.01. Which is the second smallest value? (a) w (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 5*y)*(10*y**2 - 4*y**2 - 10*y**2) to d*y**2 + m + v*y**3 + o*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*a = -67, -6*a + 61 = 4*w - 3*a. Suppose 10 = 2*i - 4*d, 27 = 4*i + 5*d - w. What is i rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-48) - (-6 - 160\/(-24)). Sort 3\/146, 3, -0.4, i.\nAnswer: -0.4, i, 3\/146, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose h*t = -4*l + 80, -26 - 74 = -4*l + 3*t. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/(4 + 14034\/(-3508)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*0 - -4. What is the remainder when 29 is divided by b\/10*(-8 + 28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndnd when four letters picked without replacement from mbndnbddnnnqbdsdn.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0 + 16\/5*j + 2\/5*j**4 + 2\/5*j**3 - 4*j**2 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139973 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 13 - 25. Let p be (-19 - w) + 16\/7. Is 3 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11649 by -264.\nAnswer: 353\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2212984507 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-44) + 252\/(-308). Is -666 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.94 - 0.06. Let j = f + 0.9. Let w = -2.5 - -0.5. What is the second smallest value in j, w, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Suppose 3*l = 4*h + v*l - 6, -13 = -5*h + 3*l. Suppose -t = 4*s - 0*t - 1003, -3*s - h*t + 751 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -0*b + 2*b - i, -2*i = 2*b - 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wra when three letters picked without replacement from wayyryr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/641 + 3832\/4487. Find o, given that 3\/7 + z*o + 3\/7*o**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gtgrrgqrqr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/3 - 11*w**2 + 32*w. Calculate the lowest common multiple of h(14) and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249456521.\nAnswer: 17, 29, 311, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 335423 + 64?\nAnswer: 335520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271947 divided by -247.\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 10359\/2 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 18. Let f be n(6). Let b = -38\/51 - 10\/17. Do b and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 + -4 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + 9*w - 7. Let i(s) = 6*s**2 + 8*s - 6. Let g = 600 + -605. Give g*c(m) + 6*i(m).\nAnswer: m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j - 21 + 21)*(-4*j**2 - 3*j**2 + 5*j**2) - 5*j**3 + 21*j - 21*j + (j**2 - j**2 - j**2)*(-2*j - 1 + 1).\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 558\/323 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3313176.\nAnswer: 6626352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 15*b - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9, -1\/3, 0.18, 8, -0.3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.04, 0, 0.2, 2, 328\/3?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 3, t: 3}. What is prob of sequence rkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 20 - 10. What is the third derivative of 4*t**3 - n*t**3 + 0*t**3 + 5*t**2 + 2*t**3 wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851401268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-141)\/2*(25 + -29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12086361863\/299 - -40422563. Let i = g + 705\/13. Calculate the common denominator of (3 - (-57)\/(-6)) + (-1)\/(-8) and i.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) + 114\/42. Suppose 4 = -o + l*o. Let b = 7 + -4. Solve o*m - b*m = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -747544*-0.2.\nAnswer: 149508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*s + 28*s = -4578. Let o(i) = i - 3. Suppose -y + 24 = 5*p - 0*y, 4*p - 25 = 5*y. Let g be o(p). Solve -t = -5*z - g*t + s, -2*t + 2 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -17*n**6\/10 - n**4\/24 - 26*n**3 + 4*n**2 + 26. Find the second derivative of z(q) wrt q.\nAnswer: -1224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 510*k**4 + 233768*k**3 - 2052370*k**2 + 1571516*k + 246576 = 0.\nAnswer: -467, -2\/15, 1, 132\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/25*l**2 + 86\/25*l + 12\/25.\nAnswer: -2*(l - 1)*(49*l + 6)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 29*t - 71. Let w be k(26). Solve -16 = -3*c - w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 2*v + 4*v + (-2 + 1 - 1)*(1 - 2*v - 1) + 4*v - v - 4*v in the form h*v + z and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 383*t + 4030. Give l(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:40 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - 0.95. Which is the third biggest value? (a) -1\/2 (b) 3\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 322 - 156 = 0. Suppose -616 = -9*w + k. Let s = w - 88. Solve s*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i + 5*z, 2*i + 16 = 6*i - 4*z. Suppose 2*d + 3*b - 16 = 0, -2*d + i*d - 2*b + 4 = 0. Are d and 6\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 10. Sort -7, b, -3 in increasing order.\nAnswer: -7, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 + 9*c + 2. What is t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 116, 111, 90, 47, -24, -129?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 4*s + 8. Determine y(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - -16 - (-47 + -9 + 53)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let y(b) = b**2 - 8*b + 11. Let j be y(7). Let c(f) be the second derivative of 0*f**2 + 0 + 0*f**3 - 1\/6*f**j - 2*f. Calculate c(u(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 764, -3443?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 - 5 = 0. Suppose -42*i = 131*i - 1038. Solve -i*u = -c - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148240 = 204*a - 194*a. Let w = -8093 + a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -857*h + 9437. Let l be y(11). Calculate the highest common factor of l and 19105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -2*j**3\/3 + 3*j**2 + 3*j - 1. Let x be i(3). Solve -x*g + 30 + 5 = -4*t, -30 = -5*g + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 22. Let s = p + -12. Let k(c) = 4*c - s*c + 5*c. Let b(d) = d. Calculate k(b(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (28 - (-101 + (10 - -18))).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29*-4*(-10)\/4. Let g(w) be the first derivative of w**3\/3 - 31*w**2\/2 + 137*w - 174. Let o be g(27). What is the greatest common divisor of s and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from {t: 2, w: 5, x: 5, i: 5, g: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/13, 5\/6, -4, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.9994 - -13. What is m rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*s - 2*m + 28, -4*s + 3*m = 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 - 8671167*j**2.\nAnswer: -3*j**2*(j + 11561556)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6 = -4*a, -5*a + 10 + 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 12) to base 2\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11303\/(2\/3*(-342)\/(-228)). What is the highest common divisor of y and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(2\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/6)\/9*2. Is -1\/71 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93488?\nAnswer: 2, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 762101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 1. Let n be p(5). Let c = n + 423. Suppose 4*g + z = -c, 0*g = -g - 2*z - 111. Round g to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405046 (base 7) to base 16\nAnswer: -10d71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 845426, 3382103, 7609904, 13528835, 21138902, 30440111?\nAnswer: 41432468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 1:05 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/15 and -29\/909.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 22*h - 87. What is a(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.984966cm to nanometers.\nAnswer: 29849660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000550436 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*0.22341\nAnswer: -0.357456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**4\/5 + 14*y**3\/5 + 4*y**2\/5 - 2*y\/5 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.95 + -10.15. Let s = z + 13. Let d = -0.4 - -0.5. Is s bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-60.2075\nAnswer: -3.010375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 10*n**2 + 7*n + 13. Let c be b(9). Let h = 18 - 36. Let v = h + 15. What is the nearest to -0.1 in -4, v, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/163 (b) 4 (c) 30\/13 (d) 31 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-10)\/(-60)*8.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 28*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 30, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/45*(-36)\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1861 - 1779.3. Let f = -82 + l. Let h = 4 + -3.4. Is f >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeedddddded. Give prob of picking 1 d and 3 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -56.8. What is the nearest to 0.06 in -5, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*z + 475*z = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 481\/4, -2\/15, -2.412, 5 in descending order.\nAnswer: 481\/4, 5, -2\/15, -2.412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 + 2 + (-5)\/1. Let t = -7 + 11. Suppose 0 = 2*p - 2*l - r, -t*p - 6*l = -4*l - 54. Calculate the highest common divisor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(-1\/25))**3\/((k**(-5)\/((k**(2\/7)*k)\/k*k))\/(k**(-1))**(-10\/7)) assuming k is positive.\nAnswer: k**(5421\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2\/6 + 204155*r\/6 + 102070 = 0. Calculate r.\nAnswer: -40828, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/3 - 2063*y**3 + 30879*y**2 - 55485*y - 500094 = 0?\nAnswer: -3, 9, 6174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*-6*-1*6)\/((sqrt(567)*-2*4 + sqrt(567))*1).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 333a5172 - 9?\nAnswer: 333a5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Suppose -w*u + 5 = -15. Calculate the smallest common multiple of 1 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.5 + -85.3. Which is the biggest value? (a) x (b) -5 (c) -0.3 (d) 146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 26 = -10 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44665 divided by 44?\nAnswer: -44665\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20515.82l to millilitres.\nAnswer: 20515820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j + 7925 = -4*c, -25 = 5*c. Solve -9*i = -2572 + j for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 6, -14, -44, -90, -158, -254, -384?\n\"Answer: -r**3 + 4*r**2 - 21*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*y + 10 = 0, -i = 2*y + 2*y - 13. Let t(o) = -o**2 + o. Let v(n) = -5*n**2 + n - 1. Determine i*v(s) - 3*t(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5606967169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 62 + 318)*(-14 + 8*j - 6*j - j).\nAnswer: 350*j - 4900","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfzn when four letters picked without replacement from {q: 6, f: 3, z: 3, n: 7}.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 131. Let p(t) = -t - 67. Let j(n) = 4*a(n) + 7*p(n). Let f(o) = 2*o - 28. What is 5*f(l) + 3*j(l)?\nAnswer: l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3)*h**(1\/3))**30 assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/(-9)*((-19)\/2 + 8). Suppose -f + 5*f - y*f = 0. What is the closest to -2\/3 in 0.15, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314764474 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.861 rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 30*c + 245. Let g be p(-8). Suppose -44*j - 4 = -43*j, g*r + 4*j = 29. Solve -r*f - 9 = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 18*l**2 + 2*l + 38. What is the remainder when 14 is divided by w(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70))\/((sqrt(360) - sqrt(360)*-2) + sqrt(360)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*((0 - 1 - 1)*(4*u + 2*u - 8*u) + u - 2*u - 37*u).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 24\/11, -0.1, -5, -2, 1?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67350518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10. Let u be -1*((-168)\/(-7))\/(-6). Sort 1, q, u, 3 in ascending order.\nAnswer: q, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 93352.\nAnswer: -46676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -0.1, 31, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o - 69. Suppose 25 = 2*d + 3*t, -4*d - 4*t = -7*t - o. What is the greatest common divisor of d and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 2*u - 6*u = 26*w + 65, 2*u = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (170\/34)\/(1\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*q**2 - 102*q**4 + 5085*q**6 - 39*q - 464*q**4 + 566*q**4 wrt q?\nAnswer: 610200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454881?\nAnswer: 3, 7, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - z - 3*z)*(4*z + z - 3*z) + 3*z**2 + 0*z**2 - 2*z**2 + 140*z**2 + 3 + 25*z**2 + 162*z**2 - 3 as a*z + y*z**2 + d and give y.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**3 - 11*r**2 - r + 6. Let p(i) = 39*i**3 - 39*i**2 - 3*i + 21. Let h(s) = 18*k(s) - 5*p(s). Factor h(x).\nAnswer: 3*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 18667, 0.05, -4, 57\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 251706 - 251504 = 2*f, 3*d - 68 = -d - 4*f for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 5*g + 0*g**4 + 0*g**3 - 4\/5*g**5 + 0*g**2 + 2. Find the first derivative of o(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*x + 5*j, x + 6*j + 10 = 9*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.1 + 14.1. Sort c, -0.3, -1\/2 in decreasing order.\nAnswer: -0.3, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 - (397 + -415)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43632 (base 7) in base 11?\nAnswer: -8255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*t)**(-1\/8)*(t**(-1\/3)\/t)**8)**(-2\/43) assuming t is positive.\nAnswer: t**(775\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**2 - v + 2*v - v to the form l*v**2 + p + y*v and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - r - 11 = 3*r, 0 = 4*p + 3*r + 13. Let k = 1 + p. Suppose -7 = -3*l + 6*c - c, 5*l = 3*c + 33. Solve 2*y + l - 3 = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*v**2 + v + 58*v**2 + 74 + 52 + 3*v - 2*v wrt v.\nAnswer: 142*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1107 by -247252.\nAnswer: 1107\/247252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 149. Let q(a) = 2*a**2 - 2*a. Calculate j(q(y)).\nAnswer: -6*y**2 + 6*y + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -16*i + 12. Let q be d(-21). Suppose -6*n + q + 372 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 4*b - 3. Let x be q(-4). Let y = x + 6. Suppose -y*l = -k - 8, k + 12 = 4*l - 0*k. Solve -m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 329793 = -2*h + 188491, -3*h - 5*t + 777428 = 0. Suppose h = 3*v + 2959139. Let k be v - (2 - (-6)\/(-2)). Round k to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**7\/105 + 37*k**6\/60 + 7*k**5\/3 - 13*k**2 - k. Factor m(c).\nAnswer: 2*c**2*(c + 2)*(c + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 1725174547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 - 2*r**2 - 2 + 15*r**3 - 2*r + 4*r**3 + 5*r. Let b be v(1). Let k = -7 + b. Solve 5*n - k = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(5 + 3 - 5) + 3*q - 5*q + 5*q + (4 - 2 - 4)*(4*q - q - 4*q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1894285654 and 178379.\nAnswer: 1894464033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4029 - 3918. Solve -104*w = -q*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -344.7 - -394. Let r = k + -52. Let q = r + 2.6956. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -4*d - 4*v, 2*v + 5 - 3 = 0. Let h = 4 + 2. Suppose -4*o + 3*b + 46 = 0, h*o - 2*b - d = o. Calculate the remainder when 37 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -3 (d) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338174333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -171860*y**2. Let v(t) = -t. Determine v(q(p)).\nAnswer: 171860*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmrm when four letters picked without replacement from mppmprprmpprtppppprp.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 185109*t**2 - 11480317*t - 52773735.\nAnswer: (t - 185171)*(t + 5)*(t + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 10) in base 12?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(1\/10))*w))**(2\/41)*w**(-1\/7)\/w**(-2\/77) assuming w is positive.\nAnswer: w**(-1768\/15785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/52*(-4)\/(-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 16*q + 48. Give y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + r - 4, -3*b - 2*r = -4*r - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v**2 + v**4 + v + 7*v - 2*v**3 + v - 4*v - 3*v as o + b*v**2 + d*v + x*v**4 + h*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((28672\/20)\/8)\/(2*3\/30) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -1\/35 (b) 2\/11 (c) 0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/105 + u**6\/20 + 9*u**5\/20 + 4351*u**4\/24 - u**3\/6 - 2007*u**2. What is the second derivative of p(o) wrt o?\nAnswer: 24*o**2 + 36*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11886758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524899939 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/5)\/(v*v*v\/v**(2\/21))*(v*v*v**0*v*v)**(7\/12)*(((v**(1\/16)*v)\/v)\/v*v*v*v*v*v\/v**6*v)**44 assuming v is positive.\nAnswer: v**(-5771\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - z - 92, 52 = 3*l + z. Calculate the greatest common factor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**4 + 2*o**2 + o**3 - o**4 + o + o**3 as x*o**4 + b + d*o + y*o**2 + i*o**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 146, -3\/7, 262, 1\/4, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 11:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2513353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*l + 103 - 31 = 1018*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9579 divided by 3193.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 2*x = 4*x + 811 + 855 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 271 + -215 - (0 - -56)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6108683 or -6108684?\nAnswer: -6108683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 - 12*c - 11. Let f be v(6). Let k(q) = 3*q**2 - 33*q - 4. Does 55 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130180)\/(-276))\/283*4\/(-30).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + (-165)\/25. Let u(l) = -l**2 - 7*l + 4. Let a be u(h). Let t = a - 4. Solve 2*y + t*y - 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 1289025*u + 199611*u**2 + 5*u**4 - 48753*u - 2*u**4 - 1566*u**3 + 1881792 = 0.\nAnswer: -3, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3203 = -10*c + 3523, 3*c - 101 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4748 (b) -4 (c) 3 (d) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6\/91 (b) -6 (c) -0.09247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -155337772.2 to the nearest 10000.\nAnswer: -155340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 799450220 to the power of 1\/2, to the nearest integer?\nAnswer: 28275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvd when three letters picked without replacement from vhhda?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -2, -22 in increasing order.\nAnswer: -22, -10, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9168 and 3715332?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.98 - -0.02. Let h = n - 4. Let o be 8\/(-5) + (-2 - -3). Which is the third smallest value? (a) h (b) -1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -22)*170\/(-60).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/132924 and 27\/16?\nAnswer: 531696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*p**3 - 30*p**3 - p**3)*(1 + 3 - 5)*(2 + 0 + 0) as z*p**3 + n*p + s + r*p**2 and give z.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**3*v**3 + 3*m**3*v**2 + 5*m**2*v**2 - 4*m*v**3 wrt v?\nAnswer: 72*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s + 6*s + 7*s - s to the form a + f*s and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = 211*o - 216*o + 5*j, -4*o + 91*j + 6449 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-6)*(-12)\/(-21).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1348.2 - 1348. Which is the third biggest value? (a) f (b) -2\/23 (c) -3\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:35 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 1\/4, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 529813281 to the power of 1\/2, to the nearest integer?\nAnswer: 23018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10304340.\nAnswer: 2, 3, 5, 263, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.93 - 0.07. Let o = 11.4 + p. Let c = -1.4 + o. What is the third smallest value in -0.1, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, v: 5}. What is prob of picking 3 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/126 and 23\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 23. Let m(i) = -17*i - 65. Let a(r) = -3*m(r) - 8*p(r). What is a(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in -6, -645, -0.1, 0.5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2\/y)**(-1\/8)*(y*y**2)\/y**1)**(1\/12) assuming y is positive.\nAnswer: y**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x + 39. Give u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 23, -2, -3, -94\/19 in increasing order.\nAnswer: -94\/19, -3, -2, 3\/4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1399 + 1395. Which is the second smallest value? (a) 0.03 (b) r (c) 2\/11 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3025 - 3029. Let y = 7.3 - 7. What is the second smallest value in y, 1, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1841*y + 14721. Calculate l(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763885, -763880, -763875, -763870?\nAnswer: -763865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:57 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 557*c - 47*c + 566*c + 77*c - 38*c in the form k + q*c and give q.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -63. Suppose 4*k - n + 9 = 0. Solve -i = -3*a + 6, -k*i - a - 4 = -19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -149. Solve -u = c*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12312 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39429.\nAnswer: 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*h - 6*h - 305 = 0, -4*h = 5*s + 380. Let y = s + 566\/7. Factor y*r**3 + 10\/7*r**2 - 18\/7*r**4 + 2\/7*r + 0.\nAnswer: -2*r*(r - 1)*(3*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844573131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2209.1 + -2209. Let j = -19 - -49\/3. What is the nearest to j in 4, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**4\/3 + 2*w**3\/3 + 3*w**2\/2 + 3*w. What is q(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 47*x - 92. Determine t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389738 or 389733?\nAnswer: 389733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1)*(183 + 1234 + 133).\nAnswer: -1550*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {e: 1, y: 1, m: 1, c: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-111 + 273 - 167 + 194*a) as f + d*a and give d.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 divided by 4877.\nAnswer: 513\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*18\/4. Solve 3*x - 5*u - 24 = x, -3*x - h = 3*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 11}. Give prob of sequence oo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -449 + 5*v**2 + 429 + 3*v - 4*v**2 + (2 + 1 + 4)*(0*v + v**2 + 0*v).\nAnswer: 8*v**2 + 3*v - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {j: 9, v: 4, e: 4}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-150)\/45)\/(80\/(-96)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z**4 + 0*z**4 + z**4)*(-22 + 57 + 29) as b*z + c*z**2 + t*z**3 + y + m*z**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 27*i**2 + 26*i**2 - 22*i**2.\nAnswer: 31*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.05 - -0.05. Let j = 182531 + -182527. Which is the closest to m? (a) j (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-26)\/975*-15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - k + 336. Let a be r(0). Suppose -11*h = -60 - a. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d + (2 + 3 - 4)*(-d + 0*d + 2*d))*(-8*d**2 + 2*d**2 + 3*d**2 - 2).\nAnswer: -6*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12196 + -12200. Let i = -1 - -1.1. Which is the biggest value? (a) v (b) i (c) 3\/13 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5580.2 - -5581. Let c = 12 - 7. What is the biggest value in c, 3, 0.5, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2263*b - 4394. Determine a(2).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1435 and 29?\nAnswer: 41615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(3 - 3 - r**3).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 640\/3 + (-7)\/21. Let w = -204 + t. Solve -13 = 4*j - w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90153140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -172*a**2 - 28544*a + 1328 = 0?\nAnswer: -166, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 3*f**2 + 5*f - 4. Suppose 3*m + 1 = -2*j + 12, -3*j - 6 = -3*m. What is z(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4314882 = -155*c - 166*c. What is the least common multiple of 22 and c?\nAnswer: 13442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 - 58795*m**2 - 172754375*m + 518792415 = 0.\nAnswer: -5881, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.23 and -1?\nAnswer: 12.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:58 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 2*b + 8. Let u be n(-6). Let p = -48601 + 48607. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1737723061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 0*m)*((-2*m + 5*m - m)*(4*m + 2*m**2 - 4*m) - 6*m**3 + 2*m**3 + m**3 - 1019*m**2 + 1019*m**2 + 14*m**3).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/(-6489)*28\/38?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427\/3774 - -1\/222. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 14974?\nAnswer: 14973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -44. Let n = m + -18.85. Is 0.1 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = -2*d, 14*d = 20*d - n - 11. What is the fourth biggest value in 193, d, 2\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10626 (base 7) in base 10?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -600 - -145. Let s = t - -481. What is the remainder when 519 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(0 - (-1)\/2). Let j(t) = 18*t - 4*t - 10*t - 6*t. What is j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1655 - 1655.1. What is the closest to -19 in k, 8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-7))\/((-9)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 202 = -37*x, -o + x - 2 - 10 + 0 + 1 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - (-6 + 4)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4 + 6 + 6)*(-8)\/(-2) and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 + 248*l - 1495. Let j be u(41). What is the highest common divisor of 7705 and j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 2, 1, 0, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeccmgeemcccc. What is prob of sequence gm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025961 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 6. Let m be b(-3). Let f = -2092774 - -6116108. Suppose -153334 = -m*d - f. Round d to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -103?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is da9 - 2d4?\nAnswer: ad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94678?\nAnswer: 2, 47339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2\/39)*a*a*a**39\/a*(a*a**(2\/5)\/a)\/(a\/(a\/(a\/(a**(-33)\/a)))) assuming a is positive.\nAnswer: a**(1238\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1557, -12336, -41525, -98310, -191877, -331412, -526101, -785130?\nAnswer: -1117685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1624 - 25999\/16. Let p be (-8 + 5)*1 - -3. Are p and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4 and -1035.\nAnswer: -1033.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 4*f - 2. Let g be r(-1). Let a(l) = -65*l**2 + 83*l**2 + 132*l**2 - 1. Is a(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = -p. Solve 2 = -4*s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(2299) + -3 + sqrt(2299) - (2 + sqrt(2299) + 3 + sqrt(2299)))*4*2 + 2)*-6)**2.\nAnswer: 219024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1601642 - 843466. Let s(h) = -599*h**3 - 14*h**2 + 15*h - 2. Let d be s(13). Let a = d + f. What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 114699048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-3 - (3 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*q - 5712 = 0, 2*s - q - 3822 = -6*q. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -562*r - 79. Let y(a) = -a - 2. Let j(c) = i(c) - 6*y(c). Is j(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/4 + 62*w + 123 = 0 for w.\nAnswer: -246, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w + 9. Let s be f(-9). What is the tens digit of ((-3)\/(-1))\/(s\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4016974 and 20084870.\nAnswer: 20084870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28000*p + 56400*p + 34248*p + 3 + 0.\nAnswer: 62648*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {t: 1, r: 2, u: 3, k: 3, s: 3, w: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 177952870*j**2 - 177952870*j**2 - 2*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.02963\nAnswer: -0.008889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(-1 - 4\/(-36))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257 and 144042589?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124938 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-2*b - 1 + 0 - b)*(-3*b + 1 - 1) as y*b + d + i*b**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47974337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-5*u**2 + 3*u**2 - u + u**2).\nAnswer: -3*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.8 * 0.5.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 3\/(-6)*-6. Suppose -p = -y - y. Suppose 0 = -2*h - 5*u + 9*u + 40, h + u = 29. What is the remainder when h is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 - 66. Let g be (168\/(-40) + 4)*1135. Let y = g + s. List the prime factors of y.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -76*g - 47. What is the units digit of a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 3*s**2 + s. Let r be t(-3). Let g = -10\/39 + 1\/156. Which is the second smallest value? (a) 4 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -676, -4, -1173 in decreasing order.\nAnswer: 2, -4, -676, -1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -1.1. Suppose -45 = -5*x + 10*i, -5*x + 117*i - 39 = 121*i. Which is the closest to x? (a) -2\/3 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*q + 224*q + 21*q**2 + 19*q**3 - 21*q**2.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7356 divided by 5\nAnswer: -7356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-90)\/(-40). Suppose a*q - 136 - 42 = 0. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -186.\nAnswer: 130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28898*u**2*w + 6*u - 6*w - 32046 wrt u.\nAnswer: 57796*u*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2466472 divided by -616618\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58163*d**2*g - 2*d**2 - d*g*z - 2*g*z - 1023966*z wrt d?\nAnswer: 116326*d*g - 4*d - g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44*(-541 - 19)\/(-16). Calculate the highest common factor of t and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let b be (-1 + 0)*(k + -5). Let l(j) = -j**3 + j**2 + 100. Is 25 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 17*d + 12. Determine l(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 384 - 339 = 0. Solve -d = -1 + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162 - -170) + (1 - 7 - 1 - (34 - 30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.3, -0.1313, -9, -1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - 18.86. Let x = -19.015 - y. Let w = -9.615 - x. Round w to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**3 + 5*z**2 + 5. Let t(i) = i**2 + 1. Give -l(a) + 5*t(a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) 12 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*o - 59979419 + 13344751 - 56432132 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5488? (a) -3 (b) 0.5 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.91 + -35.11. Let j = 6009\/11 - 632144\/1155. Let v = j + 17\/15. Which is the nearest to k? (a) -0.2 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*n + 49. Suppose -d + n = 1. Suppose 16 = -0*t + 4*t. Is t bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20456 and 51140.\nAnswer: 102280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3448000 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6165 + -6164.93782. What is y rounded to 3 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 14*y + 11. Let b(o) = -2*o - 1. Let w(p) = 2*b(p) + f(p). Let c be w(-18). Solve -x = -3*x - v - c, v + 4 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 - -370. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19559 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 7*f + 11. Let g be d(-8). Let t(b) = 22*b + 6. Let k be t(g). Suppose -u - 3*u = -k. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2312*j - 1731684. Calculate o(-749).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2174 + 2190. Let y(g) be the third derivative of 0*g - 1\/20*g**5 + u*g**2 - 3\/2*g**3 + 0 + 1\/2*g**4. Factor y(n).\nAnswer: -3*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2 + 6257*i\/2 + 9381\/2 = 0.\nAnswer: -3127, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -870993, 1\/5, 0, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1886, -2068, -2370, -2792, -3334?\n\"Answer: -60*p**2 - 2*p - 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-1\/4))\/l)\/l*l*l)**(-14\/3))**(-4\/7) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let d(x) = -2*x**2 - x + 28. Let j = 50 + -51. Let p(s) = j*u(s) - d(s). Determine p(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Let x be 3 + -1 + v + -3. Find the second derivative of 2*q**4 - 4*q + x*q**2 - 2*q**2 + 0*q**4 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73c96c35 + 2?\nAnswer: 73c96c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 194, 195, 196, 197?\n\"Answer: y + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024408 to five dps.\nAnswer: 0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*p + 2673 = -192*p + 66*p + 69*p for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*215.\nAnswer: 40.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256407.\nAnswer: 3, 85469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*9*(-12)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 237415893 divided by -11\nAnswer: -21583263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 45, 112, 215, 360?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -3, 2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 q, and 1 m when three letters picked without replacement from {i: 1, q: 2, h: 1, m: 3, f: 1, a: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 64 - 56 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*y - 206 - 39, -5*d = 5*y - 450. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3352 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107998687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108478298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -8000)\/((-8)\/(-1340)). Round u to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/(-25)*-6036)\/(1 + (-52)\/40).\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162.954 + -0.2.\nAnswer: -163.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Let w(d) = 1 + 0*d**i + d**2 - 5 + 2. Let m = 5 + -7. Calculate w(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 656.\nAnswer: 1\/328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 4*w - 3*l + 44, -17 = -14*w - 3*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 1. Let y be k(-1). List the prime factors of (-2)\/y*-4 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.11 - 19. Let k = 10.75 + -10.5. Let b = k - x. Round b to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -91?\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(171) - sqrt(171))\/(sqrt(576)*-1) - (sqrt(2299)*2 + sqrt(19) + -1 + sqrt(19) + 4).\nAnswer: -95*sqrt(19)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (4 + -5)*1. Suppose 4*d + 4*x = 8*x + 48, 48 = a*d + 4*x. Solve 6*o - d = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away 7.4?\nAnswer: -7.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-13 - -24))*(-10)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007094826 to 5 decimal places.\nAnswer: 0.00709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 34, 11, -50, -161?\n\"Answer: -2*z**3 - z**2 + 20*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 479671.6ng in kilograms?\nAnswer: 0.0000004796716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*i + 5587 = 20*i - 1134 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 66307*c**2 + c + 2. Let j be y(1). Round j to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p + 11. Let h(v) = 9*v - 5. Let q(c) = -7*h(c) - 3*y(c). Let j(z) be the first derivative of 2*z**2 - 103802. Determine q(j(k)).\nAnswer: -24*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*r**4 - 6*r**4 + 44*r**4 + (-1 + 5 - 3)*(3 + 2372*r**2 - 2372*r**2 - 10*r**4).\nAnswer: 13*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/(f**(1\/6)\/f))\/(f*f**0\/f*f*f)**(-32\/5) assuming f is positive.\nAnswer: f**(529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41101352 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 37 + 131500*m**3 - 131504*m**3.\nAnswer: -4*m**3 - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 6, -2\/9, 0.1, 36\/73, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3435927?\nAnswer: 3, 11, 104119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*l + 25660 = 0, 3*l + 31375 = 5*y - 703. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**3 + 14*b**2 - 20*b - 30. Let z(v) = 7*v**3 + 28*v**2 - 39*v - 59. Let j(c) = -5*o(c) + 3*z(c). Let w be j(-15). Put w, 4, 2 in increasing order.\nAnswer: 2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10216541469.9999563 + 10216540962. Let a = 508 + i. Round a to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*2\/6 - (-2 - -3). Let t be 5 - y\/(3 + -6 + 2). What is p in -2\/9*p**2 - 2\/3*p**t + 0*p + 2\/3*p**3 + 0 + 2\/9*p**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-122)\/(-4392) + 1\/(-4). What is the closest to -26 in n, 43\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**(1\/9)*x**5\/(x*x*x**(-6)))\/((((x*x**1*x)\/x*x)\/x*x\/x**(3\/4))\/(x\/(x*x*x**0*x))**(-1\/8)) assuming x is positive.\nAnswer: x**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011614859708 rounded to 7 dps?\nAnswer: 0.0001161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/(1\/3)*-1*-15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(4*y**2 - 5*y**2 + 2*y**2) + 4*y**2 - 9 + 9)*(-6*y - 5 + 5).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4183602 rounded to three dps?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 - 11*b**4\/12 - 8*b**3\/3 + 40*b**2. Calculate the smallest common multiple of 5 and o(23).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/27 and 37\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*p + 100*p + 28728 - 28723 - 3*p - 2*p + 3*p + 2 + 2*p - 2 + (3*p + 2*p - 3*p)*(0 + 1 + 1) + 2*p - 2*p - p.\nAnswer: 32*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2926 and 2926.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 5*n**2 + 2*n**2)*(-1 + 2 - 5) + 2*n**2 + n - n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8465 divided by 1\nAnswer: 8465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*f**3 + 55*f**3 - 408*f**3 + 51*f**3.\nAnswer: -491*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 713547212?\nAnswer: 713547207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 336.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as -232\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 2*x + 14, 3*l - 6*x + 4*x = 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-14))\/4)\/(2\/(-112))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 284? (a) -0.2 (b) -2 (c) 6 (d) 1\/2 (e) -7 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x + 14. Let z be p(8). Let f(n) = -n**3 - 16*n**2 - 2*n - 17. Let w be f(-16). Calculate the highest common factor of z and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30084264 is divided by 4857.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from hdhydyyydhyhy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -8, 1.243?\nAnswer: 1.243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*1 + (-10 - 84\/60))\/((-19)\/15)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 181*l + 1871. Calculate n(-81).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose -5*o + 5*c + 25 = c, -o + m*c + 16 = 0. What is the tens digit of (o\/(-3))\/(8\/(-480))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 1785973.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13606801*c**5 + 66502791*c**2 wrt c.\nAnswer: -816408060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/31 (b) -2\/47 (c) -0.3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340 - -350. Solve 6*z = -i + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1366822315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.15 - 21.15. What is the nearest to 4 in f, 5, -0.03, 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (5 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26404 and 41.\nAnswer: 26404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306106?\nAnswer: 2, 41, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713676.\nAnswer: 2, 257, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -369988, 4, 13 in descending order.\nAnswer: 13, 4, -369988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2 - (-4 + 4)). Suppose 6 = 3*x, 2*t - x - 338 + 130 = l. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8569024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 63472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -26 - (-22 - (10 - 16))) + 82.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3 - 31. Is (-11)\/((-2)\/(14 + i)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 20*s**2 - s + 26. Let w be v(20). Sort 3, w, 0, 4 in descending order.\nAnswer: w, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = -3*o + 11*o. What is the remainder when 81 is divided by o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 600429 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16848*m**3 - 2*m**2 + 2*m - 166332 wrt m.\nAnswer: 101088*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -103\/7 (b) 0.04 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-6)*2)\/(20\/(-60)). Let h be 6 + 0 - s - -3. Which is the second smallest value? (a) 5 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10.7. Let p = 5 - r. Let k = p + 0.2. Which is the second biggest value? (a) k (b) 0.2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 967147807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2077 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*((r\/(r\/(r**(-2\/9)*r*r)))\/r)\/r*r*r*r**(1\/31) assuming r is positive.\nAnswer: r**(1063\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 17. Let a(s) be the second derivative of -2*s**3\/3 + 3*s**2 - 3*s. Let q(h) = -17*a(h) - 6*m(h). Let k(z) = 4*z**2. Determine q(k(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 876, 0 in decreasing order.\nAnswer: 876, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2036 (base 11) to base 7\nAnswer: -10606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 9) to base 5.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 - 9*f + 8. Let i be d(6). Let y be (-5)\/5*(-2)\/i. Let r = -89\/2 - -43. Which is the second biggest value? (a) 2 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364253 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 42. Let n(i) = i - 49. Let s(l) = -7*c(l) - 6*n(l). Let r(f) = -3*f - 8*f + 4*f. Calculate s(r(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 7. Determine p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 17. Sort 1, -4, m in descending order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, 122, 576, 1492, 3026, 5334, 8572?\n\"Answer: 26*d**3 - 3*d**2 - 25*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005839594 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.10935 + -21.5?\nAnswer: -17.39065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-2))\/(11\/(-88)). Let v = a + -12. Let g be 44375\/((-3)\/1920*v). Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 659172395?\nAnswer: 659172395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 0)*-6*1 + (sqrt(13) + (sqrt(26)\/sqrt(2)*-1 - sqrt(13)) - (sqrt(39)\/(sqrt(12)\/sqrt(4)) + sqrt(13)))*6)**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(605) + -5) + 0.\nAnswer: -55*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*h - 540*h - 20 = 0. Put 5, -5, h, 33 in descending order.\nAnswer: 33, 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/5 - 78*c**2\/5 + 348*c\/5 - 72 = 0.\nAnswer: -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/11 + 28*a**2\/11 - 122*a\/11 + 168\/11 = 0?\nAnswer: 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 - 1 = 0. Suppose 4*o = 18 - 2, 3*l - k*o = 0. Solve 3*d + 5 = -l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 5828.\nAnswer: -5827.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -214. Let x be 18\/(-4)*(-2 + -2). Find n, given that p + 3*n**2 + 15*n**2 + 3 - x*n + 9*n**2 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*d**4 - 2360*d - 124*d**3 + 298*d**4 + 127*d**3 + 134*d**3 - 135*d**3 wrt d.\nAnswer: 2112*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = -4813*i + 4809*i + 4*k, 5*i - 10*k = -315 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7988, -7985, -7982, -7979, -7976?\n\"Answer: 3*i - 7991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*-1*0. Suppose t - 3*t = -4, 5*t + 29 = -3*v. Let n = v - -17. Solve -5*x = n*u + 13, 5*x + 2*u + 9 = -h*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7098 is divided by 355.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116698 and 61503.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0186299 rounded to 5 dps?\nAnswer: 0.01863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*(c**1\/c)\/c)**41*((c*c\/(c**(-2\/13)\/c))**17)**(1\/2) assuming c is positive.\nAnswer: c**(-369\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(13) + 5).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -0.46189856.\nAnswer: -9.2379712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (50 + 1) - -4. Let y be (b\/(-36))\/((-1)\/(-4)). Is 7 a factor of (2 + y - 2)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.343534 nanometers?\nAnswer: 0.000002343534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*n + 7. Suppose n*u + 2*u - 480 = 0. What is the greatest common divisor of 48 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**8\/42 + z**5\/30 + 3*z**2. What is the third derivative of r(f) wrt f?\nAnswer: 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 2*b)*(-253*b + 3277 - 3277).\nAnswer: -759*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-204)\/(-16)*(-110212)\/(-177)?\nAnswer: 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Let k(x) = -2600*x + 22. Let f(w) = -3481*w + 29. Let g(c) = -7*f(c) + 9*k(c). Give s(g(p)).\nAnswer: -935089*p**2 + 9670*p - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811139 is divided by 715?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 34*g - 39*g + 63, 9 = -3*j. Let y = -26 - -38. What is the highest common divisor of y and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8187 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b - 6. Suppose -5*t + 23 = -3*g - 11, t = -5*g + 18. Suppose -4*z = -t*z + 32. Does 12 divide x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.29713 and -2233933463.\nAnswer: -2233933461.70287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 12) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.4 + 5.4. Let m = 58 + g. Which is greater: 59 or m?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n + 3*n)*(-435 - 634 + 103 + 191)*(0*n - 2*n - n).\nAnswer: -2325*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1336 + -915. List the prime factors of r.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -1\/33 (c) -0.11 (d) -3 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/105 - r**4\/42 - 46*r**2 - r. Let m(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*p - 20, 48*j + 24 = 45*j + 6*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(60)\/sqrt(5)) + -2 - (sqrt(63)\/(sqrt(9)*1 - sqrt(9) - sqrt(9)) + -5).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/25, -0.119, -8\/9, 3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 + 56751?\nAnswer: 56707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 253*r**2 + 4*r - 30 wrt r?\nAnswer: 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let b(q) = -18*q - 10. Let n(i) = 6*i + 3. Let p(t) = 3*b(t) + 10*n(t). Calculate p(g(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2816*k**2 - 3*k + 1 + 1406*k**2 + 1409*k**2. Determine p(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/3 + 483. Let j(b) = -4 + 1 + 1 + 18*b. Give f(j(v)).\nAnswer: 648*v**2 - 144*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)*2)\/(sqrt(75) - (sqrt(75) + 1*sqrt(75))) + 3)**2.\nAnswer: -36*sqrt(13)\/5 + 693\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30464 is divided by 242.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let j(p) be the second derivative of 13*p**3\/6 + 15*p. What is u(j(z))?\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*(1 + -1)\/(-4). Let a be 12\/(-4)*3\/(c - 1). Suppose 5*x - 20 = -5*h, 5*x = -h + 4 - 0. Solve a = -f + 3*j, -h*f = f + j - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2939*q**2 - 220*q**2 - 230*q**2 + 1695*q**2 as n*q + s*q**2 + o and give s.\nAnswer: 4184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-8\/9)*d)*d*(d\/(d**(-4)\/d))\/d*(d*d**(-1\/8))**(3\/26) assuming d is positive.\nAnswer: d**(13085\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ndnpddndpnpn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -85\/7. Which is the biggest value? (a) l (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.7 at least as big as -49258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*w = 17, 0*w - w = 4*f + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 + 6*r + 2. Let p be v(7). Sort p, -2, 3\/2 in decreasing order.\nAnswer: 3\/2, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -5. Let c = 15 + l. What is the second derivative of 8*i + 9*i**2 - c*i**2 + 8*i**4 wrt i?\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((5 - 4) + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*h + 21, 3120 = -73*i - 3*h + 2910 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017350432 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pexx when four letters picked without replacement from xxpxppxeepxpx.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140683 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**2 - n + 1. Let o be c(-2). Suppose b = 4*b - o. Solve b*m - 5*r = 4*m, -4*r = 4*m + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppii. What is prob of picking 2 p and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2\/2 - 6*y - 1. Let s be p(-3). Sort s, -0.1, 4\/7 in ascending order.\nAnswer: s, -0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -38 + 17 + -3 + -8 + 32.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let a(f) = f + 3. Let l be a(-4). Suppose 3*w - 7*w = 0. Let d(j) = w + 0 + j + 1. Give l*b(h) - d(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -488951\/16 - -114385\/4. Let u = -1961 - k. Calculate the common denominator of u and 11\/7*(-9)\/2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/18 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06872878061 rounded to five dps?\nAnswer: 0.06873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*c**2 + 50183*c + 50176*c - 5 - 100359*c in the form x*c + d + n*c**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-32\/7)\/n)**(6\/13)\/((n*n**(-1))\/n*n*n**(-33)\/n) assuming n is positive.\nAnswer: n**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.1, -208, -26?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -2\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 742499*k**2 - 3*k + 7. Is m(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2617956 - 754530 = -6*w. Let a = 208081 - w. What is a rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122018*k**2 - 3169*k**4 + 122018*k**2)*(0*k - 3*k + 5*k).\nAnswer: -6338*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(312)\/(sqrt(12)*-2 + sqrt(12)) + sqrt(26))\/sqrt(2)*-1*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497?\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttg when four letters picked without replacement from {g: 3, t: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1040334 (base 6) to base 15\nAnswer: 105ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100011110001110000111?\nAnswer: -100011110001110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104584175 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, -10, 4 in ascending order.\nAnswer: -18, -10, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.94473 rounded to 1 dp?\nAnswer: -66.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 z when four letters picked without replacement from ozoooozozzozwzoozoo.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -1054552230?\nAnswer: -1054552235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1722 and 53\/54?\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1550\/(-12000)*-32 + 2\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -7*w + 22*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 7. Let a(q) = -5*q - 9. Give 2*a(y) - 3*r(y).\nAnswer: 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**6\/360 - u**3\/3 + u. Let t(p) be the second derivative of v(p). Let r(f) = -2*f + 0*f + 4*f. Determine t(r(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*p - 120, -68*p + 65*p = -f - 24. Let v be 69\/f + 3 + 574\/16. Solve v*k - 9 = 39*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 - 5*k + 2. Suppose 0 = -0*m + 4*m - 20. Let y be w(m). Which is the third biggest value? (a) -2\/3 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - ((-68)\/85 - 2997\/485). Which is the closest to 1\/4? (a) h (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 24, 44?\n\"Answer: 20*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 1\/37 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 335593 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 396*z - 32084. What is d(-465)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148\/448 + 68\/14 + -5.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - -1 - (-253 - -391)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5770*k + 5912*k - 6 - 11585*k. Let d(z) = -5*z**2. Determine n(d(t)).\nAnswer: -485*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 334, 1 in increasing order.\nAnswer: -5, 1, 2, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l - 8. Let s be u(6). Let m(c) = 0*c**2 - 2*c**2 - s*c**2 - c**2. Let v(b) be the third derivative of -b**4\/12 + 2*b**2. What is v(m(p))?\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibhhbbb. Give prob of picking 2 b and 1 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsycyqyqydd. Give prob of picking 1 s, 1 d, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -11*c + 99. Let j(b) = b**3 - 6*b**2 - 7*b + 12. What is the remainder when c is divided by j(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiufunnnn. What is prob of sequence ufni?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 264692 + 5?\nAnswer: 264697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/2 + -3 + 1. Suppose -a + 8 = t*k, -3*a - k = a + 1. Put a, -5, 2 in ascending order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1714, -2027, -2354, -2701, -3074, -3479?\nAnswer: -3922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**3 - 162*c**2 + 192*c + 344 = 0.\nAnswer: -86\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2791, 2783, 2763, 2725, 2663, 2571?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 114. Solve -3*p + o = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 3*r + 3*r)*(-r**2 + 0 - 2 + 126*r - 94*r) to the form a*r**2 + o*r + y + j*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 2*z = 15*z - 4*f + 62, 0 = 19*z - 3*f + 764 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*z**3 + 153*z**2 - 300*z**2 - 4 + 147*z**2 + 2*z**3 - z to the form p*z**3 + u + d*z**2 + b*z and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 1. Let v(z) = 2*z**2 - 2*z - 7. Calculate 2*b(s) - v(s).\nAnswer: -2*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 5*k + 2. Let m(o) = -o**2 - o - 1. Let v(s) = 5*m(s) - r(s). Let h(z) = -z**2. What is v(h(p))?\nAnswer: -3*p**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -482 - -477. Suppose 4*j - 2 = 14. Which is the second smallest value? (a) -0.4 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3535*q**3 + 3718*q**2 - 32507*q + 32507*q wrt q?\nAnswer: 21210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8805\/11 - -801. Is 0 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -11?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(175) + 3 + 3)**2 - (sqrt(210)\/(sqrt(6)*2))\/(sqrt(180)*1).\nAnswer: 2879*sqrt(7)\/12 + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203845001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5096317.\nAnswer: 23, 43, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 53. Let m(u) = -5*u**2 + 3*u - 31*u**3 + t*u**3 - 5*u + 6. Determine m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/13 - 25306*r**2\/13 + 307416*r.\nAnswer: -2*r*(r - 156)*(r + 12809)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4933, -4934, -4935?\n\"Answer: -a - 4932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1164.\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 8*s - 7. Let u = -10 + 4. Let t be w(u). Let f = -84 - -90. Solve j + 18 = t*r, -r - j + f = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let v = 5 - 6. Let u = v - 1. What is the second smallest value in 0.2, d, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/6 - 3*r**5\/5 + 512*r**2 + 418. What is the second derivative of d(n) wrt n?\nAnswer: -20*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 11*i + 163. Let m(a) = a**2 + 13*a + 54. Let b be m(-8). What are the prime factors of k(b)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxd when four letters picked without replacement from dxxxxxxxd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/25942 and -13\/2380.\nAnswer: 259420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 775426 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*w = -41, 2*p = -94*w + 91*w + 23. Let v = -34 + 13. What is the second biggest value in 0.4, v, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 38150 = -14*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275257753?\nAnswer: 1367, 201359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 40. Let i = s + 89.7. Let g = -1.7 + i. Put -0.2, -3, -4, g in decreasing order.\nAnswer: g, -0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25737073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 818.3926nm?\nAnswer: 0.8183926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18*d - 29. Let m be z(13). Let r = -245 - m. What is the remainder when 138 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/42)\/(63\/(7560\/640)).\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26288408 to the nearest integer?\nAnswer: 5127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2790 and 8361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 734?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*d = -14*z + 235*d + 432, d - 7 = -3*z - d + 75 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -22*o**3 + 7*o**2\/2 + 3*o. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.05 (b) 1\/45 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l - 1411 - 9364 = 1067 + 5176 for l.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 194*h - 1166. Let c be a(6). Sort c, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 q when three letters picked without replacement from ftjftfqffttqtffjtf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2. Let f = -76 - -75. Determine m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680 a factor of 21854960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1400 - -1400. Let m = -5.9 + 0.9. Sort q, -3, m.\nAnswer: m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*n = -5*l - 12, -2*l = -4*n + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 4. Let i(y) = 4*y + 9. Let b(w) = 2 + 2 + 0 + 2*w. Determine o*b(v) + 3*i(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23 + 43*f + 50 - 26*f wrt f?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - 20\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 96 - 16 = 0. Suppose -5*u + 3*y = -75, -4*u + l = -2*y - 38. Calculate the highest common factor of 18 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/156)\/((-4)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 17.8. What is the nearest to w in 0.2, -4, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212198.756 + -0.8\nAnswer: 212197.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -5.9. Let i be (-2)\/4*(-15 - -15). Let j be 2 + i + 5\/(-3). Sort 2\/3, d, j in ascending order.\nAnswer: d, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpoxmbh. What is prob of picking 1 p and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let x = -504 - -44. Let s = -459.5 - x. Which is the biggest value? (a) s (b) -4\/7 (c) m (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4 + 78\/24)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 35080?\nAnswer: 3508b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 12. Suppose 20 = 18*v - 16*v. What is r(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 4*h - 34\/9.\nAnswer: -2*(h + 1)*(h + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 + 4*p**2 + 0*p**3 - 5*p + 0*p**6 - 7\/60*p**5 + 1\/24*p**4 + 2\/15*p**7. What is the third derivative of x(u) wrt u?\nAnswer: 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 + 7984\/35. Let b = 11\/210 + w. What is the closest to -1 in -2, b, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2271 (base 15) to base 6\nAnswer: 53454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 882 - 990. Is -754\/7 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*s + 6 = -333*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 42470?\nAnswer: 169880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9141 is divided by 4148.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, t: 5, b: 2}. Give prob of picking 2 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-192))\/(11\/8)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from dwlcwdllcllwlwwldww?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p + 1. Let s(m) = -6*m**2 - 5*m - 6. Let j(v) = -6*s(v) - 33*x(v). Is j(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 7.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 3*v**2 + 4*v**2 + v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((60\/80)\/(2\/8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 159384086.\nAnswer: -1\/79692043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -18192.67 to the nearest one hundred.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/16, 0.02, -207, 1.6, 3\/7 in ascending order.\nAnswer: -207, -9\/16, 0.02, 3\/7, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 110673\/33 + 30\/110 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 11*f - 16. Let m be o(7). Suppose -m = -6*a + 601. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 22*q - 156. What is the lowest common multiple of c(8) and 134?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/4, 2\/17, -1\/4 in ascending order.\nAnswer: -29\/4, -1\/4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by -3.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3 + 3*f - 2*f**2 - 2*f**2 - 4 + f**3. Let t be q(4). Let u = t + 3. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68\/238*-21*(-6)\/81\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*f**3 - 55*f**2 + 5027 with respect to f.\nAnswer: 105*f**2 - 110*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 21*n - 49 = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*t**2 + 1955*t**2 - 976*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - (sqrt(119) - 2*(sqrt(119)*2 + sqrt(119)))))\/(1*-3*sqrt(7)).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 11*k - 7. Let j be t(10). Let z(o) = 3*o + o**3 - 6 - o**2 - 2*o**3 + 3. Let x be z(-3). Solve j*s = s + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 61. Let n be b\/((-5)\/(30\/(-9))). Solve -a - l = -3, a - 2*l - n = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -18. Let n = m - -23. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 + 1064*y + 1063 = 0. Calculate y.\nAnswer: -1063, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71.7 + 71. What is l rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekbbbbbeebkbekbk. Give prob of sequence keb.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/96)\/(2*(-2)\/(-8))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 251. Let d be f\/(-27) - 3584\/360. Is d at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3)*9\/(-18). Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8358 - 0.7758. Let i = -45 - -183\/4. What is the closest to -2\/3 in -2, l, -4, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Let y = 7 - 15. Let s = 7.8 + y. Put s, l, -1\/9 in decreasing order.\nAnswer: l, -1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6877)\/(-138) - 50 - (5 + (-6 - -3))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243\/28 - -979\/140. What is the common denominator of s and -58\/133?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022010112002 (base 3) to base 14.\nAnswer: -632513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -102*b - 10. What is the tens digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9856*g**4 - 6*g + 9863*g**4 + g - 6*g**3 in the form u*g**2 + l*g**3 + a*g + j*g**4 + s and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/71890 and -75\/16?\nAnswer: 575120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/16)\/(2\/8)*36\/(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p + 9. Calculate the remainder when 60 is divided by h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-1) + (-14)\/(-7). Let h = l - -8. Let m be (-4)\/8 - h\/(-2). Solve 5*b + m = 4*f - 2, 2*b + 4*f - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 - -178. Suppose a*c - 4*j - 828 = 0, 4*c - j - 428 = 385. What are the prime factors of c?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(91) - sqrt(91))*-2)\/sqrt(7).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3246896 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2085*b - 311100 = -2110*b. Is b a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123032 (base 4) to base 9\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 975416 is divided by 975280?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(864*k**5 + 330*k**5 - 2196*k**5).\nAnswer: 1002*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 731000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(480)\/(sqrt(48)\/sqrt(4)))\/(-1*sqrt(242)*-2*2) + 5.\nAnswer: sqrt(5)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**3 + k**2 + 3*k. Let c be m(0). Suppose 12*n - 51 + 27 = c. Solve -2 = -w - w + 4*f, -5*w - 11 = -n*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 662 divide 408569850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004445272 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1203*s + 2 = 1206*s, -2*s - 8 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7504, 7465, 7400, 7309, 7192?\nAnswer: 7049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -9*p + 1350. Suppose 4*o - 4 = 0, -4*o + 104 = -20*w + 24*w. What is the highest common factor of p and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137010?\nAnswer: 2, 3, 5, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -1. Let d(h) = h**3 + 4*h**2 - h + 5. What is the units digit of d(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + 12?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 942 divided by 566\nAnswer: 471\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/287 < -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106812 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: Let y = 0.25 - -8.35. Let h = y + -19. Let r = 10.399939 + h. Round r to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392860603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -17*n + 15. Suppose -68 = 88*p - 71*p. Let h = 118 - 107. Let t(c) = -6*c + 5. Calculate h*t(z) + p*l(z).\nAnswer: 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3))*-1 + 1.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/23, -26.4, -0.2, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 10 = o. Suppose 0 = -5*m + n + 137, 4*n = -m + 3*m - 62. What is the remainder when m is divided by (2 - 1) + 4 + o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 29339?\nAnswer: 176034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 5)*(2*h - 2*h - 2*h) - 13*h - 29*h - 18*h)*(-1 - h + 1) to the form r*h**2 + k + p*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368 * 3703.\nAnswer: -1362704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -3029502 (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -19514 in increasing order.\nAnswer: -19514, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 (base 8) in base 3?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a2 (base 16) in base 12?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0179 + 4.1439. What is s rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 23 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 6*z)*(3*z**4 + z**4 - 2*z**4) + (-z**5 - z**4 + z**4)*(-5 - 1 + 2) + (-27 + 27 - 18*z**4)*(-z - z + z) + 0*z**3 - 2*z**5 + 0*z**3.\nAnswer: 26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1980\/96*(4 + 0). Let p = g + -69. Find the common denominator of p and -163\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1624.\nAnswer: 1\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126\/381901 - -71123712746\/5728515. Let q = 12422 - d. Calculate the common denominator of -18\/25 and q.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q = -147769 - 23284 + 2370. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 9*i**3\/2 + 425*i**2\/2 + 34*i - 2. Differentiate v(l) wrt l.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 - 8*u**2 + 3*u - u + 0*u - 2*u**4 - 37*u**3 + 10*u**2 as b*u**4 + z*u**2 + h*u**3 + l + a*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = -7. Let l be (-10)\/(1*s\/8). Suppose 5*u = 3*k + 20, -5*k + 2*u = -3*u + l. Let i(x) = -x**3 + x**2 + x + 10. Determine i(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**3 + c**2 - 80*c. Let m(x) = x**4 - x**3. Let n be (-1 + 4)\/(1 + 2). Let q(w) = n*k(w) + m(w). What is the third derivative of q(i) wrt i?\nAnswer: 24*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4 + 4*(-5 + sqrt(448)*1) + 5)*-1 + 1)**2.\nAnswer: -768*sqrt(7) + 7310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r**5 + 7*r**5 - 31*r**5 + 326*r - 326*r - 28*r**5 + (1 - r - 1)*(-3 + 3 - r**4) + 2*r**2 - 2*r**5 - 2*r**2.\nAnswer: -64*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 759)*(-7 + (-105)\/(-14)). Let h be 21\/(y\/72) + 1*3. Let i be (-1)\/12 + 1\/(-4). Which is the nearest to 2\/3? (a) h (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 56*m - 14. Let f be z(14). Let q be 20\/f + (-172)\/(-42). Solve -q*y = 34 - 38 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.53 - -36. Let a = -0.21 + 0.27. Let c = a - z. What is c rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**22\/c*c)\/c**(3\/41))\/(c**(-1\/28)*c\/((c**(-34)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-14967\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -0.3 (c) 0.4 (d) 0.5 (e) 11 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-6)\/sqrt(4).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 10. Let a(w) = q*w + 3*w + 9*w. Let z(l) = 3*l. Give z(a(t)).\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 11. Let t(d) = 3*d + 22. Let q(r) = 5*a(r) - 3*t(r). Give q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 52*g - 338.\nAnswer: -2*(g + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.046 + 0.046. Let n = -22.7 + 16.7. Suppose -4*z = h - 23, -2*h = z + 3*h - 20. Which is the fourth smallest value? (a) n (b) l (c) -1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-926 + 441 + 291)*(-i**2 + 0*i**2 + 4*i**2 + (-i + 3*i - 4*i)*(2*i - 3 + 3) - 2*i**2 + 4*i**2 - 3*i**2).\nAnswer: 388*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hppi when four letters picked without replacement from {i: 4, h: 8, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1350, -2705, -4060, -5415, -6770, -8125?\nAnswer: -9480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1543633 (base 7) to base 3\nAnswer: 101210200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2a2 (base 13) to base 2.\nAnswer: -101011110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (19 + -2)) + (-2 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 0, 9, 34, 81, 156, 265, 414?\n\"Answer: m**3 - m**2 - 5*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 = 38*h + 2033. Suppose 0 = 4*k + 3*w + 147, -k + 21 = 3*w + 69. Let r = k - h. What is the highest common divisor of r and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 2*b**3 - 3*b**3 - 5*b + 14 as x*b**2 + y*b**3 + m*b + t and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714609 divided by 3591?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4783114 is divided by 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 2 t when four letters picked without replacement from gubtulstu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = -104. Let x = 34 + h. Let -4 + q - x*q**2 - 11*q - 8*q = 0. What is q?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*i = 0, -4*k - 4*i - 14 = -7*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6900000*p. Let y be (1 + 3 + -2)\/(-2). Let j be m(y). What is j rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -18 - (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/14 + 2\/7. Let t = 11 - 16. Which is the biggest value? (a) f (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15245 is divided by 836.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 15*m**2 - m - 1. Let k = -52 - -37. List the prime factors of r(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12351 - -1?\nAnswer: -12350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0 + 5, 2*c = -2*b + 14. Let z(v) = 65*v**3 + v**2 + v - 1. Let f be z(1). Calculate the greatest common factor of c and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(98) + 4*2*sqrt(98))**2.\nAnswer: 7937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h + 26 = 19*h. Let b = -23 + 18. Suppose -4*u = -5*k - 18, 0*u = 4*u + 2*k - 4. Sort h, u, b in ascending order.\nAnswer: b, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 101*p**2 + 9*p - 10. Suppose -270*c - 1 = -271*c. What is the smallest common multiple of m(c) and 70?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 - 5*m**2 + 5*m - 13. Suppose -51 - 57 = 18*w. What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31365 or -31768?\nAnswer: -31768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 + 4*y - 4*y + (2*y + 0*y + 2*y)*(5*y + 5*y - 5*y).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 + 0*i**3 + 4*i - 5\/2*i**2 + 5\/12*i**4. Differentiate y(t) wrt t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 11*p - 49 + 49)*(700 + 7*p**2 - 700 + (0*p - p + 0*p)*(2 - p - 2)).\nAnswer: 8*p**4 + 88*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184617770?\nAnswer: 2, 5, 29, 636613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -510 (b) -18 (c) 0.2 (d) -0.452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7372*r = 7367*r + 85. Calculate the smallest common multiple of r and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 16*u**2 - 15*u - 21. Let q be f(14). Let t = -1291\/8 + q. Let v be 3*-2 + 1 + 0. Which is the biggest value? (a) t (b) -2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 7. Give m(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -10\/7, -0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 6)*(4 + 0 - 2) + 51 - 70 - 119 - 5 - 14 + 9)*(-3*w - w + 2*w).\nAnswer: 288*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - r - 31, -2*k - 3*r + 4*r = -19. Suppose -4*l + 5*i + 0*i = 0, 0 = 2*l + 3*i - 22. Suppose l*q - 8 - k = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 502233688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 146206.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 4. Suppose 15 = 2*v - 7*v. Let b be -3 - v - (3 - -1). Give l(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-15)\/10)*-252. Suppose 2*o + q = 3*q + 382, -2*o + q = -b. Suppose 0 = -7*p + 3*p + 68. What is the greatest common divisor of p and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**6\/6 - 13*w**5\/2 - 145*w**4\/4 - 10*w**3\/3 + 290*w**2 - 924*w - 1. Factor o(i).\nAnswer: 5*(i - 29)*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i - i**3 - 12*i + 42*i - 14*i.\nAnswer: -i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(7) + (-3*sqrt(252) - sqrt(7)) + sqrt(7))**2.\nAnswer: -220*sqrt(7) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250312 and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -0.8, 129, 1\/7, 0?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36010278 and -0.1?\nAnswer: 36010277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/19600 and -17\/260.\nAnswer: 254800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-12)*(-20 - 192\/(-15))\/(-2). What is a in 15\/2*a + 3\/2*a**4 - 27\/2*a**2 + 0 + 9\/2*a**f = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6989 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-13)\/7)*-3. What is the second smallest value in -0.1, -1, j, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348853 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53163320 and 47205.\nAnswer: 478469880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h + 313*j - 317*j, -5*h + 2*j + 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/588 and 69\/3752.\nAnswer: 78792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 36\/7 (b) -0.3 (c) 0 (d) 3\/2 (e) -2784\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.1 - 121.5. Let b = g + 55.399998994. Round b to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 3. Let z(i) = -18*i + 125. Let a(u) = -2*u**2 + 39*u - 47. Let k be a(18). Let h be z(k). Let c(f) = 1. What is h*b(d) - 5*c(d)?\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 76*l + 62.\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25145018 and -794.\nAnswer: 25144224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -9*l + 132. Let w be 2\/(6\/l)*1. Is 42\/18*(-2 - w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007673236 to 4 decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + j)*(1240*j + 919*j - 2953*j).\nAnswer: 1588*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 437182.05+-523\nAnswer: 436659.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4385 is divided by 244.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:05 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7960, -34114, -77704, -138730, -217192?\nAnswer: -313090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-25969.61\nAnswer: 3895.4415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3 - 1 - 5 - 13*z. Let n be v(-5). What is the remainder when (n\/6)\/(1\/3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4 + 0 - 2 - u**2 + 3*u. Suppose 75 = 11*r + 4*r. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvvvrvvvrrvvv. What is prob of sequence rrrv?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659 divided by -3.\nAnswer: -659\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 280555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 40*l**3 - l**2 + 16*l - 15. What is the remainder when 116 is divided by c(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.8 - -5.4. Let a = 2.8 + j. Let i = -18.999 + a. Round i to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 2. Let r(l) = -4*l. Determine m(r(z)).\nAnswer: -64*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006649 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhbgfbv. Give prob of picking 1 h and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 8*t + 4. Let w(l) = -2*l**3 - 2*l**2 + 2*l + 1. Let f be w(-2). Let o be g(f). Solve 3*h + o = 2*z, 0 = -5*h - 2*z - 3 - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 18 = 10*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1803009041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002685 rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/235352?\nAnswer: -5\/235352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6021306 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 117. What is the nearest to n in -6\/11, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j + 2. Let f(o) = o**2 + 5*o - 4. Let a be f(-5). Let d be t(a). Let x(z) = -z - 1. Let i(c) = -12*c - 11. Calculate d*i(s) - 22*x(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 7 - 9\/((-108)\/16). Let u = 33\/8 - 27\/8. Which is the third biggest value? (a) u (b) -5 (c) s (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3847584240 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23885*d**5 + 736438*d + 9 wrt d.\nAnswer: -477700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1\/4*6. Let c be ((-1)\/(-3))\/(3\/45). Suppose 0 = -s - 130 + 132. What is the nearest to o in s, c, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/(6\/(-4)). Let b = m - -3. Solve 5*v + 3 + 17 = b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))**(-37)\/(m*m**0*m)**(20\/7) assuming m is positive.\nAnswer: m**(-817\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Suppose 0*t - 2*t + 8 = 0. What is the derivative of 1 + 2*w**2 + b - 1 - t wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 - 2*r - 1. Let g be p(-2). Does 5 divide 0 - (-2*g + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. What is the least common multiple of 3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 21*i - 72 = 0. Suppose -3*v + 12 = k, -4*v - 5*k + 16 = -i*k. Solve -4*y - 28 = -4*j, -v*y + 2*j = j + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqf. Give prob of sequence qu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10317, -1, 4, 3, 114, -4, 0 in decreasing order.\nAnswer: 10317, 114, 4, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 - -298. Suppose 4*v = 118 + 494. Let k = v + u. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 188 = 5*v, 2*v - 3*j = -2*j - 83. Suppose 5*x = 5 + 5. What is the common denominator of (-102)\/v*x\/3 and -83\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 + c**5 - 7*c**5 + (14*c**4 - 38*c**4 - 18*c**4)*(5*c - 4*c + 2*c).\nAnswer: -136*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453339.\nAnswer: 1453339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 52*w**2 + 2 - 43*w**2 + w + 3*w. Let z(r) = -341*r**2 - 154*r - 77. Let i(p) = -77*k(p) - 2*z(p). Let c(v) = -3*v**2. Determine i(c(s)).\nAnswer: -99*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 356874 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 20. Let f(n) = 17 - 9 + 0*n - 6*n - u. Let x be f(-5). Calculate the greatest common factor of 80 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.86316 weeks to hours.\nAnswer: 3673.01088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94960357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 1. Let u(d) be the second derivative of -d**4\/6 + d**3\/2 - 3*d**2\/2 + 14*d. Let t(x) = 4*h(x) - u(x). What is t(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - d**2 - 5*d + 6. Let q be r(-5). Let z = q - 135. Suppose 33 = -o + z. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 12 = 0. Let l = -9 + z. Let c(w) = 8000*w**3 - w**2 - 6*w - 5. Let j be c(l). What is j rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*j + 40 = 0, -3*j + j = 2*y - 20. What is the greatest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*s + 4, -7*s + 4 = -2*h - 11*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*f + 199*f = -662 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628330492?\nAnswer: 2, 3457, 45439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**2 - 3*o + 805. What are the prime factors of h(30)?\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c**2 - 4\/3*c**3 + 0*c + 7. Let m(n) = n. Determine m(k(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -125, -185, -245?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -0.202.\nAnswer: -0.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 7. Suppose -3*o + 8*o + 4*j - 85 = 0, -o = 5*j - x. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11761487, -47045895, -105853227, -188183471, -294036615, -423412647, -576311555, -752733327?\n\"Answer: 2*v**3 - 11761474*v**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 16. Let p(s) = -132*s**3 + 1. Let u be p(-1). Suppose -n + 5*m = 2*m - u, -2*m + 282 = f*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 334?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 177*j - 340. Determine w(5).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*f**5 - 24*f**4 + 42*f**3 + 80*f**2 + 24*f = 0. What is f?\nAnswer: -3, -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from tctccttuttctt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x + 241560 = -18*x + 17*x. Round x to the nearest one hundred.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6759568*k**2*w**3 - 8*k*w**3 - 490*k*w**2 - w**3 - 78*w wrt k?\nAnswer: -13519136*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/30*1\/3. Let s = 1\/10 - 3\/5. What is the second smallest value in s, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7068?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjzjjzzzjjjjjjjjzjj?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + 0*c)*(-3 - c + 3)*(-c**3 - 3 + 3)*(-6 - 9 + 2).\nAnswer: 39*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 103 + 55 + 50.\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:05 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.259859 - -2.\nAnswer: 2.259859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-4*5)**2 - (sqrt(2736) + -4 + sqrt(2736)*-3 - sqrt(2736))**2 - (1 + 5*sqrt(76)\/sqrt(4) + -2*(sqrt(19) + -1) + 1).\nAnswer: -291*sqrt(19) + 1069756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1971, -1\/8, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 times -0.61?\nAnswer: -287.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1782 + 1785. Which is the closest to 4\/3? (a) 0.21 (b) 1 (c) p (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 570316.\nAnswer: 3\/570316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 681254933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 277831573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7*q - 3050 = 0. Calculate the remainder when q is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6 - 0. Suppose k*t + 3 = 1. Is t\/(-2) - 45\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 19*z - 2 - 27*z + 53*z to l + d*z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -52*u - 3. Let m be p(-2). Suppose 3*a = 4*a - 46. Let n = m - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 55*f**3 + 10*f**2 + 479*f - 3363. List the prime factors of b(7).\nAnswer: 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724074.\nAnswer: 2, 3, 13, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205 + 310. Let t = j - 102.6. Round t to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j - 5 = 0, -3*p + 4*j - 80 = 0. Let o = p + -113. Let b = -1550\/11 - o. What is the closest to 4 in -5, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -2.4. What is the second smallest value in 0.2, 0, j, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1336, -5320, -11964, -21268, -33232, -47856?\n\"Answer: -1330*y**2 + 6*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10070 - 9992. Solve 19*o + 135 = b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907\/6 smaller than 152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 9, z = -5*u - 3 - 12. Suppose -3*a + 117 = -z*a. What is the remainder when a is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1158, -4521, -7894, -11283, -14694?\n\"Answer: -h**3 + h**2 - 3359*h + 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25101*j*u + 56*j - 6 with respect to u.\nAnswer: 25101*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 - 54*q**4 - 359*q**3 + 414*q**2 = 0.\nAnswer: -46, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155013005 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 - ((7 - 16) + 4))) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 0, 49, -2 in decreasing order.\nAnswer: 49, 3, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-110)\/(-33)*3\/330).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 77 - 34?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27341480 * -0.05\nAnswer: -1367074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114443586349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 3*x**2. Calculate the lowest common multiple of v(2) and 6*((-6)\/(-45) - 2\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1215, -9267, -30717, -72135, -140091, -241155, -381897?\nAnswer: -568887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 17 + -21 + 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2 + 17*r + 17. Let f(o) = 190*o - 569*o - 3*o**2 + 2 + 192*o + 193*o + 4. Let q(x) = 17*f(x) - 6*p(x). Let j(y) = 0*y - 7*y - y. Give j(q(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1088) + 0 - sqrt(1088)))**2 + sqrt(1088)*2*-4 + -5.\nAnswer: -64*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 20*h - 8 = 0. Suppose a + 7*s = 3*s + 6587, -h = s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-56) + 1\/(-4). Let l(g) = g**2 - 5*g - 6. Let z be l(6). Suppose z = -9*w + 4*w. Is w less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430966 to the nearest 10000.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 4. Let r(l) be the third derivative of -l**4\/8 - 2*l**3 + 627*l**2. Calculate 17*q(x) - 6*r(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214 - 217. Which is the nearest to 21? (a) -0.2 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069 is divided by 1471.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4 - 31 + 14 + 3*v**2 - v**2. Let d(q) = -2*q**2. Calculate b(d(h)).\nAnswer: 8*h**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26973780*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6693 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(-z + 6*z - 4*z) - 2*z**2 + 2*z**2 + 2*z**2 + 571*z**2 + 402*z**2 - 8*z**2 + 3*z**2 + 709*z**2.\nAnswer: 1678*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 1, p: 6, g: 4}. Give prob of picking 2 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.236064 nanograms to kilograms.\nAnswer: 0.000000000005236064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19d - 1b?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10.42. Let l = 78195.6 - 78196. Sort l, m, -4 in descending order.\nAnswer: l, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193759 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -959368.31 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-2\/5))\/t)\/t**(3\/5)*(t\/((t\/(t**(2\/3)*t)*t)\/t)*t*t*t)**37)**(-11))**35 assuming t is positive.\nAnswer: t**(-198275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 499.39 + -499. Sort 15, -2\/17, i.\nAnswer: -2\/17, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167844 (base 10) in base 16?\nAnswer: 28fa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 445 = -5*x, -7*h + 9*h = 3*x + 163. Suppose k + 9 - 26 = -w, -2*k = -4*w + h. Let d = 9 + w. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(46\/4245))\/((-10)\/(-70)). Let s = 1293 + k. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 131. Let y(f) = 5*f - g + 0 + 17. Let d(u) = -4*u - 5. What is -7*d(b) - 6*y(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 19*l + 1. Give m(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 25, r - 6*r = -2*y + 77. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81, 179, 275, 369, 461?\n\"Answer: -t**2 + 101*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1914 divided by 1\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5239, 6, -2, 2, -0.1?\nAnswer: -5239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*l - 26 = -j, -2*l + 10 = 0. Suppose m + 2 = -4*m - 3*r, j = -3*r. Suppose -7*o + m*o = -3*i - 14, -o = -2*i. Is 3\/2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*x + 300 + 121 = 0, -3*x = b - 107. Suppose -4*h - b = -3*w - 2*w, -w + 18 = 2*h. Let k be (-3)\/18*2*-18 - 1. Solve k = -5*j - w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -2\/7, -5.\nAnswer: -5, -4, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24438 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**4 - 2*y**3 + 6*y**2 - 2*y - 8. Let j(u) = -2*u**4 - u**3 - 1. Let r(l) = 14*l + 69. Let i be r(-5). Let o(t) = i*k(t) + 4*j(t). Factor o(d).\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -0.2, -0.306383.\nAnswer: -0.306383, -0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 divided by -103.\nAnswer: -808\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -27. Suppose 2*o - b + 36 = 2*k, -3*o = -12. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 12*a**2 - 4*a - 11. Determine o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29127 (base 13) to base 8.\nAnswer: 226451","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -2100 divided by 4\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -159. Let c = a - 176. Which is bigger: -1\/5 or c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -261.1 + 261.3. Put -5, 2, z, -2\/3 in increasing order.\nAnswer: -5, -2\/3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 10*o**2 - 2*o + 23. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (828\/(-966))\/(((-144)\/(-1204))\/12).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -877\/9 - -96. Calculate the common denominator of w and 23\/37.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021200020010 - -12?\nAnswer: 1021200020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (sqrt(252) - (sqrt(252)*6 + sqrt(252))**2) + 3.\nAnswer: -12344 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/10 + (-7554)\/60. Let t = 161 - h. What are the prime factors of t?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053736 and 1268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18 - 326*k**2 + 311*k**2 - 15 + 4*k - 12*k - k**3. Is 39 a factor of h(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 178084*z**5 - 2687296*z**4 - 8788844*z**3 - 9467016*z**2 - 4207104*z - 663552 = 0. What is z?\nAnswer: -1, -96\/211, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.046.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/5 + 56*n**2\/5 + 142*n + 380 = 0. Calculate n.\nAnswer: -5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512282.\nAnswer: 2, 67, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -486532*w**3 + 10*w**2 + 21*w - 161. Let f be u(7). What is f rounded to the nearest 1000000?\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 9*v + 2. Let y be j(-10). Let z = -15 + y. Let a(g) = g - 2. Let p be a(z). What is the smallest value in -0.5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/21*(-11)\/(616\/32)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385704 + 111082631\/288. Find the common denominator of 19\/12 and k.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - -4?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)*u\/(u**3\/u))\/(u\/u**1)**47*((u\/(u\/(u\/(u**1*u*u*u))*u))\/u)**(-3\/35)*(((u\/u**1)\/u)\/u)\/(u*u**(6\/5)\/u) assuming u is positive.\nAnswer: u**(-439\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3863075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/12 + 42\/8. Let z(i) = 0 + 0*i**2 - i + 3*i**2 - 10*i**3 - o*i**2 - 1. Give z(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-740)\/5 - (2 + 0). Let g = 222 + w. Suppose 3*s - 81 = -g. What is the remainder when 17 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517.6*23.\nAnswer: 11904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*u**5 - 7*u**3 - 13409*u.\nAnswer: 7100*u**3 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5354795240.\nAnswer: 2, 5, 2917, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:02 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6966 plus -5?\nAnswer: -6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*l - 962 = -239 + 389 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 3*o + 12. Suppose -3*f + 0 = n + 15, -f - 5 = 4*n. Let r be w(f). What are the prime factors of (184\/(-6))\/(r\/(-3))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-15)*(-18)\/12. Is (-2 - 3) + (-1406)\/(u\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (290*k + 216*k + 307*k)*(-k + 3*k - 3*k)*(-8 + 15 + 22) to the form a*k**2 + h + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 9829?\nAnswer: -9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -26*c. Let h(t) = -64*t**2 - 1. Calculate h(u(i)).\nAnswer: -43264*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 380 = 355, 0 = -2*g + 2*l + 16. Sort g, 2\/7, -0.134 in increasing order.\nAnswer: -0.134, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 + -110. Let l be 0\/((76\/d)\/((-2)\/5)). Suppose -4*r - g = -5*g - 96, l = -5*r - 4*g + 147. Solve -p = 4*p - 4*c - r, -p = -5*c - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 1925 - 1945. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 - 5*g - 6. Give h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257650 is divided by 404?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 46050?\nAnswer: 46050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/3 - 2*v**3\/3 + 2*v**2 + 2*v. Let r = -7 + 22. What is the remainder when s(3) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 673*x**3 - 4*x**2 - 6*x - 15. Let v(a) = 674*a**3 - 2*a**2 - 4*a - 17. Let j(z) = -2*t(z) + 3*v(z). What is the third derivative of j(r) wrt r?\nAnswer: 4056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10635 is divided by 643?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 614965, 614297, 613629, 612961, 612293, 611625?\n\"Answer: -668*o + 615633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 0 - 3)*(-2 + 2 - 2)*(-d**2 + d**3 + d**2).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/5 (c) -1\/4 (d) 31\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1230 and 13120.\nAnswer: 39360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 4*t - 5*t + 11*t + 12 - 12 + (-3 - 1 + 5)*(2 - 2*t - 2) + 4*t + 40*t - 11*t)*(3*t + t - 1 - 6*t).\nAnswer: -90*t**2 - 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.80124 tonnes in kilograms?\nAnswer: 5801.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/14 + 2575992\/56. Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8, i = 5*m - 13 - 4. Suppose -4*r - 9 = 3*f - 6*r, i*r = 3*f + 6. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-32 - 56\/(-88)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 8439*q**2 + 3*q + 8439.\nAnswer: -3*(q - 1)*(q + 1)*(q + 2813)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + f - 42 = -4*f, 4*b + 4*f = 60. Suppose 2*p + 17 = 3*j, -5*j + 2*p = -4*j - b. Solve 5*n + 1 + 0 = -j*c, 2*n + 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 1 - 9)*(-1 + g + 1 + (-1 + 0 + 5)*(2*g + 1 - 1)).\nAnswer: -198*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 242.8, 756, -3?\nAnswer: 242.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 take away 189869185?\nAnswer: -189869185.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.61 - 1084.9?\nAnswer: -1090.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**2 + 23*q**2 - 50*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6907*d = 6904*d + 5238. What is the greatest common divisor of 36 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 33 in increasing order.\nAnswer: -11, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = 2*t. Suppose -6*p + 4*p = -t. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/48 and ((-250)\/(-4))\/(126\/3).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5084, -10357, -15616, -20861, -26092?\nAnswer: -31309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from qmmqqumq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d\/((d**0*d)\/d)*d)*d)\/d)**(-39))**42*((d**6\/d)\/d**(2\/11))**(-3\/8) assuming d is positive.\nAnswer: d**(-159\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -337.8+-0.039\nAnswer: -337.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -497 - -1497. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -199, -289, -359, -403, -415?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, n: 8}. What is prob of picking 4 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 4. Let m be x(-6). Suppose 5*p + 155 = -y, -4*y - 18 - 26 = 2*p. Let z be (2\/1)\/(4*(-4)\/p). Solve m = -z*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**8\/840 + 2*r**7\/525 - r**6\/300 - 23*r**2\/2 + 1. Let z(i) be the second derivative of g(i). Let z(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/108*60)\/((-2804)\/(-31545)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -c + 9. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000228091 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*n - 12, 7*n - 15 = -5*c + 2*n. Let y = 5 - c. Solve 5*u + 11 = f + 5, -f - y*u = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/(-200))\/(75\/40). Is r at least as big as -1.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -260)\/(1 - 0). Suppose -3*y + 4*y = z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93655 is divided by 15584?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -48, -133, -292, -549, -928?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4653 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(832) + (sqrt(832) + -3)*4)**2.\nAnswer: 1536*sqrt(13) + 53392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3190 and 2.\nAnswer: 6380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 116 = 4*y, -3*y + 132 = 4*p - 7*y. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85833 and 19737?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 9*u**2 + 13*u - 5. List the prime factors of t(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f - 254339*f**3 + 253163*f**3 - 2*f**2 as w*f**2 + b + j*f + i*f**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*a + 103*a + 90*a + 3720 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 7*c**2 + 10*c - 1. Let u be x(-8). Let b = u - -25. Suppose -60 = -4*y - b. Calculate the remainder when 24 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224769 is divided by 338?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = -5*k + 16, 5*k - 3*i + 375 = 346 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 35 + 21 + 12611*f.\nAnswer: 12611*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*l + 25*l + 174*l - 31*l + 720*l - l**4 - l**3 to the form a*l**3 + j*l**2 + q*l + i + u*l**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z + 12. Let u(n) = -13*n - 13. Let y(w) = 4*k(w) + 5*u(w). Let a be 1*(4 - -10)\/(-2). List the prime factors of y(a).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:38 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) 1\/7 (b) 25.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -12*d + 10*d. Let m = -42 + d. Calculate the remainder when (-1)\/(60\/(-57) + 1) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 10*l - 390. What is the smallest common multiple of 7 and l?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1212)\/(-4) + (0 - -1 - 7) and 135?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/22 and -161\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 - 2. Let j(i) = 2*i - 1. Let z be j(2). Let m be q(z). Let s be ((-84)\/(-16))\/(m\/(-8)). What is the highest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066757734.\nAnswer: 2, 7, 457, 23819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3418 + (0 + 0)\/2. Suppose 3*n = -4*h + 6826, -n + 0*n - x = -2*h. Let c = h + -1218. Round c to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, z: 1, f: 4}. What is prob of picking 1 z and 1 f?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 14*y - 170 + 125 = -5*y, 2*u + 24 = 6*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -3*z. Suppose 3*w - 429 = c, -z*w + 4*c = 2*c - 572. Suppose 5*g - w = -58. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-6)\/(-15) + 22\/(-5)). Let n(f) be the first derivative of 1 + p*f**5 - 2*f - 15 - 4*f**5 - 3*f**5. What is the derivative of n(q) wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/3 - 6285*i. Let q(r) = -14519*r. What is v(q(d))?\nAnswer: 29038*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004101917 rounded to 5 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7501 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/2)\/z)**35*z**(-1\/23)\/(z**(-2\/21)\/z) assuming z is positive.\nAnswer: z**(-15889\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w - 659065 = -661459 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 12*v = -4*c + 22, 3*v + 3*c + 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 - 3?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 6*b**2 - 2*b + 7. Let r be m(6). Let l be ((-4)\/r)\/((4\/20)\/(-1)). What is the fourth biggest value in -40, -0.2, 0.4, l?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 - 3*v + 10. Let c be f(6). Let k(g) = -116*g - 11. List the prime factors of k(c).\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2350 (base 6) to base 11.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1972*a**3 - 384 - 99*a**3 + 384.\nAnswer: -2071*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/15 - 3*t**2. Let m(j) = j**2 + 3. Let u(s) = -2. Let b(v) = -2*m(v) - 3*u(v). Give b(a(h)).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/7)))**(-43)\/((t\/(t**(-6\/11)\/t*t))\/t**(-4)) assuming t is positive.\nAnswer: t**(-1373\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*c + 35957 - 22965 + 72016 = 0. Calculate the smallest common multiple of c and 736.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 16. Suppose 26*p = z*p - 243. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2 + 2*s - 1. Let i be y(1). What is the smallest common multiple of -6*-1*i\/6 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 866 - 865.529. Let y = t + 0.029. Let c be ((-8)\/10)\/(182\/(-65)). What is the closest to c in y, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 - 3*z**2 + 19*z + 116. Give b(-6).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23636, 94064, 211446, 375782, 587072?\n\"Answer: 23477*u**2 - 3*u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4449674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1013*j**6 + 20477*j**2 - 11011*j**2 - 11104*j**2 wrt j.\nAnswer: -121560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-9))\/((-6)\/(-54)). Let n be k\/(-4)*(-3 + -5). What is the first derivative of 52 - 6*p**4 - 9*p**n - 61 wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*x - 20, -o + 16*x - 15*x + 9 = 0. Solve 6*b = -2*a + 8*b - 4, 5*a - 3*b = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*n**2*v*z**3 + 17*n**2 + 431*n*v*z**3 + 105*n*v*z**2 - n*v*z - n*v - 4*n - 107*v*z**3 + 83*v*z + 2*v wrt z.\nAnswer: 84*n**2*v + 2586*n*v - 642*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -1. Let n = -7 + w. Suppose 3*h + m = -4, -h + 0 = m + n. Solve -4*s + 0 - 12 = h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -730 - -734. Let r(a) be the third derivative of 0*a - 1\/15*a**5 + 2\/3*a**3 + 0*a**x + 0 + 8*a**2. Factor r(m).\nAnswer: -4*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**5\/5 - 3*u**4\/2 - 46*u**3\/3 - 33*u**2 - 28*u - 2052. Suppose g(h) = 0. What is h?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 6*c**2 + 3*c + 3. Suppose 0 = -x - 2*s + 5, -s + 0 = 5. Suppose 0*f - f = -4. Suppose 4*t = -i - 17, f*t = -x + 3. Calculate g(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*v = -113*v - 36. Let x(k) = 17*k**2 - 4*k + 4. Let m(p) = -16*p**2 + 3*p - 3. What is v*m(i) + 3*x(i)?\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-218*23\/46)\/(-2). What is the closest to 1 in a, -2\/27, -5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47044 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((2078\/(-4156))\/((-2)\/6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3*p - 3. Suppose -4 = 5*n - 29. Give a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202122322014 - -2?\nAnswer: -202122322012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 2265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -10*h + 74. Solve h*l - 4 + 1 = 5*r, -2*r + 14 = 3*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3113 (base 4) to base 10.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 + 2*k**5 - 3*k**5 + (-2*k**4 + 1 - 1)*(k - k - k).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/(-90)*(-5)\/2. Which is the nearest to -1? (a) 6 (b) y (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - 3*v + 2*v + (6 - 3 - 4)*(0*v + v + v) + 3*v - 3*v + v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637160 divided by -109144?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)*z)**(-6\/5)\/(z\/z**(-5)*z*z**(-5)) assuming z is positive.\nAnswer: z**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4)*h**(-6)*h*h)\/(h**(-1))**(-12) assuming h is positive.\nAnswer: h**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r - 0*r. Suppose -4*o + 26 = -r. Calculate the lowest common multiple of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47474 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.69 less than 1184593.7?\nAnswer: 1184634.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*l**4 - 5*l**2 + 551*l - 2 wrt l?\nAnswer: 1416*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -42, -1\/3?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 51. Let k(u) = 1 + 12 - d - 3*u + 4*u. Let a be k(-7). Let r(q) = q**2 - 2*q + 1. Let s(h) = h**2 - 3*h + 2. Calculate a*r(l) - 3*s(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -739 + -4?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.17 - -0.33. Let u = -0.5 - n. Which is the closest to -2\/13? (a) 3\/5 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 887, 3189, 6999, 12407, 19503?\nAnswer: 28377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 - 18 = 0. Let s(v) be the second derivative of 3*v**3\/2 + 8*v**2 + 39*v. What is the remainder when s(3) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(5\/(-2))*1. Let f be (-4)\/(-4 - w - 0). Find the third derivative of i - i - 2*i**f - i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f = -20592 + 21491 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 12 + -13 + 7 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -817, -1791, -3133, -4831, -6873, -9247, -11941?\nAnswer: -14943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 23) + 4 - (77 + -87).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = f - 2, 0 = -3*f + 3*h + 30. Suppose -30 = -5*y + 2*s, 0 = y + 3*s + f. Let g = y + 2. 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: Which is bigger: 1107 or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8508 divided by 4.\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, h: 3, j: 4, l: 2}. Give prob of picking 2 h and 2 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.54 + 0.04. Suppose 109*i = 119*i + 1220. Let s = i + 128. What is the third biggest value in n, 1\/9, -2, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/8 - m**3\/3 - m**2. Let q(x) = x - 1. Let s = -15 + 14. Let g be ((-1)\/(-2))\/s*-8. Give g*o(a) - 10*q(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6506 is divided by 466?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -5. Solve 10 = 2*b - 0*b, n + 3*b - a = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + -0.9. What is the nearest to 2\/5 in -3, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2029360 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10914*f**2*j*m**2 - 14207*f*j*m + j*m**2 - 3324011*j*m wrt f?\nAnswer: -21828*f*j*m**2 - 14207*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10646779.\nAnswer: 11, 13, 74453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -6) + (99 - 52).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-36))\/2)\/(101\/404).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251149?\nAnswer: 251149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 253*t. Let m(a) = -a. Determine m(n(j)).\nAnswer: -253*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -4, -17, 23, -5 in descending order.\nAnswer: 23, 11, 5, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, p: 4, t: 1, d: 1, e: 2}. What is prob of sequence dp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10692 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37666445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 37, 54, 69, 82, 93?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -2.77.\nAnswer: -83.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.91606s to milliseconds.\nAnswer: 43916.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4351 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19694)\/(-60) - (-4)\/(-10). Suppose 3*u = 3*t - 969, -4*t + 1250 = 4*u - 74. Let i = t - c. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 31. Suppose 35*z - 33*z - 24 = l. Calculate the greatest common divisor of z and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53\/100 - 18\/25. Calculate the common denominator of 23\/9 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1303, -2604, -3891, -5158, -6399?\n\"Answer: q**3 + q**2 - 1311*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 70?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884 + 1908 = -42*p - 1320 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -120*w**2 + 1116*w - 119. Give u(9).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3929688 and 509517.\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-8))\/((-2079)\/504)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2023*j**2 + 5*j - 18. Let f(a) = 3034*a**2 - 7*a + 25. What is 5*f(d) + 7*y(d)?\nAnswer: 1009*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(5\/(-2) + 4). Let u(d) = 3313*d**2 + d - 4. Let a be u(b). What is a rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-99))\/(-4*408\/528).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 44 + 14 + 0*u - 6*u.\nAnswer: -4*u - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 5.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1096.63092 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2295 and 9301788.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 5*h**4\/12 - 158*h. Let x(g) = 54*g. What is x(r(z))?\nAnswer: 270*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 6) to base 2.\nAnswer: -10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.4 (c) 5 (d) 0 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 1096.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 35*j**2 + 275*j + 1608. Give z(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 45488*a - 272968. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 2*d + 7*d**2 + (0 + 3 + 0)*(-3*d**2 + 2*d**2 + 0*d**2) to o*d + x + u*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14756688 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2786573\/78 - 35726. Calculate the common denominator of o and -25\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.8. Let u = z + 0.9. Let g = 2 - u. What is the nearest to 1 in g, 5, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l**2\/4 - 23*l\/2 + 201\/4 = 0. What is l?\nAnswer: -67\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238\/341 - 16\/31. What is the closest to -2 in 5, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from yyvyyyyyyypyyv.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -4. Suppose -5*a - 9 = f. What are the prime factors of (-25)\/a - (-1)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(3\/9*(-28)\/532*1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111998828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11154724 and 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.4 (b) 2\/123 (c) -3 (d) -9\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 0*j**2 + 8*j - 8*j to g*j + c*j**2 + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.23285ml in litres?\nAnswer: 0.01823285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 5. Let s = 11 - 4. Let o(y) = 5*y + 11. What is s*a(x) - 3*o(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 19*w**2 - 22*w + 660. Is i(15) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1216*n - 11891. Calculate h(9).\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 52d9 (base 14) to base 10\nAnswer: 14303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -43, -39, -35, -31, -27?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*i - 33 = 2*x + 142*i + 16, 0 = -2*x + 35*i - 61 - 20 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 267 and 59.\nAnswer: 15753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbcf (base 16) in base 8?\nAnswer: -535717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10725012 = -2133114. Let x = 42761011\/10 + p. Let q = x + 9950. Find the common denominator of -107\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.069 - 359.931. Let d = 361 + a. What is the third smallest value in 1\/17, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3. Let k(n) = -n + 6*n + w + 10*n. Is k(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -35) + 2 + -1 + (-6 - (-12 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4142 = 7*o. Suppose 0 = 5*l + h - 4044, 3*l - o = h + 357. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.091.\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/12 + 1 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 + 28\/6. Suppose 3*x = -f - 4, -2*f - 49*x + 46*x = -1. Suppose n*b = f*b - 3. Solve 5*k = -3*p - 4, -4*k + b*p = -0 - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -79557 + 64?\nAnswer: -79493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15686 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: b\"What is the wth term of 265824, 265825, 265826?\n\"Answer: w + 265823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.72 + -0.72. Let a = -47 + q. Sort 5\/2, a, -4\/9, -0.5 in increasing order.\nAnswer: -0.5, -4\/9, 5\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223 - 116 + 106)*((2*i**3 + i**3 - 2*i**3)*(i**2 + i**2 + i**2) + i**5 - 4*i + 4*i).\nAnswer: 852*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*k + 10 = -5*x, -4*k + 8 = 4*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87287076 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4803*q - 6. Let y(f) = -24015*f + 33. Determine 11*c(s) + 2*y(s).\nAnswer: 4803*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167985 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, 1, 0.5, 0.03, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17138006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*4 - (1 + -4)*1. Suppose p + m*p = -120. Let f be 1*100*3*(-5000)\/p. What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 327*m - 5*m**2 - 1 + 2 - 327*m in the form b + h*m + l*m**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -57*f**2 - 1928. Let n(w) = -4*w**2. What is i(n(b))?\nAnswer: 456*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 113, 171, 231, 293?\n\"Answer: a**2 + 53*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -1880, -4229, -7508, -11711, -16832, -22865?\nAnswer: -29804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 - (-11 - -5)) - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, y: 1, q: 1, s: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((618\/2575)\/(2\/20))\/((-2)\/10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1133945437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:02 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 4*z + 2. Let h be b(4). Suppose 0*d = -4*y + d - 26, -h = d. Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13110 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613.791 centuries in decades?\nAnswer: 26137.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + 4*z + 56. What is the units digit of f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*n + t - 24, -t + 18 = 2*n. Calculate the common denominator of 1\/6 and -11 + n + 146\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x = -3*s + 13*x - 6, 0 = 3*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 174*r - 176.\nAnswer: 2*(r - 1)*(r + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 421?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from xtxr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 786*b**3 + 5*b**2 + 9*b + 10. Let k(f) = -f**3 + f**2 + 2*f + 2. Determine 10*k(l) - 2*u(l).\nAnswer: -1582*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1545 and 2781.\nAnswer: 13905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**4\/12 + 2*t**3\/3 + 2*t**2 - t. Let n be w(-4). Let x be (3 - 2)*(7 + 0). Solve -5 - x = n*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -31441, -2, 0 in decreasing order.\nAnswer: 0, -1, -2, -5, -31441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84303 or 84291?\nAnswer: 84303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.15\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973262707.\nAnswer: 19, 29, 1766357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 101996\nAnswer: -1\/101996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 996 = 91*r + 168*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -2\/11 (c) -2 (d) -0.4 (e) -4.3529 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 25*o - 298. Calculate s(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s - 1 - 55 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -10. Suppose -2*u = -4*t - 3*u + 29, 4*u = -2*t + 32. Suppose -2*q - b = -t*q. Solve 0 = -a + q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmss when four letters picked without replacement from {s: 8, m: 2, p: 2}?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3093336073 to the nearest integer?\nAnswer: 55618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -61.766+-165611345\nAnswer: -165611406.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**3 - 12*c**2 - 11*c - 8. Let k(w) = 6*w**3 + 13*w**2 + 12*w + 8. Let u(s) = 5*h(s) + 4*k(s). Let v be 15 - (-4 - 40)\/(-2). Calculate u(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8 - 2 - f**3 + 6*f + 35*f**2 - 38*f**2. Let m be o(-4). Is m smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -874376, -1748759, -2623144, -3497531, -4371920, -5246311, -6120704?\nAnswer: -6995099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3))\/(k*k**5)*(k**(-2\/11)*k)\/k*k\/((k**3\/k)\/k)*k)\/((k**(-4)\/k*k*k\/k**0)\/(k**(-1\/9)*k*k\/(k\/(k**(2\/9)*k*k*k))*k*k)) assuming k is positive.\nAnswer: k**(785\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.89025 * -0.5.\nAnswer: -1.945125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, -5*n = 3*u - 16 - 164. Let s be (-1 - -2) + n\/13. Find the first derivative of 0 - 9*a**s + 5 + 3*a**4 wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9+743959380\nAnswer: 743959389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**3 + 385020*c**2 - 259*c + 643 wrt c?\nAnswer: 54*c + 770040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -2*w - w + 2*v, -w = 4*v - 81. Suppose 0 = 5*f - 1271 - 29. Calculate the greatest common factor of f and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/40 - (-1 - (-4)\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from uubvbdebebeavbbbbb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323129 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*h - 12 + 12)*(43*h - 45*h + 13*h**2 - 379*h**2) as f*h**2 + m*h + n*h**3 + d and give n.\nAnswer: 2562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 67, 13, 0 in decreasing order.\nAnswer: 67, 13, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1367*s - 1291*s + 147236 - 147233 - 4621*s as n*s + w and give n.\nAnswer: -4545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 253433?\nAnswer: 253441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/2 + 3*i**3\/2.\nAnswer: -3*i**3*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39996?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3643000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 1) + 8\/(-2) + 4. Let k(a) = 22*a - 7 - 30*a - 11*a**g - 1. Let r(i) = 4*i**2 + 3*i + 3. Calculate -3*k(x) - 8*r(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2249, 2233, 2207, 2171?\n\"Answer: -5*a**2 - a + 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/(6\/18 - 0) - (-74 - -86). Let v(m) = 9*m**3 + m - 1. Let g be (-1*2)\/(-2 - 0). Let f be v(g). Calculate the greatest common factor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*h + 3*g + 20 = -300*h, -g = -2*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/9884 and -117\/12710824.\nAnswer: 12710824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/28 + 5)\/(6\/(-21) - (-12)\/84).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 997.1672km?\nAnswer: 997167200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117116\/123 less than or equal to 953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -25. What is the remainder when 35 is divided by (6\/(-4))\/((-2)\/b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605067?\nAnswer: 3, 139, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3743 + 4983. What is the highest common factor of 2945 and x?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3 + 9. Let a = f - 2. Let d(l) = -3 - 7*l - 1 + 5. What is d(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.88023064 rounded to three decimal places?\nAnswer: 6.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 19*u**3 + 4*u**4 - 27*u**3 - 8*u**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195552013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 25. Let c(r) = a - 5*r + 0*r**3 - 35 - 5*r + r**3 - 13*r**2. Let y be c(14). What is the greatest common divisor of y and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 28*h - 28*h + 0*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b - 6. Let f be 0\/(1\/(-1) + 0) - -10. Suppose -f*p - p = -6*p. Calculate h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, o: 8, l: 1, b: 6}. Give prob of sequence lb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (276\/40 - 7)\/((-36)\/30). Let h(m) be the first derivative of 1\/9*m**3 + u*m**4 - 1\/36*m**6 - 1\/30*m**5 + 10 - 1\/12*m**2 - 1\/6*m. What is s in h(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 15\/(-2). Let u be (0 + 1)\/s - 0. Let y be 14\/35*25\/(-80). Sort -1, u, y in descending order.\nAnswer: u, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6399 divided by -711.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161658041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -1 + (sqrt(396) + 2 - sqrt(396) - sqrt(396)) + (sqrt(396) - (sqrt(396) - 1*sqrt(396))) + 3)**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4580*j + 159550. Calculate l(-35).\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 50*c + 138. What is the remainder when a(-9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 + 9*b - 2. Let r be y(6). Let c(w) be the first derivative of 12*w**3 + 16*w - 1. Let h(t) = 7*t**2 + 3. Calculate r*h(o) - 3*c(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -495, -1687, -4011, -7845?\n\"Answer: -63*b**3 + b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 15*l + 795 = 171835. List the prime factors of l.\nAnswer: 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - -27. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 - 5*h + 1. Calculate the lowest common multiple of l(-5) and 2 - -5 - (4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*k + 27 = -f, 2*k = 2*f - 28. Suppose 80 = -84*t + 104*t. What is the remainder when f is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 675*b**2 + 1330*b = 0. What is b?\nAnswer: -133, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109 - -11.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13645817 divided by 186929.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2644898 less than -101295?\nAnswer: -101285.7355102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16819.19 days to microseconds.\nAnswer: 1453178016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15940 greater than or equal to 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 778, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 - 7712*y\/5 + 3088.\nAnswer: -4*(y - 2)*(y + 1930)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11909097 to 3 decimal places.\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, z: 3, f: 3, k: 3}. Give prob of sequence kqz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 0 - 10*k - 1\/6*k**3 + 7\/2*k**2. Let u be a(4). Solve u*b = l + 3*l + 26, -2*b + 14 = -2*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-7))\/(40\/(-70) + 0). Which is the second biggest value? (a) u (b) -3 (c) -0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -11 - -41) + (-9 - (0 + 0) - 0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3179 + 3367. Calculate the remainder when b is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 444349950.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -68. Suppose 0 = z - 5*z + 16. Suppose k + 5*m + 9 = -c, -z*k + 45 = -5*m. Solve -3*l + 5*a - 7 + 1 = 0, 24 = k*l + 3*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*v - 15, -2*x + 0*x + 5*v - 21 = 0. Suppose -7*t = -28*t + 21. Suppose 3*f + 5*p - p = 4, 2*f - 4*p + 4 = 0. Sort f, x, t in descending order.\nAnswer: t, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 125*i + 2634. Determine y(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -26, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(2\/3)\/c))\/(c*c**(-28\/9)))\/(c**18)**(2\/15))**(1\/9) assuming c is positive.\nAnswer: c**(47\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:14 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = 0, -4*f = 5*h - 9*h - 232. What is the smallest common multiple of f and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52510 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxm when three letters picked without replacement from {m: 4, r: 2, x: 2, i: 1, c: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195148979.\nAnswer: 163, 541, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:48 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 16*c**2 - 5. Let o be y(16). Let x(z) = 6*z**2 + 6*z + 15. Is 9 a factor of x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*d**4 - 5 - 16*d**4 + 15*d**4 wrt d?\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 13*i**3 - 20*i + 18*i.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -29983981 and 10.\nAnswer: -29983971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4 + 4 + 84*t - 86*t. Let m(b) = -b. Calculate m(f(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 73*n - 1. Let s be u(7). Let t = s + -121. Suppose -4*a + t = 3*l, 4*l = -5*a + 332 + 186. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.29 + 1.06. Let x = 0.73 + o. Let c = x - -0.49999967. Round c to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2 + z + 3*z - z - 4*z. Suppose 8 = 4*b + 3*j, -5*b - 3*j = 2*j - 15. Determine g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 2*c**3 - c**3)*(-4*c + 5*c - 3*c)*(52*c + 9*c + 25*c).\nAnswer: 344*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.453 + 2.42. Let o = -5.967 + n. Let p = 1.3 - 0.3. Which is the closest to p? (a) 1 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -28*c + 1138. Solve c*h - 37*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 48*z**2 + 96*z - 200. Let p be n(-50). Which is the closest to p? (a) 0 (b) 5\/7 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 + 1857*k**3 - 38595*k**2 + 71623*k - 34884 = 0. What is k?\nAnswer: 1, 19, 1836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -52221 divided by -507?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -1176, -1930, -2850, -3942?\nAnswer: -5212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*h**4 - 20 + 47*h + 20 + 276*h wrt h?\nAnswer: -2748*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 0 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 24*n + 1. Let w(d) = 2*d**2 + 49*d - 1. Let h(m) = 5*k(m) + 2*w(m). Is h(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let g = j + 5. Suppose -112 = -4*z - 4*f + 2*f, 4*f = g*z - 84. What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2233 - 15545.\nAnswer: -17778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 558. Let z(m) = m - 1281. What is p(z(b))?\nAnswer: b**2 - 2562*b + 1640403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15*c + 27. Let m be k(-3). Let l be -3*(14 + m)*(-10)\/(-24). Let z(b) = -l*b + 17*b - 7*b - 7*b. Let p(x) = -8*x**2. Calculate p(z(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 - 3*w. Let k be n(-2). Let s(d) = -3*d**3 - 5*d**2 + 7*d + 11. What is the units digit of s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 1428. Let x be d(107). Calculate the highest common factor of 351 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x**2 + 2*x - 3*x)*(-2*x**2 - 4*x**2 + 5*x**2).\nAnswer: -x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -81563.87 rounded to the nearest 10?\nAnswer: -81560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -544 - -359. Let b = x - -187.62. Is 2\/7 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 902 in increasing order.\nAnswer: 0, 2, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 4. Let y be (-7 + 1)*(-2)\/4. Let m be d(y). Let l = m + 0. Let r(b) = 5*b - 1. Determine r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 16. Suppose -12 = -2*q - m*a, -2*q + 5*q + 2*a - 40 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**2 - 1277*p + 8822. What is m(7)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 822907.3 micrometers?\nAnswer: 822907300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542 - 542. Put 5, n, 12, -2 in descending order.\nAnswer: 12, 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 891422 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, 99, 82, 79, 96, 139?\n\"Answer: t**3 - 2*t**2 - 26*t + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:41 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r - 28. Let m(v) = -6*v - 6. Suppose -3*q + 4 + 1 = -k, -4*q - 30 = -5*k. Suppose 5*h = k*h + 25. Let w(d) = 2*d + 2. Give h*m(i) + r*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7.2 (b) -3 (c) -1 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -66.2. Let w = c - -7. Let t = 809 - 815. Sort t, 0.2, w in decreasing order.\nAnswer: 0.2, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 - 35*y - 77 + 236.\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + -403)\/((-3)\/20). Suppose -3*x - 1116 = -2*d - 0*d, 0 = 5*d - 5*x - a. Suppose -5*m + d = m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.78 - -0.78. Which is the fourth biggest value? (a) -5 (b) r (c) -2\/9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 45*v**2 - 75*v - 45. Let w(z) = z - 1. Suppose 4*i + 48 = -4*i. Let a(s) = i*w(s) + g(s). Factor a(b).\nAnswer: -3*(b + 1)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/1)\/(1\/2). Suppose -2*v + 3*p = -5*v - 63, 0 = 3*v - 2*p + 43. Let m = 24 + v. Calculate the highest common divisor of m and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/874076 and -93\/1696.\nAnswer: 6992608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*v, -2*u + v - 6 = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (38\/665)\/((-3)\/21)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/3 + 88454*s**3\/3 + 58967*s**2 - 88452*s = 0.\nAnswer: -88452, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyylyyykkky. Give prob of picking 2 y and 2 k.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/7 (b) -0.006 (c) 0 (d) -2 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3*z**4 - 2*p**3 - 3*p**2*z**5 - 146*p**2*z - 48*p**2 wrt z?\nAnswer: -12*p**3*z**2 - 60*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 30 = -50. Let p = 637 + -479. What is the remainder when p is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*((sqrt(2880) - (3 + sqrt(2880))) + sqrt(2880)) + sqrt(2880))**2 + ((5 + (sqrt(320) - (3 + sqrt(320) - sqrt(320)) - sqrt(320)))*-2)**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.2, 1\/14, 2\/7, -448?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.82 and 464?\nAnswer: 380.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2129497 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 625969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 15. Suppose 0 = b*r - 0*r - 153. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 32*r - 8. Let v be w(-6). Suppose 5*d = 15 - 0. Factor -21*h**2 + v*h**3 - 4*h**d + 3*h + 6*h**2.\nAnswer: 3*h*(h - 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2\/7 - 1699664*a\/7 - 3399336\/7 = 0.\nAnswer: -2, 849834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 37. Let o = w + -35. Let d = 25 - 23. Put o, d, -5 in descending order.\nAnswer: d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*d + 3*l + 12, -6 = -4*d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let p(o) = -2046*o + 1116. Let v(f) = 2*f - 1. Let s(w) = p(w) + 1116*v(w). What is q(s(h))?\nAnswer: 372*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/(-8)*(-16)\/6. Let r = -18 + j. What is the highest common factor of r and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243\/6*80\/24.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m - 150*m = -837 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -964, 9, 4, -3 in increasing order.\nAnswer: -964, -3, -2, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -10 - (-6 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/i**(-4\/5))**(-2\/127)*((i*i*i**4\/i*i*i)\/i**(-2\/5))**(21\/8) assuming i is positive.\nAnswer: i**(138093\/7112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from -157975.\nAnswer: -157989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -67 in descending order.\nAnswer: -4, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13784?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1305243um to meters.\nAnswer: 0.0000001305243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/((-132)\/(-297))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4237.\nAnswer: 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t - 1. Let p(v) = v - 17. Let r be p(12). Let n be c(r). Solve -4 = n*k + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {w: 1, b: 2, q: 3, g: 1, v: 5}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)*(-85)\/(-34). What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.27 - -0.27. Sort -0.2, 2\/3, r in ascending order.\nAnswer: r, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*x - 2674 = -6*x, -3*w - 3*x + 1998 = 0. Let v = w + -652. Suppose -6*j = -2*j - 244. What is the remainder when j is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 34 = d. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -66782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*c - 195, -3*u - 14 = 2*c - 279. Let d be ((-36)\/(-30))\/((-21)\/(-3185)). Let k = d - u. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192*-17422.\nAnswer: -3345024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -454\/7 + 65. Let r = -52.3 + 52. Which is the closest to -0.1? (a) 0 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and -82649.\nAnswer: 239682.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**8\/56 - 8*b**7\/21 - 7*b**4\/12 - 11*b**2\/2 + 4*b + 24. What is the third derivative of i(a) wrt a?\nAnswer: 120*a**3 - 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*w - 268, 2*g - 4*w - 142 = -0*w. Suppose 7 = -14*h + 77. Let q be 29 - 25 - h*(-1)\/1. What is the greatest common divisor of g and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -2\/3*i**3 + 0*i + 0 + 2*i**2 - 1\/30*i**5 + 1\/8*i**4. Give g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f - 35*f + 68*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4 = -4*y, -2*y = 2*y + 2*p - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 20, 5*p = 2*v + 37. Solve 3 = 4*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 6. Let a(y) = -2*y - 3. Let p = -2149 - -2143. Give p*z(s) - 13*a(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(4\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 118, 116, 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114a15 (base 12) to base 5.\nAnswer: -32343222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 33 = -2*k, 3*k + 4*r = k + 28. Suppose 0 = -2*b - k*t + 228, b - 3*t - 3 = 101. Let g = 309 - b. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/35 - 14\/5. What is the nearest to 2 in -2\/3, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 0 + (-2 - 2 + 2)*(2 + 1 - 1))*(14*l + 7*l - 19*l) as f + c*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -2*o + 425. What are the prime factors of 6\/((-30)\/o) - -176?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.5, 1, 2\/13, -15?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72870558 and 12?\nAnswer: 145741116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from dunlyyudluzudddudu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10011011011001 (base 2) to base 12\nAnswer: 5909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, k: 5, l: 4}. What is prob of picking 2 l and 1 k?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340272 divided by 472?\nAnswer: 24026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-17)\/153).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20057502.\nAnswer: 2, 3, 19, 29, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -87, -116, -179, -288, -455, -692?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 2. Let a(o) = 4*o - 8. Let g(k) = 2*k - 4. Let m(y) = -2*a(y) + 5*g(y). Suppose -17 = h + s, -10 + 39 = -h - 4*s. What is h*l(r) - 6*m(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(256)*4 + sqrt(256)))\/(6*-4*sqrt(648)*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2772 divided by 99\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-10)\/v))\/(v*v**(-7))*v**(-2\/5)\/(v**(1\/4)*v*v))**(-4\/31) assuming v is positive.\nAnswer: v**(-307\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 38335 + 107042 = -80024. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -46. Let u be (40\/x)\/2*-25. Let p be 0 + 3\/(15\/u). Solve -35 = -4*g + 3*t, -p*g - t + 0 = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 + -516 - (-32 + 4 + -4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6787 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -21*d**4\/4 + d**3\/3 + 2*d**2 + 7*d + 11. Is m(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18641698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84582219.\nAnswer: 3, 79, 356887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -17*x**2\/2 - 30*x - 747. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 2*g - 1. Let v(j) = -3*j**2 - 4*j + 2. Let n(p) = -5*i(p) - 3*v(p). Factor n(q).\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-18)*n\/(n**(-2\/89)*n))**(-1\/71) assuming n is positive.\nAnswer: n**(-1693\/6319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55, 133, 211, 289, 367?\n\"Answer: 78*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 12*x - 374. Let c(d) = -d**3 + 8*d**2 - 8*d + 1. Let s be c(7). What is the remainder when l(-27) is divided by (s*(0 + 2))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 8. Let j be d(-8). Suppose -v + 6*v = -4*y + 8, 0 = -3*y + 4*v + 37. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a**3 + 38*a**2 + 39*a**2 + 6*a**3 + 38*a**2 to p*a**2 + w*a + m*a**3 + q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27672375 and 43600?\nAnswer: 2725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o - 80. Let y be 236\/o - 4\/16. Which is smaller: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1584.61 to the nearest integer.\nAnswer: -1585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 13. Let p be z(9). Let o = -10 + p. Suppose o*x - x = 0. Solve 0 = -2*f + 10, -3*d - 4*f = -x*d - 29 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) + 9\/(162\/760). Let x be 7\/(v\/9)*4\/27. Put -1, -5, -2, x in decreasing order.\nAnswer: x, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202463687715 take away 3?\nAnswer: 202463687712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 580\/49 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 324 (b) 217\/22 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 1359, 2045, 2743, 3459, 4199, 4969?\nAnswer: 5775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19222 and 39263.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/41 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - u - 3)*(-3*u + 5*u - 6*u)*(42*u + 102*u - 25*u)*(7 - 3 - 2)*(3*u + 4 - 4) in the form f + s*u + k*u**3 + q*u**2 + i*u**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88381 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-18) - (-2)\/6. Let c = 0 - s. Suppose -5*f + 26 = -2*p, 0 = 3*f - 5*f + 3*p + 17. Sort c, f, -2 in increasing order.\nAnswer: -2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 260. Round z to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/7 + 102*x**4\/7 - 218*x**3\/7 - 310*x**2\/7 + 432*x\/7 + 424\/7 = 0?\nAnswer: -53, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + t - 18, 5*t = 17669*k - 17674*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12101, 12316, 12769, 13538, 14701, 16336, 18521, 21334?\nAnswer: 24853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12206 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -55\/3*z**3 - 1\/21*z**7 + 0*z**2 + 5 + 0*z**5 - 16*z - 5\/4*z**4 + 0*z**6. Find the second derivative of y(l) wrt l.\nAnswer: -40*l**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(13)*-3 - (sqrt(13) + (sqrt(13) + -1)**2 + -4 + sqrt(13))) - (5 + sqrt(117)\/(sqrt(9) - 2*sqrt(81))).\nAnswer: -18 + 31*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197213160\/11020 + 2\/29?\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5)\/w*w)\/w*w)**(-2\/43)*(w**(4\/7))**23 assuming w is positive.\nAnswer: w**(4012\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (14 + -7 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30690355 to the nearest 100000.\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -593, -1080, -1703, -2468, -3381, -4448, -5675?\nAnswer: -7068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*q**3 + q**2 + 75*q**3 - 7*q - 8*q - q**4 in the form s*q + y*q**3 + o + j*q**2 + i*q**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in 2\/3, -0.4, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 49 + 54 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.5 and 37892816?\nAnswer: 37892817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 11*t - 6 = 0. Solve -h + 2*q + t = h, -h + 11 = -3*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 + 3*k**2)*(-71*k + 33*k - 202*k) + (2 - 2 + 2*k)*(-k**2 + 0*k**2 + 3*k**2).\nAnswer: -476*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/54 and -71\/526?\nAnswer: 14202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 11*s**5\/60 + s**4\/24 - 166*s**2. Determine v(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954.9277 rounded to zero decimal places?\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50267, -53695, -57123?\nAnswer: -60551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 70, 221, 514, 997, 1718, 2725, 4066?\n\"Answer: 8*i**3 - i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(-3 - 1). Let h = k + 10. Suppose -3*l + 90 = 3*b, h*b - 3*l - 75 = 2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1740 and -161\/132.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -9*o**3 - 11*o**2\/2 + 82*o. What is the tens digit of n(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 16245152237*k**3 - 4*k + 2*k**2 - 16245152236*k**3 - 1 + 0. Let i = 0 - 3. Determine p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163 and -5.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/40*((-2)\/10)\/((-11)\/(-44))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s. Let y(u) = 340488*u**2 - 2*u. What is f(y(p))?\nAnswer: -1361952*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150655 or 150641?\nAnswer: 150655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3428, -2221, -950, 385, 1784, 3247?\n\"Answer: 32*g**2 + 1111*g - 4571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x - 1. Let o(i) = -i**2 + 4. Let s be o(0). Let c(k) = k**3 - 5*k**2 + 6*k - 3. Let u be c(s). Let p be g(u). Let r(d) = -d - 2. Give r(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(2\/(3 + 1)). Let a = 20 - 33. Let u = y + a. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4 + 10)*(0*u + 0*u + u) + 0 + 0 - u + (-4 + 0 + 2)*(u + 0 + 0) - 2*u - 3*u + 3*u + 0*u - 2*u + u + 3 + u - 3.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**5 - 1\/14*h**7 + 0*h**6 + 1\/4*h**4 + 1\/56*h**8 + 0 + 0*h**3 + 7\/2*h**2 + 17*h. Find the third derivative of z(g) wrt g.\nAnswer: 120*g**3 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 5}. What is prob of sequence xcx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*g = -88, -w + 302 = 3*w - 2*g. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/2*(-34)\/(-85).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 30. Let z(l) = -l**2 + 6 - l - 17*l + 31*l. Is z(r) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 h, and 1 d when four letters picked without replacement from {b: 1, h: 4, i: 1, d: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2876 and 4?\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 381*o**2 + 8*o + 3. Let l be (48\/(-18)*1 + 2)*-6. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101011101?\nAnswer: -101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 11642 + 11642 - 6*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-45 + 54 - (1 - (1 - 39)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13607517 divided by -1?\nAnswer: -13607517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 598636307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32739884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-14103.\nAnswer: 141030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -585 - -800. Find the third derivative of s*y**6 + 17278*y**2 - 17134*y**2 - 9*y**6 wrt y.\nAnswer: 24720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -344886505 - 5?\nAnswer: -344886510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 16. Suppose h*y = -0*y - 680. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**6\/10 + 3*x**5\/10 + x**4\/4 + x + 6. Let i(q) be the first derivative of b(q). Find g such that i(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72410 divided by 36205?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2888, -5023, -7166, -9317?\n\"Answer: -4*m**2 - 2123*m - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*v - 102, -3*s - v = -6*v - 102. Suppose -3*k - 6 = -60. Calculate the remainder when s is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3080\/(-33))\/20 - (-66)\/(-36)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 plus -5535274.11?\nAnswer: -5534550.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 6) to base 15.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2723, 5121, 7523, 9929, 12339, 14753, 17171?\n\"Answer: 2*l**2 + 2392*l + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -22*o**3\/3 - 38. Let p(x) = 2*x**2. Calculate t(p(s)).\nAnswer: -88*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8250 - -8259. Solve 3*x = -r + 6, 11*x - l*x = -r + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -62 - 16. Suppose -8*a = -4*a - 4, 0 = -3*f + 2*a - i. Let g = f - -16. Calculate the least common multiple of g and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (-112)\/40)\/((-2)\/10). Let h(d) = -1 + 14*d - 1 + 0 + 3*d**2. Calculate the lowest common multiple of h(m) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 2*q**3 + 5*q**3 + (-3*q + q + 4*q)*(0*q - q**2 + 0*q) + 21*q**2 - 21*q**2 + 6*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 72 - 5 = w + 5*z, w = 4*w - z + 18 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51184049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027735 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhlh when four letters picked without replacement from lvihvivhvvlhiiihvvv?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42\/13 (b) -299 (c) -2\/6409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*u + 35*u + 35*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 0.2\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121 + 1121 + 1126 - 3368 + 6*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1694*n**2 + 11*n - 54. Let m be l(18). Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2. Let k(g) = 4*g - 227*g**2 + 378 + 371 - 4*g - 751. Give k(h(m)).\nAnswer: -3632*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352 and 40703936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.1. Let p = t - 1.1. Let f = -414 - -413.6. Which is the second biggest value? (a) f (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 20. Suppose -i*m + 31 = -5. What is the least common multiple of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99600 and 15600.\nAnswer: 1294800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let c(m) = 922*m**2. Let z(l) = -323*l**2. Let s(p) = -6*c(p) - 17*z(p). Calculate s(j(n)).\nAnswer: -369*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5\/3 (b) 3 (c) -2\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.28 milligrams in nanograms?\nAnswer: 259280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/7*(-11368)\/(-6496).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1685*a = -1682*a - 546385, 5 = -5*a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 835*v**2 + 5339*v - 1642. Give w(-411).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13846919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 1693.1.\nAnswer: 1693.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9274772 and 390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 15.0529?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o + 0 + 1\/12*o**4 + 0*o**3 - o**2. Let c(w) = -2*w. Calculate s(c(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*8\/(-8*3))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**6\/180 - m**4\/8 - m**3\/6 - m**2 + 81*m. Let q(k) be the second derivative of d(k). Let b(p) = p**2. Calculate q(b(z)).\nAnswer: -2*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l + 68. Let b be t(-4). Let a = b - 102. Which is smaller: 19 or a?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -1. Let u(z) = z**2 - 2*z - 6. Let k be u(5). Let w = x + k. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5410252 (base 6) in base 5?\nAnswer: 32001114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 1 h when three letters picked without replacement from {r: 3, k: 7, d: 3, y: 5, h: 2}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41475391*i**3 + 288345*i**2 + 2?\nAnswer: -248852346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 10. Let t(l) = -l**3 + 7*l**2 + 3. Let o be t(y). Let s = o - 22. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5735 * -1.6.\nAnswer: 9176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 785, 1292, 1795, 2294, 2789, 3280?\n\"Answer: -2*h**2 + 513*h + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/13 - 84*z**2\/13 = 0 for z.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 48. Suppose -k - 43 + 161 = u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -295369 + 64094885\/217. Let x = d + 18\/31. Let n = -1.9 + -0.1. What is the second smallest value in -0.2, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 61776.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 2*o**2 - 7*o - 2. Let g(y) = 14*y**3 - 11*y**2 - 34*y - 11. Let k(b) = 2*g(b) - 11*s(b). What is the second derivative of k(p) wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i - 4. Let r(b) = -5*b + 1. Let u(y) = -2*o(y) - 7*r(y). Let l be u(2). What is the highest common factor of l and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 - 7*l**2 - 40*l. Let y(r) be the second derivative of -r**5\/20 - r**4\/6 - 13*r**3\/6 + r + 452. Give 2*c(a) - 7*y(a).\nAnswer: -a**3 + 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 20*m**2 - 41*m - 40. Let n be d(22). Let j(q) = -q**2 - 4*q + 3. Let x be j(-7). Let y = x + n. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 72 = -12*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15\/2*c**3 + 2*c**4 + 2*c + 6*c**2 = 0. Calculate c.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*z, 4*g + z - 3 = -2*z. Is -79*(3 - g - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102\/103? (a) 121 (b) 24 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37273921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:24 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 4\/8)*-6. Suppose -4*q + 23 = -m*q + 5*y, 3*y - 31 = -q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 161590530, 161590532, 161590534, 161590536, 161590538?\n\"Answer: 2*q + 161590528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 2\/5 (c) -279 (d) -3 (e) 549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 + i**2)*(-5*i**2 - i**2 + 4*i**2) - i**3 + i**3 - i**4 - 6*i**4 - 2*i**4 + 0*i**4.\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088 plus -569125?\nAnswer: -570213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:14 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94869750737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -0.0492.\nAnswer: 0.2508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35280173 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 take away 458488774503?\nAnswer: -458488774503.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 20. Let d(r) = -1. Let i(c) = 24*d(c) - 3*q(c). Is i(-10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -502888 and -1005775\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1268*d + 34. Let h(p) = -425*p - 13. Calculate -8*h(r) - 3*z(r).\nAnswer: -404*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31759420, -63518809, -95278198, -127037587?\nAnswer: -158796976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48995?\nAnswer: 5, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7320076 and 808.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376.1183 decades in months?\nAnswer: 45134.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4 + 14 - 4 - 3*m. What is the units digit of g(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 6427?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76428341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/5 (b) -53 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and -33\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*p - 0*i - 4*i, -5*p + 3*i + 30 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158*v**4 + 55*v**5 + 158*v**4 - 1 + 1 + 2*v**5 + (2*v**4 + 0*v + 0*v)*(v + v - v).\nAnswer: 59*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, l: 4, n: 1}. Give prob of sequence ll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -12) + 81 + -95\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177\/(-118))\/((-6)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*v = 20 - 2, 2 = -x + 4*v. Let h be (-40)\/18 + 1 + 1. Which is the closest to h? (a) x (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 184*n**2 - 430*n + 12056. Give t(182).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 372096051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-7)\/2)*1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -38 + 83 - 2*f - 37. Let m be u(2). Solve 6 = 3*h, 7 + 17 = -m*w + 2*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13600*m**4 + 500*m**3 - 22302400?\nAnswer: -54400*m**3 + 1500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcbcccjjjbjb. What is prob of picking 3 b?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 491885.296 + 0.2.\nAnswer: 491885.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*n**3 + 1198*n**3 - 25*n**3.\nAnswer: 912*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a, 0 = p + 2*p - 6*a - 12666. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**2))**(-2\/25)*o*o**10*o*o*o**(-8\/3) assuming o is positive.\nAnswer: o**(763\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 bigger than 982284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4720.953 hours to minutes.\nAnswer: 283257.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 11*h - 22. Let l be x(-9). Let q be 0 + (6 - 2 - l). Solve 4*c = 2*c + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 1.95. Let v = -229.9 + 224. Let x = v + 4.1. Is x smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s + 3 - s - 80 - 83. Calculate h(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.5999911 + -17.6. Round m to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 576\/(-180) - (2 - 4 - 2)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9175*m + 9175*m - 871*m**3 + (0*m + 0*m + m**3)*(-4 + 3 + 2) + 4*m**3 - 3*m**3 + m**3 in the form c*m**3 + n + l*m**2 + h*m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -107. Solve -f*k = 3 + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 1, b: 4}. Give prob of picking 1 g and 1 b.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/5, -4, -5\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*p = 1118*p + 240 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -6. Let s = x - -15.99884. Round s to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:27 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 247400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69655308 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342308 is divided by 24432.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (206*(-5)\/(-20))\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77521.\nAnswer: 77521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4759226909?\nAnswer: 47, 151, 670597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 4*t**4 + 3*t**3 + (6*t**2 + 6*t**2 - 5*t**2)*(0*t**2 + t**2 - 3*t**2) - 2 + t**4 + 2 + (-1 - t + 1)*(-t**3 - 3*t + 3*t).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6 - 1 - (2 + -5). Which is the closest to 3\/8? (a) -2 (b) -0.1 (c) l (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/18 and 5\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m = 3*o - 4, -5*m = -5*o + 5. Let r be o - (3 + (-5500)\/5508). Let b = r - 28909\/5508. Find the common denominator of b and 47\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -971 + 971. What is the nearest to z in 3\/4, -66, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 51. Let a = 51 + -74. Let i(k) = 3*k + 77. Let c be i(a). What are the prime factors of n(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3760, 15350, 34670, 61720, 96500, 139010?\nAnswer: 189250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -136. What is the remainder when m is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = a + 2*i - 13, 3*i = -3*a + 21. Suppose -m + 5 = -0*l - l, -3*m + 29 = a*l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/3 - 689660*j\/3 - 229886 = 0.\nAnswer: -344829, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 5*i**2 - 4 + 10 - 6*i.\nAnswer: -9*i**2 - 6*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 1122?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/j**(-6)))**(-3\/2)*(j\/j**(2\/5))\/((j*j*j*j*j**(-3\/13)*j)\/j))**(-12) assuming j is positive.\nAnswer: j**(-3378\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -49. Let n(d) = -d**3 + 4*d**2 - 2*d + 1. What is the remainder when 108\/s - (-2)\/8 is divided by n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 74. Which is the nearest to -0.1? (a) -3 (b) w (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.944329908 to three dps.\nAnswer: -8.944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*g = 3*m + 819, 3*g + 822 = -3*m. Does m = -271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 75*n**3 + 1. Let u(t) = -4*t**2 - 35*t + 87. Let s be u(2). Calculate h(s).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -67) + (-2 + 1)*-2. Let x = -52 + s. Let f be ((-1)\/(-1) - 1) + 2. Solve -2*a - 4 = -4*y - a, 0 = f*y - 4*a - x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42a2b + -1b9?\nAnswer: -42c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 - 899*t\/5 - 898\/5 = 0. What is t?\nAnswer: -898, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16166, 32329, 48492, 64655, 80818, 96981?\n\"Answer: 16163*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1797*f**3 + 4*f**2 + 18*f + 54.\nAnswer: -10782*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-5 - (-4 + -1 + -6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6623 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l - 126. Determine q(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from jjjjjjjwwjj.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2. Let f(g) = 4453 + 4*g - 4451 - 3*g. Calculate j(f(m)).\nAnswer: -3*m**2 - 12*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 306. Let l(y) = -2*y**2. Calculate d(l(n)).\nAnswer: -4*n**4 - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -113300233 (base 5) in base 2?\nAnswer: -10000000001100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 - 4*x**2 + 4*x - 1. Let u(f) be the second derivative of 29*f + 7\/12*f**4 + 0 + 1\/4*f**5 + f**2 - 7\/6*f**3. Calculate 7*l(i) + 4*u(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0)*(-2)\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -32 - (4 + (-4 - -4)). Let w be 6\/(m\/6) - -167. What is the highest common divisor of w and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 86 + 13 + (2 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 80360502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/9 - 4*w**3\/3 - 14*w**2\/9 + 32*w\/3 - 8 = 0?\nAnswer: -3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 + -272. Sort u, -3, 0.2, -4.\nAnswer: -4, -3, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + k = 3*k + 24, -n - 5 = -5*k. Calculate the greatest common divisor of 330 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u + 588. Suppose 10*p = 23 + u. Let o = p - -35. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/110*2\/(-26)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23286.71 + -23287. Which is the closest to y? (a) 0.5 (b) 4 (c) 3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 3*d**3 + 3*d**2 - 4*d**2 - d**4 - 10*d**3 to the form k*d**2 + r*d**3 + w + v*d + h*d**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1331) + sqrt(1331))*3)**2 + -2*sqrt(33)\/sqrt(3) + (sqrt(11) + 0 + -2)**2.\nAnswer: 390*sqrt(11) + 47940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258 + -254.28. Round v to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**3 + 80*t**2 + 140*t = 0.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4 + 4*q**2 - 9*q**2 + 6*q**2. Suppose 116*d = 120*d - 16. What is u(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -100, -74, -50, -28?\n\"Answer: -p**2 + 29*p - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8018\/114 + (-1)\/1)*(-96)\/(-256)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2054850, -4109690, -6164532, -8219376, -10274222, -12329070?\n\"Answer: -n**2 - 2054837*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41044, 41060, 41084, 41116?\nAnswer: 41156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1815*f + 736*f + 351*f + 732*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*q = 3 + 2, -3*f = -2*q - 2. Suppose f = 2*a, -254 - 1153 = -3*c + 4*a. What is the remainder when 59 is divided by (-2)\/(-8) - (5 - c\/28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 983124627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 401 - 381 = -46 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 at most 3543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773572.\nAnswer: 2, 3, 231131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**4 + 234*v**3 - 12*v**2 - 8*v + 0*v**2 + 4*v**5 - 230*v**3.\nAnswer: 4*v*(v - 1)*(v + 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/8)\/(1\/2). Suppose -50 = -n - u. Let w = n + 68. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22189 + 2626 - 24160 = -325*x - 10248 for x.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*k**3\/5 - 188957*k**2\/5 - 45612*k\/5.\nAnswer: k*(k - 6516)*(29*k + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100104411 (base 5) to base 3\nAnswer: -202000221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312859 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c**2 + 43*c - 54. Let m(p) = -10*p**2 - 43*p + 55. Let n(f) = -4*m(f) - 3*o(f). List the prime factors of n(-21).\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21046 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 772 + -506. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*y**2 - 949 + 315 + 314 + 314 + 4*y**3 to the form v*y**2 + h*y**3 + d*y + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -6. What is the smallest common multiple of z and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.516769 nanometers to millimeters.\nAnswer: 0.000001516769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*h = -5, -d + 12 = -0*d - 2*h. Factor -9*w**4 - 6*w + 6*w**3 + 5*w**2 + 0*w**3 + 2*w**2 + d*w**2.\nAnswer: -3*w*(w - 1)*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (92 + -29 - 51) + -110\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 30. Let v be (-10*(-12)\/(-42))\/(6\/21). What is p(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*g - 7, -4*h - 5*g = -23 - 1. Let y be 0 - (-7 + 4)*h. Factor -21*u - 20 - 2*u**2 - y*u**2 + u.\nAnswer: -5*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**3\/6 - z**2 + 4*z + 8. Let a = -7 - -4. Let b(y) = -2*y. Let o be b(a). Determine t(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (64\/(-24))\/(8\/(-156))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*h - 88*h + 163*h - 56. Which is the third smallest value? (a) h (b) -2 (c) -17 (d) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -30*r - 140. Determine b(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17739 (base 11) in base 14?\nAnswer: 90ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -363386 + 195501743\/538. Calculate the common denominator of m and 13\/22.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 32*c**2 + 742*c + 24043. Determine n(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r*y**3 - 160*r*y - 3*r - 107*y**5 wrt y.\nAnswer: -6*r*y - 2140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 5366532620?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141660154, 283320306, 424980460, 566640616, 708300774, 849960934?\nAnswer: 991621096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1936079, -1 in ascending order.\nAnswer: -1, 1, 1936079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from rkrvz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 67*o**2 + 135*o - 24090. Determine t(70).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -291\/4, -1\/3, -4\/63, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:01 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8817 and 81.\nAnswer: 238059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186455?\nAnswer: 5, 89, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 3. Let f be (-6)\/(-20)*(-4)\/(-6) - (-957)\/165. Let x(g) be the third derivative of -g**5\/20 + 5*g**3\/6 - 4*g**2. What is f*x(n) + 10*k(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21048.97*4\nAnswer: 84195.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(4)*-1)\/(sqrt(30)\/(-3*sqrt(10))) - -3*(sqrt(208)*-2*5 + sqrt(208)))**2.\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 - 4*s**2 + 4*s**2)*(0*s - 13533 - 2*s + 18*s - 17*s) + 4*s - 4*s + s**4 to c*s**4 + h*s + p*s**2 + g*s**3 + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*v = 173*v + 17490. List the prime factors of v.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p + 1902*h = 1899*h + 197, 3*h = 5*p - 95 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1898528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6)*f)**(-32)*(f*f**(-3\/22))\/((f*f**(-9\/5))\/f*f) assuming f is positive.\nAnswer: f**(-27977\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 + 0.1. Let q = -0.6 + 3.6. Suppose 8 = 3*v + 2. What is the closest to v in q, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -218, -388, -558, -728, -898?\n\"Answer: -170*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:35 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. What is the lowest common multiple of ((8\/1)\/2)\/1 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:24 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 323439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/99069568 and -46\/240201.\nAnswer: 891626112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/620*-30)\/1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 7. Suppose 2*z - 2 = 0, w + 2 = -5*z + 14. Let x be f(w). Suppose 3*j = -x*j + 114. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (538 + 207 - 28)*(2*l + l - 5*l)*(1 + 3 + 1) to o*l + d and give o.\nAnswer: -7170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7054*x - 38077. Determine o(-6).\nAnswer: 4247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 8, s: 8}. What is prob of sequence qcsq?\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -146, -281, -470, -713?\n\"Answer: -27*b**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i. Let s = 12 - 15. Let t(n) = -n + 3. Let z(r) = -r + 1. Let m(p) = -t(p) + 3*z(p). Suppose -c + 8 = -0*c. What is c*m(l) + s*d(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 5\/3 (c) -1.81 (d) -7 (e) 1\/10 (f) 3.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(27)\/sqrt(441)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.255 - -13.806. Let s = 66 + m. Let f = s + 0.029. Round f to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211106911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + s. Let m(l) = -l + 106*l**2 - 304*l**2 + 98*l**2 + 97*l**2 - 1. Determine -3*m(o) - 5*p(o).\nAnswer: -o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 11*y**2 - 6*y + 12. Suppose -5*c = -a - 24, c + 3*a = -4*c + 28. Let q be r(c). Suppose q*p - 1659 = 672. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*m - 112312 = 368*m + 386*m for m.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1261798514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 291*p + 9054. Does 15 divide s(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 1\/6 (c) 10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -33, -0.7, -0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4. Is -3 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 171094, 171239, 171382, 171523, 171662, 171799, 171934?\n\"Answer: -z**2 + 148*z + 170947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 29*l - 166. Let k(v) = 55*v - 332. Let b(y) = 5*d(y) - 2*k(y). List the prime factors of b(24).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (0 - -3 - (-4 + 8 + -10))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -383.0000694 + 383. Round d to 6 decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292 (base 10) to base 2\nAnswer: 100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 936125 = 936126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = i - 114 + 38, 2*d = -2*i + 26. Which is the nearest to 2\/3? (a) 1\/3 (b) 72 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*9 - 3920\/245. Let s(v) be the first derivative of 0*v**g + 0*v - 1\/3*v**3 + 21. Let n(i) = -28*i**2. What is n(s(b))?\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010100111 (base 2) in base 15?\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 1\/60*k**5 + 0*k + 10*k**2 - 1\/6*k**3 + 1\/4*k**4. Give g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 - 5. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120567243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 0*o - 2*o - 3 - o + 4*o + 0*o + (-2 + 0 + 1)*(-2*o - 2*o + 3*o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142.\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/175 - -4*235\/(-140).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19071?\nAnswer: 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let o = -1 - r. Let 3*k + 2 - k**3 + o - 4 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 37822 - 535768 = 0. Let p = 103573357\/208 - v. Let q = p + -36\/13. Do q and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431820.7cm in kilometers?\nAnswer: 4.318207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:54 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 348160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/8438 and 1\/(1214\/130 + 153\/(-17)).\nAnswer: 92818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**9\/30240 + n**8\/5040 - n**7\/2520 - n**5\/15 - 5*n**2. Let i(z) be the third derivative of l(z). Solve i(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1917, 3831, 5745, 7659?\n\"Answer: 1914*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**5\/120 - z**4\/24 - 11*z**3\/6 - 64*z. Let k(p) be the second derivative of l(p). Calculate k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Suppose -3*v = y*l - 38, -3*v + 3 = -0*v. What is the second derivative of 16*b**3 - 16*b**3 - l*b + 3*b + 4*b**4 wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3810128?\nAnswer: 2, 7, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7662623 to three dps.\nAnswer: -3.766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2*54\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-300)\/312 - 8\/208.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401 plus -0.03?\nAnswer: 5400.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 111, 131, 169, 231, 323, 451?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 193*o + 3522. What is the smallest common multiple of 680 and m(-9)?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27508 + -21024. What is the remainder when z is divided by 382?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 + 1225*i**3 - 12505*i**2 - 351925*i + 1922250 = 0 for i.\nAnswer: -15, 5, 22, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1057016\/427143 + 329485845673\/40552956420. Let g = 1\/4747 - j. What is the common denominator of g and 95\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/96495 and -89\/3338727.\nAnswer: 16693635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j + 0*j**5 + 0*j**7 + 0*j**6 - 1\/28*j**8 - 67\/24*j**4 + 5*j**2 - 7 + 0*j**3. Find the second derivative of y(n) wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 + 0.9. Let h be (6 - 1947\/330)*(1 + -2). What is the nearest to -0.07 in s, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 15*b + 9. Let l be 4*1*(-98)\/56. Let s be v(l). Suppose -p - s*p = -4*z + 612, 0 = z - 3*p - 153. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 3*n**2 + 3*n - 2. Let b be l(-4). Suppose 9*z - b = 4*z - 2*q, z - 4*q + 4 = 0. Solve z = 4*j - 3*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274, 1287, 1308, 1337, 1374, 1419?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 813209.5767.\nAnswer: -813209.9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t + 3*f - 16, 2*t - 2*f = 0. Solve -t*v - v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 7, 19, -1383 in descending order.\nAnswer: 19, 7, 4, 2, -1383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**(-23))**(5\/13)*((n**0\/n)**9)**36 assuming n is positive.\nAnswer: n**(-4442\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + 4*(sqrt(1053) + 1) - (-2 + 2 + sqrt(1053))).\nAnswer: 20 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -3*v + 70, 0 = 2*q + 5*v - 3. Let s = q + 23. What is the highest common factor of s and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5312\/15 - 354. Let u = 0.24 - -4.76. Let r = 0.1 + -1.1. Sort r, u, d.\nAnswer: r, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2882*v**3 + v - 1. Let m be j(1). Suppose -6*t - 5*t = -m. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 10*k - 9. Let z = 35 - 6. Suppose -5*c + 0*u = u + 31, u = 5*c + z. Determine j(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 11:05 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - 3*q**2\/2 - q. Let a be s(-8). Suppose 3*v - 4*n = a, -3*n - 7 = -v + n. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -6*k - 1\/6*k**3 - 1\/60*k**5 + 5\/2*k**2 + 0 - 1\/12*k**4. Let n(v) be the first derivative of r(v). What is x in n(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-9)\/(567\/9))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1508198813 and 5203.\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4725*p - 155572 - 151553 = 0 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11426 divided by 2?\nAnswer: 5713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**3 - 70*b**3 + 30*b**3 + 132*b.\nAnswer: -b**3 + 132*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siis when four letters picked without replacement from {s: 18, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4758 - 9aa?\nAnswer: -5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 + 87*c - 1504. What is the least common multiple of n(18) and 466?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302157 divided by -589\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i*i**4)\/(i**2\/(((i*i**5*i)\/i)\/i)))\/((i**3*i*i*i**(3\/7)\/i*i)\/(i**4*i**(2\/3)*i)) assuming i is positive.\nAnswer: i**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374893867 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + -41. Let w = x - -221. Calculate the remainder when 146 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {d: 5, y: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3256 and 6512.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 43658*j**2\/3 - 72780*j = 0. What is j?\nAnswer: -21834, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, 5, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 488888 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*r + 302 - 265 = 0, -2*r = -2*q + 22. Let l(s) be the second derivative of -s + 0 + 2\/3*s**3 + q*s**2 + 1\/36*s**4. Let l(x) = 0. What is x?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27880, 27877, 27872, 27865, 27856, 27845, 27832?\n\"Answer: -h**2 + 27881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112310 (base 4) to base 2.\nAnswer: 10110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.18 + 85.82. Let u = -87.00348 + s. What is u rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 4\/3 (c) -4\/9 (d) -0.131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/12 + 3\/(-18). Let l be -5 + -5*(b + 5). Let d(j) = j**3 + j**2 - j + 467. Is d(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -833086877?\nAnswer: 833086882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-1))\/(10\/(-5)). Let b = 12 - 12. Suppose 2 = 4*r - 2*z - 12, 5*r - 5*z - 15 = b. Solve -r*m = -2*j + j - 24, 5*m + x*j = 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*b + 1154 + 156, -524 = -2*y + b. Suppose -1018 = -3*v - y. Suppose 183*s = 186*s - 84. Calculate the greatest common divisor of v and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129222 and 7578.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 36*k - 41. Let a be (-14)\/(3\/4 - (-44)\/(-16)). Is p(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160631*i**4 + 3*i**2 + 2*i + 16531928.\nAnswer: -642524*i**3 + 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*t - 6 - 14, 3*t - 26 = -5*s. Suppose 0*n - 108 = -s*n. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (-196)\/(-11) - (-10)\/55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002005318 to 5 dps.\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 2. Let n be l(0). Let x be (-3)\/1 - (-3 + 12\/(-66)). Factor x*v + 0 - 8\/11*v**n.\nAnswer: -2*v*(4*v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.3 times 453\nAnswer: 4665.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/28)\/(1\/(-14)). Let d(q) = -q**2 + 4*q + 3. Let t be d(i). Suppose u - 21 = -t*c + 6*c, 0 = 5*c - 20. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (460\/276)\/(2 - (-26)\/(-12)). Which is the closest to o? (a) 2 (b) 2\/11 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 3*z**2\/5 + 3*z\/5 + 1\/5.\nAnswer: (z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 10 + 21 = a, -335*a = -13*g - 333*a - 7 - 82 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -6, 7.8, 4, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/((63\/35)\/(-9)) - 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011011101011111 (base 2) to base 3.\nAnswer: -110101002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r - 100. Let d = r - -20. Suppose -2*h + 4*a + 26 + 44 = d, -3*h = 2*a - 65. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/181 and 7\/8.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195e57 (base 15) to base 11.\nAnswer: 773a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) - 25\/(-4). Let l(t) = 6 - 1 - 2 + 0*t**3 + 6*t + t**3 - 7*t**2. Let h be l(b). Solve 0 = 4*g - 16, -5*y = h*g - g - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 40 = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a day in hours?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6745 or -141646\/21?\nAnswer: -6745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31438, 125668, 282694, 502516, 785134?\n\"Answer: 31398*l**2 + 36*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 77 = -81. Solve 0 = 3*v - s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -91, -209, -327, -445, -563?\n\"Answer: -118*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -1*sqrt(88)\/sqrt(8)) + (sqrt(11) - sqrt(132)\/(4*sqrt(12) + sqrt(12)))**2.\nAnswer: 2*sqrt(11) + 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*n = 92*n. What is the nearest to n in -3, 0.4, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65467\/10 + 6554. Calculate the common denominator of r and -71\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4*c - 3*c)*(271 - 891 + 220 + 238) to o + k*c and give k.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/16 + 345\/6. Suppose 0 = -5*w + 3*w + 4*r + g, -2*w - 4*r = -26. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45268 divided by -11?\nAnswer: 45268\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 558719971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471*p + 15 = -1468*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 127*b + 13854. Determine d(-109).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67005, 69797, 72599, 75417, 78257, 81125?\n\"Answer: o**3 - o**2 + 2788*o + 64217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (3 - -258) + -7 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208\/5 + -41. Let l = -10957 + 10956. Which is the nearest to l? (a) -5\/3 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/(-231)*(9\/(-4))\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 6.2. Let y = -0.1 + m. Let z = 8 - 3. Sort z, y, -1 in decreasing order.\nAnswer: z, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1500, -6, -0.32, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 220 = -q, 4*q = -h - 4*h + 195. Let j(d) = 16*d - 164. Let g be j(9). Let v = h + g. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 7150.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 - 12*v - 36 = 0. Calculate v.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5634 and 203358291?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(5 + -6))\/((-3)\/(-35)). Suppose 8*c = 363 - s. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 0.02. Let g = p + -0.1. Let y = g - 0.15. Which is the second biggest value? (a) -0.5 (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132371 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38196\/(-2))\/6 + 15\/(-5). Let x be 1 - 4 - 9594\/s. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22114 (base 5) to base 13\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 3*g + 0*g)*(0*g + g + 0*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -104, 2\/11?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 86.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 + (-3 - -2) + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6073610?\nAnswer: 2, 5, 23, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f - 112 = 333. Let z = -720\/7 + 103. Let u(h) = -h - 2. Let k be u(-7). Which is the second smallest value? (a) k (b) z (c) f (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87082 and -0.06838.\nAnswer: -87082.06838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*1*(-2)\/(-4). Suppose 2*f = -0*f + s. What is the derivative of -f*y**4 + 1 + 0 + y**4 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*j = -32, 0 = v + 8*j - 3*j - 41. Suppose 12*d = 16*d - v. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165 - 79. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -0.02 (c) -2 (d) 0.7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 + 5*b**2 + 8*b + 23. Determine s(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + ((2*sqrt(119) + sqrt(119))*-2 + (sqrt(119) - (sqrt(119) + (sqrt(119)*1 - sqrt(119) - sqrt(119)))*-3))\/(-3*sqrt(63)*6)).\nAnswer: 25*sqrt(17)\/54 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -202130?\nAnswer: -202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2 + 21937468*k - 60156562781378 = 0.\nAnswer: 5484367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -68, 5\/4, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 3*m**2 - 3*m**2 - m**2 - 2*m + 2*m + (-m**2 - m**2 + 4*m**2)*(-1 + 0 - 1) + 3*m**2 + m**2 - 3*m**2 + (1 + 3 - 3)*(2*m**2 - 2*m**2 + m**2).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21\/11 - 581\/22. Let a = 1251006754 - 23744108184237\/18980. Let t = -2\/949 + a. Find the common denominator of t and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59)\/(-2))\/((-594)\/(-84) - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211033299.\nAnswer: 3, 70344433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 7. What is l(-27)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 8*a + 11. Calculate u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 16.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k + 3*v, -5*k = -2*v - 13 - 5. Let z be (-1)\/k - (-87)\/12. Let c be (-2)\/z + (-32)\/(-14). Solve -2*i = c*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 2*v + 1. Let f(j) = -5*j + 196. Let k be f(39). Let w(m) = -6*m**2 + 24*m + 12. Let y(o) = k*w(o) - 12*l(o). Let d(a) = -11*a. Give d(y(x)).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - (-24 - -22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v - 2*v + 94164*v**4 - 94200*v**4 - v**2 to the form j*v + u*v**4 + w*v**2 + f*v**3 + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k. Let t(p) = 2391117*p. Determine v(t(h)).\nAnswer: 54995691*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.21 - 0.23. Let w = -0.02 - y. Which is the second biggest value? (a) -3 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 7*l**2 - 6*l. Let w be (80\/(-60))\/((-4)\/9). Let s(k) = -5*k - 13 + w + k**2 + 2. Let r be s(7). Calculate g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 998, 839, 728, 665?\n\"Answer: 24*f**2 - 231*f + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, -296, -889, -1708, -2747, -4000?\nAnswer: -5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (-1 + 0)*2\/(-3)*(-48447)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11216 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6997 + 7176. Which is bigger: 0.15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 1:19 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u = 44*u + h + 9, 202*u - 201*u + 3*h - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-14)*16 - 4. Let i(y) be the second derivative of 5*y**3\/3 - 5*y**2 + 7*y. Let m be i(3). Solve -c + m = t*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0529? (a) -1\/9 (b) 5 (c) 36\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-399*w - 212*w + 177*w)*(-4 + 1 + 2)*(-5 + 1 + 2 + (4 - 5 + 0)*(2 - 1 + 0) - 3 + 4 + 1).\nAnswer: -434*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 0.003, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:36 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.354962716 + 0.35502. Round d to 6 decimal places.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 3*n - 2*n + (0 + 5 - 4)*(4*n - 4*n - n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4662*r - 662025. Determine z(-142).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 - 2*a - 10. List the prime factors of y(7).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 2385.\nAnswer: 715.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -13*t + 127. Let l be d(10). Let c(z) = -212*z - 6. Does 30 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 - n. Let l(o) = 5*o**3 - 4*o**2 - 4*o + 1. Give -l(c) + 6*s(c).\nAnswer: c**3 - 2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqmohhomhamhohmh. Give prob of sequence omoq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.186 - -4.814. Which is the nearest to 2\/7? (a) -0.1 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 + -6)\/1*(-2 - -1). Let i be -3 - ((-3 - l) + -79). Calculate the highest common factor of 64 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 3*n**2 - n - 8. Let k be d(2). Suppose -k*r + 6 = -8*r. Let m be 18\/15*10\/r. Sort -2, 1, m.\nAnswer: -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 96*h - 96*h + 7*h**2 + (5*h - h - 2*h)*(2*h - 1 + 1) + (8 - 8 + 3)*(-2*h + 2*h + h**2).\nAnswer: 14*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 2. Let n be x(1). Suppose -3*k + 8*k = n. Let v(d) = d - 2. Let r be v(1). Which is bigger: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 6. Let z be l(-3). Suppose 0 = 7*b - 3*b - 2*i - 2, -b + 28 = 5*i. Solve 6*c - 3*c + 6 = b*h, -6 = -3*c - z*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltk when three letters picked without replacement from tqqquklktqqllqkl.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -302?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 divided by 294690?\nAnswer: -85\/58938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*r + 61. Let p be 2\/((4 - 1) + r) - -5. What is the greatest common factor of p and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*w + 3. Let d be 5 + -3 - 4*w. Solve -d*g = -2*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 21. Let m(k) = -3*k**2 + 12*k + 4. Let l(q) = -3*q**2 + 18*q + 6. Let h(t) = 2*l(t) - 3*m(t). Calculate h(a(d)).\nAnswer: 108*d**2 + 756*d + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 80. Let x = 2 + -2.1. Let h = -1624 + 1618. Put x, i, 2, h in descending order.\nAnswer: i, 2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/(-12))\/(-81)*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19995060809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)\/sqrt(7))\/(sqrt(162)*2) + (6*-3*((sqrt(5) - 3*-2*sqrt(5)) + (-1 + sqrt(5))*3))**2.\nAnswer: -116639*sqrt(5)\/6 + 164916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwtttattkwtttktwtkt. What is prob of sequence aw?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 5.97, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = t. Suppose 4*i = 2*s - 4*s + 24, s + t*i = 13. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 96 = -3*f. What is the remainder when (-10 - f) + (3 - 0) is divided by (2 - -3)*(-12 - (-198)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((2 - 3)\/3). Let d = -49 + 58. Let z be (d\/v)\/(1\/2). Solve 4*p + z*u = -p + 2, 5*p + 2*u = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuv when four letters picked without replacement from {v: 9, u: 2, q: 2, w: 1}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 5 - (2 + -3)) + 9. Let y(f) = f**3 - 5*f**2 + 6*f - 6. What is the hundreds digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97556695.\nAnswer: 5, 887, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 903692603*m - 1217121779.\nAnswer: 903692603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10795 is divided by 389?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Is 1\/(0 + b\/273) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(1\/2)*j)*j**1)**(-48)\/((j\/j**(2\/7))**(1\/7)\/(j\/j**(-1\/3))**16) assuming j is positive.\nAnswer: j**(6649\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8360 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: b\"What is the gth term of -4304905, -8609793, -12914681, -17219569, -21524457?\n\"Answer: -4304888*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**9\/52920 - n**8\/23520 + n**7\/8820 + n**6\/2520 - n**4\/3 + 5*n**2. Let k(u) be the second derivative of b(u). Factor k(z).\nAnswer: -2*z*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -924 + 14?\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427799198.\nAnswer: 2, 213899599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 55*z + 46 = 0. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.084845.\nAnswer: 0.084845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -796, -1913, -3622, -6007?\nAnswer: -9152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1101023 + -1?\nAnswer: -1101024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -15) + -15 - (3 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10259 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: Suppose 5*l + 3*m - 141 = l, 0 = -3*l + 5*m + 113. Let i = l - 36. Let d(c) = 2*c - 1. Let v be d(i). Which is smaller: -2\/333 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f*i*w + 3*f*i + 438*f*w - 94*f + 2*i*w - 34280*i - 6*w + 62 wrt f.\nAnswer: -4*i*w + 3*i + 438*w - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 2*l + 0*l - 72.\nAnswer: -l - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 1)\/(-2)*(-164)\/8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/4261 - -4257\/8522. Factor 0*l**2 + 0 + 0*l + 0*l**3 - t*l**4.\nAnswer: -l**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-2))\/(1\/(-2)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560.854922 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7623, 7622, 7621, 7620, 7619, 7618?\n\"Answer: -x + 7624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 8. Let x be v(7). Let r(n) = n. Let i(d) = 5*d - 1. Let f(t) = x*i(t) + 6*r(t). Let h(l) = l**3 + 3*l**2 - l - 3. Let o be h(-3). Give f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 1)*(7*u + 3*u - 7*u)*(496 + 453 - 765) to i*u + g and give i.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) -1 (d) -2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020512 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 12, -11, -1, 5.\nAnswer: -11, -1, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5164166846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*p - 113, j + 36 = 3*j + 3*p. Suppose 0 = -4*d + 20, 3*q + d - 11 = j. Let a = -3 + q. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - 2*f + 2*f)*(3*f + 4 - 4) + (-5*f**2 + 1 - 13*f**2 + 5*f**2)*(4*f - 2*f - 4*f) as m + j*f**2 + p*f**3 + q*f and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2591 - -7991. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 - -11.24. Let m = f + -8. What is the closest to m in 0.5, 0.3, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*m**3 - 712*m**2 wrt m?\nAnswer: -2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8061.5 - 8062. Which is the closest to -2? (a) -1.54 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-2) - 3\/(-6). Let g = -0.98 + -0.02. Suppose 6 - 17 = -2*d - l, 2*l = 3*d + 1. Which is the closest to g? (a) 0 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 34*r + 24. Let f be i(9). Is 11010*(7 - f) - 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let w = 42 - 32. Suppose 14 = 5*y - 4*y + 3*p, -3*y = -4*p + w. What is x(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3\/8, -3, 1, -0.02 in decreasing order.\nAnswer: 6, 1, -0.02, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 89058510*j + 660951516951675 = 0.\nAnswer: -14843085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4251\/54 - (-5)\/(-10). Let d = -78 + m. Sort d, 0.5, -2\/9 in ascending order.\nAnswer: -2\/9, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, -36 in increasing order.\nAnswer: -36, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 19*k**2 + 19*k - 5. Let q be j(-18). Let h = 27 + q. What is the first derivative of h - 16*x**3 - 12*x**3 + 30*x**3 wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 2. Let n be j(-4). Let k = n + -2. Let g = 0.44 + -0.14. Which is the nearest to -0.1? (a) 5 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/25600 and -149\/1188.\nAnswer: 7603200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = y - 6, -182*y - 11 = -5*t - 184*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 86. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 273, 277, 283?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 631334102704.\nAnswer: 631334102710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.33 + -2.1. Let y = -0.43 + p. Which is the third biggest value? (a) -1 (b) 5\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -118, -148, -198, -274, -382?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -2.826 (b) 0.4 (c) 10\/29 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28 - 4*h**2 - 14*h**4 + 6 - 3*h**4 + 19*h**4 - 43*h**4 wrt h?\nAnswer: -984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293487 to the power of 1\/2, to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-42)\/(-4))\/(30\/40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 + 84*k - 95. Give i(-17).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yal when three letters picked without replacement from {k: 4, r: 1, y: 9, l: 1, a: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4402c (base 15) to base 7.\nAnswer: -1556601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + x**2 + 2 + (370 - 148 + 499)*(-2 + 0 - x**2 + x - 2*x**2) to y*x**2 + z + t*x and give t.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n + 16. Suppose -n*j + 1772 + 1581 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/58? (a) 1.9 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -3\/8, 22, -3.\nAnswer: -23, -3, -3\/8, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-15))\/((-6)\/(-7983)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37632)\/224)\/(3\/1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43095\/9945*(1 - 13\/4) + (12 - 4).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 6 = -2*t, t + 3*t + d + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 218653075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d - v = -27, 69 = 2*d + 5*v. Let s(l) = -569*l**3 + 573*l**3 - 1 - 2 + 3*l**2. Calculate the remainder when s(2) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001011000 (base 2) to base 10.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 31 = -o, -2*o + 5*d + 85 = -52. Calculate the greatest common factor of 42 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101*8\/(-84) + (7 - (20 - 3)).\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72781 equal to 4605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61783?\nAnswer: 31, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16060 and 706640.\nAnswer: 706640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:34 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.717622 rounded to two decimal places?\nAnswer: 40.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/19432 and 89\/10.\nAnswer: 97160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - h**3\/3 + 2*h**2 + 6*h. Determine t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.5023 hours in microseconds?\nAnswer: 3094208280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) 9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22369159*i - 22991612?\nAnswer: -22369159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 33*h**2 - 34*h + 111. What is w(32)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g - 91. Let u be x(7). What is the second derivative of 234*j - 3*j**3 - 91*j - u*j**4 + 117*j wrt j?\nAnswer: -84*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 13*b - 17*b - 568, 573 = 3*s - 3*b. What is the greatest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 66, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -532ba - 8?\nAnswer: -532c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/824 and -9\/4?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 5*d + 1. Let j be c(-4). Suppose -4*n = 2*r + 11 + 21, -26 = n + j*r. Is (16 - n) + (-3 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 187485 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/30*70\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h - 2*h. Let t be 42\/((3 + -1)\/h). Is 4 a factor of ((-7)\/(-3))\/((-7)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 20 = 3*f + 16, 2*f + 100*d - 140*d + 366 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/47807 and -91\/6.\nAnswer: 286842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 + z - 16. Let o be h(7). Suppose 2*s = 3*s - 5. Calculate the highest common factor of o and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1222*z + 14854*z**2 - 3697*z + 1239*z + 1236*z in the form k*z + r*z**2 + h and give r.\nAnswer: 14854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 189*t**2 - 188*t**2 + 1.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 4\/3*p + 8\/9*p**3 + 1\/6*p**4 - 7 + 5\/3*p**2. Find g, given that v(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -99*l**2 - 9*l - 46. Let y(o) = -115*o**2 - 9*o - 47. Let x(q) = -7*h(q) + 6*y(q). What is x(-6)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-3 - (32 - -43)) + 2 + -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 8, -1\/2, -27?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:52 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*b - 3*x - 426, 5*b = -4*x + 1157 - 1112 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*x - i, 7*x - 3*x + 5*i - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2216 + -8.2.\nAnswer: 2207.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = 8*p - 408. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*w = -25, -16*a - 3*w + 15 = -11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -160, -243, -322, -391?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -366\/7. Let a be 2 - 16\/5 - 0. What is the third smallest value in b, -3\/7, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n = -16 - 266 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 519829 rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -795*m**3 - 2375*m**2 + 30*m = 0.\nAnswer: -3, 0, 2\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -10122120011?\nAnswer: 10122112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 124\/(-102) + (-32)\/(-24). Let l = 125 + -127. Which is the third biggest value? (a) 0.2 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o + 60. Let z(f) = -8*f + 31. Calculate 6*l(d) - 11*z(d).\nAnswer: -2*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90291 + -7713. Let u be d*(-3)\/(-21) + (-32)\/(-56). What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 169*l - 3240. Calculate y(54).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/3*(-30)\/(-2). Let d be ((-9)\/(-3) + -4)*-48. Suppose 5*c + n = d, -2*c - 5*n - m = -5*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*x**3 + 178*x**3 - 36*x**3 - 452*x**2 + 452*x**2.\nAnswer: 649*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6*f + 5*f + 48, 3*f + 6 = 0. Let y = 12 + o. Let q(i) = i**2 + 10*i + 11. Let k be q(-9). Solve -2*n - k*z + z = 0, y*z = 3*n + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 5, -8.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1003730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16872.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2513830589 minus -63058.6?\nAnswer: -2513767530.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3201?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255658 + 122258. What is j rounded to the nearest one thousand?\nAnswer: -133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 55 + 385 - 102)*(-q + 2 - 2).\nAnswer: -559*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 526918 divided by -75274\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23628*w + 2525170 = -1670*w for w.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -6. Let u = -16041 + 224677\/14. Calculate the common denominator of 2 + ((-63)\/10 - r) and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2234*k**2 + 16*k - 59. What are the prime factors of o(5)?\nAnswer: 55871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**5\/5 + 17*r**4 - 698*r**3\/3 + 1020*r**2 - 1800*r - 33. Solve l(z) = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4)*c\/(c**(-2\/33)\/c)*c**(1\/3)\/c**0)**(-39) assuming c is positive.\nAnswer: c**(-2821\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21691563, 21691556, 21691543, 21691524?\n\"Answer: -3*c**2 + 2*c + 21691564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.6 + -16. Let s = -152.5 - -152. Which is the nearest to 2\/9? (a) t (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200430 = 19*d - 200620 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1976 and -96546.\nAnswer: 190774896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 16371?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 12) in base 7?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28*(-3 + -1 + 27\/6). Solve -5*x - n = -12*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t + 2. List the prime factors of 208 - (-4)\/8*t.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**2\/2 + 4*g - 1. Suppose 0 = -64*k + 66*k + 8. Let v be p(k). Solve -2 = -j - y, 0*j - 5*y + v = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = 11. Let d be (0 + -1)*s\/(-2 - 6). Let b be (4 + -10 - d) + 5. Put b, 2, -2 in decreasing order.\nAnswer: 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o + 28 - 2\/3*o**3 + 0*o**2 - 1\/10*o**4. Suppose z(n) = 0. Calculate n.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.0135726 minutes in weeks?\nAnswer: 0.00476325125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrfrwf. Give prob of picking 3 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*x**2 + 3*d**2 - 51*d*x**2 - 2*x**2 + 6 with respect to x.\nAnswer: -2*d**2*x - 102*d*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 21*l + 171. Suppose 60 = 6*g - g. Let q = g + 26. What is the highest common divisor of q and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -184, -1386, -4652, -11014, -21504, -37154?\n\"Answer: -172*d**3 + 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 6) + -20 + 6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9674208*j**3 - 102*j - 52812.\nAnswer: 58045248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -2, -0.156, -0.2, -1 in ascending order.\nAnswer: -4, -2, -3\/2, -1, -0.2, -0.156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 1, s: 2, d: 1, t: 1}. Give prob of picking 1 t and 1 s.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*a - 6*r + 4*r, 5*a + r = 19. Suppose -2 = -n, -x - 4*x = n - 2. Solve 3*m - 5*s + 22 = x, -3*m - a*s + 14 = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2588*w - 98899. Calculate i(38).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 267 (b) -1\/5 (c) 2.9 (d) -2\/45 (e) 1 (f) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 30*b - 3. Let k(f) = -15*f + 2. Let w(l) = 5*k(l) + 3*m(l). Let x = 3 - -3. What is the remainder when w(1) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*r - 29*r - 3 - 120*r + 1 + (-2 - 3 + 3)*(-2*r - 4*r + 4*r) as h*r + t and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -4 in decreasing order.\nAnswer: -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11900190?\nAnswer: 2, 3, 5, 89, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p - 0*p. Suppose -p = -3*k + 2*k. Let w be 15\/k*1\/(-3). Does w = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-42))\/((-5)\/70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -445444\/5 - -89089. Factor m*t**3 + 3\/5*t**2 + 0 + 0*t.\nAnswer: t**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2842, 2839, 2836, 2833, 2830?\nAnswer: 2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + 2 + (-412323)\/19372 + 133\/7.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*68\/612.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 387366 and 0.2.\nAnswer: 387366.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 7*z - 2 + 25*z + 15*z.\nAnswer: 21*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10884 + 10883. Put n, -1.3, -2\/137 in decreasing order.\nAnswer: -2\/137, n, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 1. Let h be f(-3). Let d be 6*3\/12*30. Calculate the greatest common factor of d and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/3 - 7*b. Let p(y) = 22*y**2. Determine z(p(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 5) to base 2.\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 169 - (-6 - -11). Suppose -3*u + 125 - 26 = 0. Calculate the greatest common divisor of c and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u + 12 = 0. Suppose u*w - 4*w - 174 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673262359 to the power of 1\/2, to the nearest integer?\nAnswer: 25947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 390 = 36*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 20, -2, -20, 3 in decreasing order.\nAnswer: 20, 3, -2, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 2}. What is prob of sequence blb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, 0.146, -8\/5.\nAnswer: -8\/5, -0.5, 0.146, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 + l + 1. Let w(d) = -8*d**3 - 4*d**2 - 11*d - 3. Determine 6*g(i) + w(i).\nAnswer: -2*i**3 + 2*i**2 - 5*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let d = 32 + f. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22805 - -306.\nAnswer: 23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 9, b: 2, y: 7}. What is prob of picking 3 y and 1 k?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + (-11 - (-12 - (-5 - -6)) - -3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 620 - 586. Solve 2*r = -32 + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-7 - -13) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 15*q + 2210. What is the remainder when ((-25170)\/q + 2\/(-17))\/2 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1689 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7899 + 9848. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owyy when four letters picked without replacement from {w: 4, y: 5, o: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 164. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8591*h**3 - 2*h**2 + 302*h + 6.\nAnswer: 51546*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a + 23. Let r(x) = -4*x - 8. Let h(s) = 6*k(s) + 17*r(s). Let c be h(1). Solve 6*n - 3*n + 3 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112545.3*0.3.\nAnswer: -33763.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242139830*j**3 + 391255713*j**2 wrt j?\nAnswer: -1452838980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/64*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 54.1. Let z = h - 16. Let y be 3\/(-2)*16\/(-132). Which is the third smallest value? (a) z (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -95.4 and 0.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -10*h + 90*h + 952. Let l = -0.2 - -0.3. What is the nearest to 1 in h, -13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 3. Let r(f) = -4*f + 6. Let g(t) = 5*j(t) - 3*r(t). Let u(a) = -a**2 - 5*a + 6. Let n be u(-5). Calculate g(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let a(u) = 15*u + 33. Let v(d) = 2*a(d) - 33*n(d). Let l(c) be the second derivative of -c**4\/12 + 19*c. Calculate l(v(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13. What is the closest to 1 in 34, 1\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away -524.6?\nAnswer: 523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 10*x - 16. Let w be k(11). Let s be 4\/12*9\/1. Let u(t) = 2 + s*t + 0 - 4*t. Give u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.1. Suppose -7*j + 0*j = 0. Suppose j = 4*z - 8*z - 4. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4268 and 35696.\nAnswer: 392656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s + 6*s + s)*(-5 + 4 - 6)*(-3 + 0 + 1)*((0*s + 0*s - 2*s)*(1 + 1 + 0) - 5*s + 3*s + 0*s + 3*s - 5*s + s) as w*s + p*s**2 + l and give p.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + -3?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/12 - -3)*3. Differentiate -5*c**2 - c**3 - 3 + 2*c**3 + f*c**2 with respect to c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 6002.27.\nAnswer: 6001.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 7*v - 44. What is h(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70a62 - -19?\nAnswer: -70a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.035, 0.2 in increasing order.\nAnswer: -0.035, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900425445?\nAnswer: 5, 173, 3353093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, 4\/3, 0.21, -8, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000060492 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from {j: 5, z: 2, i: 7, r: 1, q: 1, c: 1}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 93.08712?\nAnswer: -93.08712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 304, 520, 834?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940 (base 11) in base 15?\nAnswer: 11d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/16 (b) -0.3 (c) 0.01 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*j + 0 = -5, -j - 5 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*i + 4*k = 111*i - 42, 2*k = 2*i + 18 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 217\/(-14)*(-161)\/69*(-36)\/210?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -1. Suppose v + 1 = -5*f. Suppose -c = -1 - 0. Sort -5, c, f in descending order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17557 and 2715.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 19 = -3*k + 4*k, 0 = s + 5*k + 17. Suppose -1 = -4*q - 13. Sort s, 2, q in increasing order.\nAnswer: q, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 24*v**2 - 3*v + 2. Is c(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -4\/7 (c) 1335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = a, -8*a + 5*a = -5*w + 20. What is the second smallest value in -4, -22, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 16*h - 8 + (0 + 3 - 5)*(2*h + 0*h + 0*h) - h - 2*h + 6*h + 2*h + 4 - 4.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 times -0.16463?\nAnswer: -0.674983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80))**2 - sqrt(20)\/(sqrt(100) - sqrt(4)).\nAnswer: -sqrt(5)\/4 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.705 - -0.315. Is v > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-189) - (-1415)\/9. Let o = s + 493. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = -4*m + 495. Suppose 746 = 3*t + m*c, 2*t + 5*c - 502 = -0*c. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t - 14576 + 14968 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/6335 and 14\/18971515.\nAnswer: 132800605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23*h + 24*h - 3*h. Let g(o) = 8*o - 4. What is g(n(j))?\nAnswer: -16*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x. Let d be z(5). Let o(g) = 0*g + g + 0*g - 5 + 22000*g**2. Let n be o(d). Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let j be m(-6). What is the highest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 2, a: 2, f: 1, k: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3 + 12273006*n**2 - 8*n - 49092024 = 0.\nAnswer: -6136503, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 747. List the prime factors of v.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25\/7 of a week?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22321?\nAnswer: 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 325333 - 0?\nAnswer: 325333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 197, 0.4, -2\/15, -2, 8300\/31?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a + 236720 = 3*u, -4*u - a + 315595 = 0. Round u to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from vzzmbuzvbmbbvzvm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + q + 12 + 2)*(-2*q - 4*q - q).\nAnswer: -7*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let i = 3.845 + 6.155. Which is the second biggest value? (a) 3 (b) -2\/5 (c) l (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22388*o - 21142*o - 3395 - 27755 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 2. Let g(f) = -5*f - 25. Let m be g(-9). Suppose -20*y = -15*y + m. Let s be (-1)\/((-18)\/y) + (-300)\/(-135). Determine l(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(6\/13)*z)\/z))**(-2\/5) assuming z is positive.\nAnswer: z**(-14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 37, 57, 77, 97?\n\"Answer: 20*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1.2, 2, 2\/7, -32, 1.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7233 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let 0*c**3 + 0*c**2 + b*c**2 + 2*c**3 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/1 + 8 + -4. Let d be ((-2)\/(-4)*l)\/(-1). Solve 5*v + 20 = d, -i = v - 0*v + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 6. Let w(i) = -i**2 + 2*i + 4. Suppose -3*d + 4 = -8. Let q be w(d). Let v(o) = 2*o + 7. Give q*v(c) - 5*g(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - -989\/9. Find the common denominator of -39\/2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 4 + 3 - 5*c. Let y(f) be the third derivative of -f**4\/8 - f**3\/6 - f**2. Calculate -7*s(j) + 5*y(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 13*c - 616. What is the derivative of 13*z - c - 26*z + 14*z + 17 wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = 0, -m + 1270 = 6*c - 9*c. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -67*t**7\/14 - t**4\/4 + 618*t**3 - t**2\/2 - 38*t + 6. Find the second derivative of b(g) wrt g.\nAnswer: -4020*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 9*z**2 + 149*z + 2756. What is the hundreds digit of t(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*a - 33*a = 1512 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.69778 to 1 dp.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 164\/5 + (-15)\/(450\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2219 = -20*g - 2134. Put 4, 3, -180, 0, g in decreasing order.\nAnswer: g, 4, 3, 0, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/i**(-2\/5))\/(i**(-3\/2)\/i*i*i**(1\/21)*i) assuming i is positive.\nAnswer: i**(-451\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 25*z + 71. Let n = 886 - 900. Let t be r(n). Is -0.1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*i + 16 = 0, 27 - 2 = 5*i. Let p(v) = 45*v**2. Calculate the remainder when p(r) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from {v: 2, z: 1, i: 4, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24134248907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1252? (a) -0.4 (b) -3 (c) -50 (d) -0.2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 - 3*t + 4. Calculate the remainder when 41 is divided by v(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1038)\/(-10) - (-1244754)\/49395.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*k - 15 = 0, 3*y - 3 = -5*k + 6*k. Solve 10*g - 6*m = 15*g - 44, -g + 2*m - 4 = y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:21 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11673.000004082 + -11673. What is b rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 2*w + 1. Let l = -19 + 15. Let j(p) = -5*p - 17. Let m be j(l). Determine c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*i = -276*i + 213*i - 10656 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/4)\/(((-15)\/(-6))\/(-5)). What is the highest common divisor of 63 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -15. Let a(q) = 2*q**2 - 17*q - 6. Let v be a(c). Suppose -p - 35 = -v*l, 18 + 29 = 3*l + 2*p. Solve b - 4*b = -w - 17, -5*w - l = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -241, -548, -967, -1492, -2117, -2836, -3643?\nAnswer: -4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 79*x**3 - 315*x**2 + 176*x - 735. Give p(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/10 - (-4)\/(-8). Let r = 50.783 - -0.217. Let z = -52 + r. Put 0, d, z in decreasing order.\nAnswer: 0, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/7 (b) -66 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7411529*k**2*m + 2*k**2 + 1277624*k with respect to m.\nAnswer: 7411529*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 22, -0.44, -13.692, -0.3 in descending order.\nAnswer: 22, -0.1, -0.3, -0.44, -13.692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020101002 - 1201000?\nAnswer: -10022002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 900*t**3 + t**2 + 9*t - 10. Let a be h(-10). Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1\/2, 304.6514 in decreasing order.\nAnswer: 304.6514, 3\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -9 (b) 23 (c) 0 (d) -24\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 830 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 38*o**3 + 4*o**2 - 8*o - 79. Let z(h) = -114*h**3 - 13*h**2 + 26*h + 230. Give 13*x(d) + 4*z(d).\nAnswer: 38*d**3 - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 2*f + 6. Let w(v) be the second derivative of v**4\/4 - 5*v**3\/6 + 13*v**2\/2 - 17*v. Let g(t) = 5*n(t) - 2*w(t). Find r, given that g(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.01 + 2.71. Let i be (4\/(-6))\/(0 - -2). Let z = 31\/2 - 16. What is the nearest to 1 in i, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**2 - 39*d**2 - 3 + 17*d**2 + 4*d**2 - 39*d**3 as j*d**3 + h + r*d + v*d**2 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61080 or -61122?\nAnswer: -61080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 19*v - 21*v. Let x be 30\/9*(-3 - v\/(-20)). Is 13 a factor of x\/(3\/(156\/(-8)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 104. Let b = h + 44. Let l(r) = -5*r + r**2 + 4*r + b*r - 10. What is l(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 395 = 500. Sort -1, i, 6.\nAnswer: -1, 6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -50*o**2 - 64*o + 89. What is the first derivative of l(h) wrt h?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5540 + 5370 = -17*b. Let t(h) be the first derivative of -8\/3*h**3 - 14*h**2 + b - 12*h. Let t(o) = 0. Calculate o.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33666 divided by 186\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/4)\/(-2))\/(((-3246)\/10820)\/(3\/5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 291*d - 12667. What is g(-244)?\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 n when four letters picked without replacement from {t: 1, x: 1, n: 2, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*p + 88, -3*b + 136 = -3*p + b. Let s = -7 - p. Calculate the greatest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974942714 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) -38 (d) 6 (e) 8\/3 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477373 is divided by 2506.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 34*c - 19*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-6)\/4 + 0). Suppose -105 = n - 6*n. Suppose -h*z + 2*z + n = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/12 + k**5\/20 - k**3\/6 + k**2. Is v(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37*a**2 - 1. Let l(t) = 2*t**3 - 25*t**2 + 12*t + 1. Let u be l(12). Calculate the remainder when 179 is divided by n(u).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -27 + 13 + 25 + -24 + -18?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 - 30*k**2 - 23*k**2 + (3 - 3 - 2*k)*(-k + 0*k - k) + 2*k**2 + 0*k + 0*k + 3*k**2 + 0*k**2 - k**2 as w*k + t + m*k**2 and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p, t = p - 5*p + 1120. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/(32 - (-27 + 77\/66*54)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 20*t**2 + 3*t - 4. Let g be a(-3). Suppose 141 + g = 4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/2)*w*w*w**(-1\/7) assuming w is positive.\nAnswer: w**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/4 - 15*v - 3. Let r(f) = f**2 - 58. Determine a(r(u)).\nAnswer: 3*u**4 - 348*u**2 + 10092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(200) + 3) + -2*sqrt(200)*3 + sqrt(200) + (sqrt(200) + 3*(sqrt(200)*4 + sqrt(200)) - (-2 + 2 + sqrt(200))))**2.\nAnswer: 3360*sqrt(2) + 39344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2194 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8742 - 3*v**2 + 17*v**2 + 9*v**2 + 8777 - 6*v**2 - 2*v as l*v**2 + g*v + t and give t.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13135 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 463932 and 15000468.\nAnswer: 45001404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Let z(o) = -1 - 1 - o + 7*o**2 - k + o**3. What is the units digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 11*c**2 - 44*c + 2. Let l be y(-3). Is (5661 - (-11 + l)) + 7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 4. Let d be b(0). Determine j, given that 3*j**2 + 5*j**3 + 15*j**4 - 5*j**3 - 14*j**d - 4*j - 4 + 4*j**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from utmtsmaasgummusmmamt?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 - (-1 - -5)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfnbebebbc. Give prob of picking 1 c and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9. Let v(l) = l - 1. Let z(d) = i(d) - 6*v(d). Let p be z(3). Let b = 27 + p. What is the highest common divisor of b and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73633241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 25, 1\/2, 7\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1588.3581 months?\nAnswer: 0.132363175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52996520 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6*6\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12022883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 48*c**2 + 7467*c - 10829. What is g(-157)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 60 = -2*v - 2*h, 4*v - 3*h - 140 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y - 82. Calculate k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + 67. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - 3. What is the common denominator of 74\/9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122012 + -10?\nAnswer: -11122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 + 0*l**2 - 3*l**2 + (2*l + 2*l - 5*l)*(-1 + 1 + 2*l) + (-2*l - l + 2*l)*(-5*l - 6 - 2*l + 4*l).\nAnswer: 4*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 12*m = -6. Is m greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 367453077330.4.\nAnswer: 367453077330.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5101 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.24 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/5040 - w**6\/1440 - w**5\/120 - w**4\/6 - 4*w**2. Let l(s) be the second derivative of p(s). Factor l(b).\nAnswer: (b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23659 - -23658.7. Which is the fourth biggest value? (a) -8 (b) 8\/15 (c) 1 (d) m (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(1 - 1 + 120*a**2 + 2440*a**2)*(25 - 11*a - 25).\nAnswer: 28160*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (2 + 2 + sqrt(176))**2 + -5).\nAnswer: 96*sqrt(11) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 7*s**5\/3 - 3992*s**4\/3 - 6332*s**3 + 11962*s**2\/3 + 64909*s\/3 + 12650 = 0.\nAnswer: -33\/7, -1, 2, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y = -69*y + 370884. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (390\/520)\/(3\/4)*2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 58409*r - 583113. Give v(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*p - p + 38 = 0, 5*x - 2*p = 59. Suppose -96*n = 66*n - 45*n - 936. Suppose -2*j + 5*j + n = 4*u, -x = 3*j - 5*u. Solve 0*t = j*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 - 104*j - 66. Let f be r(-34). Let q(s) = s - 2. Let y(l) = -9*l + 21. Give f*y(z) + 21*q(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) - (4*sqrt(132) - sqrt(132))))\/(sqrt(588)*2).\nAnswer: -5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -26, 5, -1, 56, -0.3 in increasing order.\nAnswer: -26, -1, -0.3, 0.4, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooppopopoooop. Give prob of picking 1 p and 2 o.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 0.0586?\nAnswer: 0.002344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 96. Solve y = 3*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 - -1002?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14543957.897932 take away 0.03?\nAnswer: -14543957.927932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*w = t + 2, 8 = 2*w. Put t, 1, -2 in decreasing order.\nAnswer: t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-9))\/(2422\/6920)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 5410?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-318)\/4*52\/117*-15. Let r = w + -66. Suppose 9*x - r = 5*x. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*u = 41, -5*f - 54*u = -49*u + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xssx when four letters picked without replacement from ddxsssixs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 2*n**2 - 3*n + 4. Let m be q(-3). Let v = m + 28. Let x be 558\/24 - (-1)\/v. What is the greatest common factor of x and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 718?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -609\/2 greater than or equal to -304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 9*s + 4*s + 38)*(0 + 2 - 3 + (-1 - 2 + 1)*(3 - 1 + 0)) + (-3 - 2 + 4)*(1 - 1 + 2*s).\nAnswer: -67*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8708352 a multiple of 2176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 12 = -700 - 92 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 10, 17, 24?\n\"Answer: 7*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1056)\/(-64)*(-12)\/(-44)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 95 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0.1. Let k = o + 0.3. Let c = -8772.3 + 8772. Sort 3, c, k in ascending order.\nAnswer: c, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*k*r**2 - 8*b*k*r - 2*b*r**2 - 2*k*r**2 - 34*k + 2*r**2 with respect to b.\nAnswer: -k*r**2 - 8*k*r - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -26*g. Let o(f) be the third derivative of -f**4\/24 - 2*f**2 + 42. Give o(v(w)).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24826*b**2*d*g - 5752*b**2*d - 3*b**2 + 1145*d*g - 819*d wrt g.\nAnswer: 24826*b**2*d + 1145*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.758 + 0.192. Let n = g + -1.45. Sort -21, n, 0.1 in ascending order.\nAnswer: -21, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.61 - 847742?\nAnswer: -847785.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.2 + 59. Round w to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 - (-92)\/7774*-182?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-16)\/(-2)*1\/2. Does 27 divide 92 - ((-1 - i) + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 + 2223420376*y - 308974885525748836 = 0. Calculate y.\nAnswer: 277927547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7319?\nAnswer: 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5047 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107869\/5604 + 2\/1401. Calculate the common denominator of c and 30\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 7*h**2 + 5*h + 32. What is o(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 2. Let c be b(-1). Suppose 3*p = -3*d - 18, 3*d + 2*p + 10 = -4. Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*((sqrt(200) + -4 + sqrt(200))*-1 - sqrt(200) - sqrt(200)*2*2)**2 + -4) + 0.\nAnswer: -3360*sqrt(2) + 58904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259356812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -202011212303 (base 4) to base 11\nAnswer: -5053709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62509333*q**2 + 176*q - 92209?\nAnswer: 125018666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2049 = 17*k + 36*k + 949 - 1020 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + 5*f**4 - 3*f**4)*(0 - 1 + 3)*(-5 + 6 + 5).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -14898?\nAnswer: -14895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**2 + 2*r + 15*r**2 - 2*r - 30*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -25. Solve -2 = 2*m + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -29*z + 142 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + g**2 + 2*g - 6 + 9. Let u(m) = -6*m**2 - 8*m - 2. Let j(f) = -f - 2. Let l(s) = 6*j(s) + u(s). Determine -14*k(c) - 3*l(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1811, 1772, 1733, 1694, 1655, 1616?\n\"Answer: -39*z + 1850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + u)*(2 - 2 + 2 + (0 + 1 - 3)*(10 + 2 - 6) + 1 - 3 + 3)*(2*u + 3*u - 132 + 132).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - 15b157?\nAnswer: -15b123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 64 - 86*f - 60 - 107 + 110*f + 299.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 28516*x = -28518*x + 3, 0 = 4*j + 4*x - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 19 = -3. Suppose 0 = -m - 3*r - 9, -2*m - 5*r - 14 + 0 = 0. Solve m = t*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -365276*y**4 + 1768*y**2 + 2*y + 6?\nAnswer: -8766624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4) + 0)*-4. Suppose -2*s - 29 = -i*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 1105, 1296?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 114144012?\nAnswer: 456576048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*j - 7*j - 3*j. Let t(r) = -29*r - 5. Let z(f) = -15*f - 2. Determine j*z(s) - 2*t(s).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - (-684)\/42. Calculate the greatest common factor of g and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1*(7 + -4 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h - 2*l - 2276747, 6830243 = 3*h - 4*l. Let c = h - 3637521. Let n = c - -680772. What is n rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - 33*(-3)\/(-180).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 261*b**3 + 259*b**2 - 67*b - 65. Give h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -13*o + 1. Let u(h) be the second derivative of 19*h**3\/6 - h**2\/2 + 2952*h. Give -8*j(w) - 5*u(w).\nAnswer: 9*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 6\/(-5)*5\/(-3). What is the highest common divisor of g and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 762986*n + 3051936. Determine q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25533 - -25532.9999942135. What is m rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 0 + -1*(sqrt(19) + 0))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 + 226 = 3*a. Solve 3*q = -5*i + 2*q + 17, -a*q - 23 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-8)*(-3)\/((-21)\/7)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + b + 39, -2 = 5*v - 4*b - 59. Let z be 28\/6 - (-5 + v). Factor -2\/3*s + 0*s**2 + z*s**3 + 0.\nAnswer: 2*s*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and 41\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137847, -275693, -413537, -551379?\nAnswer: -689219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1334203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = 2. Let k = 29 - 5. Let b = 25 - k. Put b, d, 8 in decreasing order.\nAnswer: 8, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + u - 22 = -3*u, -2*u = -6. Let a be 651 - (-2 + 4 + 4). Suppose -5*d + a = -5*s, -v*d + d - 5*s = -141. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -956*x**4 - 13*x**3 - 3295*x**2 - 4006*x - 9542 wrt x?\nAnswer: -11472*x**2 - 78*x - 6590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13427 + -13388. What is the remainder when 4478 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5017890 divided by 1003578\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4))**(1\/58)*b**(2\/11)\/(b*(b\/(b*b**(1\/9)*b))\/b*b))**(-2\/113))**(2\/97) assuming b is positive.\nAnswer: b**(-6827\/62938062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312\/11, 1\/27, 68.\nAnswer: 1\/27, 312\/11, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 14740152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 2. Suppose 5*q = 8*q + 18. Calculate u(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 211*f - 228*f + 147 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)\/u)**(5\/19)\/((u*u**(-1\/2))\/(u*u\/u**7)) assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*-1*3\/(-7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7)\/y)\/y*(y*y**(-2\/11)*y)\/y)\/(y**(-2\/5))**(-4\/7) assuming y is positive.\nAnswer: y**(-268\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2005635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 62*d - 163*d + 54*d + 45*d. Let m(k) be the second derivative of k**7\/210 + k**4\/6 - 4*k. Let x(n) be the third derivative of m(n). Give x(y(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 53*z + 72. Calculate i(-14).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -48 - 15 - 19) + (30 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + -1 + (-9)\/(-6). Let u(q) be the first derivative of -1 - 5*q + 1\/2*q**b. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 22173?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 2*r + 2. Let j be (3 + 0)\/(54\/(-36)). Let m(f) = f**2 - f - 1. What is j*m(a) - u(a)?\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:54 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 771.752 - 759. Round q to one dp.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:26 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + 0.3. Let w(j) = -28*j**2 - 335*j + 12. Let v be w(-12). Which is the nearest to v? (a) x (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456119432?\nAnswer: 2, 103, 553543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2123 + 819. List the prime factors of j.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 19. Which is smaller: 21 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 60*w**3 + 2*w**2 + 60*w**3 - 120*w**3 - 16*w**4 to d + t*w**2 + z*w**3 + j*w**4 + v*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**3 - 6*m - 1. Let s(d) = -10*d + 10*d**3 + 3*d + d**2 - 16*d**3 - 1. Let l(r) = -3*s(r) + 4*y(r). Determine l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + (-50)\/(-6))\/(1\/(-3201))?\nAnswer: 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6984 and 151695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82444, -164894, -247344?\n\"Answer: -82450*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312723 is divided by 13030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164 = 3*f - 2*f. Let z(a) = a**3 - 15*a**2 + 26*a. Let i be z(13). Suppose 0 = -4*d - 4*r + f, -d + i*d = -r - 295. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*x - 3, 13 = -5*r - 2. Let u(j) = -2*j + 4. Let w be u(x). Which is the smallest value? (a) w (b) 8 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1300) + -1)**2 - ((sqrt(13) + (2*sqrt(13))**2 + sqrt(13) - sqrt(13)) + -5 + -4)) + 5.\nAnswer: -5242 + 79*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 - 34*b**3 + 10*b**2)*(0*b + 0*b - b)*(39*b - 353 + 353).\nAnswer: 1326*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16955 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 y be (4\/30)\/(13\/(-39)). Let d = 1 - -4. Suppose -3*v + 9 = -4*w, -4*v + 2*w + 8 = -4. Put v, d, y in descending order.\nAnswer: d, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/(-5))\/(13\/325*10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -4 (c) -2\/8781 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*1 + sqrt(1408) - sqrt(1408))\/(-6*sqrt(44)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -472*n**2 - 16 + 0 + 5 + 10 in the form z*n + t + p*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 32*z - 42. Let h be s(-27). Let v = -81 + h. Calculate the greatest common factor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 647*u**3 + 0*u**2 - 7 - 1860*u - 2*u**2 + 1870*u. What is the hundreds digit of p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18540 and 30?\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 0*x**2 + 0*x**5 - 13*x + 5\/4*x**4 + 5\/3*x**3 - 1\/6*x**6 + 0. Solve l(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(2\/5)*m)\/m)*m*m)**(-7\/6)*(m\/(m*m*m\/(m**(-5)\/m))*m)\/m**(1\/5) assuming m is positive.\nAnswer: m**(-307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = -4*f + f, 0 = 2*l - 3*f + 2. Let v(w) = l + 0*w - 2*w + 5*w. Let t = 40 - 37. Give v(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9195 is divided by 200.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/24*162\/(-459).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2465 (base 10) to base 13\nAnswer: -1178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5)*5\/2. Let o be z\/(-1)*(-3)\/(-3). Suppose 0 = -4*q + 5*i + 32, o*q - 4 = -2*q - 2*i. Solve -c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 48050, 257 in ascending order.\nAnswer: -5, 257, 48050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5)*i)\/i)\/(i*i**9\/i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 181, 199, 707, 1699, 3169, 5111, 7519, 10387?\n\"Answer: -a**3 + 251*a**2 - 728*a + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -40\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {a: 4, s: 2, i: 2, k: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52728 - 27017. What is g rounded to the nearest 100?\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/5)*h*h)\/h*h)**(2\/15) assuming h is positive.\nAnswer: h**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*o + 14 = 0, 45627*c = 45629*c + 2*o - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q**2 + 2*q - 4. Let c be b(4). Differentiate 2 + 0 - c + 5 - 4*m**2 wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13589645 and 0.1.\nAnswer: -13589644.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/6 + n**2\/2 - 2*n. Let o be u(-3). Let q = 96 - 68. What is the greatest common factor of o and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 11 - (-3 + 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:54 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -1 + 0*q + 0*q**2 - 1\/3*q**3 - 3\/4*q**4. Find the third derivative of f(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - h**2 + 0*h**2. Let i(c) = -3*c - 2. Let u be i(-2). Let r(n) = u*n**2 - 5*n**2 + 3*n**2. What is s(r(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.52 + 0.32. Let u = -0.2 - c. Let y = 0.44 + -0.4. What is the closest to y in -3, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1484*g**3 + 5*g**2 + 13*g + 2?\nAnswer: 8904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -21, -2, -8 in decreasing order.\nAnswer: 0, -1, -2, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -309132 divided by 3?\nAnswer: -103044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.206 - 0.2. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 68*h**2 - 1533 + 1533.\nAnswer: -68*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21320 and 8?\nAnswer: 21320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1180, -1, -5, 3 in decreasing order.\nAnswer: 1180, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 21, 1, -20, 12 in decreasing order.\nAnswer: 38, 21, 12, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -208*f**2 + 464*f**2 - 195*f**2. Let u(d) = -d. Give g(u(c)).\nAnswer: 61*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189 - -57.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288941.\nAnswer: 29, 78929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {d: 6, k: 3, t: 1, h: 2, c: 1, s: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/4215 + 37921\/29505. Solve 3\/7*f**3 + d*f**2 - 3\/7*f - 9\/7 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177.6 - -24.4. Let t = -201.99478 + y. What is t rounded to four decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 4*c**2 + c + (-3 + 1 + 3)*(5*c**2 - 2*c**2 + 2*c**2) + (4*c - 3*c + c)*(-c + 6 - 6).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -0.5, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)*y*y**(-2)*y)\/(y**2*y**(1\/10)) assuming y is positive.\nAnswer: y**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3371.412 + -3379. Let q = v + -0.592. Let p = q - -0.18. Which is the second biggest value? (a) p (b) -2\/13 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(16)\/sqrt(2)))\/((sqrt(2) - -2*sqrt(2))*-1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:54 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqjqjjjj. Give prob of sequence jjqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = c + 4*c + 3*b, 3*c - 14 = 4*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 1788399422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/23, 57, 0.2, 1 in ascending order.\nAnswer: -5\/23, 0, 0.2, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23846467 is divided by 1576?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 47 + 10 = 0. Is t <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 968.7 + -969. Let v be -1*2 + 11\/6. Which is the nearest to 1? (a) v (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -257.6 from -701.\nAnswer: -443.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30838 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 34*x - 5. Let f be p(14). Let r = -89 - f. Suppose 5*a - 89 - 176 = r. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {b: 2, z: 1, p: 1, d: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 613, -4, -26, 0, 5, -7.\nAnswer: -26, -7, -4, 0, 5, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13367 (base 10) to base 15\nAnswer: 3e62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*o**2*t - 58273*o**2 + 7*o - t + 22315 wrt o.\nAnswer: -744*t - 116546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3518372 by -879593.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 6*w - 54 = 0, 0 = 5*u - 104*w + 101*w - 27 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 1. Suppose -a*p + n = -0*n - 3, 5*p - 13 = -n. Let l = 46 + -42. Solve -p = 3*y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25130.89 and 0.1485.\nAnswer: -25130.7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1177 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0277 and -62?\nAnswer: 1.7174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 1. Let h = -14 + 15. Let s(v) = -v + 1. Calculate h*p(i) - 3*s(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k - 211. Let v be s(-15). Which is the closest to v? (a) 1\/3 (b) 5 (c) -0.4 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*n = -305*n - 1534973. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:29 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d - 3. Let n be l(-3). Suppose -4*k - 3*h = 13, 4*k - 175 = 4*h - 139. Sort k, n, -4, -5 in descending order.\nAnswer: n, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 10, n: 5, k: 1}. What is prob of sequence nskk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:35 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 23*y**2 - 9*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 0.906. Let o = 0.00716 + a. What is o rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + 13*u**2 - 5*u - 5. Let l(f) = -5*f**3 - 13*f**2 + 4*f + 4. Determine -4*g(c) - 5*l(c).\nAnswer: 5*c**3 + 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-47120)\/245272) - 1\/(-19)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuvbuvu. What is prob of sequence ubu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. What is the greatest common factor of j and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3134*o**2 - 3293*o + 6396. Find the first derivative of v(d) wrt d.\nAnswer: -6268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfsrftbzt. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4171 - 7.5639. Let p = f + -0.019. Sort p, 2, -0.3, 3.\nAnswer: p, -0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 19*o = -27. Solve o*v + 4*q - 12 = 0, -4*q = -v - 2*q + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*o = -13, -o + 1 = 2*m + 10. Let d = m - -13. Find the common denominator of 0 + -1 - (-303)\/d and -29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 5*f + 12. Let i be b(5). What is the greatest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-161))\/(110\/(-21505))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**2\/2 - 7550. Let g(o) = o - 1. Let t(u) = -6*u + 8. Let i = 3 - 4. Let d(n) = i*t(n) - 8*g(n). Give d(s(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (24 - -1)*60\/100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 70?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -2*v, 5*n - 14 = 3*v + 1. Solve -3*q + 4*w + 15 = 0, w = q + n*w - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -819658*f**2 - 1669169*f.\nAnswer: -1639316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/6 + 2*b**2 - 4*b + 7. Let z(v) be the first derivative of s(v). What is z(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (32 - -3))\/((-360)\/(-330)) + (-3)\/(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9155*p - 1 + 3576*p - 554*p - 57*p.\nAnswer: 12120*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y + 0*y + y)*(y**4 - 6*y**4 + y**4).\nAnswer: -52*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 362813810 divided by -13385\nAnswer: -27106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c - 78 + 4148 - 1547*c wrt c?\nAnswer: -1551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -3.99022399\nAnswer: 18.99022399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11745 + 17102. What is the remainder when v is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(w**4 - 2*w**4 - 3*w + 2*w).\nAnswer: -3*w**4 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c. Let w(p) = 9*p - 7. Let t(g) = -3*g + 2. Let y(l) = l + 1. Let m be y(-3). Let u(o) = m*w(o) - 7*t(o). Give u(v(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 21. Let g(d) = -8*d - 63. Let c(k) = -2*g(k) + 7*r(k). Let y(h) = 6*h + 20. Let t(q) = -4*c(q) - 3*y(q). Differentiate t(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 18, v: 1}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003726 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 23395177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27432102 or -27432101?\nAnswer: -27432102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -737?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*k + x, -3*k + 4*x = k - 4. Let n be -2 + 5 + 3\/k. Let q(r) = n + r**2 - r + r - 3*r. What is q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4.17.\nAnswer: 20.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377810941.\nAnswer: 17, 41, 542053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (9 - 1)) + (-6 - 8 - (7 - -1))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360168 is divided by 265.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v + 2. Let u(f) = 5 + f**2 + 3 - v - 5*f**3 + 2*f - 7. What is the tens digit of u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-2\/73))**3)**(12\/7))**(-2))**(-43) assuming l is positive.\nAnswer: l**(-6192\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4 - 115*b**3*z - 2*b**3 - 8*b**2*z - 2*b**2 + 26*b*z - 2*b wrt b.\nAnswer: 24*b - 690*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) - (sqrt(490) + (sqrt(490) - 4*1*sqrt(490)))) + sqrt(490))\/((-1*sqrt(12))\/sqrt(6) - 3*sqrt(2)*1).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:54 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -11. Let j = 11 - o. Which is the nearest to 1? (a) -1\/3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26\/43 - -1\/215. Which is the third biggest value? (a) 5 (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 52498*c.\nAnswer: c*(c - 52498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 4. Let c(s) = -s. Let r(f) = 12*c(f) - 3*l(f). Suppose 0 = -4*b + x - 23, -2*b + 2*x = b + 21. What are the prime factors of r(b)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 49, -1\/31, 1\/7, -3?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44876 and 34520?\nAnswer: 448760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 19*b**2 + 79*b - 747. Let y be f(17). Solve 3*o = -3*r + 24, -5*r = 22*o - y*o - 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 173, 350, 527, 704, 881?\n\"Answer: 177*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 119437*w - 238873*w + 12479 + 119438*w in the form n*w + c and give c.\nAnswer: 12479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1291764 divided by 215294.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:12 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152511017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1.4, -23?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 - 31 - 30 - 18*t + 17*t + 485*t**2 - 28 to the form r + w*t + o*t**2 and give o.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdd when three letters picked without replacement from dbdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2920, -23342, -78778, -186736, -364724, -630250?\n\"Answer: -2918*i**3 + i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 - 3 = 0. Put 0, y, 5 in ascending order.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**2 - 19*u**2 - 127*u**2 + 193*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 0.4 (d) 1\/7 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 202. Which is the third smallest value? (a) 2\/3 (b) 9 (c) q (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qynynyl. Give prob of picking 1 l and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954400?\nAnswer: 2, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.9 - -5.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -47670 and -47666 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = -19. Solve -5*g - n = -3*w, 0*g = w + 4*g + 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.4. Put 0.2, d, -0.1 in descending order.\nAnswer: 0.2, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 46251*b**2 + 4*b. Let v be a(-4). Round v to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhxhxnihhhhkixkhhxi. What is prob of sequence hhik?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h - 8. Let k(i) be the third derivative of -i**6\/120 - i**5\/20 - i**3\/3 + 3*i**2 - 2*i. What is the tens digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 divided by 3?\nAnswer: -932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 30 (b) 39 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**16*g**(-5\/2)*(g*g**(-3))**(-5\/3) assuming g is positive.\nAnswer: g**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*w + 5*n, -4*n + 8 = -2*w - n. Suppose -18 + 66 = -3*z. Let k = z - w. Let g(a) = -a**3 - 5*a**2 + 5*a - 5. Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 (base 12) to base 13\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 + 77. Let l = z + 12. Which is the third smallest value? (a) l (b) 0.5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 2:26 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/9)\/r)\/r*r*r*r**(-11)*(r*r\/(r*r*r*r\/(r\/(r*r**(-9)*r)*r)*r*r))\/r*r*r**(-18) assuming r is positive.\nAnswer: r**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -39. Let r be 2 - (3\/12 + o\/4). Solve -r = -y - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 2\/3, -3\/4, 0.09, 2 in decreasing order.\nAnswer: 7\/2, 2, 2\/3, 0.09, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3842104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v + 253 = -752 - 514 - 749 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 116*k - 101*k - 101*k + 38*k.\nAnswer: 5*k**2 - 280*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15448963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5841.723 millennia?\nAnswer: 70100676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/1351 or -1?\nAnswer: -65\/1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 567?\nAnswer: 567.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.067 (b) 0.3 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4700 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141\/43 or 4?\nAnswer: 141\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w = 2*w - 4, -2*b + 4*w + 20 = 0. Solve 2*m - b = 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/660*64\/4.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.68*0.2.\nAnswer: 1.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c + 283. What is u(37)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.865 + 3.665. Which is the third biggest value? (a) y (b) -0.3 (c) -3 (d) 2\/409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0*r - 5*r)*(3*r**2 + r**2 - r**2 + r - 2*r**2 - r + (2*r + r - 5*r)*(-3 + r + 3)) in the form s*r**2 + b*r**3 + x + m*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*q - 0*f + 2*f, 5*q = 5*f + 30. Let r = 0.5 + -0.3. Sort r, q, -0.5 in decreasing order.\nAnswer: q, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25178, -25181, -25184, -25187, -25190, -25193?\n\"Answer: -3*b - 25175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l**3 - 11*l**2 - 5*l - 1. Is i(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z)*(-2*z + z - 2*z) + 7*z**2 + 16*z**2 + 2*z**2.\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91047564 to the nearest integer?\nAnswer: 9542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12850 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h. Let k be r(-1). Let z be k\/(-3) - 6\/2. Let w(a) = -z*a - a - 1 - 5*a + 3*a - a**2. Calculate w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) 4 (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m. Let x be t(5). Suppose 4*s - 5*q - 101 = 0, 2*q = x*s - 0*q - 105. What is the remainder when 54 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 273372.8 millennia?\nAnswer: 3280473600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b**5 + 183*b**4\/2 + 183*b**3\/2 + 33*b**2\/2 - 9*b\/2 = 0 for b.\nAnswer: -3, -1, -1\/2, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963 - 979 = 8*o, -35*o - 226 = -4*x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-8) + (-2)\/8)*128\/80. What is the biggest value in c, 28, -0.1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a + 1389 = l, 2*l - 2775 = 5*a. Is l\/2 + -9 + 10 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/52 + 9\/208. Let h be (-1 + 0)*(0 - -1). Does m = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 9 + 40 + b**3.\nAnswer: b**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.96324 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 239, 323, 367, 359, 287, 139, -97?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337959, -338016, -338073, -338130, -338187, -338244?\nAnswer: -338301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsltltltslsthssttl. Give prob of picking 1 t and 1 l.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, g: 6, b: 1, s: 5}. What is prob of sequence sgs?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 737, 735, 731?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00632356 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from cccccdccccdccccd.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -9.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -11*s - 18. Let q = 4.3 - 4. Let u = 0.3 - q. What is the second biggest value in s, 4, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*r - 49 = 9907 + 6432 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 201, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 303*f + 5757. Let u be d(-19). Solve u = -q - 2*k + 6, -3*k = 2*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1943 - 1943. Solve -4*b - 4*q + 8 = m, 3*q = 4*b - q + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -14 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 78492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -88891.\nAnswer: 444455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 - 35*a**2 - 16*a + 11.\nAnswer: 12*a - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -35. Let p be (-30)\/(-16) + c\/10. Sort -5, 0.3, p.\nAnswer: -5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 14) to base 10.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -l. Suppose -3*a - 192 - 195 = l. Let h = a + 208. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2. Let b(s) = s**2 + s + 1. Let z(f) = -15*f**2 - 12*f - 12. Let q(w) = 12*b(w) + z(w). Determine q(h(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 65*c**3\/6 - 3*c**2\/2 + 219*c. Let y(z) = 2*z. Give y(i(v)).\nAnswer: 130*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + d**3 - 2)*(142 - 8 + 59) to b*d**2 + v*d + j + p*d**3 and give j.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*z + 4, -5*l - 5*z + 10*z - 40 = 0. Put -16, 5, l in descending order.\nAnswer: 5, l, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 633 - 613. Solve 0*y + l = 10*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: How many minutes are there between 2:07 AM and 3:44 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*-5*12\/60\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4771.5 - 4771. What is the nearest to -2\/357 in 4, 4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 899*u**3 + 2*u**2 - 1795*u**3 - 1 + 899*u**3. Calculate k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67.1 - -73. Let o = -53 + 55.9. Let v = a - o. Sort 2\/11, v, -0.05 in decreasing order.\nAnswer: v, 2\/11, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84.5, 4, 41\/4, 0.2.\nAnswer: -84.5, 0.2, 4, 41\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0.5, -0.1, -0.27 in decreasing order.\nAnswer: 19, 0.5, -0.1, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + (9 - (2 + -6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-36) + 38\/9. Let g(l) = -13*l**2 + 2 + h*l**2 - 1. Give g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -418, -360, -262, -124, 54?\n\"Answer: 20*d**2 - 2*d - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) 96988\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5445 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(1 + 165\/(-60))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 154 = 26*i + 99. Let a(u) = 29*u - 1. Let d(h) = 10*h. Determine i*d(g) + 3*a(g).\nAnswer: 7*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d**2 + 26*d - 187. Let j(z) = -7*z**2 - 8*z + 63. Determine 6*i(h) + 19*j(h).\nAnswer: -h**2 + 4*h + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -148*w - 98*w. Let a = 3 + 0. Suppose 3*c - w*c = a. Solve -3*u - 24 = -0*i + 4*i, u + 13 = -c*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3016 = 4*y - 4*a, -7*y + 8*y + 2*a = 739. Let g = y + -745. Solve -s + 12 = -5*s, g*n - 4*s = 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -8, -18 = -4*q + 3*f - 2*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5972 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1506807 - 1340.\nAnswer: -1341.1506807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 1, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 227, -1\/19, -2, 4 in decreasing order.\nAnswer: 227, 4, -1\/19, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 227329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -502, -508, -516, -526?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -0.1 (c) 0 (d) 27 (e) -208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.1, -212, 0.65.\nAnswer: -212, 0.65, 9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 27*r**3 - 3*r**2 + 5*r - 7. Let b be q(2). Suppose 219 = -i + b. Is 3\/(i\/24*(-6)\/491) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 50?\nAnswer: -3650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/12 + 5. Factor f(d).\nAnswer: d**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*t + 170 = 0, 3*o - 110 = -2*t - 3*t. What is the highest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {p: 1, c: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4 + 216. Let l = -55 + o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-18)\/(-15))\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 29735545.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:14 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/594 and -43\/198?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 13. Let w be r(-9). Let u = -141 + 66. Is (-4 + u)\/((-2)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 5*t + 2. Let d be c(0). Solve -5 = y + d*u, 0*y - 3*u - 18 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9 + 23*d - 13*d - 5 + 7 wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i**2 + 7*i + 15. Let k be n(-6). Let b = k - 365. Solve -5*z + 4 = -b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10)*(9\/2 + -2). Solve 13 = 4*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 16862.\nAnswer: 16862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3935498 and 7896.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -309, -520, -1127, -2328, -4321?\n\"Answer: -33*t**3 + 20*t - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2357920 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 279*g**2 + 202*g - 9792. Determine v(139).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) + -2)*5)**2.\nAnswer: -900*sqrt(13) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 7. Let v(x) = -6*x - 10. Let g be (-76)\/133 - -2*4\/14. Let f be 10\/(-20)*(g + 14). What is f*m(k) - 5*v(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -18. Let c be (30\/9)\/(k\/(-12)). Is (2 - (-125)\/c)*(-1 + -96) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -455.\nAnswer: -4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let k be 2*(-3)\/6 - -4. Suppose 4*q - 35 = -k*p, -q + 4*p = -5*q + 40. Let a(v) = 6 - q*v - 6. Give a(r(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 20 = -5*x. Let m = 17 - -13. What is the third derivative of 166*d**x - 166*d**4 - 5*d**6 + 5*d**2 + m*d**2 wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*k + 32. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 14) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*r + 241 + 101 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2532*q**3 + 3*q**4 + 288*q**2 - 5132*q**3 + 2534*q**3 + 864*q.\nAnswer: 3*q*(q - 12)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1)*(1 + 1 - 1) + (0*w - 2*w + 0*w)*(-5 + 4 + 0).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103200 (base 4) to base 8.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 278949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 7049?\nAnswer: 28196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 221 = -234. What is the closest to u in -2, -4, -4\/7, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 55, -2\/9, 0.2, -2, -5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.19 (b) 2\/9 (c) 0.4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 5*d**2 - 4*d - 10. Let q be u(6). Suppose 4*h + 4*z = 154 + 54, -q*h + 112 = -2*z. Let b = h - 51. Solve -b*o + 6*o + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0 - 2 + 0 + 10*x - 9*x**3 - 12*x + 4. Let v be ((6\/9)\/(6\/(-27)))\/1. Let s(f) = -10*f**3 - 3*f + 3. Give v*k(r) + 2*s(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -30\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-18))\/(28\/280)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*h - 3*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = 3*u + 12, 9*u + 4*h = -4*u + 13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 2158180*l + 232887045620.\nAnswer: 5*(l + 215818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 23*o**2 + 34*o - 52. List the prime factors of s(22).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -833337, -1666707, -2500077?\n\"Answer: -833370*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 4, d: 8, j: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**3*o*t + 42524*m**3*o + 4029*o*t wrt t.\nAnswer: -3*m**3*o + 4029*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -9, 4, -5, 0.04, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 44. Let n(u) = 4*u - 8. Let f(p) = 3*p - 8. Let s(z) = -3*f(z) + 2*n(z). Calculate the remainder when w(0) is divided by s(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50 - -153)\/((((-12)\/15)\/(-4))\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -335814*v**2 - 577*v + 577. Let i(o) = -3498*o**2 - 6*o + 6. What is -6*d(p) + 577*i(p)?\nAnswer: -3462*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 4*k**2 + 4*k + 11. Let d be ((-2)\/8)\/(141\/(-20) + 7). Let j be l(d). Let y = j + -9. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.7, 0.3, 12, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 7.643.\nAnswer: -11.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 28 - 1)*(-3*n + n - 4 + 2).\nAnswer: -172*n - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1789*f + 2701*f + 1528*f - 7408*f as k + y*f and give y.\nAnswer: -1390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.19 + -0.01. Let r = -96.86 + 93. Let k = n - r. Round k to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 132 = -5*u, -25*i + 27*i - 25*u - 28*u + 50*u = -66 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**2 + 25*n - 25*n + 9*n**4 wrt n?\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28783, 57569, 86355, 115141, 143927, 172713?\nAnswer: 201499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20*-1)\/(-4 - -2). Let h(u) = -u - 7. Let s be h(-10). Let x(c) = 2*c**2 + 34*c + 60. Let b be x(-15). Solve b = -s*w - l + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 58 + 31 - 9 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + 13. Let a(y) = 25*y**2 - 3049*y - 82. What is the remainder when d is divided by a(122)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90348606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-8)\/6 + 32\/(-48))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 19*i**2 - 16*i - 32. Let k be l(18). Solve k*v - 8 = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 1. Let h = -0.4 + 0.421. Let g = -3.021 + h. Which is the nearest to g? (a) 3 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -460*v + 14724. Let f be q(32). Let b(k) be the first derivative of 0*k**3 + 29 + 0*k**2 - 28*k + 23\/2*k**f. Differentiate b(n) wrt n.\nAnswer: 138*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 426 = 10*x - 9*x, 0 = -3*u + 5*x + 444. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-72)*2\/5*7.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 + 35*l**2 - 6. Let q(w) = 131 - 35*w**2 - 44 - 80 + 5*w**3. What is -7*g(s) - 6*q(s)?\nAnswer: -2*s**3 - 35*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 34 = 5. What are the prime factors of c\/((-13)\/(-42)) + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 558*j**3 - 672*j**3 + 23.\nAnswer: -114*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1561*l + 120. What is the hundreds digit of j(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 3*n**2 - n + 1. Let w(f) = -f**3 - f**2 - f. Suppose 0 = 2*y + k, -2*k + 2 = -5*y + 7*y. Calculate y*m(i) + w(i).\nAnswer: 2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 6056\nAnswer: -2422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -853*r + 146714. Determine j(172).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37901 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3084*p**3 + p + 5642 wrt p.\nAnswer: -9252*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1335 divided by 22\nAnswer: -1335\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 + 53644?\nAnswer: 54024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Suppose 107*x - 102*x + 680 = 0. Let v = x + 138. Solve -v*d + d + w = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let l = 0.15 + 0.85. Is l >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = 89*v - 179*v + 293 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -333, -326, -313, -294, -269, -238?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.6 + 32. Let w = -6 + 6.4. Let t = w + -0.8. Which is the biggest value? (a) f (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 5*f**4\/6 + f**3\/6 - 9*f**2\/2 - f - 16481. Let q(k) be the first derivative of -k**3\/3 + k - 1. What is 2*d(l) + 18*q(l)?\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1073*g - 2142. Calculate v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 1615 + 649. Let z = t + -520. What is the remainder when 47 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-46)\/15 + 3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 1. Suppose 3*k = 2 - 8. Let f be s(k). Let y = -4 + f. Put -4, -0.2, y in descending order.\nAnswer: y, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4923640 by -2.\nAnswer: -2461820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -61. Suppose 5*f = -2*z - 12, z = 2*f + 5*z - 8. Which is the nearest to m? (a) 0 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32790025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siim when four letters picked without replacement from {i: 4, m: 4, s: 9}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w - 13. Let q = 8 + w. Suppose -m + 29 = 2*m + q*h, -m + 5*h = -16. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1977*k**4 + 36*k**2 - 11*k wrt k?\nAnswer: -47448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*q + 20049 - 119671, -5*q = 2*u - 49796. Does 232 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from dzzdd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 + 8*l - 16. Let r be c(5). Let v(n) be the third derivative of n**6\/30 - n**5\/60 - n**4\/12 - n**3\/6 + 21*n**2 + 2*n. Determine v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423631 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 50*r**2 + 3*r. Let q(v) = -2*v**2. Give s(q(i)).\nAnswer: 200*i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*f - 5*d + 2, -3*f + d + 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 22*h**3 - 22*h**3 - h**2 + 4 - 3*h as k*h + y*h**3 + m*h**4 + o*h**2 + v and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-17 - -137))\/((-39)\/(-10))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28*y**3 + y**2 - y - 1. What is f(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249 - 532 - 195 - 472 - 2*i**2 - 2*i.\nAnswer: -2*i**2 - 2*i - 1448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 51 - 106 = 24*d + 350 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2149823117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19.392 (b) -4\/5 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 7 = -23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*q - 102, 4*o - q = -0*q - 84. Which is greater: o or -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 14*n + 2. Let t(p) = -p**2 - 5*p + 1. Let m(z) = -3*l(z) + 8*t(z). Let x be m(-2). Suppose -x*v + 3*v - 14 = 0. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 401728, 0.5, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.56 + 1.2. Let j = c + 0.1. Let x = -0.2655 - j. What is x rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:01 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.0908 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -271*w**2. Let y(o) = -10*o - 140. Let a(z) = 5*z + 56. Let l(c) = 5*a(c) + 2*y(c). Calculate l(j(t)).\nAnswer: -1355*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 101\/472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 382*j + 65318. Determine y(-171).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 2. Let v be ((-1)\/(-3))\/(q\/6). Suppose -2 = -t, 17 = 5*j - t + 2*t. Solve 2*x + v = j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 50, 62, 56, 26, -34, -130, -268?\n\"Answer: -u**3 + 31*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:22 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, i: 2, a: 11, q: 5, k: 1}. Give prob of sequence akqa.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5237*w**2 + 3810*w + 165553047 wrt w?\nAnswer: 10474*w + 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 131\/(((-4)\/(-6))\/(2\/3)). Find the second derivative of -131*g**3 - 4*g + k*g**3 + 31*g**5 + 3*g wrt g.\nAnswer: 620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 66 = -96 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + 0 - ((10 - -1) + (-2 - (-34 + 44)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46899460*y + 2843254?\nAnswer: -46899460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1026 + -1022. What is the second smallest value in 1, 13\/42, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 7. What is the units digit of 29 + (1 - 0 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 22. Let f be b(9). Suppose 4 = -f*l + 14. Find i such that 2*i**2 + 9*i + l*i**2 + 1 - 3*i - i = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 2\/9, -0.4 in increasing order.\nAnswer: -2, -0.4, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2935 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) + (-15)\/(-7) + 1 + -12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3542 and 36575.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(288) + -1 + 3)**2 - (-2*sqrt(288) + sqrt(288) + -5)**2)*1 + 4 + 2.\nAnswer: -72*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 9*v + 10. Let j be m(7). Let g be (-6)\/(-16) - (-63)\/j. Let s = 7 + -4. Solve 2*r - r - g*n - 5 = 0, 0 = s*r - 4*n - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, 16, 2 in ascending order.\nAnswer: 2, 16, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 659219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*z + 1916, z = -3*w - 2*w + 2395. Suppose 0 = -4*i + 1293 + w. What are the prime factors of i?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*u + 24 = 0, 0 = 4*q + 2*u + 4 - 28. Solve 2*s + 29 = -5*o, 3*s + q*o + 11 = 3*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939226 is divided by 421.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15)*39*1. Suppose -29*w + c*w = -36. Suppose 24 - w = 3*b. Solve -3*h + 24 = 5*o, h = -h - b*o + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10944 and 131499.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -660, -647, -634, -621?\n\"Answer: 13*y - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 7130502254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(120\/126)*592\/222?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 6*a. Let j(q) = -4*q**3 + 7*q. Give 6*j(m) - 7*t(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125081346 divided by 3?\nAnswer: 41693782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232215 divided by 246443.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 49?\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13474 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556356 and 40044.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7 + 46*z**6\/3 - 27*z**5\/10 - 30*z**4 - 44*z**3\/3 + z + 30. Determine m, given that y(m) = 0.\nAnswer: -11, -2\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 4) to base 16\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from fyyefyffyeffy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Suppose 4*y = 2*z - 28, 7*z = -2*y + 2*z - 2. Let q be m(y). Solve 0*t = q*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k - 416. Let x be y(-14). Which is bigger: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -10212001022111?\nAnswer: -10212001022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Let b(v) be the third derivative of v**4\/24 + 7*v**3\/3 - v**2. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1404\/(-1365))\/((-2)\/(-7)))\/(18\/(-60)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 + -4 + -6 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 15*c**2 + 30*c - 231. Let f be h(14). Let p(z) = -z + 8. Determine p(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/84*b**7 + 0*b**4 + 0*b**5 + 0 + 1\/60*b**6 + 13*b + 0*b**3 + 0*b**2. Find f, given that c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11700, 93991, 317364, 752361, 1469524?\n\"Answer: 11757*k**3 - k**2 - 5*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456777643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/(8\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(420\/21))\/(2*(-99)\/108)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-2)\/4)*-2. Let f = p - 2. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 31. Let t be r(-17). Solve -t*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = 5*r - 121, 3*a + 3 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 4, z: 2, y: 1}. Give prob of sequence yqqq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-22)\/y)\/(y\/y**(-20)))**(-11))**18 assuming y is positive.\nAnswer: y**8712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*y**3 - 11 + 48*y**3 - 52 - 3 wrt y?\nAnswer: 186*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = 0, -103*s - 2 = -c - 106*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0136 - 61.2864. Let f = z + 61. Which is the second smallest value? (a) 6 (b) -2 (c) f (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from {y: 2, o: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**7\/420 - a**5\/120 + a**2\/2 + 2*a. Let y(c) be the first derivative of u(c). Determine s, given that y(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147959 at most 147959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20630\/13 + 1587. Let k = 11 + -17. Calculate the common denominator of p and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3591 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27*h**3 + h**2 - 1. Suppose -2*m + 5 = 3. Let c be j(m). Let f(x) = -66*x - 27. Let n(z) = -5*z - 2. Determine c*n(t) - 2*f(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508533494 - 0.2.\nAnswer: -508533494.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 38844*m - 20 + 4.\nAnswer: -38844*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-5)*(-40)\/(-8). Suppose 0 = 4*d + p*q - 5313190 - 9726801, -3*q - 9 = 0. Round d to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3315)\/40)\/(-13) - 6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:58 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-10)*4 - 3654. Let w be (7\/((-14)\/(-40)))\/((-3)\/g). What is w rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 4*m + 1854, -4*m + 2801 = 3*l. Suppose 5*x = l - 241. Calculate the remainder when x is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 + d + 2 - 9.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 103486*b + 7140535. Determine y(-69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3931?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5 + 68*z**4 - 64*z**3 - 202*z**2 + 65*z + 134 = 0.\nAnswer: -1, 1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12021103 (base 4) to base 11\nAnswer: 17a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x - 15. Let h(c) = 15*c + 31. What is 6*h(a) + 13*w(a)?\nAnswer: -a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-204)\/272)\/(1\/(-856))?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 158 + 80 + -12?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55471 - 1375?\nAnswer: -57066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74721.5 days to weeks.\nAnswer: 10674.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 2. Let l be r(1). Suppose 0 = 2*n + l - 5. What is the biggest value in 0.2, n, 2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154576422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 771, 797, 843, 915, 1019, 1161?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*h + (-1 + 2 - 3)*(-6*h + 6*h - 2*h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(700)*-4 + ((sqrt(567) + 0 + sqrt(567))**2 - (sqrt(567)\/sqrt(9) + sqrt(7))).\nAnswer: -204*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:58 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542\/759 + -20\/69. Let o = -63\/5 - -688\/55. Let t = o + n. What is the third biggest value in -0.05, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from rijrrwjwrjuwurwujiwt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7 = -11. What is the highest common factor of o and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from uslle.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:27 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v**3 - 279*v**2 - 219*v + 72 = 0. Calculate v.\nAnswer: -1, 1\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7441508 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 609*c**2 - c - 8. Let y(d) = 346*d. What is y(n(z))?\nAnswer: 210714*z**2 - 346*z - 2768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3131 <= -3058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/(-19) - -3*(-6)\/(-171). Suppose 4*x + v = 6*v - 17, -3*x + 3*v = 9. Put x, -2, m in ascending order.\nAnswer: -2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*o + 1367 = -184 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 9 = 10*w + 2*o, -4*w + o + 17 = 0. Which is the third biggest value? (a) 4 (b) w (c) -3\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 53625?\nAnswer: 375375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/15, -4, 0.5, -102?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618551?\nAnswer: 3, 11, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 40236 = -40240 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mymmyeyeyyym. Give prob of picking 4 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1011110100011001 (base 2) to base 11\nAnswer: 33409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019207153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13923599.69 to the nearest 10000.\nAnswer: 13920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293900 a multiple of 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -23. Let v(l) = -l**3 + l**2. Calculate v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36076 and 1972.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1119*r**3 + 1126*r**3 - 1 + 64*r**4 to y*r**4 + c*r**2 + s*r**3 + i + l*r and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.459 + 27.575. Let c = -46 - -3. Let x = f + c. What is x rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37700 is divided by 9423.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -365 - -221. List the prime factors of -5 - (-3 - (0 - d)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/8983 and -1.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 5134?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 6:08 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 9*j = 5. Let k(r) = r**2 - 7*r - 12. Does 15 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/(-126) + (-34)\/153. Which is the third smallest value? (a) 4 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 12 + 34*p - 68*p + 51*p. What is the tens digit of y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 + 2*a + 3. Let l(w) = -w + 4. Let k be l(7). Let f be g(k). Is (1 + 523)*f\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 3*a + 2. Let p be w(2). Let m = 3 - p. What is the smallest common multiple of m\/6 + 1\/2 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {j: 4, o: 2, p: 10}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -15 - 0. Suppose -n*b = -8 - 4. Suppose -9*f + 15 = -b*f. Solve -3*o + f*r + 2*r + 9 = 0, r = o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -8*v**3 - 24 + 41\/7*v**7 + 0*v**6 + 0*v**4 + 0*v + 0*v**5 + 0*v**2. Find the third derivative of q(i) wrt i.\nAnswer: 4920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89482 (base 11) in base 6?\nAnswer: 2440213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 + 3 = 0. Find the common denominator of 3\/(-24)*41\/(-2) and ((-417)\/408 + b)*4.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4))**(-6\/29)\/(y*y\/(y*y\/(y\/(y**(3\/8)\/y)))*y)**8)**27)**(-27\/5) assuming y is positive.\nAnswer: y**(85293\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eehpejh. What is prob of sequence jpe?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2376\/(-9504)*(-80)\/(-3).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 191. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -1 - (-46)\/2. Suppose 5*v + 0*k + h = 2*k, -v - 3*k = 1. Let g = 4 + v. Solve g = -2*o + 2*i - 18, -3*o + 5 = -i + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/56)\/((-516)\/4816)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43783310 divided by -21891655?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -112407.8 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-475))\/(4\/(-10))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n + 83. What is l(17)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3196 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n + 1 = 47*n + 4*w, -5*n + 5*w + 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50041500 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*c**2 + 344*c**2 + 2*c - 2*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 13. Let r(g) = g**2 - g + 1. Determine -m(n) + 2*r(n).\nAnswer: 2*n**2 - n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 371639 - 55746811\/150. Let t = y + 56\/25. Find the common denominator of -1\/40 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 n when four letters picked without replacement from hwctncnccswnschwcss?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(108) + -4 + sqrt(108) + sqrt(108)*3.\nAnswer: -2 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*k + 12 + 33, 2*k = -3*z - 8. Let a = 479 + -4307\/9. Factor -2\/3*g + 2\/9*g**3 + 0*g**z + a.\nAnswer: 2*(g - 1)**2*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1586, 1909, 2232, 2555, 2878, 3201?\n\"Answer: 323*h + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**4 - 18*y**3 - 9*y**2 + 55*y - 27. Let z(b) = b**4 + b**3 - 2*b**2 - 1. Let l(p) = -u(p) - 3*z(p). Factor l(n).\nAnswer: -5*(n - 3)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1057.0258.\nAnswer: 211.40516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = 7*r - 24*c + 68, 7 = -3*r + 4*c for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 37 in increasing order.\nAnswer: 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1143 and 2865267?\nAnswer: 363888909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 11*o - 5. Let l be h(10). Suppose l*f + t = 67, 2*f + 4*t - 2 = f. Let s be 3\/f + 3\/(-6). Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, 2\/5, -68, -0.5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 204 = 0. Let h = 123 - r. What is the smallest common multiple of h and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 3618?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let k(l) = -m*l + 0 + 0. Let r(d) = -3*d + 4*d + 2*d - 2*d. Determine r(k(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110000101100110 (base 2) in base 3?\nAnswer: 121020202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04367 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 3*s - 9. Let l be h(-6). Let x be (-7)\/2*((-120)\/(-21))\/(-2). Solve m - x = -l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) + 2\/(-7). Suppose -4*j = -4*d + 72, 0*j + 72 = 4*d + j. Let z(s) = -s**2 + d*s + 0*s**2 - 17*s. What is z(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -2)*14\/(-21). Suppose 0 = -2*b - p - 0. Calculate the remainder when 41 + (b + 3 - 4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 680976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29723285858 from 3.\nAnswer: -29723285855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/6)\/((-74)\/(-111)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011872456 rounded to 6 decimal places?\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, e: 7}. What is prob of picking 1 o and 2 e?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 7*f - 2. Let r be i(6). Is ((-28)\/6)\/(r\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2876562328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166277054591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/3008 and -31\/9664.\nAnswer: 454208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*s - 9 = 0, -3*s + 0*s - 39 = -4*v. Let k(z) = -z**2 + 5*z + 7. Calculate k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.8 + 0.2. Let w = 30 - f. Let x = w + -15.6. What is x rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153037 + 63112. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30197 is divided by 548.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 9 - 12. Let w(m) = 13*m + 2. Determine w(y).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51211631, -102423268, -153634905, -204846542, -256058179, -307269816?\n\"Answer: -51211637*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -15. What is the smallest common multiple of 10 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + d - 249, 2*k - 5*d - 279 = -0*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 285324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108989 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2954985560 rounded to the nearest one million?\nAnswer: -2955000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1 - (-4)\/6). Let a(b) = b**2 + 4*b + 3. Let i be a(y). Suppose 5*c + 2*d - 35 = 0, -13*d + 8*d = c - 7. Solve -3*x = -f - 1, c = f + x - i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 393157?\nAnswer: -196578.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 2:45 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -221680.058 to the nearest 100.\nAnswer: -221700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16821 divided by -2\nAnswer: 16821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20021643 to the power of 1\/2, to the nearest integer?\nAnswer: 4475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11\/((r\/((r\/r**(14\/3))\/r))\/r))\/(r**22\/(r*r**(-9\/5)*r)) assuming r is positive.\nAnswer: r**(-232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10*(-5 + (-21)\/(-12)). Which is the second smallest value? (a) 4\/5 (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15400)\/(-60))\/(-35))\/(-2*(-2)\/(-12))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 906768*g**3 + 137852829 with respect to g.\nAnswer: 2720304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -311*g**5\/60 - g**4\/24 - 371*g**3\/3 - 455*g**2. Find the first derivative of q(k) wrt k.\nAnswer: -622*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 36 = 3*k + n, -n = 3*k + 30. Let q = -23 - k. Let o = 7 + q. What is the smallest value in 2\/7, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*c - 10 = -0*c, 0 = 4*l - c + 1. Put 5, l, -81 in descending order.\nAnswer: 5, l, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 - 74*o + 52. Let x be z(10). Solve 3*h - 2*k - 8 - 6 = 0, 0 = 4*h + 4*k - x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792422501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.408 * 3420.\nAnswer: -11655.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*o**3 + 67*o**3 - 18*o**3 - 288 - 19*o**3 - 20*o**3 - 2*o in the form z*o**2 + s*o + k*o**3 + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -1003301?\nAnswer: -1003220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y + 254. Let b = 247\/2 - 533\/4. What is the common denominator of b and 2 + -2 - y\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/2 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-16 - 6) - 18 - 87.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -2*x + 3*j = 5*j - 124, 3*x = 5*j + 218. Suppose z = 7*y - 4*y - x. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 16 + -22 + 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 6, y: 3, l: 4, e: 1}. What is prob of sequence geex?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5481 and 25172?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*v + g*v - 1648465*g + 174080*v - 13 wrt g?\nAnswer: -4*g*v + v - 1648465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 36 = 0. Let z = 3 - -20. Calculate the remainder when z is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 562770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*f + 4154, 0 = 3*f - q - 5151 - 1088. Suppose -9*n = 713 - f. Is 45 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfppfjjfypfpjjfjll. Give prob of picking 2 p and 1 j.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 35904?\nAnswer: 897600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(3\/4)*s))\/(s\/(s*s*(s**20\/s)\/s)) assuming s is positive.\nAnswer: s**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4953789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2020433302 + 2?\nAnswer: 2020433304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9861 minus -8?\nAnswer: -9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/(24\/6)*2\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1585 times 31.63\nAnswer: 50133.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -15. Let g = x - -6. Suppose -13*q + 29 = 3. Solve -q*b = g*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 2*d. Suppose d*x - 69 = -x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1656 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -111, -743, -1787, -3237, -5087, -7331?\n\"Answer: l**3 - 212*l**2 - 3*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 1492*q + 16643. Calculate r(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2 + 46*l + 48 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 21\/2*i**2 - 15*i + 20. What is the derivative of y(o) wrt o?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 819234570 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -12*y + 107. Let a(z) be the first derivative of -z**4\/4 + 7*z**3\/3 - z**2\/2 + 10*z - 4. Determine a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3762 by 5576.\nAnswer: -1881\/2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 11*z + 4. Let n(q) = q**2 + 1. Let b = -905 + 906. Calculate b*p(i) - 4*n(i).\nAnswer: -i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -10332329 in increasing order.\nAnswer: -10332329, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 + 6*c**3 - 6*c**2 + (-3*c - 9 + 9)*(c**2 + 2 - 2) as y*c**3 + j*c + w*c**2 + k and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1269 (b) -1 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 363*j + 179*j + 185*j = -21, -4*d + 2*j = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3*h + 10675*g**3*q**2 + 7364*g*h*q**2 wrt h?\nAnswer: -g**3 + 7364*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198639, -3, 0 in decreasing order.\nAnswer: 198639, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2. Let n(q) = -5*q**2 - q - 1. Let t(m) = m**2 + m + 1. Let b(r) = -n(r) - t(r). Give b(d(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 1644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126005\/3 + -42001. Factor -7\/3*r + g + r**2.\nAnswer: (r - 2)*(3*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*q = 193 - 175, -4*t = 3*q - 25. Solve t*k + 16 + 4 = 4*y, 4*k + 4*y = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -426 and 0.1.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxxhxnhxxymhxnhr. Give prob of sequence mnny.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r - 4*p = -74, 3*r + 5*p = 34. Which is the smallest value? (a) r (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -1768, -3974, -7060?\nAnswer: -11026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 11*a - 28. Let p be c(-6). Solve -p*j - 25 = -7*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 220*n**2 - 1075*n - 8140.\nAnswer: -5*(n - 37)*(n - 11)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6*k + 48. Let t(g) = -2*g**2 - 25*g - 8. Let a be t(-12). Suppose -a*y - 1144 = -17*y. What is the remainder when y is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0)*(6 + -5). Which is the third smallest value? (a) y (b) -2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Suppose 5*x - y + 4 = 24, 2*x - 25 = -b*y. Do x and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 4, k: 1, v: 12}. Give prob of sequence akj.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 7\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*s - 137*s + 6776 = 738*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 17*a - 9*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 23*w**2 - 40*w - 30. Let t be f(21). Solve -11*v + 7*v - t = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6.2, -0.23, 1\/5, 4\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -5\/3 (c) -1\/7 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + z - 3*z + z**2 + 10 + 12*z. What are the prime factors of s(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 13*r + 24. Let v be x(-15). Let c = 5 - 9. Let q be (-3)\/v + c\/(-8). What is the closest to q in 0, 0.4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -31. Suppose 4*u - u = -4*x + 67, -s*x = -4*u - 32. Is x less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29092\/1243683)\/(52\/38)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 27 = -217. Let i = -12 + c. Suppose i = -2*y + 4*y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = 5*s, 4*n + 2*s + 21 = 5*s. Let d(g) = 6*g**2 + 2*g - 1. Let h(o) = -7*o**2 - 2*o + 1. Calculate n*d(b) - 5*h(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 3, 4\/3, -0.5 in descending order.\nAnswer: 3, 1.5, 4\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12624348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -670 - -728. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -252.02 + 0.02. Let b = 168 + r. Let a = -79 - b. Put 1\/3, a, -0.5, 0 in increasing order.\nAnswer: -0.5, 0, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19 - -18 - (1\/(-1) - 2). Let b(j) be the third derivative of 0 + 0*j**3 - 2*j**k - 1\/120*j**5 - 1\/96*j**4 + 0*j - 1\/480*j**6. Factor b(g).\nAnswer: -g*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -3\/70*f**5 + 0*f - 1\/12*f**4 + 2\/21*f**3 + f**2 + 0. Factor g(a).\nAnswer: -2*(a + 1)*(9*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205\/3 - -69. Let b(q) be the first derivative of -2*q**2 + t*q**3 + 2*q - 3. Factor b(c).\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13\/6, 34, 0.4, 7\/9, 0.1, -9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from {k: 7, s: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*v**3*z + 15*v**3 - 202*z wrt v.\nAnswer: 15*v**2*z + 45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 + 62 - 31 - (-3 + 0)) + 15?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 17*z**2 - 39*z + 24. What is o(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 6*b - 2. Let s = 19338 + -19334. Calculate t(s).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1807 and 1.4.\nAnswer: 1.65298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7656\/(-1595))\/(153\/(-45) - 1).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5\/7 - 3*c**4 + 54*c**3\/7 - 66*c**2\/7 + 39*c\/7 - 9\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10321 - -4042404?\nAnswer: 4032033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:12 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10296, 20718, 31264, 41928, 52704, 63586, 74568?\n\"Answer: -u**3 + 68*u**2 + 10225*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481879 a multiple of 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-384)\/27 - 6\/(-27). Is (-6)\/21 - 102\/t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - f = 8*x + 1, 2*x = -2*f - 2. Suppose x = -20*d + 21*d + 103. Put d, 3, -2 in descending order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*m**2 + 1 + 4 - 5.\nAnswer: 216*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 + 6 = 0. Let l(t) = 18*t**3 - 4*t + 2. Let h(r) = 9*r**3 - 2*r + 1. Let s(d) = i*h(d) - 4*l(d). Determine s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-32))**(-3) assuming r is positive.\nAnswer: r**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 62019?\nAnswer: 310095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6149 - 6146. Solve m*s + 2*h = -7, 3*s - 3*h + 8 = -19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14037233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9078, -18155, -27232, -36309?\n\"Answer: -9077*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968030457.\nAnswer: 3, 322676819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(84)\/sqrt(7)) - (sqrt(21)\/sqrt(3) + -5)) + sqrt(63) + -3 + sqrt(847) + -4)**2.\nAnswer: -56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 4*o - o, -3*o = 5*t - 50. Let m = t + -2. Let n(d) = -d**2 + 3*d + 7. Let x(i) = -2*i**2 + 6*i + 14. Let q(s) = 7*n(s) - 4*x(s). Give q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*r**2 + 120129*r - 120129*r as q*r**2 + t*r + m and give q.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(38\/1368)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 53, 92, 153, 242, 365, 528, 737?\n\"Answer: p**3 + 2*p**2 + 10*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 6*v**2 - 6*v + 5. Let k be i(5). Suppose k = -l + 4, -4*o + 4*l - 1 = 3. Let p(s) = 2*s**2 - s + 2. Is p(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(11\/2)\/j*j))\/j**(6\/17)*j**(-4\/11)*j*j\/(j*j*j\/(j**39*j*j)) assuming j is positive.\nAnswer: j**(13009\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 685.6 and -218.2973872.\nAnswer: 467.3026128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 107573909\nAnswer: 9\/107573909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 - 5572*j**2 - 1992300*j - 35869644 = 0 for j.\nAnswer: -687, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 14*y + 29. Let m be z(12). Suppose 912 = m*v - 2043. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24659 + 24716. Which is the third smallest value? (a) -4 (b) j (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-5)\/40)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-16 - -25 - (52 - (26 - 28))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 + 88*r**4 - 5782*r + 3 - 93*r**4 + 5783*r - 2*r**3 to y*r + c*r**3 + n*r**4 + f + m*r**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-23)*s)\/(s**(-3)\/s))\/(s**(-2)\/((s*s**(-1\/14)*s)\/s)) assuming s is positive.\nAnswer: s**(-211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 4. Let a(n) = -n**3 + 8*n**2 - 6*n - 1. Let k be a(7). What is the units digit of f(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 + 13*p**2 + 6*p. Let u(f) = 2*f**3 - 7*f**2 - 4*f. Calculate 11*u(b) + 6*x(b).\nAnswer: -2*b**3 + b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -17. Suppose 5*b + 2 = 37. What is the remainder when h is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3080.6 rounded to the nearest ten?\nAnswer: -3080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 9 = -s, 4*c + s - 14 = 25*c - 18*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 433, 635, 837, 1039?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2989 - -629.\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 9942*h**2 - 9940*h**2 + 19882*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + i - 75927*i**2 + 82659*i**2 - 6*i.\nAnswer: 6732*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 22 + -2 - (-4 + 2)) + -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12498\/7 - 33224\/21. What is the third smallest value in -1\/4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -101, 0, 191\/2?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75399)\/(-33715) + (-14)\/22.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/97274111 + 21877044838051\/1945482220. Let k = a + -11240. What is the common denominator of k and -77\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -840 + 909.4. Let l = 62.29 + -1.29. Let r = v - l. Round r to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1239*l - 427*l**3 - 3876*l**3 + 1 - 1245*l + 88*l**2 + 95*l**2 wrt l?\nAnswer: -25818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/15 - z**5\/5 - 11*z**4\/12 - 226*z. What is the third derivative of f(q) wrt q?\nAnswer: -48*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71330317*g**3 + 2*g**2 - 1453*g + 269 wrt g?\nAnswer: 427981902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 - 14*z - 49. Let d = -1039 + 1032. Calculate j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2507316 to four dps.\nAnswer: -0.2507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/497 (b) -0.8 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 7*q - 2. Let c be r(6). Let j = -2 + 2. Put -5, c, j in increasing order.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 3\/4*k**4 + 47\/2*k**2 - 18 + 0*k + 0*k**3. What is the second derivative of s(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*a = 20, 2*a + 5 = -5*d - 0*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 404?\nAnswer: -1\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 156 - 111)*(6*n - 6*n + 4*n) + 1 - 1 + 2*n + 4*n - 2*n - n + 0*n - n - n + (0*n - 2*n + 0*n)*(5 - 2 - 2).\nAnswer: -161*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from jnvbsssjjb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000564 to six dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.38837315 rounded to 3 decimal places?\nAnswer: -5.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t\/t**1)*t**(-2\/7) assuming t is positive.\nAnswer: t**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(6\/(-16)). Suppose -p*f = -0*m - 5*m + 48, -f = 2. Suppose -3*g + m = 2. Solve -g*y - 4*h - 2 = -5*h, -8 = 5*y - h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*b - 547 - 84*b - 550 + 1640 - 101*b - 546.\nAnswer: -242*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4 + 879736*h**3\/7 + 1131070*h**2\/7 + 251348*h\/7 = 0?\nAnswer: -62837, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16813367029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12000 - -1?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 96214471 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/1)\/(-2)*-8. Let t be (153 - (10 + -5)) + -4. Suppose -117*k - t = -119*k. Calculate the highest common divisor of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215350571 to the power of 1\/3, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 5 - 20 = -15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4*f = p + 48, 0 = -3*f + 6. Let t(x) = -9 - 5*x + 1 + p*x. Determine t(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 112.000028. What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 27 - 39 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*h + 3, -2*z + 5*h + 60 = 3*z. Let b be ((-43200)\/z)\/(6\/105). Round b to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 0*t**2 + 34*t**3 - 11*t + 6*t - 1 + 7*t. Is 3 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27718, -27716, -27714?\nAnswer: -27712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47625.372 - -47543. Let p = l - -82. Round p to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963247 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 -275382, -1101493, -2478330, -4405893, -6884182?\n\"Answer: -275363*c**2 - 22*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 17, b: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8841712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h - 8. Let z be a(-13). Let v be (-8)\/2*z\/(-8). Let t = 49 - v. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 5*w + 5*w**2 - 6 + 0*w**2 - w**3. Let t be i(4). Let z be (1 - -1)\/(4\/(-1)). Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -138.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 1249, 2989, 5437, 8593, 12457, 17029?\nAnswer: 22309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 2 + -1*sqrt(684)*-3 + sqrt(684)))**2.\nAnswer: 12096*sqrt(19) + 395748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.09 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 1. Let r be t(1). Let c = 16 + r. Let h(i) = 2*i + 4. What is the least common multiple of c and h(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.251, -6?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(468) + -2 - (sqrt(468) + sqrt(468)*1 + 2)) + (-5*(sqrt(468) + 1) + sqrt(468))*-3*6)**2.\nAnswer: 71208*sqrt(13) + 2235544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2160 and 1600?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u - 1. Let g be o(3). Let v be (3 + -4)\/((-2)\/g). Is (v - 2) + 0 + 56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from bbgbbbggbg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 298 = 4*z, 4*z - 575 = -4*d + 3*z. Let k(w) = -4*w - 3*w - 45 - 3 - 23. Let y be k(-12). What is the highest common factor of y and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 18. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 148*s**2 + 3*s - 36. Let y(b) = -14*b**2 - b + 2. What is -n(x) - 3*y(x)?\nAnswer: -106*x**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 256 - 2000 = -4*n, 0 = 5*c. What are the prime factors of n?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(-5*sqrt(7)*-1 + 5))**2.\nAnswer: 1800*sqrt(7) + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, -4*n + 0*n = 2*a. Suppose n = 2*h - 6*h - s + 2869, 3*h - s = 2150. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1080289*h**4 + 951029.\nAnswer: 4321156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64308 = -3*k - 2*g + 85650, 3 = -g. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3489616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Suppose -6*n = y - n - 6, n = 0. Let u = y - 4. Let m(i) = 5*i**2 - 4*i**2 + 10*i**2 + 0*i**u. Determine m(r(d)).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 + 20\/(-30) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1907 divided by -53\nAnswer: -1907\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/196)\/((-162)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24123 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u + 5. Let l(y) = -y**3. Let o be 2\/(2\/(-7)) + 23*(-9)\/(-207). Let q(h) = -8*h**3 - 2. Give o*l(a) + u*q(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/75, -1\/33, -1682 in descending order.\nAnswer: 2\/75, 0, -1\/33, -1682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose -k + 5*r = -27, 3*k + 0*k - r - 151 = x. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -62 + 67 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 9:35 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155882 is divided by 8656.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.4 + 47.1. Let q = 51 + z. Sort q, 3, 0.3 in decreasing order.\nAnswer: 3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**3*d)\/(d*d\/d**(-1\/6)))\/(d**(1\/5)\/d*d*d**0)*((d\/(d*d*d**(-6)*d))\/d*((((d\/(d*d**(-6\/11))*d)\/d)\/d)\/d)\/d*d)**(1\/12) assuming d is positive.\nAnswer: d**(-1477\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -1246, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -4. Let p = 16 + -12. Sort p, s, 0 in descending order.\nAnswer: p, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763 - 108.71?\nAnswer: 2654.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9510.387 grams to nanograms.\nAnswer: 9510387000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 3*j**2 + 2*j - 10. Let k be l(-4). What is the third biggest value in 0.008, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(48\/8) - (-14 - -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 + -1.070001918. What is t rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103*g*h*l**2 + 2*g*h - 11032*g*l + h*l + 6*l**2 - 34258*l wrt g?\nAnswer: -103*h*l**2 + 2*h - 11032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 4. Suppose -5*w = -3*y - 685, -117 = 4*y - 137. Calculate the lowest common multiple of b and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-3096))\/(1060\/795)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = o - 13, 0 = -3*t - 2580*o + 2581*o - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/60 + u**3\/3 - 3*u**2 - 14. Suppose -4*a = x - 20, -6 = -4*x + 5*a + 11. Suppose -x = -c - 3*c. Give s(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 86\/(-7)) + 8\/(-28). Let r(c) = 13*c + 4. What is the hundreds digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = x + 15, 0*x + 5*x = -3*h - 33. Let s be (-16)\/(-3) - (-2)\/h. Suppose -s*o + 36 = j, o = -3*j + 3 - 7. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -255 - -255. Let k(f) = f**2 - 6*f + 4. Let z be k(6). Sort z, d, -1 in descending order.\nAnswer: z, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-5)\/(-4))\/(-1). Let z = 4 - 3.9. Let y = 1 - -2. Which is the third biggest value? (a) z (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 32604 - 3345 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -4, 0, -2\/5 in ascending order.\nAnswer: -5, -4, -0.5, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 - 1739*i**3 - i**2 + 48346?\nAnswer: 8*i**3 - 5217*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 72177190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u**3 + 28*u**3 + u**3 + 5*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 7*g - 58. Suppose g*q = 3*u - 14, 2*u + 6*q + 4 = 4*q. Solve j - f = -j - 4, -5*f - 4 = u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 87*v**2 - 278*v - 511. Is l(82) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1697*u**3 + 8*u**2 - 158982.\nAnswer: 5091*u**2 + 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4*u - 14, 0 = -4*u - 4*h + 275 - 283 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/(6\/(-45)). Let d = -7 + m. Which is the smallest value? (a) 0.1 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7718\/3 + 2572. What is the nearest to -43 in 0.06, 2, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 4 - 1) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 - 472*a**2\/5 + 938*a\/5 - 468\/5.\nAnswer: 2*(a - 234)*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*(-1)\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 11*x + 11. Let s(a) = a**2 + 2*a - 2. Let w(d) = 2*i(d) + 11*s(d). Let g(c) = -4*c. Determine g(w(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322 + -312. What is the lowest common multiple of 62 and o?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -914, -4515, -10812, -19805, -31494, -45879?\n\"Answer: -1348*j**2 + 443*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22200 - -24312.8. What is w rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33100973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/((-48)\/(-5160)) - 7\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*c**4 + 232025*c + 20*c**2 - 232025*c as v*c + q*c**3 + r + j*c**2 + b*c**4 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -92*x + 310. Determine y(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*o + 30*o - 33. Let t be 2 - (0 + 2) - -21. Let z = t + o. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2069616.43 + -2069614.272260902. Let t = j - -132.842242602. Let m = 135 - t. Round m to 6 dps.\nAnswer: 0.000018","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 sbssvvssss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 12:46 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/55 - 844\/495. Let u be (-173)\/(-765) - 24\/120. Let q = 12401\/306 - u. Calculate the common denominator of t and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/120 + c**5\/20 - c**4\/12 + 2383*c**3\/6 + 22*c**2. Is l(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, 1 i, and 1 u when four letters picked without replacement from {h: 1, w: 2, z: 1, i: 1, u: 1, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7163 is divided by 728?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*y**2 - 5*h**2 + 41328*h*y**3 - 136791*h*y - 2*h - 14*y**2 - 2*y wrt y?\nAnswer: 4*h**2 + 247968*h*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**42\/(v**(-15\/8)\/v*v) assuming v is positive.\nAnswer: v**(351\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y + y + 4*y + 3. Let g be u(3). Let a be 238\/18 - 4\/g. Calculate the greatest common divisor of a and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14524 divided by -14\nAnswer: 7262\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10254218 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**6\/288 + 7*u**5\/480 + u**4\/48 - u**3 + 6. Let z(f) be the third derivative of t(f). What is q in z(q) = 0?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5284 - -0.64235. Round d to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/7 + 8\/(-28). Let p be (14\/(-35))\/(1\/z). What is n in 0*n + 0*n - p*n**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1102538766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 91 - 5*w - 14*w - 194.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)*(v**(1\/23)*v)\/v*v assuming v is positive.\nAnswer: v**(74\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 18, p: 1}. Give prob of sequence qqq.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -5*q. Suppose -q*w + 3 = 1. What is the second smallest value in w, 3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 minutes after 12:06 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5771090 = -d + 9828907, -9 = 3*d. Round r to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 14*i - 33. Let x be m(-11). Let v(r) = -r**3 + r**2 - 2. What is v(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -86*g**2 + 4. Suppose -4*c + 0 - 48 = 0. Let k be (7\/((-14)\/c))\/2. Let n be j(k). What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20447 is divided by 19932.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r + 1. Let w(o) = 10*o**2 + 11*o + 7. Let x be 16\/6 + 6\/(-9). Let d(u) = x*w(u) - 22*y(u). Find the first derivative of d(v) wrt v.\nAnswer: 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 7*u + 9*u + 2 = 0, 5*u + 27 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4, 5*z = z - 5*h + 74. Let u = -13 + z. Let v be (-9)\/u - -2 - -3. Solve 0*p = p - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 578 and 1156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*z = -2, 5*z = 24 - 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.11801l?\nAnswer: 22118.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpvi when four letters picked without replacement from imvnpf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.36. Let n = -36 + 31. What is the third smallest value in 5, n, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 14*j**2 - 2*j - 8. Give s(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in 0, 2, 15\/4, 1\/5?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 15)*(-4 + 14 + 7)*(-2 - 1 + 5)*(-44*i + i**2 + 3 - 5 - 3*i**2).\nAnswer: 1360*i**2 + 29920*i + 1360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/z**(-6\/5))\/(z\/z**2)**(8\/9) assuming z is positive.\nAnswer: z**(421\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -0*q - r, -5 = r. Suppose 2*a - 10 = 0, -g = -4*g - q*a + 146. Let v = g + -36. Solve 5*y - 14 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*h**2*w**2 + 4*h*w**2 - 343*h*w wrt h.\nAnswer: -152*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 593025, 1186051, 1779077?\n\"Answer: 593026*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27336.44 - -27355.38117. Let w = c - 116.94008. Let r = w + 98. What is r rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 1182*k + 27810. Determine n(-23).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-3)*g)*g**(-4)\/g)**40 assuming g is positive.\nAnswer: g**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3421\/13 + 263. Suppose 3*o - 57 = 5*u, 2*u + 2*u = -5*o + 58. Put 0.1, o, p, -2\/11 in decreasing order.\nAnswer: o, 0.1, p, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 610339255 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 40468*v\/9 + 40466\/9.\nAnswer: 2*(v - 20233)*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1730a (base 13) to base 6.\nAnswer: 541453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 2*i - 3. Let b be z(-2). Suppose d + 2*q = 17, 4*q = -3*d + 4*d + b. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/9 + 428*w**2\/9 - 50020*w\/9 + 591712\/3.\nAnswer: -(w - 264)*(w - 82)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 7. Let k be q(5). Suppose -k*a + 3*d + 226 = 0, -a - 21 = 5*d - 160. Suppose 0 = 6*m - a - 271. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 4*k + 1. Let m(f) = 2*f**2 - 3*f. Let o(y) = 4*m(y) - 3*w(y). Let t be (10\/(-8))\/(2565\/(-108) + 24). What is o(t)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwhbwiiiiiibihbiis. Give prob of picking 1 w and 1 h.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.88455l?\nAnswer: 29884.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -q + 4*s, 0 = s + s + 10. Solve 3*y = -5*p + 20, -3*p - 6 = q*y - 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*r = -249, 0 = -3*g - 8173*r + 8168*r + 738. Solve g*c = 214*c - 102 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 3*f - 64. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 345, -159, 5 in descending order.\nAnswer: 345, 5, 4, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, -2, 27\/5, -4\/7 in increasing order.\nAnswer: -3, -2, -4\/7, 0.5, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33.81196 milligrams?\nAnswer: 33811960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 492025644 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*d, 3*c - 18 = -2*d + d. Suppose b - d + 1 = 0. Let i be 1 - ((-46)\/b - -2). Solve i = -n + 5*o, -o - 5 - 2 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -27, -45, -81, -141, -231?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 15) to base 12\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from hqeeeqqwcenq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-33)*652161\/6. Let a = i + 9883. What is the common denominator of (-264)\/(-105) - (-4)\/14 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Suppose 4*n = -b + 514, -5*b = n - 7*b - 142. Suppose 5*j - 110 - n = -t*c, j = -2*c + 52. Calculate the lowest common multiple of j and 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/28)\/((((y\/(y**12*y))\/y*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69260.\nAnswer: 2, 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 115022979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + t**4 + (-4*t**4 + 5*t**4 + 0*t**4)*(-1 + 3 - 1) + (-4*t**2 + t**2 + 4*t**2)*(2*t**2 + 3*t**2 - 3*t**2) + 34*t**4 - 7*t**4 + 5*t**4.\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/89300 and 71\/54302?\nAnswer: 127609700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/18457360 and 85\/56.\nAnswer: 129201520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 27 = -1. Let a(s) = -10 + 3*s - x + 19 - 8 - 2*s**2 + 2*s**3. Let v(k) = k**2 - k + 1. Calculate a(w) + 2*v(w).\nAnswer: 2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 + (26 + -2)\/8 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211122012 (base 3) to base 4\nAnswer: 10001312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614529681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -4 (c) 0.13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*p = 2*b - 4*b + 1650, 0 = 2*p. Calculate the greatest common divisor of 44 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 534, 1066, 1598?\n\"Answer: 532*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*u + u. Let d be 23*(-2 + (-76)\/u). Let h = d + -63. What is the biggest value in -1\/4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 14\/(-10))*-5. Suppose 3*i + 5 = -5*c, -5*i + x + 2 = -4*c. Suppose i = -0*o + 5*o - 30. What is the remainder when 11 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 675, 1324, 1973, 2622?\n\"Answer: 649*r - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 - v. Let x = -4 - -4. Let y be t(x). Suppose y*z = 2*c + 2*z - 268, 652 = 5*c - z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 4*h + 45 + 0*h - 120.\nAnswer: 4*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 378?\nAnswer: -377.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s - 34. Let q be t(7). Let a(b) = -b**2 + 14*b - 13. Calculate the remainder when a(q) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 35120?\nAnswer: -35130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 2694*i\/5 + 177156.\nAnswer: 2*(i - 777)*(i - 570)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - 5. Let m = 17.9999975 + q. What is m rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 5*v + 7*v)*(2*v - 2*v + v**3)*(4 - 1 + 0) to the form h*v**3 + m*v + o*v**2 + f + g*v**4 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -42*n - 7. Let z(d) = 0 - 42*d + 1 - 9. Let r(i) = -3*p(i) + 4*z(i). What is the first derivative of r(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001703814 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19552727.\nAnswer: 19552727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423346?\nAnswer: 2, 7, 11, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -25, -8*i = -5*m - 5*i + 1920. Let c = m + -114. Suppose 0 = 20*v - c + 7. Solve -2*s - 3*p + 0 + 13 = 0, -p = 5*s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 0.09, -2\/13, 4\/45, -0.03 in ascending order.\nAnswer: -2\/13, -0.03, 4\/45, 0.09, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (99 + -13 + -71).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 = -1. Let l be 64\/((-80)\/(-44) - d\/(-33)). Let p = 9 + -5. Solve -4*y + l = -4*j, -j + 3*j + p = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/5 - 701234*r**3\/15 + 5299242*r**2\/5 + 701234*r\/15 - 1059848 = 0.\nAnswer: -116895, -1, 1, 68\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - j - 4*j = -17, 4 = 5*a - 2*j. Let h be ((-46)\/20)\/(692\/865) - -4. Is a > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -171 (c) 2 (d) 4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10125695, 10125712, 10125729, 10125746, 10125763?\nAnswer: 10125780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8079 rounded to one dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382032 and 513072.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 4*c + 72, c + 5 = 0. Let i = 30 - t. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - 2*i**3 + 3*i**3 + (2*i - i - 2*i)*(-10*i**2 - 6*i - 13*i**2 + 150 - 151).\nAnswer: 21*i**3 + 6*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18*r**4 + 64*r**3 + 94*r**2 + 54*r - 14. Let u(c) = 4*c**4 - 13*c**3 - 19*c**2 - 11*c + 3. Let i(x) = 3*m(x) + 14*u(x). Find v such that i(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 76*s**2 + 289*s + 79. Let f be w(-72). Solve t + f = -2*g - g, -3*g = -5*t - 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h**5 - 5041*h**4\/2 + 9723*h**3\/2 + 2642*h**2 - 4250*h + 456 = 0.\nAnswer: -76, -1, 2\/17, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 256571827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -54, -96, -176, -306, -498?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 48\/54 - 3)*-3*-3. What is the closest to 2 in -8, j, 3\/8, -3\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14285 + 15057. Calculate the lowest common multiple of l and 6.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101101 - -1?\nAnswer: -20101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l - 5*z - 150, 0 = -l + 4*z + 27. Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Suppose b = 2*v + 1 + 7. Let h be 2 + (v\/(-1))\/(-2). Which is smaller: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 + -3 - -16).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.199 * -0.0238\nAnswer: 0.0047362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9397 = -2*v + 5*l - 659, v = -2*l + 4387. Is 30 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*a**3 - 6*a - 2*a**2 + 5*a**3 - 80 - 76 + 158 as s*a**2 + q*a**3 + d*a + m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5762 or -17282\/3?\nAnswer: -5762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 1020*z + 901072\/3.\nAnswer: 2*(z + 398)*(z + 1132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 182.7 and 67.61.\nAnswer: 250.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 316, 358, 396, 418, 412, 366, 268?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 8) + (2291\/4)\/29.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 7*b + 1. Let k be p(-6). Let t = -9 + 9. Let v(c) = 1 - 2*c + t*c + 3*c + 4. What is v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8660? (a) 0 (b) 54 (c) -0.2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 40 = 4*w. Let s be 78\/24 + 2\/w. Solve s*n - 4*a + 3 = 0, 3*n + n + 2*a + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -13. Suppose 0 = -v - 1, -4*v + 6 + k = 3*f. Solve 5*c = -5*t, f*t = -5*c - 0*c - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 0, f = 210*a - 211*a. Solve f = 9*y - 23*y - 42 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -819\/5 (b) 3 (c) 6\/7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/133 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:22 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 28, -1\/51, 0.5, -0.2, -5, 816?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 6*w**3 + 10 - 3*w**3 as x + f*w + u*w**2 + d*w**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, w: 7}. Give prob of sequence wws.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/28*6\/(-6)*-1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2.5 (c) 1 (d) -2679 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.211, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 12*n + 26. Let f be m(-14). Let p be 0\/((-6)\/f - 5). Solve 2*i + 6 = -p*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3119, 6227, 9321, 12395, 15443, 18459, 21437, 24371?\nAnswer: 27255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -333, -756, -1173, -1578, -1965?\n\"Answer: c**3 - 3*c**2 - 421*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772238 to the power of 1\/2, to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) - (sqrt(154) - sqrt(154)*1 - sqrt(154)))\/sqrt(7) - (sqrt(22) + sqrt(22) + sqrt(44)\/sqrt(2))*4)\/(3*sqrt(33)\/sqrt(3)*-4).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 + 0 = 0. What is the tens digit of q*(-34)\/2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 3:15 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 15*b + 11. Determine l(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*b - 187 - 116, -b + 147 = -s. Suppose 0 = -5*u + b - 5. Let n = u + 38. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/2 (b) 24 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480675013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3956 is divided by 361.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 11:06 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6923633275.\nAnswer: 5, 13, 29, 157, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-16)\/(-12). Suppose -7 = 4*c - 19, j*h - 2*c - 52 = 0. What is the remainder when h is divided by (-1)\/(-1*1\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58667 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-7)*f)\/(f\/(f\/(f**(-1\/5)\/f)))*(f**0)**(2\/59)*(f**(3\/10)\/f*f*f**(1\/8))\/((f\/(f\/f**4))\/f**6) assuming f is positive.\nAnswer: f**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 9, 1\/3395?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 30 - 2*g + 35 - 118 + 25 + 33. Give n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1025\/22 + -144\/11. Find the common denominator of 11 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 + 4*v + 4. Let w be 1\/(2\/(12\/3)). Let m be -2 - 3\/(3\/w). Let n be p(m). Solve -4*f = -0*j - n*j - 12, 5*j - f = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + h**3 + 10*h - 13*h**2 - h + 3*h. Let v be q(12). Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 449 - 89. Suppose i = 2*q + 7*q. Suppose -q*j = -3*j - 475. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5438783*w**3 + 113*w**2 - 63*w + 38?\nAnswer: -32632698","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-3 + 15)\/3. Suppose 0 = 4*h + 2*o - 4, 3*h - 5*h = -2*o - 8. Sort -0.2, h, u in decreasing order.\nAnswer: h, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + 2*sqrt(91)))\/sqrt(7) - sqrt(13)) + (2*sqrt(1300))**2 + -3 + (sqrt(52)\/sqrt(4) + 2 - (1 + 1 + sqrt(13)))**2.\nAnswer: -3*sqrt(13) + 5197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -3, 0.65.\nAnswer: -3, 0.65, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1601231*u*y - 8872434*u wrt y.\nAnswer: -1601231*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -15 - 24. Solve j*q + 6 = -3*k, -5*k - 4*q = -2*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 60.4. Let w = 0.32 + 0.08. Let i = w + a. What is the smallest value in i, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4601*t - 54 = -4596*t, -5*p = 8*t - 27 - 12 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 2*v)*(-5 + 3 - 3).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105121 = -2568*n - 89570 + 45747 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 643 - 616.8. Let u = v + -27.2. Is u greater than or equal to -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 7*t - 12. Determine s(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10846 in 2\/7, 5, -1\/131?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2222, -10, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -10, -2222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746152.\nAnswer: 2, 167, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:49 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 8\/207, 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, e: 2, m: 5, b: 4}. Give prob of sequence bsem.\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 + o + 11. Let f be g(-7). Solve -2*t + 12 = -f*p - 0*p, 3*t - 9 = -3*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*m + 2*a, 2*m - 4*a - 4 - 4 = 0. What is the least common multiple of 10 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 387 - 57 = 0. Let m = g + -150. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 36*u + 284. What is the lowest common multiple of 4 and r(-26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1110010111100100?\nAnswer: 1110010111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 1. Let l(b) = 7*b**3 - 5*b**2 + 5. Determine 3*l(v) - 15*u(v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 6*z**2 + 6*z. Give l(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 4*o**4 + 6*o**4 + (0*o**4 - 3*o**4 + 5*o**4)*(-6 + 3 + 0) - 3*o**4 - 4*o**4 + 4*o**4.\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(72)*2 + 5 - (-4 + (sqrt(72) + 1 - sqrt(72))))*-2)**2.\nAnswer: 768*sqrt(2) + 1403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. Let t(p) = 2*p + 6. Let r be t(i). Suppose 54 = 4*v + r. What is the remainder when 58 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.85? (a) 2\/21 (b) 1 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -0*d + 55. Let j(p) = -2*p**2 - 1. Let h be j(2). Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 9. Suppose -3 = 3*t - 3*i, i = 4*t - 2*t - 2. What is the second derivative of -4*b**3 + t*b**3 - 3*b - 6*b**m - b**3 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 124 - 244?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 v when three letters picked without replacement from {e: 9, q: 1, u: 1, c: 1, y: 1, v: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/41132 and -2\/1469?\nAnswer: 41132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 50. Suppose -13*j = -i*j + 8725. Suppose -4*a = 2*z + 707 + j, -5*z - 6142 = 4*a. What is z rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:43 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 620625 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 at most as big as 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*i - 280*i + 153 = -c, c = -2*i + 63. Solve -v = 5*s - 16, 4*v - 4*s - 4 + i = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2. Suppose -p = -2*c + 45, -4*p - 3*c + c = 130. Let n = -11 - p. Let v(r) = -3*r**2 + n*r - 24*r. Calculate y(v(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(2\/(-1)) + 235 + 20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 45 + 135. Let o = -8 + x. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694176 to the power of 1\/2, to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1708.427*-2\nAnswer: 3416.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 334*i**2. Let a(s) = -4755*s. Give m(a(d)).\nAnswer: 7551748350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)**(2\/11)*((b**(1\/3)*b)\/b)\/b**0*((b\/(b\/(b\/(b\/b**(1\/2)*b))))\/b)**(32\/3)\/((b**(-3)\/b)\/(b*b**3)) assuming b is positive.\nAnswer: b**(-259\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412654*r + 384 = 1412680*r - 1618 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*z = -17, 7*h - 3*z = 3*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211211211122 (base 3) to base 13.\nAnswer: -40c607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-6)\/360)\/(8\/(-16)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3895)\/2337)\/(3 + (-661)\/222)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w - 2. Calculate p(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -42, -38, -34, -30, -26?\n\"Answer: 4*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000198305997 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212505 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*m + 6, -2*v + 2 = 5*m + 3. Let q be (-4)\/26 - (-56)\/26. Let t be (21\/(-63))\/(q\/(-24)). Solve -4*z + v = x - 1, t*x - 3*z + 26 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(6*f**2 + 4 - 4) + 8*f**2 + 9*f**2 - 28*f**2 + 2*f**2 + 2*f**2 - 3*f**2 + 4*f**2 - 3*f**2 - 5*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -439 + 453. Which is bigger: -6 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 + 19*h**3 + 4*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 7*q**2 + q + 9. Let g be b(-7). Calculate the remainder when 2\/(2\/4*g) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let s be 89\/3 + r\/(-3). Let m be ((-2)\/s)\/((-1)\/3). Is 1\/3 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 1)*(-1 + 6 + 1)*(13*s - 2*s - 2*s) + 0 - 2*s + 0.\nAnswer: -272*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5362 and -51\/26810?\nAnswer: 26810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + l = 4148, 5 = -9*l + 4*l. List the prime factors of x.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + -1 + (-3 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.220221 + -0.31401. Round d to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 + -4 - (3 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, e: 6}. Give prob of picking 3 r and 1 e.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o**2 + 5*o**2. Let d(u) = -3*u - 4. Let s(f) = -2*f - 3. Let x(r) = 3*d(r) - 4*s(r). Give n(x(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = i + 5*t, -163*i + 166*i - 4*t - 19 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 10*q - 11. Suppose 0 = -9*p - 33 - 66. What is n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*s + 13, 0 = 3*b + 4*s - 2 - 27. What is the remainder when 209 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1.239164?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 43*x**2 + 14*x + 4. Let h be n(14). Let z be 0\/((-2)\/(h\/(-10))). Solve z*m - m = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - ab0a?\nAnswer: -ab05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1244110?\nAnswer: 1244110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 207279*g + 34. Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*o - 39, 141*o - 146*o = -p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2150290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n**3 - 684*n**2 + 1091*n + 9282. Calculate q(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.93 - 1.98. Which is the smallest value? (a) 4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2347.6806 minutes to hours.\nAnswer: 39.12801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/80)\/((-1)\/(-10)). Find the common denominator of 93\/(-63) + d\/9 and 37\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 18*n - 69. Let p be x(-7). Solve -8 = p*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51754479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 16. Let j = b + -40. Let h = -27.1 - j. Which is smaller: 5\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2439 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose 0 = -2*j + w + 12. Solve 0 = -u - u + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -0.5 (c) 4 (d) -5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -44*n**2 - 11*n + 19. Let i(r) = -9*r**2 - 2*r + 4. Let b(z) = 22*i(z) - 4*t(z). What is the derivative of b(g) wrt g?\nAnswer: -44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14087 times 23.02\nAnswer: 324282.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 41740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22642554 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 1442 + 1442.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -213, 7, -4, 3, 9 in descending order.\nAnswer: 9, 7, 3, -1, -4, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - (-11 - 217))\/((-2)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-13)*j**16*j)\/(j*j*j*j**(1\/2)*j*j*j*j*j**10) assuming j is positive.\nAnswer: j**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5777545691.47 + -0.2.\nAnswer: -5777545691.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1200 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 15, 47, 91?\n\"Answer: 6*b**2 + 2*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 11. Let s = d - -32. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 11*a**2 - 10*a - 7. Let t be m(-10). Let s = -4 + t. Let c = -8 - s. Solve c*h + 22 = -0*h - 5*g, h + 8 = -2*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48035 + -62?\nAnswer: 47973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(20\/(-15)) + 6386 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, a: 1, c: 2}. Give prob of sequence du.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -404353548544*m**3 - 404284872640*m**2 + 68672988*m - 2916 = 0.\nAnswer: -1, 27\/317944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-4))\/((33\/(-42))\/(-11)). Let z(b) = -b**3 + 13*b**2 + 15*b - 2. What is the lowest common multiple of z(s) and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*q - 56 = 0, -3*n + q = -23 + 61. Let f be (n\/9 + 1)*-12. Let b be (-2)\/f + 5\/(-10). Is b smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5566*s - 5860*s - 4410 = 0 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8 - 3*x**2 - 4*x**3 - 3*x**3 + 12*x**2 + 8*x**3 - 11*x. What are the prime factors of p(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -17561?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:02 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 169 = l, 4*l = 3*l - p + 184. Is l a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = -a. Let q(d) = -d**3 - 11*d**2 - 12*d - 3. What is the units digit of q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = 7*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) 5 (c) 17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + f5?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 2*x + 2. Let o be p(-1). List the prime factors of (o + -2 + -3)*-27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/195 and -32\/1711645?\nAnswer: 5134935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77969414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 26*u - 1. Let y be i(-26). List the prime factors of 15\/((-150)\/(-3380)) - y*1.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 9 = 2*a + k, -3*a - 3*k = -15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 685059351 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/100 + (-133)\/210.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19608 (base 13) in base 9?\nAnswer: -74630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -64.98144?\nAnswer: -324.9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 94*l - 2127. Calculate z(-32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + -23625?\nAnswer: -23659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -28. Find the common denominator of 9\/4 and i\/(-75)*(-25)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3475418, -27803499, -93836862, -222428147, -434429994?\nAnswer: -750695043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 28 + 5*v + (-1 + 0 + 3)*(-4*v + 10*v - 7*v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7635.\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**8\/1848 - 2*f**7\/1155 + f**6\/110 + 2*f**5\/165 - 13*f**4\/132 + 2*f**3\/11 + f**2 + 39*f. Let n(k) = 0. Calculate k.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 7 - 7*p - 5\/3*p**3 - 1\/4*p**4 - 9\/2*p**2. Let r be y(-3). Solve 0*x = -r*x - 5*b + 21, 5*x + b - 18 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 616592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6433714 centuries in millennia?\nAnswer: 0.06433714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(504\/16)\/9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5200))\/((sqrt(484) - (sqrt(484) - -1*sqrt(484))) + sqrt(4)) - (1*6*(-3 + sqrt(13)*-2))**2)*4.\nAnswer: -8784 - 1720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 27*w**2\/2 - 58*w + 174. Determine l so that b(l) = 0.\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h + 2871*h**3 - 59*h + 25*h + 15*h.\nAnswer: 2871*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 80 = -t, 6*t - 331 = 2*t + 3*m. Let s = 155 - t. Let p = 0 + s. What are the prime factors of p?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -37 + -29 - -21.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42.4053 and 10.\nAnswer: -32.4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 2*s**3 + 3*s**3 + 1827*s - 1838*s to the form h*s + v*s**2 + d*s**3 + w and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.02 + 0.02. Let a = c + 5. What is the smallest value in a, 1\/4, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Suppose 2*w - 6*w - 4*g = 16, 8 = -4*w - 2*g. Suppose -3*z + 63 = -5*h, -3*z + n*z + 2*h + 72 = w. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107.24 - 0.24. Let n = -107.016 + w. Let m = n - -0.116. Which is bigger: m or -40?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 4?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 20 = d, -4*o - d = -2*d - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/2628 + -59435\/349524. Let w = -7\/57 - z. Find the common denominator of -86\/15 and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.86 - -0.06. Sort -1, -0.2, h in increasing order.\nAnswer: h, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 16 = -4*y, 87*o - 91*o + 56 = -5*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*z = -3*z + 828, -2*q + 4*z = -436. Let s = -150 + q. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1238951 and 32.7?\nAnswer: 1238918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181 - -184. Let i = 0.013 - 2.013. What is the nearest to i in 0, -5, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2374, -2368, -2362, -2356, -2350, -2344?\nAnswer: -2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 78 = 17*o. Suppose 0*z - c - 50 = -5*z, -o*z + 50 = 4*c. Do z and 10 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x**2. Calculate m(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 15*m**2 - 3*m**2)*(2*m**2 - 1 + 1)*(90*m - 24*m - 23*m).\nAnswer: 860*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794362329 to the nearest integer?\nAnswer: 28184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -194, -235, -274, -311, -346?\n\"Answer: h**2 - 44*h - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 463\/20 - -27\/20. Solve y*r**3 + 14*r**2 + 2*r + 0 = 0 for r.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150870137 rounded to five decimal places?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2049752 + y**2 + y**3 - 2*y**3 - 12849752. Let z be s(0). What is z rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*l - 3 = 0, -5*g - 3*l = -3*g + 1. Let h = -159 - -162. Solve h*w - 5*i = -13, -19 + g = -2*w - 2*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = 4*u, 0 = 4*u + 4*v + 4. Which is the closest to -0.1? (a) 2\/37 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawjwjwaaaaa. What is prob of sequence aj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-2)\/((sqrt(48)\/sqrt(3))\/sqrt(4)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1710)\/(-950)*2\/(-18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 13*h**2 + 2*h + 40. Let s be j(7). Suppose s*g = g + 60. Calculate the smallest common multiple of 18 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -37\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 36 = 4*o + 209, 2*j = 5*o + 161. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32387757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*r = -8*j - 440, 2*j + 3*r + 238 = 0. Which is smaller: j or -111?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-3) + (14 - 8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:01 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 21. Let p be (-22)\/x - 6\/(-9). Let g = 1.2 + -0.8. Which is the nearest to -2\/5? (a) p (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 617*c**3 - c**2 - 47*c + 75. Let z be p(-25). What is z rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q + 36602 - 36602.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6474860 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.8 - -485.16?\nAnswer: 403.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288 or 299?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 11*p + 7*p + 4*p + 2*p**2.\nAnswer: 2*p**2 + 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 735*b**3 - b**2 + 3*b**6 + 8*b**4 - 735*b**3 - 35*b wrt b?\nAnswer: 360*b**3 + 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 29 = -5*d, -8*w - 36 = -294*d + 298*d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 69 (b) -0.2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -300*r - 29. Suppose 3*i + 4*d = 4 + 19, -i - 9 = -2*d. Let c be -13 - i*(-4 + 3). Is n(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 5*o**2 - 2*o - 1. Let h be s(-4). Suppose -3*l = 8 - h, -4*l + 1 = -p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 7*c + 10. Let s be ((-16)\/(-10))\/((66\/(-55))\/3). Determine n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28182579.\nAnswer: 3, 199, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -8\/5, -0.2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14467 - 7643 = -131*z - 29053 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 333438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1875*p + 1920. Let a(r) = -375*r - 385. Let z(x) = -24*a(x) - 5*y(x). What is the first derivative of z(t) wrt t?\nAnswer: -375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5977926 and 6974247?\nAnswer: 41845482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, t: 1, f: 1, o: 2, m: 2}. What is prob of sequence tof?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-80))\/(1\/12)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345*g**5 + 0 + 1 + 753*g**5 + 2*g - 350*g**5 wrt g.\nAnswer: 1160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*d + 34 = 10, -19 = 2*u + 5*d. Suppose 0*t + u*s = t + 6, 4*t + 3 = 5*s. Which is smaller: t or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 21, 16, 11?\n\"Answer: -5*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(28)*-1 + -4 - (sqrt(28) - 3*sqrt(3388))))**2.\nAnswer: -1984*sqrt(7) + 107696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i + 4. Calculate the smallest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 350981798, 350981791, 350981784, 350981777?\n\"Answer: -7*n + 350981805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3215, 3179, 3097, 2951, 2723, 2395, 1949?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2\/2 - 13*s + 6. Let u = 118 + -124. Let g be d(u). Let c(w) = w + 3. Calculate c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1449000 and 18648.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22274 - -22289. Which is the closest to -44? (a) 0.2 (b) -1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36930 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 4 + (-2 - -3). Sort -1, m, 30.\nAnswer: m, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 4*d**3 + 2*d**2 + 7*d**3 + 4*d - 26 as m*d**3 + x + i*d + y*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2826*s + 7030*s + 830*s in the form r*s + f and give r.\nAnswer: 10686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 28 = 2*v, -2*v - w = 20. Let b(k) = -1. Let d(t) = -14*t + 2. Let u(o) = -3*b(o) + d(o). Let h(m) = -5*m + 2. What is v*h(i) + 3*u(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*s**3 - 2669*s**3 - 3717*s**3.\nAnswer: -7202*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4*r**2 + 6*r + 7. Let x be z(-5). Let m(o) = -2*o**2 + 2*o + 3*o**x + 6 + 1. Does 13 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816228415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45418719*g**2 + 2 - 2.\nAnswer: 45418719*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1170.49 or -2\/13?\nAnswer: 1170.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-85)\/5100*2140\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x)*(-2*x**2 - 2*x**2 + 6*x**2) - x**3 - x**3 - x**3 - 968*x**2 + 968*x**2 - 62*x**3.\nAnswer: -67*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23027 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 46. Let m(u) = 4*u - 23. Let q(x) = -3*b(x) + 5*m(x). Calculate the remainder when 43 is divided by q(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2948390 and 91478?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 216640072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfjpjlpkfj. Give prob of picking 2 l and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 271317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11547477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48651 - -100438. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o - 311*o + 28 - 25 - 99*o in the form f*o + i and give f.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - 8112*v**2 + 8093*v**2 - v as k*v**2 + p + g*v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 56 + 60 = 3*n + 125, 2*s - 15*n - 114 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.139 - 0.098. Round f to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6140 and 3922232?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + 0. Let q = -3.07 + 0.07. Let g = -1321172 - -1321171.8. Which is the nearest to -0.1? (a) q (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17 - 85 = 4*o, 3*o = -n - 76. Let k = -15 - o. Let t(r) = 7*r - 6. What are the prime factors of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -726 + 732. Let y(h) = -h**3 + 5*h**2 + 9*h + 1. Let n(v) = -v - 1. Let s(b) = -2*n(b) - y(b). Give s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945825 is divided by 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9055, 0.07, 2\/15, 2 in decreasing order.\nAnswer: 2, 2\/15, 0.07, -3, -9055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 439*s. Let y(o) = o**2 + 37*o. Calculate y(m(r)).\nAnswer: 192721*r**2 + 16243*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 + l**2)*(2*l - 8*l**2 - 8*l + 8*l).\nAnswer: 16*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 1. Let s(p) = -6*p - 1. Let c(o) = -o**3 + 103*o**2 - 202*o + 6. Let v be c(101). Give v*s(r) + 5*u(r).\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*3 - (-2 + 0). Suppose 0 = 4*s - 2*s - o. Suppose s + 1 = 2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-45)\/(-105))\/(2\/28*2). Let z be -8 + 2 + f - 2. Let m = -3 + 1. Sort m, z, 4 in descending order.\nAnswer: 4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18960 and 101\/29871480.\nAnswer: 59742960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41812, -83634, -125438, -167218, -208968, -250682?\nAnswer: -292354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrooorrrrr. Give prob of picking 2 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4*a*a)\/a*a*(a\/a**(-6))\/a*(a*a**(-1))\/(((a\/a**3)\/a)\/a))**11 assuming a is positive.\nAnswer: a**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658989*i**2 + 5*i + i**3 + 3*i - 658989*i**2.\nAnswer: i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2 = 3*b + 5*u, 3*b + 6 = 3*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 4*g**3\/3 + 7*g**2\/2 - 3*g + 21. Suppose -12*u = -15*u + 12. Is d(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 2. Let r be m(8). Is (-3)\/(2 + (-15)\/r) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - v + 2. Let o be m(-2). What is the units digit of o\/26 - 82\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -248, -949, -2118, -3755, -5860?\n\"Answer: -234*w**2 + w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 4*u + 4. Let p be o(-3). Suppose -2*r + p + 39 = -4*l, 4*r - 105 = -3*l. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - w. Suppose m + o - 10 = w, -5 = 5*m - 2*o - 20. Solve q = 2*x + 8, 0*x + m*q - 19 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301551?\nAnswer: 3, 100517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 972 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -p - 88, i = 3*i + p - 38. Suppose -i*k - 12 = -27*k. Suppose -k*b - 730 = -2*d - 6*b, -2*d + 750 = -b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.84 - -3.84. What is the third smallest value in -0.5, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003066369 rounded to 7 decimal places?\nAnswer: 0.0003066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -3, 2\/101, -1\/9 in descending order.\nAnswer: 2\/101, -1\/9, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120\/(-70)*(-15)\/(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 47 - 17. Find the first derivative of 5 + 0*d - 2 + w*d - 4*d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.9 + -57. What is the second smallest value in 0.3, 5\/3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -311767*r*z**4 + 6*r*z - 887930*r + 2*z**4 + 3 wrt z.\nAnswer: -1247068*r*z**3 + 6*r + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -862 - -1211. Let u = o - 347. Let r be ((-8)\/6)\/(-45 + 3). Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909652821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-20))\/((-1)\/(-4)). Let x be (40\/(-120))\/(1\/a). Sort 15, -0.06, -0.5, x in increasing order.\nAnswer: -0.5, -0.06, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33835)\/47369*(-8)\/10 + (1042\/(-14))\/(-1).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -900774551 divided by 21970111?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 + 2*l + 5. Let o be w(-4). Let y(c) = 2 - 4*c**2 + 3*c**2 - 1 - 4*c. Give y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1\/6*u**2 - 1\/3*u - 1\/6 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2. Let z(k) = 331*k. Give z(p(m)).\nAnswer: -1324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 12:29 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*o**2*y + m**3*o - 8*m**3*y**3 + m**3*y**2 + m*o**2*y**3 + 5*o**2*y**3 - 15*o*y**3 wrt o?\nAnswer: 2*m**3*y + 2*m*y**3 + 10*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*m + 100*m + 3*m**3 - 4*m**2 - m**3 + 34*m + 3*m**2 + 1 to n*m**2 + x*m**3 + j + c*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.769 and 0.2?\nAnswer: 3.9538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.077 rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9 - o**2 + 0 + 4*o**2 - 3*o + 9*o. Let j be d(-9). Suppose 9*z + j = 12*z. Calculate the greatest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 463\/6 - 77. Let y be 1*(-152)\/20 + 7. Which is the second smallest value? (a) y (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 259311?\nAnswer: 259311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(43 - 17 + 9)*(1 - 2*m - 1).\nAnswer: -70*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d0 + -4cd?\nAnswer: -6bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 9\/((-126)\/4). Let h be ((-2)\/(-6))\/((-16)\/(-6) + -3). Sort s, -35, h.\nAnswer: -35, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 + -0.08. Let w = 3 + -3.03. Let t = -0.03 - w. Which is the nearest to -2? (a) t (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = i. Solve -i*a = -3*k + 9, -16 = -k + 6*k + 2*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.9 or 90853?\nAnswer: 90853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z - 47*z + 8*n = -14, 4*n + 10 = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let u(w) = -41694*w. What is u(a(l))?\nAnswer: 41694*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 0.2. Let o = 0.51 - m. Which is the biggest value? (a) 4 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 38 + -19 + 87?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -425*f + 538*f + 3277 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 17*z + 46. What is k(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 748412 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2774 and 589.37963.\nAnswer: 3363.37963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 4*z**5\/3 - z**4\/12 - z**3\/6 - 3*z**2. Let o be n(-1). What is the highest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1782 - 1801.39. Let i = -0.39 - p. What is the third biggest value in -1\/7, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 48*g + 38. Let k(p) = -10*p**2 + 17*p. What is k(u(i))?\nAnswer: -23040*i**2 - 35664*i - 13794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let i(j) = 20*j + 20. Let v(a) = i(a) + 30*k(a). Let r be v(-7). Let n = r + -37. Calculate the highest common divisor of n and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24064 is divided by 22941?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58957.\nAnswer: 19, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2 = 4*l, 3*l - 3*h - 2*h - 4 = 0. Which is the nearest to 0.41? (a) l (b) -1\/7 (c) -0.2 (d) -0.055\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3697*l**3 + 0 - 3682*l**3 - 4. Let w(s) = -31*s**3 + 9. Determine -7*r(v) - 3*w(v).\nAnswer: -12*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/7 + (-279)\/868. Does -159 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*y - 952 = 0, -645 = -4*a - 5*y + 1286. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(85) - (sqrt(85)*4 + sqrt(85))) + sqrt(85) + sqrt(85))\/((sqrt(135)\/sqrt(3))\/sqrt(9)) + -2.\nAnswer: -14*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2380*y**4 - 102364*y**3 + 655532*y**2 + 10405900*y - 105000 = 0.\nAnswer: -7, 6\/595, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + 2)*-3 - -5*(sqrt(1700) + 2 - sqrt(1700))) + (3 + sqrt(1700)*-1 - (-1 + -1 + sqrt(1700))))**2*2.\nAnswer: -1800*sqrt(17) + 85162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 35. Let c be x(-7). Let n = 15 + c. Solve 5*u - n*u = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14237952 a multiple of 2759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*s = 0, -7*t - 5*s - 4 = -6*t. Which is the nearest to 1? (a) -2\/7 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10655)\/(-50) - (-4)\/(-40). Suppose -12 + r = -y. Round y to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 - 4323*s\/2.\nAnswer: -3*s*(s + 2882)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 4826*g - 4849*g - 216 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/50 + 11*d**4\/6 - 244*d**3\/15 - 60*d**2 + 618*d - 5. Factor l(r).\nAnswer: -2*(r - 50)*(r - 6)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*n = -n - 3, 4*x = -3*n - 9. Let s = 10 + -9.9. Let p = -0.2 + s. What is the smallest value in 1\/2, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 186. Let q(o) = 6*o - 552. Determine -20*g(x) - 6*q(x).\nAnswer: 4*x - 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.7029692 to 1 dp.\nAnswer: 27.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -102 + 0 + (-2 - 51) + -392 + 437\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1 - w + 4*w - 5*w. Let u = 139 + -145. Let x be (31\/u - 3\/(-18)) + 10. Calculate n(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1341 - 1341. Let x be 2 - (0 + 12\/(-2)). Suppose x*k - 2*k - 16602 = b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 - 7) + -1 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*p - 26676 = 118*p + 327*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -179\/5462701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -182132874 divided by 12089\nAnswer: -15066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 5, 7?\n\"Answer: 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 + 364*j**2 + 6684*j + 16884 = 0.\nAnswer: -67, -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 10. Suppose 3*k - b = 109, -4*k + 2*b = y*b - 167. Suppose -3 + k = 5*j + 5*w, j = 5*w + 31. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 78693440*c - 309632874951680 = 0. Calculate c.\nAnswer: 7869344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1312 and 43296.\nAnswer: 43296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40004\/185 or -2\/17?\nAnswer: 40004\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - 114\/(-7). Suppose 50 + m = 11*b. Solve -8*t + b*t - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/18 + 0 + 42348\/72. Suppose 0*z + 3*z - l = -3*k, -588 = -3*z - 4*k. Suppose 10*v = 17*v - z. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4320 = 4*o, -4*o + v - 4288 = 5*v. Let b = -1074 - o. What is k in -14\/3*k + b - 2\/3*k**3 + 10\/3*k**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/3))\/((b*b*b**(-2))\/b*b))**(-9\/4)\/((b**(-3\/5)\/b**(2\/17))\/(b*b**(1\/7)*((b\/b**(-1\/5))\/b)\/b)) assuming b is positive.\nAnswer: b**(739\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/6)\/3)\/(4 + 9 - 5)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*z**3 - 1518*z**2 + 68194*z wrt z?\nAnswer: 84*z - 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - 6*l**2 - 8*l - 3. Let p(u) = -5*u**3 - 23*u + 15*u**3 - 17*u**2 + u**3 - 8. Calculate -6*p(g) + 17*z(g).\nAnswer: 2*g**3 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240490 + 240622.071. Let h = 132 - o. What is h rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from esdllvi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.22 - 17.32. What is the closest to 2\/5 in -2\/25, o, 1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3046 + 4191. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 2235*m + 2230.\nAnswer: 5*(m - 446)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6*p + 3. Calculate the remainder when l(4) is divided by 0 - (3 + 1)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let f be u(-2). Let j be 0 - (f - (1 + 1)). Calculate the remainder when 10\/j*(-2)\/(-1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/108*-6)\/((-2)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.97 (c) -1 (d) 0 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152\/26 + (-32)\/(-208). Is 1\/((f\/(-3168))\/(-1)) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -573, -805, -1013, -1197, -1357, -1493?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/4 - 0)*(1 - 3). Suppose 2*z + l - 16 = -d, 3*z - 9 = 0. Solve -d*t - 6 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6\/7*n**3 + 2\/7*n**4 - 2\/7*n**2 + 2\/7*n**5 + 0 + 4\/7*n = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243374, -2486746, -3730118?\nAnswer: -4973490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329604866 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 20*i - 17. Let z be h(5). Let g = z + -42. Let w = -37 + g. Solve 6*f - w*f + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 339, 638, 1065, 1686, 2567?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 1.2. Let p be (18\/(-16))\/(2\/(-520)*-5). Let r = p + 59. Which is the smallest value? (a) y (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -2\/7845?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Let b(h) = -5*h - h - h + c*h. Is b(-5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 26*d**2 + 321*d + 1029. Give z(-4).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -44\/53 (c) 0.07 (d) -4\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-6 - -3) + -44). Let i = u + -1694\/9. Let w(t) = 2*t - 57. Let y be w(30). Which is the biggest value? (a) 0.4 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s*s**(-1\/4))\/(((s**(-8)*s)\/s)\/s**(6\/5)) assuming s is positive.\nAnswer: s**(199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 940 and 102695?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3 + 5*m**2 + 5 - 3 - 2*m - 2*m. Let i = 22 + -19. Suppose 3*k = -12, i*z + 2*z - 2*k + 7 = 0. Let w(j) = j**2 - j + 1. What is z*w(v) + t(v)?\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.36 + -4.08. Let p = q - -9.899. Let v = p + 0.54100277. What is v rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:27 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (-38 + 19 - ((-8 - 2) + -87)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188f - a2b?\nAnswer: -22ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3757933.\nAnswer: 3757933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.29 (b) 10 (c) -2 (d) 98 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.66 - 5.26. Which is the nearest to 1? (a) h (b) 0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 12*o**2 + 4*o - 43. Let k be n(12). Find the third derivative of 426*r**2 - 108*r**5 - k + 6 - 340*r**2 wrt r.\nAnswer: -6480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-3))\/(15\/(-6)). Let n be ((-2)\/(-3))\/((-4)\/30). What is the third biggest value in n, 3\/7, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 14. Let q(b) = -1. Let o(r) = d(r) - 6*q(r). Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.97 + 0.03. Let h = d + -4. Which is the closest to 1? (a) 3 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/8)*m**(-3\/13)*m**(-10\/11)\/((m*m\/(m\/(m**(23\/4)*m)))\/m) assuming m is positive.\nAnswer: m**(-8311\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {a: 5, k: 1, c: 5, w: 1}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.8 (b) -2 (c) 2 (d) -862\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -c19da4 (base 15) to base 5\nAnswer: -4323242304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 7*k**2\/2 - 2*k + 11. Let w(p) = 5*p - 2. Let d(b) = 3*j(b) - 4*w(b). Calculate d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.84636ng in grams?\nAnswer: 0.00000009684636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(3 + 10 + (-38)\/3). Let o = 0 + -0.1. Let b = -0.1 - o. What is the closest to b in 2, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -27*c**3 - 7*c**2 + 68*c + 7. Let y(u) = 18*u**3 + 5*u**2 - 45*u - 5. Let m(x) = -5*a(x) - 7*y(x). Find the second derivative of m(b) wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 157.6 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 356*q**2 - 4*q + 21. Is z(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 17. Let c be s(-6). Let l = 421 - 406. Calculate the greatest common factor of l and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(7 - 6\/2). Suppose -p = x - 6. Let v(t) = 7*t**3 - t**2 + 5. Let w(u) be the first derivative of 3*u**4\/4 + 2*u + 6. Calculate x*v(h) - 5*w(h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -1) - (-144)\/(-64)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:42 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12786 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 377884, 377918, 377940, 377944, 377924, 377874, 377788?\n\"Answer: -v**3 + 41*v + 377844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377455 and 14476851?\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 + 225*p**4 + 2330*p**3 - 2790*p**2 - 2335*p + 2565 = 0. What is p?\nAnswer: -27, -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -747*k - 1573*k - 148*k - 69*k as a + j*k and give j.\nAnswer: -2537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2627 or -2570?\nAnswer: -2627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = p - 13, -3*l + 121 = 4*p - 0*p. Let c = p + -30. Suppose 5*a - 10 = 3*a. What is the closest to -3 in a, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28685 + 28675. Let v(d) = -d**3 - 6*d**2 - 3*d - 1. Let h be v(-5). Are i and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + g = 1, x - 8*g + 11*g - 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*u + 509*u**2 - 511*u**2 + 763*u.\nAnswer: -2*u**2 + 904*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*h*m**3 - 2*h*m + 247*h wrt m?\nAnswer: 207*h*m**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 - 6*u - 1. Suppose -j - 5*f + 23 = -3*j, -5*f = -25. Let m be 28\/(-6) + j\/(-3). Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 2}. Give prob of picking 1 w and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*t**4 + 377*t**4 - 5*t + 4*t - 10 + 4*t**2 as n + u*t**3 + f*t + s*t**4 + c*t**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 33.38. Let b = u + 0.18. Let y = b - -0.1654. Round y to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.71 - -35.81. Let r be (-2)\/(-4) + 17\/(-2). Let x be (-6)\/(-8)*32\/(-36). Put r, u, x in descending order.\nAnswer: u, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**2 + 48*c**5 - 3913*c - 422*c**3 - 422*c**3 + 321*c - 8*c**2 + 842*c**3 wrt c?\nAnswer: 960*c**3 - 12*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48043.\nAnswer: 107, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1347276 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 8. Suppose 2*k - 3 = 7. Suppose 4*i - k*w = 2*i - 21, -w = -5. Solve -2*y - n = 0, i*n = -m*y + y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 15\/2*r**2 + 1\/3*r**3 + 9 + 11*r. Is d(-17) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48632 - 48630. Let f be (2 - 0)*3\/2. Solve 0 = -f*q + 12, k*q + q = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*q + 323*q + 277*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72282103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-672)\/(-70) - 10)*(-50)\/15. Let -f*o + 2\/9*o**2 - 14\/9 = 0. Calculate o.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191310147 + -4.5\nAnswer: 191310142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i - 3. Let y be l(2). Does 16 divide (-1 + -1)\/((55\/(-160))\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3 + 9144*x**2 + 412160*x = 0?\nAnswer: -2240, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -23*z**4 + 10*z**2. Let o = 7 - 9. Let h(p) = 46*p**4 - 21*p**2. Let u(x) = o*h(x) - 5*s(x). What is the third derivative of u(m) wrt m?\nAnswer: 552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, e: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60884190893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:04 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(300))\/sqrt(6).\nAnswer: -5*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/3991 - -147307\/287352. Calculate the common denominator of -37\/12 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4477094573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 380 = -0*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 2*q - 7. Let y be g(3). Let f = -14\/15 + -1417\/105. Let m = y + f. Are -1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.076 in 15190\/3, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-11284240.\nAnswer: -146695120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 60?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 at most 8074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let b(q) = -q**2 + 6*q - 8. Suppose -10 + 6 = -u. Let p be b(u). What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 2, a: 4, z: 9}. Give prob of picking 1 n and 1 u.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-155)\/(-62)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8658 is divided by 579.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i + 3. Let l be d(-6). Let q = -1199\/65 + 83\/5. Is q >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/41))**(-2\/7)*o**(-2\/17)\/o*o**13 assuming o is positive.\nAnswer: o**(57940\/4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.992954m?\nAnswer: 992.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13333\/1240 + -19\/155. Find the common denominator of -36 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1890 and -121\/32876820.\nAnswer: 230137740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8397226?\nAnswer: 2, 79, 53147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444464301?\nAnswer: 3, 709, 208963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 7*k + 8. Let o(s) = 2*s**3 + 6*s - 7. Let r be 297\/44 - 1\/(-4). What is r*o(y) + 6*i(y)?\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713.6 - -85.4. Let t = 799.4 - q. Which is the second smallest value? (a) -1\/3 (b) t (c) 11.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/155)\/(35262\/(-6530))?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 56*q**2 + 249*q - 4369. Determine s(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 115\/30 - -4 - 150945\/(-2610).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1.88 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 181*t + 181*t - 8*t**2 - 18*t**3 - 4 to the form b*t**2 + a*t + j + r*t**3 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9239\/1840 + -24\/115. Find the common denominator of 4\/(-14) + 6936\/1344 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 25 = -3*r. Solve r*l + 3*w = 3*l + 13, 0 = -4*l + 5*w - 29 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10 = 11432*y - 11435*y, d - 5 = -5*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Let n be 188*5*(-5 + j). What is n rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfffgfzgfgzg. What is prob of sequence ggf?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0 - 15 - c**2 + 0*c**2 + 10*c. What is the units digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11330*o**3*q - 45*o**3 + 6*o**2*q + 3*o**2 - o*q - 787*o wrt o.\nAnswer: -67980*q - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + j**2 + (2 + 3 - 6)*(-5*j**2 + 2*j**2 + j**2) - 7*j**2 + j**2 + 4*j**2 + 2*j**2 + 6*j**2 + 2*j**2.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4712 and 2728.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 5:07 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4366319030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7 + 20\/168?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + -91 + -1*((-26 - -1) + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132031.822 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*l + 3 = 0, -l + 0*l - 13 = -3*g. Suppose -21 = -4*q - g. Solve -q*t - 17 = 5*j, -5*j - 2*t - 8 = -t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 10*x**2 + 11*x - 6. Calculate the least common multiple of q(9) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-36))**45*v**(-1)*v**(-31))**(-14\/11) assuming v is positive.\nAnswer: v**(23128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/848 and 113\/14.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1 - 4*f + 0 + 2*f. Let q(g) = -8*g - 4. Let r be (-23)\/7 + (-4)\/(-14). Let u(t) = -2*t + 3. Let l be u(r). Calculate l*a(d) - 2*q(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**5 - 235*q**4 + q**2 + 929 wrt q?\nAnswer: -180*q**2 - 5640*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32 and (3 - 6) + (-339)\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278892000 rounded to the nearest one million?\nAnswer: 279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/18)\/((-2)\/(-4)). Let s(f) be the second derivative of u*f**3 + 0 + 0*f**2 - 1\/18*f**4 + 1\/45*f**6 - 1\/30*f**5 - 2*f. Factor s(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/36 and (-1 - -14) + 27710\/(-4080).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1232 - 1106. What is the remainder when 880 is divided by v?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 71 and 2451741.91353?\nAnswer: 2451670.91353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 at most as big as -4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96960 - 66174. What are the prime factors of i?\nAnswer: 2, 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - 2*s + 1. Let w be v(1). Let o be (-374)\/(-4) - (-3)\/w. Is o\/(-3)*(0 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 31*d**3 + 251*d**2 - 345*d - 144.\nAnswer: -(d - 3)**2*(d + 16)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.4, -2\/11, 0.1, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2122211112120 (base 3) to base 10\nAnswer: -1413924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:29 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3\/6)\/(6\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (9 - 0)) + 10 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4599 and 5110?\nAnswer: 45990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 29237 = 3*g + 29277, -z - g + 3 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (0 - (-2)\/1). Let t = k + 7. Differentiate t + 4*h - h**4 - 2*h - 2*h with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 158. Suppose 7 + 3 = 2*n. Suppose -n*b + 204 = m. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 13994604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m - 4*m - 357 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 9*m + 5. Calculate i(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -127066 and -127066 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51694360 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(-2 + 1 + 3)*(3 + 7 + 4)*(-7*b - 5*b + 5*b) as h + z*b and give z.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(3 - 2 + 14)*(10*y + 7*y**2 - 10*y).\nAnswer: 105*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2)*4\/(-4). Suppose u = 5*q - w - 1546, -232 - 70 = -q + 2*w. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6990*o**2 + 6*o + 2. Let v be j(-2). Let d = 9650 + v. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 210, 314, 418, 522, 626?\n\"Answer: 104*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -18. Calculate the remainder when 239 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**0)**(-1\/26)\/((h**(1\/2)\/h)\/h*h*h**(-5)) assuming h is positive.\nAnswer: h**(141\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2233 (b) 3 (c) 6\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*g = -6, -8 = -3*y - 2*y + 4*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 2. Let k(f) = -5*f - 2. Let c be ((-8)\/3)\/(((-24)\/(-9))\/(-4)). Let x(z) = c*w(z) + 5*k(z). Is 4 a factor of x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**4\/4 + 7*c**3\/3 - 11*c**2\/2 - 12*c + 7. Let n be i(-8). Let b be (n\/(-10))\/(8\/(-60)). Solve 0 = 2*f + f - b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2421.865 - 0.12451\nAnswer: -2421.98951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1343340?\nAnswer: 1343335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-318)\/(-4)*(-165 - 62738\/(-381)).\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 f when four letters picked without replacement from {q: 2, f: 1, g: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*h + 26. Let p(w) = w**2 - 11*w - 1. Let t be p(11). Let d = t - h. Which is greater: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -1811*t**4\/4 - 2*t**3\/3 - 29*t**2\/2 - 30*t + 289. Find the second derivative of j(o) wrt o.\nAnswer: -10866*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 418, 837, 1256, 1675?\n\"Answer: 419*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.32 (c) 5 (d) -0.3 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(4\/9))\/z)\/(((z*z*z\/(z\/z**(-14)*z)*z)\/z)\/z))**(-3\/2))**(-4) assuming z is positive.\nAnswer: z**(244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 8287 in increasing order.\nAnswer: 2, 7, 8287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1\/5*n + 1\/5*n**3 - 2\/5*n**2 + 2\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -670 divided by -10?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 260236?\nAnswer: -260241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -336*v - 725. What is the tens digit of w(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196665 and 353997.\nAnswer: 1769985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 277*l + 15*l**2 + 233*l - 21 - 567*l. What is the remainder when 492 is divided by i(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/35)*z*z**(-2\/17) assuming z is positive.\nAnswer: z**(559\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5819.838mm?\nAnswer: 5819838000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159188, -637027, -1433418, -2548355, -3981832, -5733843?\n\"Answer: x**3 - 159282*x**2 + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999.3881 hours to milliseconds.\nAnswer: 3597797160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11\/p**(1\/10))**26 assuming p is positive.\nAnswer: p**(1417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 19*x**3\/3 + 18. Let h(i) = 2*i. Give b(h(g)).\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 7*h + 20. Let l = 182 - 172. What are the prime factors of v(l)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 34. Let k = p - -19. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412*h + 1416*h = -2*k - 26, h = -10*k - 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -17 - -28 - (-16 - -37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17737202*g**4 + g**3 + 3*g**2 + 316375101*g.\nAnswer: 212846424*g**2 + 6*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3546\/19 (b) 2 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 1\/12*p**4 - 33 + 53\/6*p**2 + 28\/9*p**3 + 26\/3*p. Determine o so that k(o) = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3208120956 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*k - 15 = 0, -5*h + 2*k + 16 = 45. Let f be (h\/4)\/(8\/64). Let a = f - -62. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 877968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103081 and 1302569?\nAnswer: 14328259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*s - 4*s, -5*o = 4*s + 27. Let p be ((-29 - 4) + o)*-2. Suppose -x + p = 3*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:41 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025905327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*p + 20 = -0*h, -2*p = -4*h + 16. Let u = h + -3. Suppose u = 6*q - q + 20. Is -4 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -24*f**3 - 15*f**2 - 150. Let o(u) = -14*u**3 - 8*u**2 - 75. Determine 7*o(l) - 4*t(l).\nAnswer: -2*l**3 + 4*l**2 + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31570000 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z - 4 = 5*s, 3*z = 3*s + 12. Solve a + 8 = -3*x, 3*a + 3*x + s*x + 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-14) + -1 - -2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7899*c**2 - 3953*c**2 - 3952*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 182 + 64 = 414 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/12 + 2*3\/(-6). Let y(d) be the second derivative of -3*d + 1\/12*d**4 + f*d**3 + 0 + 1\/2*d**2. Calculate y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + g**3 + 647*g**2 - 3*g**3 - 4 - 605*g**2.\nAnswer: -5*g**3 + 42*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = 2*l. Let s(w) = -w + 3. Let i be s(l). Suppose -4*b - i = -z, 0*b + 9 = 5*z + 3*b. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5 - 41*p**4 + 222*p**3 - 428*p**2 + 280*p = 0.\nAnswer: 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 74\/(-7))\/(84\/(-588)) is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10692 + 125*b - 10692)*(b**2 - 11 + 11).\nAnswer: 125*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (194 + -197)*92\/12. Put 1, 16, x, 2 in descending order.\nAnswer: 16, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y = 380 - 414 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5754 - 2864. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from flcfjvlfvfjjljclfjjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (39\/(-2))\/(5\/30). Suppose -45*a + 41*a - 464 = 2*t, a + 109 = -4*t. Let g = a - w. Solve 2*z + g*u = -2*u + 4, -12 = -4*z - 5*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**1\/r)\/r)\/r)**9\/(r*r**(-1\/3)*r)**(1\/3) assuming r is positive.\nAnswer: r**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4077 and 1467.9.\nAnswer: 5544.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from {p: 3, k: 2, t: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(5\/2))\/(2*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7207536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 38*m**2 + 6*m - 6. Let g = 59 - 65. Let r(u) = -76*u**2 - 12*u + 13. Let z(t) = g*r(t) - 13*h(t). What is the second derivative of z(v) wrt v?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + 7. Suppose -14*i - r = -16*i. Suppose -10*c - 76 + 56 = 0. Sort i, -5, c in increasing order.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159215129567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 47, -2\/11, -1231\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o + 642*o**2 + 12 - 7*o**2 - 2. Is v(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/5? (a) -6 (b) -0.5 (c) 0.088 (d) 0.0396\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5336607 is divided by 2659.\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Suppose 3*k + 2 = 8. Let l(b) = -8*b - k*b + 14*b. What is y(l(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98999709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 42\/5. Let t = 11472 - 11068. Suppose -q*b + 4*b = -t. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 + 3*o**5 + 6*o**5)*((1 + 1 + 0)*(-1 + 4 + 0) + 7 - 3 - 1).\nAnswer: 63*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x + 18. Suppose -2*f + 5 = -1. Suppose -s + f*s = 0. What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576924 and 22?\nAnswer: 6346164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (19 + -29 + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -24496173, -2 in descending order.\nAnswer: 1, -2, -24496173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000022056 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 287028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -301883 minus 1?\nAnswer: -301884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*r + 93. Let q be (-1)\/3 - 5\/3. Sort r, -4, q in increasing order.\nAnswer: -4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62635.\nAnswer: 5, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -444 - -601. Which is bigger: 4\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24310 + 14?\nAnswer: -242a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*h + 622 + 322, z - 224 = -5*h. Let p = -221 + z. Let u = 112 + 28. Calculate the remainder when u is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-18)*-5*(-7)\/(-1610)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21365 or -21342?\nAnswer: -21365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 15*y**2 - 17*y - 13. Let u be s(-16). Let w be (1 + -3 - u)\/(-1). What is the closest to -2 in -4, 0.4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -0.06 (c) 0.3 (d) -2 (e) -1.5065 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23420 + 23420 - 61936*s.\nAnswer: -61936*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14345*276\nAnswer: 3959220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 6. Let y = -7 - d. Let v(x) = x**2 - 3*x - 1. Give v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6772662 or -6772658?\nAnswer: -6772658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1664\/24 - 6\/9*-1. Let g = z - 65. What is the smallest common multiple of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43809215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31955 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from xexxeexexxxxe?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 16*l**2 + 25*l + 172. Give r(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1438, -3085, -5168, -7903, -11506, -16193, -22180?\nAnswer: -29683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 621428 to the power of 1\/2, to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(605) + sqrt(605)) + sqrt(605))**2 + (sqrt(5) + (sqrt(45)\/sqrt(3))\/sqrt(3))*4.\nAnswer: 8*sqrt(5) + 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 48. Let q be b(-17). Let z(p) = 4*p + 4. Determine z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -1.2. Let j = r + -1.1. Let g = -1.3 + 0.3. What is the third biggest value in -0.5, j, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*n**2 - 45*n**5 - 6*n**2 - 15*n**5 + 37*n**2 wrt n.\nAnswer: -3600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79583 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z**2 - z**2 + 10*z**2 + 9*z**2. Let g(l) = l**2. What is b(g(f))?\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {l: 5, i: 2, a: 7, z: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320000037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = a + 10, -2 - 6 = -2*j + 2*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 19*q**2 + 46*q - 488. Calculate c(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11783 > -9559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/9, -17, 1\/15, -4\/7, 66, 3\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(3*(-14)\/(-24)) + (-8)\/2. Sort t, -9, -79 in increasing order.\nAnswer: -79, -9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04690409 rounded to 4 dps?\nAnswer: -0.0469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -217*g + 14 + 86 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/4 - 5*c**3\/6 - 3*c**2 - 11*c + 98. What is z(-2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600706.5 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {p: 4, t: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 53*j + 1. Let u be q(-1). Let a = u + 61. Calculate the least common multiple of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7156263 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*10\/(-25).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 273610103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54094227 and 0.05?\nAnswer: 54094227.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*o. Suppose 17 = l + 2*q + q, 3*q = -3*l + 27. Solve -14 = l*m - o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/8*7\/63.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36072 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, -1\/5, 0.4.\nAnswer: -14, -1\/5, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*b + 1080 = -790 + 148. Calculate the smallest common multiple of b and 1258.\nAnswer: 8806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11477082 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -15*o**3 - 145*o**2\/2 - 30*o - 4. Solve j(r) = 0.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 - 12536806*t**3 + 2792*t**2 - 232*t - 2.\nAnswer: 360*t**3 - 75220836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 855 and 3421995?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16769155?\nAnswer: 5, 13, 257987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/11 (b) 2.7771 (c) -4 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 times -4?\nAnswer: -2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -19493*t + 19491*t - l, 5*l - 12 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -7. Let z = 2 - d. Let x(i) = 3*i**2 - 3*i - 5. Is x(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-14)*2\/(-10). Let p = -0.8 + 0.7. Let j = 11.59 - 11.69. Which is the nearest to p? (a) j (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v**3 - 4005*v**2 - 5988*v + 3996 = 0. Calculate v.\nAnswer: -666, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 20 - 19*q + 43*q**3 + 20*q + 32. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 + 6*g - 6. Let l be m(9). Suppose -4*c + l = -4*h, -3*c + 0*h + 31 = -2*h. Calculate the remainder when 13 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - -0.1. Suppose -5*r - 4*w - 32 = 0, -3*w + 4*w = -4*r - 19. Which is the third biggest value? (a) r (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14087 + -146?\nAnswer: -145.85913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 10. Let q(c) be the third derivative of -c**4\/3 + 1147*c**2. What is q(u(x))?\nAnswer: 16*x + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -599\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433032 - -30?\nAnswer: 1433112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263235 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2703 or 12774?\nAnswer: 12774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*m - 271*m + 11*m - 684*m in the form s + c*m and give c.\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 10. Let p be y(-6). Let 0*m**4 - 2*m**5 - 3*m**p + 4*m**5 - m**4 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 8*l**2.\nAnswer: -2*l**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.46 + 4.66. What is the smallest value in -13, v, -0.3, 0.3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/9 - (-520)\/(-468). Let i = -5.1 + 7. Let f = 0.1 + i. What is the closest to 1 in f, 6\/5, o?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 28*m + 223, 1442*j - 1438*j + 3*m + 20 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 777219 (base 13) to base 6.\nAnswer: 140155033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 389378.17 to the nearest 1000.\nAnswer: 389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/((-320)\/(-672)*6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 6*r**2 + 3*r + 4. Let k be s(3). Suppose 0*u - 4*c = -u + 24, 4*c - k = -u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from vhohveocovovhhychhh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/((-3570)\/25)*152\/20?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**2 + 12*o + 12. Let k(s) = -s**2 - s - 1. Let b(y) = -12*k(y) - t(y). Let w be b(-1). Solve -5*r + a + w*a + 21 = 0, -3*r - 3*a - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.406191 years to decades.\nAnswer: 0.5406191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 0. Let t be (p - 1)\/((-2)\/2). Let d(m) = m + 2. Let w be d(0). Which is bigger: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(190)\/(-2*sqrt(10) - sqrt(10)))**2 - sqrt(209)\/(-5*sqrt(33)\/sqrt(3)).\nAnswer: -95\/9 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, -2, 1, -23 in descending order.\nAnswer: 1, -2, -3, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-2\/7))\/u)\/u**(-1\/14))\/(u**(-2\/7))**48)\/(u*u**(3\/8)*u*u\/((u**(2\/3)\/u*u)\/u)*u)**(-30) assuming u is positive.\nAnswer: u**(619\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676274.4mm in meters?\nAnswer: 676.2744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/5 + 2*k**3\/5.\nAnswer: -2*k**3*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 21 = v. Suppose 0*i + 5*i = 465. Let w = -31 + i. What is the remainder when w is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 22. Suppose 16360*n = 16331*n + 174. Give z(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2551 and -0.855.\nAnswer: -2181.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 2. Suppose -u - 4*g - 12 - 9 = 0, u - 4*g - 11 = 0. Suppose -6*y + y = -20. Let f(t) = -3*t**2 - 3. Calculate u*j(r) + y*f(r).\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -98950511690 and -0.01.\nAnswer: -98950511690.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*g + 2*x + 9 = 136*g, -3*g - 23 = 4*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*i**6*j**2 + 9088*i**6 - 50521*i**2*j + 6*i**2 + 3*i - 2*j**2 wrt i?\nAnswer: 19800*i**3*j**2 + 1090560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 677971459*k**3*v**3 + 40*k**3*v**2 - 16*k**3*v + 2*k**3 - 15*k**2 - 26*k + 3 wrt v.\nAnswer: 4067828754*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011616555 to six decimal places.\nAnswer: 0.001162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17*h + 346. Give p(-12).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/27 + 4863\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s**3 + 57*s**3 + 47*s**3)*(12 - 6 + 28).\nAnswer: 2584*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by -8?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/24)\/((-1095)\/(-3066)) + 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + -2)\/2. Let g be -1 + (k - (1 - 0)). Let p = g - -11. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/3 - 1289*l**2\/3 + 416024*l\/3 - 414736\/3 = 0.\nAnswer: 1, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0, -15, 3, -50, 23.\nAnswer: -50, -15, 0, 3, 23, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 - (-80)\/360\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from rhmgxrjm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 207736021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v + 8. Let s be 5\/2 - (-2)\/v. Suppose s*u = -2*y + 150 - 34, -9 = -3*u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(-1 - 2*s + 1) + (71*s + 33*s + 69*s)*(-3 + 2 + 4) as f + n*s and give n.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Let t = -0.706 - -1.206. Which is the second smallest value? (a) y (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -4229, -14511, -34601, -67769, -117285?\nAnswer: -186419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 + (-1 - 2) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16171 - -13401?\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let s = g - -2. Suppose -q = -s*q. Solve -5*h - 25 = 0, q = 5*y - 4*h - 12 - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x + 5. Let j be y(4). Let v(i) = -i**2 - 7*i + 3. Let t be v(-6). Let w = 12 - t. Sort j, -4, w in decreasing order.\nAnswer: w, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2 + 48753634*g + 594229207051489 = 0.\nAnswer: -24376817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*a**4 + 14*a**3 + 2933*a**2 + 108638*a - 40 wrt a.\nAnswer: -588*a**2 + 84*a + 5866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 6*o + 25. Let a(t) = -39*t. Determine a(d(b)).\nAnswer: 39*b**2 - 234*b - 975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -67014 divided by 3?\nAnswer: -22338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/4)*o*o**(-37)*o*(o\/(o**(12\/11)*o))**(2\/45) assuming o is positive.\nAnswer: o**(-22307\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -1472, -3300, -5856, -9140?\nAnswer: -13152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i + 142. Let a(u) = -3*u - 48. What is -11*a(y) - 4*k(y)?\nAnswer: y - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/3)*s**(-24))\/(((s*s**(2\/59)*s)\/s*s)\/(s**(1\/8)*s)) assuming s is positive.\nAnswer: s**(-31967\/1416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:56 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0 + 4\/105*j**7 + 0*j + 0*j**4 + 0*j**3 - 1\/336*j**8 - 7\/120*j**6 - 18*j**2 + 0*j**5. Factor s(k).\nAnswer: -k**3*(k - 7)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let a(y) = -5551517*y. What is l(a(p))?\nAnswer: -27757585*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 3. Let p(h) be the first derivative of -2*h**3 - 4*h**2 + 8*h + 2. Let t(f) = 4*f**2 + 5*f - 5. Let y(o) = j*p(o) - 8*t(o). Factor y(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159772?\nAnswer: 2, 59, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004134 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -178, -243, -288, -307, -294, -243, -148?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0167383218 - 0.5.\nAnswer: -0.5167383218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5 - 2034*o**4 + 325635*o**3 - 641070*o**2 - 325632*o + 643104 = 0.\nAnswer: -812, -1, 1, 2, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, 313, 3852, 11449, 24454?\nAnswer: 44217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -11 - (-5 + 1 - -26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101768, -407069, -915904, -1628273, -2544176, -3663613, -4986584?\nAnswer: -6513089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1076573 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*(5 + -3). Suppose 0 = 2*q - k + 2*k + 5, -k - 11 = v*q. Let o = 4 - q. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 40. Let s(u) = -6*u - 1. Let w be s(-1). Let j = 1\/11 + 15\/77. What is the closest to -2\/3 in j, w, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 711, 2328, 5475, 10662, 18399, 29196?\nAnswer: 43563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/10))**(-9\/5) assuming l is positive.\nAnswer: l**(-63\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -11. Let r(k) = 39*k. Let o be r(1). Let b = o + x. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13140)\/(-438))\/(15\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-38))\/(15\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52663320 (base 7) in base 5?\nAnswer: -2121010301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62116259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 + 0*i**3 - 3*i**3 - i**3 - i**3 + i**3 - 2*i**3 - i + i + (-2 + 3 - 3)*(-i**3 + 0*i**3 - i**3) - 22 + i**2 - 2*i**3 + 4*i**3 + i + 29.\nAnswer: 5*i**3 + i**2 + i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-15 - 836\/(-55))\/(3\/(-5)). Which is the biggest value? (a) -5\/4 (b) -9 (c) 1\/5 (d) -0.2 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-6) + 4)*-6. Which is the nearest to -3\/8? (a) 0 (b) 2 (c) g (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 170, 138, 106, 74?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-1) + -47)*(-2)\/(-3). Let t = v + 45. Let k = -128 + 135. Solve t = 4*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a26 - 652?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**4\/12 - 5*g + 11. Let o(u) be the first derivative of a(u). Let n(k) = 3*k + 3*k - 2*k. Calculate o(n(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 30609 + 30609)*(0*f**4 - 4*f**4 + 6*f**4) - 3*f**5 + 5*f**5 - 3*f**5.\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 2*b**2)*(-195*b - 10426 + 10426).\nAnswer: -585*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 14. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 3, -456, -1\/6, 2\/15, 8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 65*m**4\/24 - 22*m**2 + 2*m + 14. Let c(o) be the first derivative of v(o). Let f(k) = -2*k. Give f(c(u)).\nAnswer: -130*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3629.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c - 0. Let m be 0 + 0\/(c + 4). Suppose 2*u + u = m. Solve u = -5*j + 33 - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 688, 695, 696, 685, 656, 603, 520, 401?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - -458662?\nAnswer: 45868b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o - 5*y + 371 = 0, -6*o + 3*y + 4 = -2*o + 13 - 2 + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/(((-924)\/(-476))\/11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3 + (-2 + 3 + 1)*(-3 + 3 + 2))*(3*d**3 - d**3 + d**3) in the form u + r*d + x*d**3 + n*d**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/104315 and 119\/40?\nAnswer: 834520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 = 162. Suppose -47 = -2*n + 3*s, -2*n + 6*n = 4*s + h. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbzh when four letters picked without replacement from {m: 1, v: 3, h: 7, b: 2, z: 2, p: 3}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + (-3 - -4 - -34) - -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*-7*(-3)\/3. Let r = b - -8. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183924543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, 23696, 3, 4, -1.\nAnswer: -1, 1, 2, 3, 4, 5, 23696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908051 is divided by 129717?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - (-44 + 16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2, 0 = y + t + 4*t + 8. Suppose -4*g + 5 = 3*b - 6*b, b - 5 = 0. Solve -g*x - 15 = -2*a + 13, -16 = y*x - 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 54*f - 29. Let l be g(14). Sort l, 1, 4\/3, 3\/2, -0.005 in ascending order.\nAnswer: l, -0.005, 1, 4\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 - 52*u - 15. Let l(k) = 8*k**3 + 2*k. Determine -l(x) + w(x).\nAnswer: -7*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 200882.5 and 0.3?\nAnswer: 200882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -16 - (13 + -5 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/82 and -91\/328.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - t + 3 + 17 = 0, -2*v + 40 = 4*t. Suppose 3*k - v = -k. Suppose -3*h + 6*p - p = 7, 5*h - k*p + 15 = 0. Which is smaller: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2)\/((-8)\/(-10)). Find the second derivative of -2*y + 0*y + y**4 + x*y wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -828544 and 206?\nAnswer: 828750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111100001110 - -100?\nAnswer: -1010111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 325, 0, -1 in increasing order.\nAnswer: -5, -4, -2, -1, 0, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136.900001369 - -136.9. Round i to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114292829 + -114292834.40000122. Let k = c - -5.4. What is k rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36.6 from -43.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -205, -467, -833?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1170206 less than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1265192367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 424*u + 6053. Calculate the remainder when t(-11) is divided by 111.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 10*w - 5. Solve -2*q = 4, 6*q + 33 = w*d + 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/40 + k**5\/20 + k**4\/8 - k**3\/2 + 3*k**2. Let g be m(2). Let z(i) = i**2 + 9*i - 5. Give z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*x - 3 = 0, -17*r + 14*r + 38 = -4*x. Solve -2*y = -2*v - 8, v - 3*y + r = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/340 and 61\/3224.\nAnswer: 274040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from ykhfyh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32151*54\nAnswer: 1736154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 8*t. Let r = -19 - -26. Put t, r, 2\/9 in decreasing order.\nAnswer: r, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2. Let h(q) be the third derivative of 0*q - 32*q**2 + 0 + 0*q**3 + 5\/6*q**4. Calculate h(z(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2\/(-8) - 1421\/12)*(-1512)\/(-4032).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70692.64 minutes to microseconds.\nAnswer: 4241558400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 11*z**2 - 38*z + 15. Give n(-7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 41*r + 0 + 2\/75*r**5 - 1\/12*r**4 - 1\/300*r**6 + 2\/15*r**3 + 11*r**2. Let g(o) be the first derivative of n(o). Factor g(k).\nAnswer: -2*(k - 2)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*x + 17)*(-2*x + 3*x - 2*x)*(-1 - 1 + 1).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1059\/4 + -261. Let m = l + -1\/4. Factor -1\/2 - 2*t**3 - t + m*t**2.\nAnswer: -(t - 1)**2*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 2*c**2 + 4*c + 4. List the prime factors of n(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:40 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72227269 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.6 + -6.5. Which is bigger: -1.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -160.015\nAnswer: 640.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32548 and 618.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 2*x + 0*x)*(6*x**2 - 23*x + 23*x)*((-6 - 3 + 8)*(-1 + 0 + 2) + (-3 + 2 + 3)*(1 - 3 + 0)) in the form c*x**2 + f*x**3 + a*x + b and give f.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/2 - 8*p**3\/3 + 5*p**2\/2 + 6*p + 3. Let i be g(6). Let d = i - 110. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-112)\/(-30))\/7)\/(54\/(-45))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 a when four letters picked without replacement from lxxxnallaal?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*l = 5, 0 = -3*s + 2*s + 4*l - 10. Suppose 5*c + 18 = z - s, -25 = 2*c + 3*z. Is c < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (4 + (3 - (3 - 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - -5*sqrt(11)) + sqrt(11) + -1*(5 + sqrt(11)) + sqrt(99)\/sqrt(9)*5*3 + -2.\nAnswer: -5 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -50501?\nAnswer: -50501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979.468 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22593)\/52717 + (-834)\/14.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**4 + 37*n**3 + 178*n**2 + 334*n + 192. Let w(d) = -36*d**3 - 177*d**2 - 333*d - 192. Let a = 19 + -21. Let m(l) = a*w(l) - 3*j(l). Factor m(b).\nAnswer: -3*(b + 1)*(b + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6*r + 11*r = 2, -3*r = -3. Sort -135, 0, l, 2, -4\/7 in decreasing order.\nAnswer: 2, l, 0, -4\/7, -135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 + 13)*(2 + 1 - 1 + v)*(v + 7 - 7).\nAnswer: 22*v**2 + 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + m - 4. Let y(w) = w**3 + w**2 + 3*w + 2. Let a be y(-2). Let k be i(a). What is the common denominator of -89\/6 and (-6)\/(-21) + (-723)\/k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -u + 4 + 5, -3*i - 27 = -3*u. Let j(m) = 8 + 6 - m - u. What is j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x - 1. Let c = 4 - -3. Let u = -6 + c. Is b(u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 779285590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47717907 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((12 + 3 - 8)*(1 - 2 + 0) + 2 - 4 + 0)*(4*w - 4*w + w)*(16*w**3 + 4*w - 15*w**3 + 4*w) in the form n*w**4 + d + h*w + s*w**2 + m*w**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 989059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 m when four letters picked without replacement from vmmmv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a + 281*a + 1924 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1488415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v - 3*v - v - 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -21, -19.8, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021705 (base 10) in base 5?\nAnswer: 10310143310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzczczz. Give prob of picking 2 z and 2 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1225, -2171, -3117, -4063?\n\"Answer: -946*z - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013115869 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 - 257 + 86847*f**3 - 386369*f**3.\nAnswer: -299522*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1762992 and 157\/195888.\nAnswer: 1762992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Suppose 3*a + 7*w - 1 = 0, -1562*a + 3*w = -1565*a + 9. Put 15, g, 1, a in ascending order.\nAnswer: g, 1, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j - 6 = 0. Find the second derivative of -13*t**j + 11*t**2 + 3*t**4 + 2*t**2 - 4*t wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1730106 is divided by 215.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001721951 to 5 dps.\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 130 + 340 = 5*v, -3*r + 353 = 4*v. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - 2*s**3)*(2*s + 0*s - 6*s) + (-19 + 2*s + 19)*(-3*s**2 + s**3 + 3*s**2) + 2*s - 2*s + s**4.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*15\/(-6)*(-12)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w + 1476 = 60*w. Calculate the highest common factor of w and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17625 - 3964. List the prime factors of x.\nAnswer: 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7999827 divided by -9\nAnswer: -2666609\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5176 days to microseconds.\nAnswer: 131120640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 7*f**2 + 3*f**2 + 2*f**2 - 6*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40228?\nAnswer: 2, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*s - 6*s = -632, -4*l = 3*s - 632. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 + 7*b**3\/3 + 3*b**2 + 2*b - 18. What is l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 20430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 7*f = 60. Is 22 a factor of (396\/(-5))\/(((-3)\/f)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211\/18 + 323\/18. Calculate the common denominator of (-30)\/4 - (-9)\/12 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2992 + -59909\/20. Let z = -89632719\/109676 + 2\/27419. Let k = 804 + z. What is the common denominator of k and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/280)\/((-27)\/(-30) - 2)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+4.76\nAnswer: 4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/10593 and 41\/7?\nAnswer: 74151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 + j + 8. Let i(w) = w**3 - 4*w**2 - w - 7. Let r(a) = -6*i(a) - 5*y(a). What is the units digit of r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*b - 34, -4*x = -57*b + 62*b + 85. Factor 4\/3*o**2 + x*o + 2*o**3 + 2\/3*o**4 + 0.\nAnswer: 2*o**2*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2233 and 539.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.63 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o - 17 - 11*o - 18*o + 43*o. Suppose -2*s = -5*s + 21. What is the lowest common multiple of q(-11) and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i. Let h(z) = 26*z**2 + 143*z. Let j(w) = 6*h(w) - 143*y(w). Let k(p) = p. Let n(a) = -4*a. Let v(q) = 18*k(q) + 4*n(q). Determine v(j(c)).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1305*b + 5 - 764*b - 5 in the form l + t*b and give t.\nAnswer: -2069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - h - 4. Let l(d) = d**3 - 22*d**2 + 22*d - 19. Let x be l(21). Determine a(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -61. Let m be (66\/88)\/(d\/(-8)*2). Suppose -25*j**2 + 81*j**2 - 26*j**2 - 27*j**2 - m*j = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3453 = -3*w, -8*w + 9*w = -5*v + 1164. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -38, -54, -66, -74?\n\"Answer: 2*a**2 - 26*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(1\/8)\/(q**(-2)\/q**(2\/13)) assuming q is positive.\nAnswer: q**(211\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d. Let h(c) = -2*c**2 + 4*c - 1. Let i(f) = -f + 5. Let x be i(6). Let a(k) = x*h(k) + n(k). Let j be a(3). Are j and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + 10 - (-6 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9552 - 7.08. What is l rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/(l\/l**13))**(15\/8)*(((l**(1\/4)\/l)\/l)\/l)\/l**(-9)*l**(-2)*((l\/(l\/l**(-1)))\/l)\/l assuming l is positive.\nAnswer: l**(185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**2 + 7*u + 18. Let v(t) = 6*t**2 - 3*t - 9. Let o(j) = -3*p(j) - 5*v(j). Factor o(f).\nAnswer: 3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5)*l)**(-46))**10*(l**2*l*l\/l**(5\/2))**15 assuming l is positive.\nAnswer: l**(-2163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -708\/1337 - 8\/191. Suppose -6 = -3*a + 3*l, 0 = 5*a + 3*l + 8 - 42. Suppose z - 20 = -3*d, 0*z = -a*z - d + 30. What is the nearest to 0 in -4, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.675 * 115\nAnswer: 1342.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 292*h - 580*h + 287*h + 3*h**2 - 2*h**3 as o + t*h**3 + i*h + r*h**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/18 and 107\/25498.\nAnswer: 229482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427 (base 9) to base 15.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*35\/(630\/(-27))*-45?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose r + 5*s - 3 + 147 = 0, 668 = -a*r + s. Calculate the remainder when (-10)\/15 + r\/(-3) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 2300*k\/7 + 25058\/7.\nAnswer: 2*(k - 1139)*(k - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -20453606 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 331423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/5146560 and 68\/15.\nAnswer: 5146560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {p: 3, i: 3, g: 2}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 21154*w - 380853.\nAnswer: (w - 18)*(w + 84634)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -44*g**3 + 2*g**2 - 1. Calculate q(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 40, 23, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1864\/(-699))\/(2\/(-6)). Calculate the greatest common factor of m and 7868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12\/(p\/(p**(6\/7)*p*p)) assuming p is positive.\nAnswer: p**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 3078268557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25\/110*24\/60\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 3, 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 8*n + 22. Determine l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*m + 777*m - 28964 = -3224 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11974*y + 83788. Give k(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1221 + -329?\nAnswer: -154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.8878 smaller than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 72 = 10*g + 2 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116597*a*c**3 + 2*a*c**2 - 162*a*c + 39*a wrt c?\nAnswer: -699582*a*c + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07737456 take away -2.3?\nAnswer: 2.22262544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27509 = 2*k - 27569 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 86\/139, 3, 0.15 in ascending order.\nAnswer: 0.15, 86\/139, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 - 1 - 21059*j + 21054*j. Let a(n) = 42*n. Calculate d(a(l)).\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 151301956 divided by 2?\nAnswer: 75650978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -172, -382, -688, -1096, -1612, -2242, -2992?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351*i**5*z - 17*i**3*z - 400*i**2 - i*z - 17*z wrt i.\nAnswer: 21060*i**2*z - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5669 and -2.\nAnswer: -11338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870598 is divided by 189?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2212 = 42*c - 39*c, -4*v + 8869 = -5*c. Is v a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2633 + -120?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 17187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.66499l to millilitres.\nAnswer: 664.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 270632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 128*k - 2036. Calculate z(20).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {i: 3, x: 6, g: 2, o: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4597 at least -4498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 18730511*b + 40 = 18730507*b, 0 = 3*q - 5*b - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3949*c + 1429*c + 2518*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-400)\/600)\/(26\/(-6)). Sort 5, 36, -1\/3, -5, m in increasing order.\nAnswer: -5, -1\/3, m, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825551160?\nAnswer: 2, 3, 5, 7, 73, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ririiisrrrirri?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from ijlox.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*i + 23, 2*d + 28 = -3*i - 2*i. Let f be (-2)\/(4\/i) - -1. Let k(q) = -q**2 + 4. Calculate k(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 - 4*a + 3. Let r be c(-5). Let u(f) = -3*f**3 - f**2 - f - 2. Let n be u(r). Solve -3*j + n = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8 + 14 + 3*5243\/(-2618) and 23\/34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12270993 and 346401.\nAnswer: 404942769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-20) + (-10)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186263635 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317705337.\nAnswer: 3, 35300593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140853, -140877, -140901, -140925, -140949, -140973?\nAnswer: -140997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 180 = -12*j. Suppose -301 = -5*i - j. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+4.5996\nAnswer: 5.0996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 - -3. Let r = -4 + -9. Let i = r + 10. What is the biggest value in -0.4, i, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 508*j - 56. Let b be d(17). Round b to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 478905 and 3045.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 305*m**2 + 3. Let c(d) = -3*d**3 - 202*d**2 - 2. Give 7*c(q) + 5*v(q).\nAnswer: -q**3 + 111*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 14*s - 456 = 0. Are s and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**2 - 15*r + 3. Let a = -67 - -64. Let g(k) = -23*k**2 - 45*k + 10. Let u(j) = a*g(j) + 8*b(j). Is u(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0113 + 0.4113. Let u = 35 - 36. What is the nearest to u in 5, 3\/19, s?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001000001 (base 2) to base 11.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501656*g**2 + 5*g**3 - 6*g**3 + 501656*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q + 12 = 37*q. Put 4, 5, q, 79 in decreasing order.\nAnswer: 79, 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3b477?\nAnswer: 3b479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 + 3*k**2 - 4*k**2)*(-12*k + 104*k + 235*k) in the form u*k**3 + d*k**2 + w*k + x and give u.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21302303301 (base 4) in base 2?\nAnswer: -1001110010110011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(104\/32 + -3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/19*(-5 - -14)\/9. What is the nearest to h in -1, 0.3, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*i = -20, -1 = -4*i + 15. Let m(q) = -q**2 + 5*q - 3. What is m(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, f: 8}. Give prob of sequence dfdd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -756205.036 - -756328.03599941. Let x = 123 - p. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*c - 835 = 0, -674 - 193 = -t - 3*c. Let f = -412 + t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60\/7? (a) 1\/3 (b) 2\/3 (c) 0.4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(76)\/sqrt(4).\nAnswer: -9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1621137657.\nAnswer: 3, 83, 6510593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15882043 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 29 - (74 - (62 + 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + z**3 + 6*z**3 + 6*z**3 - z**3 - 3*z**3 + (2*z - 2*z - 2*z**2)*(-3*z + 0*z + 5*z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -4*r + 5*x - 12, 0 = -5*r + 4*x - 41. Sort 0.1, -1\/5, 6, r in ascending order.\nAnswer: r, -1\/5, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:40 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 - 427*f**2 + 1155*f - 725 = 0.\nAnswer: -145, 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let c be b(-1). Suppose 0 = c*o + 2*v - 30, -3*v = 5*o - 29 - 6. Suppose -5*x + x - 24 = -4*u, -o*u = -2*x - 20. Which is smaller: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 3*y - 10. Let k be h(2). Solve -2*j - k*z + 5*z + 6 = 0, -2*z - 9 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-1\/9))\/c**10)**(-39))**21 assuming c is positive.\nAnswer: c**6643","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-109 - -32) + 29.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8938251 divided by -141877.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -34. Let f(o) = -2*o - 107. Let g(q) = 6*q + 297. Let i(j) = -11*f(j) - 4*g(j). What is i(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w - 6. What is y(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 270*h - 35 + h**2 - 20 - 293*h. Let j be s(25). Let v(k) be the second derivative of -k**4\/12 - 5*k**3\/6 - 3*k**2 - 2*k. Calculate v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2718820.5 - 114098990.5. Let k = x + 116817882.000063. Let n = -71 + k. What is n rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -3\/4, 3\/566?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -60. Suppose -u*i = -9827 - 12283. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose -k - 3 - 1 = -t, 5*t + k = 26. Suppose -2*n - j + 0 = 16, t*j + 20 = 0. Which is the nearest to -1\/3? (a) -5 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*p + 87 = 5*t, -38 = -2*t - 2*p. Suppose 4*k + 92 - 264 = 0. Calculate the remainder when k is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*k**4*u**2 + 2*k**3*u**2 + 7*k**2*u**2 + 7*k**2 wrt k.\nAnswer: -1536*k*u**2 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 4*m**2 + 5*m**2 + (-4 + 1 + 1)*(-6 + 2 + 3)*(-2*m**2 + 0*m + 0*m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-34)\/51*18*-1195?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + 0.1. Let i = 5081 - 5076. What is the second smallest value in 2\/9, i, t, -3\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 64. Which is the nearest to -1? (a) -0.5 (b) d (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 - c. Let r(k) be the second derivative of 0*k**3 + 5*k + 0*k**2 + 1\/3*k**4 + 0. What is b(r(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1507)\/(-33) + -43 + -2 + 123032\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78\/(-65)*20\/(-6). Let u be (c\/8)\/(1\/2). Let t = -1670\/11 - -152. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 184374?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16404566 > 16404567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 21*r - 1827. Calculate the remainder when r is divided by 8\/(2\/4 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.28, -10\/3, 1, 2\/9.\nAnswer: -14, -10\/3, 2\/9, 0.28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3052.449 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 21 - 7 = 5*i + 3*i, -92 = -12*z + 8*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/14 + 6\/84*-4. Suppose 8*j - 6*j - 23 = c, 0 = -t*j - 2*c + 26. Solve -4*x + x = 3*h - j, h - 9 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1062588 and 19\/7884.\nAnswer: 9563292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -10*l**5 + 6547588*l**4 - 5358876672378*l**3\/5 + 4287085623704*l**2\/5 - 857416077128*l\/5 = 0?\nAnswer: 0, 2\/5, 327379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -52?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 9*c = -6, -c + 12 = 3*s. Solve 2*l = -r - 1, 4*l - s = -3*r - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1581, 3544, 5857, 8520, 11533?\nAnswer: 14896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 8*v**2 + 7*v - 18. Let r be f(-9). Which is smaller: -8 or r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*l - 202*l + 83*l - 3167 - 34*l.\nAnswer: -332*l - 3167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 18 - 18 + 28*r**2 to j + k*r**2 + l*r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 + -236 - (2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 16 = 5*m. Solve -3*b + 4 = -3*f - 2, -2*f = m*b - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4577279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 - 4*s**2 - 2*s + 10. Let o(p) = p**3 + p**2 + p. What is -5*o(r) - y(r)?\nAnswer: -2*r**3 - r**2 - 3*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -6*u + 3*b - 97, 4*u - 75 = -5*b. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g)**(-2\/29)*((g\/((g**3\/g)\/g)*g)\/g)**(-23) assuming g is positive.\nAnswer: g**(-2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -541741044*l**3 - 8*l**2 - 18*l + 8374 wrt l.\nAnswer: -3250446264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 8. Let u be l(-6). Let w(k) = 3*k - 40. Let y(i) = 3*i - 40. Let o(z) = 5*w(z) - 4*y(z). Let x be o(10). Is x >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 + f + 2*f - 3 + 6. Give o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 11*j + 27 = -2*o, 5 = -5*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*s**2 - 41*s**2 - 53*s**2 - 40*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31461100 by 114404.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 105, 232, 409, 636?\n\"Answer: 25*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 965*o**3 - 91*o - 34. Let s(b) = 322*b**3 - 32*b - 12. Calculate -17*s(r) + 6*v(r).\nAnswer: 316*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10786 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -5*f - 3*s, 86 + 6 = -5*f + 2*s. Let p be ((-10)\/(-18))\/(2\/f*-1). Let c(w) = 4*w - 1. Let x be c(-1). Put x, 0, -4, p in decreasing order.\nAnswer: p, 0, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5183, 10372, 15559, 20744, 25927?\n\"Answer: -a**2 + 5192*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 - 72 - 99 + 0*f**2 - 2*f**2.\nAnswer: -2*f**2 - 587","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 48, -0.28, -906, 3\/7 in decreasing order.\nAnswer: 48, 4, 3\/7, 0.4, -0.28, -906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 8841553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*3\/(-20) + (-297)\/(-5). Let a be ((-3)\/w)\/(3\/127612). Let t = 2126 + a. Find the common denominator of 8\/5 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10182 + 10181. Sort u, 0.23, -0.02, 3.\nAnswer: u, -0.02, 0.23, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*a - 14 + 22 = -16, -5*a - 6 = -33*s + 34*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 274899968.5572 and -4.\nAnswer: 274899964.5572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*2\/1*-22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -29*x**3 + 8*x - 5. Let v(k) be the third derivative of -19*k**6\/120 + 5*k**4\/24 - k**3\/2 - 73*k**2. Determine -5*r(b) + 8*v(b).\nAnswer: -7*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, y: 1, r: 1}. Give prob of sequence rlly.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*q + 7, 4*q + 3*f + 5 = 12. Let v(s) = 4*s**2 + s**3 + 233 - 236 - s - 2*s**3. What is v(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3350804 divided by 134\nAnswer: 25006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 128 = -2*z. Calculate the remainder when 93 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*n + 4*n + 77, 4*y - 240 = -5*n. Let o = n + -23. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 5*l**2 - 3*l - 1. Let u be i(-5). Suppose 32*b - 29*b - 40 = 5*f, f + 1 = 2*b. Let h = u + f. Sort 2, 0, h, -5 in descending order.\nAnswer: h, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(459) - sqrt(51)))\/((2*sqrt(36))\/sqrt(12)) + (sqrt(425) - (3 + -1*sqrt(425))) + (sqrt(425) + 1 + sqrt(425) + 3)**2.\nAnswer: 94*sqrt(17) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (366*l - 226*l + 233*l)*(3*l**4 - l**4 + 8*l**4 + (-5*l + 5*l + l**2)*(2 - 2*l**2 - 2)).\nAnswer: 2984*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 + 1376*i**3\/3 - 916*i**2.\nAnswer: -i**2*(i - 1374)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13009317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 3.18. Let s = 3 - y. Let o = -279 + 281. Which is the nearest to s? (a) -5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6100*f**3 + 24390*f**2 + 25*f + 57. Determine r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 - u**4 + 87*u**2.\nAnswer: -60*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3417080 and 200?\nAnswer: 17085400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 5. Let s be l(3). Suppose -u + 2*k + 2 = -2, s*u - 2 = -2*k. Solve 0 = -5*h + 3*p + 29, 2*h - 11 = u*p + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88446)\/(-44) - (-4 - -10). Let r(z) = 16*z**3 + z - 3. Let q be r(5). Let v = g - q. What is the common denominator of -81\/22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + 390. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3834 divided by -18.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - -17. Suppose 3*p = 5*o + k, -2*p = -p + 2*o - 41. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -7*f. Solve f*h + 1 = l, 3*l - 6 = -0*h + 3*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.9425 + -53. Let q = p + 0.06. Round q to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r. Let m(y) = 1375*y. What is d(m(n))?\nAnswer: -19250*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/7 + 25668*y\/7 + 42072844\/7 = 0. Calculate y.\nAnswer: -1546, 27214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74322371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 107*n**2 + 54*n - 105. Determine t(-54).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 284935691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107362, -107337, -107312?\n\"Answer: 25*k - 107387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqqbbqbqqqqqq. Give prob of picking 2 b and 1 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 460*z**2 + 1517*z**2 - 230*z**2 - 10*z**3 + 6*z**3 + 1 + 43*z**2 in the form w*z + q + b*z**2 + y*z**3 and give b.\nAnswer: 1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.12?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j - 48 = 25*j - 9*c, 7*j + 2*c - 36 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254035 and 20309?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 6*t**2 - 6*t - 2. Suppose -r + 3*s + 7 = -s, 0 = -5*s - 15. Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 - 5*t**2 - 8*t - 3. Let f(k) = k**3 + k**2 + k + 1. Calculate -3*f(p) - q(p).\nAnswer: p**3 + 2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1598901234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/24 + 1255*g**3\/6 + 18*g**2. Is s(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93013 divided by -11.\nAnswer: 93013\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 1 = -31 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*7\/(-2). Suppose -48 = -w*j + 3*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 761\nAnswer: 228.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*r + 3747, -2*r - 4707 = -5*t - 6*r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 22*t**2 - 3*t - 13*t**2 - 12*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1266)\/6330 - (-182)\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/18*(-9 - (-54)\/3). Which is the third biggest value? (a) p (b) -2 (c) 0.005 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-5)\/((-5)\/(-2))). Let u be 8\/(-6)*171\/(-114). Suppose -6*b - 2*q = -u*b - 2590, j*q + 6 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -83*k**5\/20 - k**4\/6 - k**3\/6 + 3*k**2\/2 - 30*k. What is the units digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 30*h - h)*(0*h**2 - 5 + 3 - h**2).\nAnswer: 24*h**3 + 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + 2*c**2 + 3*c + 3. Let x(q) = 11*q**3 - 5*q**2 - 8*q - 8. Let s(j) = 8*v(j) + 3*x(j). Let z(d) = -d - 3. Let m be z(-4). What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217\/6 + -36. Sort q, 2\/9, -4 in increasing order.\nAnswer: -4, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1003?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5842, -11679, -17516, -23353, -29190, -35027?\n\"Answer: -5837*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**6\/15 - p**5\/20 + 109*p**4\/12 - 13*p + 3. What is the third derivative of k(d) wrt d?\nAnswer: 48*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 3*n)*(-7 + 2 + 3) + 3 + n - 3 + (-1 - 5 + 4)*(2*n - 2*n + n)*(5 - 2 - 2)*(-29259 + 13690 + 13897).\nAnswer: 3339*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2188087.\nAnswer: -875234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.08193 to three decimal places.\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 - -2387.9?\nAnswer: 2627.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 624120 divided by 2972\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1525 + -1435. Suppose -33 = -5*u - 133. Let x be (u\/i + (-10)\/(-18))*0. Is -3\/58 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -33*q**2 + 8*q. Suppose -2*a = -5*z + 561, 12*z - 17*z - 5*a + 540 = 0. Let n = -108 + z. Let h(g) = -11*g**2 + 3*g. Give n*k(i) - 8*h(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 42 - 50 = 0. Suppose -j = 6*s - 23. Suppose -5*i + 12 + 3 = s, 0 = 2*k + 4*i - 314. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2137805 - 0?\nAnswer: -2137805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -64. Suppose -2*c = -0*c + t. Let q be 21\/c - 1\/(-2). Let u(k) = 2*k**2 - 1. Calculate u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**6 + 0*n**4 + 1\/15*n**3 - 3*n - 1\/25*n**5 + 0*n**2 + 0 + 1\/105*n**7. Factor p(k).\nAnswer: 2*k*(k - 1)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -724644.6 and -1010.39?\nAnswer: 723634.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7894014173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 0.063.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 207788460 a multiple of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 134, 286, 496, 764?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -504a34 (base 12) to base 16\nAnswer: -131cc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 m when three letters picked without replacement from gmmmy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -9. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025264 to 6 decimal places.\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 3, -2\/11, 5, -9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6645 and 33483061843.\nAnswer: 33483061842.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 23 - 23)*(-11 + 8 + 4*y - y).\nAnswer: 15*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38539326 by 3.\nAnswer: 12846442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3643 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4336721203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 214\/4. Suppose -n = -4*n + l. Calculate the smallest common multiple of n and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -820483*k**5 - 317695*k**2.\nAnswer: -49228980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.7, 0.5, 108, -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3887, 7777, 11677, 15593, 19531, 23497, 27497, 31537?\nAnswer: 35623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 29 = -2*z, 3*b - 8*z + 9*z = 17. Let t be 603\/(-6)*(3 - b). Suppose -t = -7*f + 219. Calculate the highest common divisor of f and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221669.\nAnswer: 7, 31667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 + 3056*u**4 + 15246*u**3 + 24376*u**2 + 12184*u = 0 for u.\nAnswer: -1523, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*b = -2*x + 18, 27 = -3*b + 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -0.3794888.\nAnswer: 0.1205112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2596139504 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-3\/4)*u))\/(u\/(u**(2\/45)\/u)) assuming u is positive.\nAnswer: u**(-217\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/4 - p**3\/6 + 79*p**2. Calculate t(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 26. Let m be f(-8). Suppose -m = 8*w - 13*w. Suppose -x = -i - w, 4*x + 5*i + 45 = 6*x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -19*h. Let p(s) = -6*s + 1. Give y(p(i)).\nAnswer: 114*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (-5 - (4 - 10))) + -1 + (9 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 + 24*y + 13 + 5 - 3 - 25.\nAnswer: 24*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 4 - (-6)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3292894 nanoseconds in days?\nAnswer: 0.0000000000000964038125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4013*d + 96 - 4015*d - 61 - 18.\nAnswer: -2*d + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 20*z**2 + 35*z - 37. Determine b(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 24*l + 20. Let b be o(-26). Let m = b + 58. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10188 and -137\/12.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1760*n. Let j(z) = z. Give f(j(u)).\nAnswer: -1760*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccdkfiiiddfcffdhdf. Give prob of picking 1 d, 1 c, 1 h, and 1 f.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Let o = -18 + 19. Let a be 1\/4 - 11\/12. Sort x, o, a in descending order.\nAnswer: x, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12536141?\nAnswer: 12536141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*1*4)\/(sqrt(22)\/(sqrt(200) - (sqrt(200) + sqrt(200)*-2))).\nAnswer: -80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4282773131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxcc when four letters picked without replacement from wlllwlxcwxxlwxxcocw?\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -6 + 10 + -6. Sort y, -7, 3, 0.\nAnswer: -7, 0, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598312423 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 3*k**2 - 2*k - 4. Let v be s(-3). Suppose 0 = u + 4*b - 30, -4*u - v = -3*b - 111. Let m be (-4)\/u - (-228)\/44. Solve -2*j = -j - m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.01173 - 5.5.\nAnswer: -9.51173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03356977 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Let m = -2.5 - -2. What is the fourth biggest value in 1\/3, d, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1\/2, 2\/27, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342641*v**3 - 342635*v**3 + 685280*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*2)\/((-4)\/4). Let j be (7 + -7)\/(4\/(-2)). Let n = j + -5. Put n, -1, h in descending order.\nAnswer: -1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:19 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -916063 or -915355?\nAnswer: -915355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u - u - u)*(-4 - 2 + 2) - 5*u - 3*u + 4*u + (0*u + u - 3*u)*(-3 - 4 + 5) - u + 3*u - u + (2 - 2 - 1)*(-1 + 1 - u))*(0 + 6 + 5).\nAnswer: 66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.2 + -3. Let v = -0.0103 + 0.2103. Which is the closest to v? (a) 1\/4 (b) -2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/4 (b) -0.72 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-24))**44 assuming l is positive.\nAnswer: l**1100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2464\nAnswer: -1\/2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054009114 to five decimal places.\nAnswer: -0.05401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3109 + 8\/(8 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 divided by -2?\nAnswer: -149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278 - 94. Let d = x - -340. What are the prime factors of d?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 11) to base 12\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 289*o - 285*o - 11, -5*a - o = -14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 2. Let b(k) = k**2 + k + 4. What is the units digit of b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5835 - 5831. Solve -3*o = -p*h - 8, 5*h = 3*o + 2*o - 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8136321 to two decimal places.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.80434 or 179?\nAnswer: 0.80434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11422 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894*y = 899*y - 730. Let n = y - 147. Sort 4, n, 12 in decreasing order.\nAnswer: 12, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**5\/7 - 110*i**4\/7 - 25236*i**3\/7 - 31390*i**2\/7 - 896*i = 0.\nAnswer: -49, -1, -1\/4, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -539, -540, -541, -542?\n\"Answer: -o - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 12) to base 15\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7 - 4 - 6 + 9*z**2. Let o(h) = -3*h**2 + 6. Let x be ((-4)\/(-4))\/((-1)\/(-1)*7\/(-119)). What is x*o(r) - 6*u(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 3*g**3 - 3*g**2 + 4*g**2 - 2*g**3 + 2*g**4 in the form d*g**3 + u*g**2 + s*g + k + o*g**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -12*a + 45. Let b(j) = 6*j - 28. Suppose -3 = -4*y + 21. Calculate the remainder when b(a) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889*x + 1890*x + 1876*x + 1885*x + 1881*x - 9425*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 4*o**2 - 23*o - 31. Let z be g(4). Solve -8 = 9*b - 12*b + z*s, 4*s = -3*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*z + 687*z = 346*z + 11280. What are the prime factors of z?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/58 - ((-756)\/24 - (-3 - -1)). Let v = 174 - -38. Suppose t*u - 25*u = v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -229*b**5\/20 + 155*b**4\/24 + b**3\/2 - 987*b**2. Find the second derivative of q(j) wrt j.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8819275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/168 and -13\/256.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55083 and 2928?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -1. Let h = -993 + 1158. Let x = 264 - h. Calculate the greatest common divisor of x and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 27*f. Is f at most -2\/213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (-23 - -89) - (-3 + (-9 - 2))) + -126\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2840820674 to the nearest integer?\nAnswer: 53299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uullolluqugluloug. What is prob of picking 1 q, 1 o, and 2 u?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124521288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144667 - -143826.406. Let h = t + 840. Round h to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 49 = -26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -7 (c) -2\/7 (d) 3\/4 (e) 1\/5 (f) 1\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -1) + 1 + -1. Suppose 3*y + r - 256 = 0, y + v*r = 42 + 40. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:22 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186.949 + 187. Let m = r - 0.151. Which is the second smallest value? (a) m (b) 329 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 115)*(175*40\/224 - 11). Solve 0 = -2337*u + q*u - 96 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/51)*f)\/(f\/(f**(-8)*f)*f))\/((f\/(f\/(f\/f**(-2)))*f)\/f)**(-7\/5))**(-4\/13) assuming f is positive.\nAnswer: f**(3916\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13875140681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 100, 119?\n\"Answer: 19*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29419*x + 69 - 69 + 29217*x.\nAnswer: -202*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (119\/(-2))\/(-7) - 3\/(-6). Let k = i - -18. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001819 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - 0.02. Let x = h + -0.3. Round x to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12) + (-15 - (90\/135 + (-1100)\/15)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*s**5\/6 - 19459*s**4\/3 + 1787405*s**3\/6 - 2968400*s**2\/3 - 389506*s - 36312 = 0. Calculate s.\nAnswer: -2\/11, 4, 51, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 8*r**2 + r - 24. Let a = -3 - -5. Suppose 0 = -o + 5, a*x + o - 111 = 4*o. Calculate the remainder when x is divided by g(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009 bigger than 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. List the prime factors of y - 2 - ((-708)\/1)\/2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.71 and -6126.518.\nAnswer: -6128.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220100 (base 3) to base 14.\nAnswer: -34d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(343))**2 - sqrt(175)*1 - ((-2*sqrt(189))\/sqrt(9))\/(sqrt(432)*-1).\nAnswer: -283*sqrt(7)\/6 + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -1\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016919606 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -258123370 rounded to the nearest one million?\nAnswer: -258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127 + 202 + 637*q**2 - 814 with respect to q.\nAnswer: 1274*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z + 3. Suppose z*w - 12 = -6. Solve -9 = t - 2*f, -15 = -6*f + w*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2085\/2 - -1043. What is the second biggest value in 87, z, -5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 4*s**3\/3 + 8*s**2 + 36*s + 4. Let g(q) = 3*q**2. What is g(p(z))?\nAnswer: 192*z**2 + 768*z + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.120301 + 1.12. What is o rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-2)\/9*48\/84?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 503 - 205. Suppose -a - 1425 = 5*n + o, n + 3*o + 339 = 0. Let m = n + 615. Round m to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/3))\/w*w*w*w**(-4))**(2\/41) assuming w is positive.\nAnswer: w**(-16\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238492 and 1744?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85056138203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 498822576 and -0.4.\nAnswer: 498822575.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5073154 is divided by 1012.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 168434807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -20 in increasing order.\nAnswer: -20, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d. Let m(q) = 13*q**2 - 12*q**2 + 0 + 0. Calculate a(m(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(2) - (6*sqrt(2) + sqrt(2))) + sqrt(288)*4 + sqrt(2) + sqrt(2)).\nAnswer: -240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9724 = 3*i, -2*i - 4*u + 6452 = -34. List the prime factors of i.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/18*9\/(-27)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 22*i + 245. What are the prime factors of m(29)?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 2, j: 1}. What is prob of sequence kjn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v**3 + 4*v**2 + 4*v + 4. Let b(q) = q**2 + q + 1. Suppose -603*s + 17 = -620*s. Give s*j(z) + 4*b(z).\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-5)\/(-140)*(-1)\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 81467, 72695, 63923?\n\"Answer: -8772*s + 90239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**(-2\/5))))\/l)\/(l**(-2\/5)\/l))**(22\/5) assuming l is positive.\nAnswer: l**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/10*p**5 + 4\/3*p**3 + 0*p**4 - 10*p**2 + 0 + 0*p. Differentiate i(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786619054641 less than -153?\nAnswer: 786619054488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(228)\/sqrt(432) - sqrt(19))**2 - (sqrt(95)\/(sqrt(20)\/sqrt(100)))**2) + -5.\nAnswer: 19295\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 671*l**3 + 25500*l**2 + 157*l + 3086. Determine u(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 80. Calculate l(22).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 60223500 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*o - 32, 4*o = u - 0*o - 14. What is the greatest common divisor of 132 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27 or 79363?\nAnswer: 79363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16151 and 3875000?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:40 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - (2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1969, 4114, 6429, 8908, 11545?\n\"Answer: -u**3 + 91*u**2 + 1879*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 = -3578*y + 3581*y, -8*f + 2*y = -24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14170 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*r - 2*r**3 + 398*r - 794*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42\/1008*(-18)\/(-5)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 45, 39, 15, -33?\n\"Answer: -x**3 + 13*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1550 - -3?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1640, -1\/2, 2.7.\nAnswer: -3, -1\/2, 2, 2.7, 1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 - 5*u**2\/6 - 14*u\/3 + 16\/3.\nAnswer: (u - 8)*(u - 1)*(u + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 20295040?\nAnswer: 20295040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 28 - 116)*(0*j + j + 0*j).\nAnswer: -181*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 1033 - 1103 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + (-126 - -104) + 100?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 913 + -821. Calculate the remainder when 109 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8 - 8. Suppose -l + 56 = 13*l. What is the tens digit of ((-22)\/l)\/(2\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3017 and 2.5.\nAnswer: -0.75425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(36\/3)*(-6)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51534 is divided by 146?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 4, 1, -6, -17, -32?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1377) - 5*(sqrt(1377) + sqrt(1377) + (sqrt(1377)*2 - sqrt(1377)) + sqrt(1377) - sqrt(1377))) + 4)**2.\nAnswer: -504*sqrt(17) + 269896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37605*k**2*m**3 - 3*k*m**3 - 9*k*m - 20*k - 2*m**3 wrt k?\nAnswer: 75210*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5 + 612*n**4 - 16788*n**3 - 255306*n**2 + 16785*n + 254694 = 0?\nAnswer: -227, -11, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f + 3*f)*(3 + 2 - 1) - 3*f + 2*f + 2*f - 2*f + 5*f - 4*f + (f - 15 + 15)*(-3 + 1 + 0) to the form v + s*f and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1223 plus -0.3?\nAnswer: -0.1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**2*p**2*t + 4*l**2*p*t + 6*l**2 - 57*l*p**3*t - 2*l*p*t wrt p?\nAnswer: -12*l**2*t - 342*l*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3461387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45675, -42951, -40227, -37503?\nAnswer: -34779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8440399 is divided by 400.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 8*p + 3. Let x be b(-9). What is the remainder when (34 - 0) + (15 - x) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + j + 23, -2*j = -4*v + 34. Suppose -v*t + t = -45. List the prime factors of (-5 + 1)\/(-2*1\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 103\/2 - (-4)\/(-8). Suppose -2*p + 5*p - a = 0. Let y = p - 13. Solve -y*w - d + 1 = 0, 3 = -0*w + 2*w + 3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let m(d) = 4 - 1 - 4 + 5 + 9*d. Let r(f) = -10*f - 5. Let a(o) = -5*m(o) - 4*r(o). Let u(t) = t. Determine n*a(g) + 11*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w*w**(-1\/3)*(w\/(w*(w*w\/(w\/(w**(1\/5)\/w)))\/w))\/w**10)**(4\/11) assuming w is positive.\nAnswer: w**(-632\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z - 26. Determine u(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, l: 1, z: 1, e: 4, d: 1, k: 1}. What is prob of sequence dekl?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0652 - 1.0672. Let f = h + 1. Let g = f - 0.788. What is g rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18000 = 78*z - 73*z. Suppose -13*i + 13844 - z = 0. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13168899, 26337808, 39506717, 52675626, 65844535, 79013444?\nAnswer: 92182353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 204106*n**3 - 23 + 14.\nAnswer: 204106*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 27*k - 33. Let a be o(-18). What is the highest common factor of 430 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695*n + 2697*n - 396 = 0. What is the highest common divisor of n and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, 2, -23 in increasing order.\nAnswer: -23, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)**46*d**(2\/3)*d**0\/d)\/(((d*d*d**(-1\/9))\/(d\/(d*d*d*d\/(d**(-5\/4)*d)*d)))\/(d**1*d*d\/((d\/(d\/(d\/(d**(-2\/17)*d))))\/d))) assuming d is positive.\nAnswer: d**(-57889\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**2 + 5*f + 5. Let w(c) = -8*c**2 + 6*c + 6. Suppose -2*a + 2 = -6. Let y be 104\/(-130)*((-90)\/a)\/(-3). What is y*s(g) + 5*w(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24755539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttzttttzzzttt. What is prob of sequence tt?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 2*s**3 + 4*s)*(-11 - 57 - 1)*(-1 + 0 + 3).\nAnswer: -276*s**3 - 138*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 10129.89?\nAnswer: -30389.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 946171, 946174, 946177, 946180, 946183, 946186?\n\"Answer: 3*r + 946168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/9)\/((-96)\/(-36) + -4). What is the nearest to 0.2 in v, -5, -6\/37, 5?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 6. Let r be 62\/(-10) + (-40)\/(-200). Let z(m) = -5*m - 7. Give r*g(v) + 5*z(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*t + 175 = 0, -2*t + 47 = o + t. What is the derivative of 61 - 27 - o - 14*a wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(4900)*-2 - ((-2*sqrt(4900) - sqrt(4900))*-5 - sqrt(4900)))*-3)\/(2*(sqrt(63)\/(sqrt(36)\/sqrt(4)) + (sqrt(21)*-2 - sqrt(21))\/sqrt(3))).\nAnswer: -180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 1575 - 609 = -168*k. Solve -5*n - 1 = 3*l, -75*l - 5*n = -76*l + k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1243 - 864. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f**3 - 7665*f**2 + 7653*f**2 - 6*f**3 - 3*f**3 + 12*f**3 - 12 + 12*f. Let p(s) = -3 + s - 2*s**3 + s**3 - s**2 + 2. Calculate o(b) - 12*p(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**4 - 21\/2*q**3 + 0*q**2 + 5*q + 31\/10*q**5 - 4. What is the second derivative of m(r) wrt r?\nAnswer: 372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 6) to base 5\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhyhyyyyy. Give prob of picking 3 y.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 13636?\nAnswer: 13639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -592*g - 741*g + 286*g - g + 5*g - 3*g + (0*g - 4*g + 6*g)*(-3 - 1 + 0) in the form s + q*g and give q.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Suppose -5 = -4*s - 1. Let g be x(s). Let l be g*4\/8*-11. Solve -4*k = -w - l, 0 = 2*k - k - w - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200111001 (base 3) in base 4?\nAnswer: 3102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013813209 to 4 dps.\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -628645.7 in -3\/2, 4, -2\/17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0 - 21*b**2 - 1\/6*b**6 + 1\/6*b**4 - 3\/20*b**5 + 0*b**3 - 276*b. What is the third derivative of j(k) wrt k?\nAnswer: -120*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852, 5108, 7278, 9362, 11360?\nAnswer: 13272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -3434555.\nAnswer: -3434553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.85 + 5.9. What is the biggest value in 3, -0.3, z, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-97)\/(-776))\/(10\/48).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 4*d + 4. Let l be i(1). Let z(n) = 6*n - 4. Let m(h) = h. Let k(b) = -5*m(b) + z(b). What are the prime factors of k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n*n**(-1)*n))\/n)\/n)\/n)**(4\/11)\/((n*n**3*n*n)\/n**15) assuming n is positive.\nAnswer: n**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Let l(a) = a**2 + 9*a + 5. Let h be l(-9). Suppose 92 = 3*f - 2*m, -5*f = h*m - k - 162. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyhqzzc. What is prob of sequence qjch?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 116 = -4*p, 0 = -4*c + 5*p - 6*p + 123. Let z = c - 32. Let r(x) = x**3 - 3*x**2 - 5*x + 2. Let a be r(4). Put z, a, 10 in decreasing order.\nAnswer: 10, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, 0.01, -9, -59, 1\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 152, 325, 498, 671?\n\"Answer: 173*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 812*c**3 - 1958466 + 1958466 + (2*c + 0*c - c)*(-4 + 2*c**2 + 4).\nAnswer: 814*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s. Let w(y) = -930*y. Give k(w(q)).\nAnswer: 15810*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzozgnz. What is prob of sequence nnzo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. What is the lowest common multiple of d and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i - 4. Let v(h) = 3*h**2 + 39687 - 2*h - 39687 - 3*h. Let j(d) = -d**2 + 2*d. Give i*v(c) - 5*j(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469.17 - -469. What is the smallest value in 1\/5, t, 14\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 18 + 8*y)*(-12*y + 7*y - 7*y)*(-3 + 3 + 2) as p*y**2 + c*y + b and give p.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.30379 * 0.1\nAnswer: -0.030379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(720) - (-2 + -2*sqrt(720) + sqrt(720)))*3)**2.\nAnswer: 1440*sqrt(5) + 26020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 30*m**3 + m**2 - 2*m**4 - 6*m**3 as n + s*m**3 + d*m + h*m**2 + k*m**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5*n - 5, 2*r = -3*r + 3*n - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15557000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -10867?\nAnswer: 3\/10867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32889 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1269424 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*h + 114 - 130 = 0, h = u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 2 t when four letters picked without replacement from llxxxxttgxtttqtg?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (20\/(-6))\/((56\/567)\/(-4)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2678\/316 + (-1044)\/(-41238)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 33*z. Let q(f) = 66*f**2 - 148. Calculate q(u(k)).\nAnswer: 71874*k**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-0.043\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + a, -4*a + 5 = 2*q - 15. Suppose 2*m - 88 = q*l, -3*m - l - 173 = -7*m. Suppose 27 + m = 5*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b + 134. Determine q(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35523, 35527, 35531, 35535?\n\"Answer: 4*u + 35519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(3\/48*-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 499 = -7491. Calculate the highest common factor of 40 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 2*f**2 - 4*f - 13. Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 5*h = 12 - 5, 0 = 4*u - 6*u - 15*h - 43 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570952 to the power of 1\/2, to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -121.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19747 - -19759. Suppose -j + 5*j = 20. Let s = j - 2. Solve s*i - 13 = -5*x, 3*i - g = -4*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 143 = -4*x + x, -4*p - 16 = 0. Calculate the remainder when 206 is divided by x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + (0 - (9 - 1)) + 6 + -93 + 92?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/81, 7, 3 in decreasing order.\nAnswer: 7, 3, -2\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1262*y + 354*y + 285*y + 391*y + 264*y + 203*y.\nAnswer: 235*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 6 = -756. Let t = 146 + j. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 232 = 14*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w = 2*a - 240, -w + 2*a + 135 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*d = -12, 5*k + d - 2 = 1. Let h = -37 + 19. Let a be (k - 0)\/(h\/(-90)). Solve 0 = -y + 2*q - 9, -a*y + 3*q - 20 = -2*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m + 1. Calculate y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 70 = -6*t. Suppose -10*y + 14 = -t*y. Factor 2\/5*n + n**y - 7\/5*n**3 + 0.\nAnswer: -n*(n - 1)*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of (5472320\/1372)\/(4\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509473 by 22151.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -297*j**3 - 8*j - 4. Let g(a) = 21978*a**3 + 594*a + 297. Determine 4*g(d) + 297*s(d).\nAnswer: -297*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*z = 1, -4*z = -4*r - 60. Let o = -11 - r. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4143\/28 + -148. Let u = -982 + 11783\/12. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let u be 5 + (4\/6)\/(1\/(-3)). What is the tens digit of (i - -14) + u + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008717 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 45. Let v = -5 + 9. Suppose v*d - 4 = 20. Calculate the remainder when t is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 120. Let u be (1 + 0)*(0 - 1). Let j = 25 + u. Calculate the greatest common divisor of c and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3971 divided by -30?\nAnswer: -3971\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.8046, 142 in decreasing order.\nAnswer: 142, 3\/7, -0.8046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9112, -9110, -9108, -9106, -9104, -9102?\n\"Answer: 2*u - 9114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 2. Let r = 27 + v. Is r smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 12*s**2 + 867*s - 1341. What is r(23)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.56 + -15.55. Let s = 0.99 + k. Let x = s - 55. Which is the closest to 0? (a) -0.07 (b) 1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58*(-15)\/(-18))\/(((-236)\/1770)\/((-12)\/75))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1617 and 57134.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - o**2 + 0*o**2 - 1132.\nAnswer: -2*o**2 - 1132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*1)\/(763\/(-872)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -7daa?\nAnswer: -7da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3963 (c) 0.5 (d) -25 (e) -2 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11222344 - 2?\nAnswer: -11222401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*t**2 - 1 + 20*t**3 + 42*t**2)*(2*t + 2*t - 5*t) in the form d + x*t**2 + l*t + q*t**3 + s*t**4 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3538\/(-84))\/(18\/(-21)). Let z = 191\/4 - y. Find the common denominator of 95\/96 and z.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqwzzzjyq. What is prob of sequence zqqw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 4)*(-5 + 3 + 6*d - d).\nAnswer: 25*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -986, -1953, -2920, -3887, -4854, -5821?\nAnswer: -6788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272900\/(-40)*2\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t - 8. Suppose 3*z = -i + 18, 2*z + 4*i - 16 = 6. Calculate w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-594))\/(15\/18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2842 divide 206351936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75006 by 3.\nAnswer: -25002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13561?\nAnswer: 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 - n**2 + 2*n - 2. Let y be a(1). Suppose 634 = -6*j + 8*j - y*t, 5*j + 4*t = 1655. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7595?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -733\/14 + 53. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3. Let h(b) be the first derivative of -5*b**4\/4 + 5*b**3\/3 - 15*b - 35. Let k(s) = h(s) + 5*v(s). Factor k(i).\nAnswer: -5*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18980 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4677, 6, -5, -17 in ascending order.\nAnswer: -17, -5, 6, 4677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 41*f**3 - 333 + 3*f**2 + 332 in the form v*f + r*f**3 + u + l*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -471*t**3 + 28*t**2 + 7*t + 7. Let r(k) = 4*k**2 + k + 1. What is -3*m(q) + 21*r(q)?\nAnswer: 1413*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1002 and 190714?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**3\/3 + 3*q**2\/2 - q - 2. Let b(a) be the first derivative of c(a). Calculate the remainder when 42 is divided by b(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*(((sqrt(72) - (sqrt(72) + -1))*4 - (1*sqrt(72)*-1 + sqrt(72))) + -1))*3 + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101bd1d (base 15) in base 14?\nAnswer: -174c22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4 - 314495*y**3 + 5*y - 314504*y**3 + 5*y**2 + 628998*y**3. Let c = 4 + 0. Suppose c = r - 2. What is s(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:30 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 7*t**2\/2 - 34*t - 7. What is the derivative of q(m) wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**3 + w**2 - 11*w - 9. Let v(a) = 6 - 5 - 3*a**3 + a + 2*a**3 - a**2. Let u(l) = -b(l) - 5*v(l). List the prime factors of u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1866635 rounded to two dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**3 + 5. Let a(l) = -13*l**3 - 4. Suppose 0 = 5*o - 3*g - 11, 2 = -o + 5*g - 9. Calculate o*u(s) + 5*a(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131409962 to 5 decimal places.\nAnswer: 0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 225 + -1477265?\nAnswer: -1477040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:01 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3539\/2 - -1770. Solve b*o**4 + 1\/2 - 2*o**3 - 2*o + 3*o**2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9\/w**(-6\/11) assuming w is positive.\nAnswer: w**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 709458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/9 (b) -1 (c) 18 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 4749708.\nAnswer: 23748540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0 - 1)*-3. Let l = 133 - 133. Put f, l, 4 in increasing order.\nAnswer: l, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - s + 34 = 0, 761*s - 766*s + 70 = 0. Let t = 2.7 + -3.09. Sort c, 0.4, t in decreasing order.\nAnswer: c, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0 + u + 0*u**3 + 1\/12*u**4 + 0*u**2. Let w(p) = 2*p - 12. Let x(f) = f - 5. Let i(n) = 5*w(n) - 12*x(n). Give i(y(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 + w**3\/3 - w**2\/2 - 8*w - 2. Let x = 6 + -6. Determine t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -593 - 214?\nAnswer: -7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = j - 1, 0*z - z = -5*j + 13. Put j, -37, 2 in increasing order.\nAnswer: -37, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -78725.\nAnswer: -2\/78725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + 0. Let o = -2.1 - x. Let j be 5 + ((-74)\/10 - -2). Put o, 4, 1\/2, j in descending order.\nAnswer: 4, 1\/2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15108.\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509926?\nAnswer: 2, 254963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/3)\/5)\/((5\/(-12))\/(66\/44))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37320756 and 87081764.\nAnswer: 261245292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 58612.\nAnswer: -1758.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 119*j**2 - 3273*j + 256. Calculate d(43).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 5. Let d(p) = -10*p - 35. Let t be d(-4). Let f(b) = 31*b + 10. Let g(j) = t*h(j) - 2*f(j). Give g(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843589 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4. Let h = 0.6423 - 0.2423. Which is the closest to -2\/7? (a) 3 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 48*k**3 - 268*k**2 + 2 - 3 + 0 + 8*k.\nAnswer: 48*k**3 - 268*k**2 + 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810721318.\nAnswer: 2, 7, 19, 37, 183979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*i - 18, -z - 3695*i = -3694*i - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 + 1576*o + 87447. Determine f(-126).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111000 - -100?\nAnswer: 10011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126515 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -28. Which is the biggest value? (a) -1\/6 (b) 12 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 85915 - 85886 = -0*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932290 rounded to the nearest 1000?\nAnswer: 1932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36042\/7 - 5136. Let z(x) = -2*x**2 + 515*x - 6816. Let j be z(14). Suppose 3\/7*k**3 + m*k**j + 900\/7*k + 3000\/7 = 0. Calculate k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 + 219. What is the third smallest value in m, 1\/2, -25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 29. What is the units digit of ((-16)\/y)\/(4\/(-78))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203.741 less than -0.41?\nAnswer: 1203.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/14 + 1298\/154. Let h = s + -5. Let j(y) = -h*y + 3*y - 2*y. Let g(f) = 5*f**2. Determine g(j(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 - 3)*(m**2 + 2*m**2 - 5*m**2)*(1 - 1 - 2) + (27 - 27 + 5*m**2)*(-1 + 0 + 2) as c*m + x + g*m**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 155, 380, 707, 1142, 1691, 2360?\n\"Answer: t**3 + 42*t**2 - 4*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from locus?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((1 - 2) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 2 (c) -371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 26*h + 2652 = 32*h. Sort -2, h, -14, 1\/2 in descending order.\nAnswer: h, 1\/2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107*0.4.\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 4*t - 2*t + 1 - 5*t**2 to w*t + g*t**2 + b and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -66*x**2 - 3*x. Let n(w) = -3*w**2. Calculate -h(f) - 2*n(f).\nAnswer: 72*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197206*a**2 - 295266*a**2 + 111021*a**2 - 447178*a**2 + 36403*a**2.\nAnswer: -792226*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-1800)*((-12)\/10)\/(32\/100).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -452 - -633. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1758*q - 224 = -1761*q, 3*k = -5*q + 160. What is the remainder when k is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28209093 and 1331.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) -4\/7 (c) 4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 48 + 6*p - 4*p - 20 + 92.\nAnswer: 7*p + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeihiizeie. What is prob of sequence iih?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/(-42) + 868\/1176*-7)\/(2\/172)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 1.3. Which is the nearest to m? (a) 5 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75276, 301172, 677694, 1204848, 1882640, 2711076?\n\"Answer: q**3 + 75307*q**2 - 32*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a23ad7 (base 14) to base 4.\nAnswer: 110312111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 4 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {b: 5, u: 3, i: 7, p: 3, z: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179 take away 48221.16558874?\nAnswer: -48221.34458874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3473*o**2*r + 6645*o*r wrt o?\nAnswer: -6946*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 16*j + 196. Calculate c(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -475 - 894a8?\nAnswer: -89961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53250.5 milligrams in tonnes?\nAnswer: 0.0000532505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-165)\/44)\/(6\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.055 + -21.945. Let r = -8.5 - a. Let i = r + -20. Round i to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3935\/75*-6*(-7 - (-1926)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4496606 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -15. Let j = 73 + h. Let x be 1\/((-15)\/6)*j. Which is the nearest to x? (a) 1 (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 319. Let c = p - -76. Let f = c + 84. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14271240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/39))**(-23\/4)\/((n*(n**(-22)*n)\/n*n*n)\/(n\/(n\/((n*n**(1\/2)*n)\/n)))) assuming n is positive.\nAnswer: n**(811\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1228497 (base 11) to base 6\nAnswer: 113424251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 6390567?\nAnswer: 159764175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/72*-8 + -1. Let c(s) = s + 3. Let z be c(0). Suppose -8 = -h*w + z*d + 4, 6 = -3*d. Solve -2*p = w*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 2818\/15?\nAnswer: 2818\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186376987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(153) + -3 - sqrt(17)))**2 - (sqrt(85) + sqrt(85)*-4 + sqrt(85))\/sqrt(5).\nAnswer: -16*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-6\/5)*k*k\/k**(5\/2))\/((k*k*k*((k\/(k**3*k))\/k)\/k*k)\/(k\/k**(3\/19))))**31 assuming k is positive.\nAnswer: k**(6727\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5. Let t(d) = -d**3 + d**2 - 1. Calculate q(m) + 3*t(m).\nAnswer: -3*m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 5, w: 1, m: 1, t: 3, s: 1}. What is prob of sequence km?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 - 24*t - 20 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10825440 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 34*n + 35. Let w be m(1). Solve -11 - 14 = w*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-20 + 13 - -17) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgvmvvgovvgvvvvm. What is prob of sequence vvvg?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 71 + 25 + 26 = -46 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1010858460 to the nearest integer?\nAnswer: 31794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) -3\/2 (d) 0 (e) -0.004 (f) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -35\/2. Suppose -7 = -5*i - 22. Let y(b) = -2*b - 1. Let c be y(i). Put -5, p, c in ascending order.\nAnswer: -5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {x: 1, q: 5, l: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-453)\/15 + 1\/(-25)*-5. Let b be (8\/(-20))\/(3\/y). Suppose -6*c + 4*c = -b. Is c at most -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500))*3 - (2*sqrt(500)*1 - sqrt(500)).\nAnswer: 3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = -2*k + 1, 3*k + 1 = -2*c. Suppose c*h = -h + 30. Let s = 3 - 2. Calculate the lowest common multiple of s and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 2*a)*(571*a**4 - 162*a**4 - 256*a**4).\nAnswer: -306*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*f, 2*o + 12*f + 13 = 7*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -623*p**4\/24 - 248*p**3\/3 - 398*p**2. What is the derivative of t(k) wrt k?\nAnswer: -623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-228)\/(-60) - (-2)\/10. Let y(x) = x**2 - 4*x + 4. Calculate y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168169 divided by 167.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5008*k - 364806 = 10794 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-167948)\/33588 + -6 + 11. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/7452170 and -63\/5419760?\nAnswer: 59617360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 4 - s**2 - 3 + 4*s**2 as t*s + g*s**2 + r and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21569227 to the nearest integer?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:01 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d + 80. Let t be u(-13). Sort t, -4, -1, 10 in ascending order.\nAnswer: -4, -1, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**2 + 5*y - y**3 + 11*y**2 - 3*y + 6 + y. Let c be d(4). Suppose -16 = 2*s - 4. Is s >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19465831.\nAnswer: 7, 11, 101, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -955a5 - 2600?\nAnswer: -97ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 + 20 = 0. Suppose -3*c + o = -12 - a, 2*c = 2*o + 16. Solve x + 5 = 0, -c*x + x - 40 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17869*u**2 + 0 - 17847*u**2 + 0.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 16. Let f(c) = 15*c + 16. Let u(s) = 4*s + 4. Let l(k) = -6*f(k) + 22*u(k). Give l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1172.134445 to 2 decimal places.\nAnswer: -1172.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**3)**(-3\/22)\/(z**(-3)\/z)**(-7) assuming z is positive.\nAnswer: z**(-314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509600636.\nAnswer: 2, 3, 41933351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-9))\/((-6)\/9). Suppose 819 = f*g - w - 1972, 3*w + 1383 = 2*g. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -1241*n + 1237*n + 4*v, v + 5 = 0. What is the highest common factor of n and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**5\/p*p)\/(p**0*p))\/(p**(-1)*p\/((p*p*p*(p**(-3\/7)*p)\/p*p*p*p)\/p)))\/((p**(-1\/4))**50\/(p**(1\/3)*p**(1\/3))) assuming p is positive.\nAnswer: p**(955\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 minus 0.363768?\nAnswer: 1.536232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - b + 11. Let q be a(4). Let y = -18 + q. Solve -1 = y*d + 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1042 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 102059537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -j. Let k be ((-5)\/3)\/(j\/(-3)). Suppose -o - k = -5*v, 0 = 5*o - 4*v - 15 - 2. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 137920, 551696, 1241338, 2206858, 3448268, 4965580, 6758806?\n\"Answer: 2*t**3 + 137921*t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*v = -8, -2*a = v + 7 - 16. Let d(o) = 2*o**2 - 6*o + 17. Give d(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/54 - (-1372)\/18. Suppose -l + f = -h + 19, -227 = -4*l + 5*f. Suppose -b - 2 = -17. What is the remainder when l is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5 + 3, -d + 19 = -2*z. Find the third derivative of 45*y**4 + 131*y**2 - 92*y**2 - d*y**4 wrt y.\nAnswer: 816*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43049209 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7*f = 0, -3*f = -3*k. Suppose -m = -0*m - 5*g + 6, 5*m - 3*g + 8 = k. Is (4\/8 + m)*-236 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 27*u + 4342 = -3*t, 0 = 3*u + 4*t - 12987. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -294, 1, -2, 2.\nAnswer: -294, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 21153.\nAnswer: -79\/7051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 544983 to the power of 1\/2, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31950, 64138, 96344, 128568, 160810?\n\"Answer: 9*b**2 + 32161*b - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2595456.\nAnswer: 2595456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7200 and 722042400?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4*m - 912, 0*u + 4*u = 3*m + 915. What is the greatest common divisor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57428083847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = -3*x + 11, 12 = 5*y + 2*x. Let j be (-198)\/(-108) + 2\/12. Suppose y*l - 318 = 2*d, 2*d + j*d + 390 = 5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1917411932 to the nearest one hundred thousand.\nAnswer: 1917400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38 and 47\/(-18) - 8\/(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11741390?\nAnswer: 2, 5, 17, 69067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 60.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930045472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2163 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/3964484 and -115\/2628?\nAnswer: 35680356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297*j*x**2 - 2*j - 2890*x wrt x.\nAnswer: 594*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**2 - 2*y + 5. Let b(q) = 7*q**2 - q + 3. Determine 8*b(l) - 5*p(l).\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/((-27)\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 47. Let l = 0.03 + -1.53. Let s = 0.5 - l. What is the smallest value in h, s, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Let m(j) = -j + 15. Let n be m(13). List the prime factors of (8\/10)\/(n\/k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1561*p**2 - p - 80?\nAnswer: 3122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 25 = -3*h. Let j(k) be the first derivative of -1\/3*k**3 - 4*k + 1\/2*k**2 + 19. Let d(x) = -2*x**2 + 2*x - 7. Calculate h*j(y) + 3*d(y).\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 26. Let z be h(6). Is (6997 - (-32)\/(-8)) + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 - (-3 - (-3 - 2)). Let b = -8 - -10. Solve -q = b*q + i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-158)\/3)\/((-8)\/12). Suppose 3*i - 715 = 188. Let z = i + x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0)*-3 - (sqrt(76)*1 - sqrt(76))**2.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -38*i**3 - 11*i**2 + 14*i + 28. Give d(2).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n - 18 = -3*o - 28*n, -4*n + 52 = 5*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 + -200. Calculate the least common multiple of 56 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4978626 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8289614, 16579226, 24868838, 33158450?\nAnswer: 41448062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111 + -11110100101011?\nAnswer: -11110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 - 242. Let s = -69 - r. What is the second derivative of s + 11 - 37*c + 36*c**2 - 33 wrt c?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/840 and 32\/35?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 164*z**2 - 31421*z\/3 - 20294.\nAnswer: -(z + 2)*(z + 73)*(z + 417)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 11, 49, 107, 179, 259?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojb when three letters picked without replacement from oboojbbooooj.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4860, -4859, -4858?\nAnswer: -4857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20 = -2*y, f - 35 = -3*f + y. Let r be ((-8)\/f)\/(2\/(-5)). What is the third biggest value in -1, 0.5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/2 - 47\/8. Let i = -75032\/487201 - -6\/37477. Let u = -0.1 + 1.1. Which is the biggest value? (a) x (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 11. Let b be 4\/(-24)*g*45. Let j = -26 - b. Solve -19 = 5*c - j*l, 0 = -2*l - l + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = 10*q - 5*q. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15799 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699 = 761*s - 7433 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 + 28*j + 6. Let l be r(-3). Let s(m) = 4*m**3 + 2*m - 2. Let n(a) = 5*a**3 + 2*a - 3. Give l*n(o) - 4*s(o).\nAnswer: -o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:53 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*m + 52 + 50 = 0, 0 = 4*t + 2*m - 452. Solve 0 = 9*v + 19*v - t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.542? (a) -2\/25 (b) 4 (c) 0.4 (d) -0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 256 = -3*y, y + 4*u - 94 + 14 = 0. Suppose n - 3*i + 80 = -n, -2*n + i = y. Let h = -32 - n. Solve h = t - 3*r - 3, 5*r + 21 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14ab47 - 3?\nAnswer: 14ab44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 50119988 = -n, n + 5*y - 8*y - 50120009 = 0. Round n to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 10*i - 5. Let a be b(-7). Let c(u) = -a - 1 - 3*u + 5*u. Let h be c(13). Solve -5*z + 0*z - 18 = h*f, -2*z + 5*f = -16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212213 + 20?\nAnswer: 1212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let g(a) = -a + 69. Determine c(g(n)).\nAnswer: -n**2 + 138*n - 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 4371257?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*o - 21. Suppose 3*d - o = -u + 20, -27 = -u - d. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - m - 18, -3*m - 6 = 0. Let g be ((12\/(-14))\/3)\/((-4020)\/(-252) - 16). Solve u = 4*o - g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101293841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -203144780 divided by 2?\nAnswer: -101572390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*c - 464 = 0, -79*c + 602 = 4*k - 81*c. Solve -171*z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezeezuzzzzu. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9882 = 4*z, -2*z + 5*z - c = 7409. Let q = z - 942. List the prime factors of q.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 104. Let l be b(-18). Suppose -m - m = -x - 7, l*x = -20. Solve 0 = -5*g - 26 + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1012\/8)\/(-23))\/(33\/3*-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -188. Sort -1\/3, 4, c, -9 in descending order.\nAnswer: c, 4, -1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 10*l**2 + 5*l**3 + 16*l**3 + 107 - 108.\nAnswer: 21*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10650 or -53253\/5?\nAnswer: -53253\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4386 and 97409?\nAnswer: 101795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3*i**5\/10 - i**3\/2 - 4*i. Find the second derivative of k(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 986 - 2056 = 0. What are the prime factors of (f + 1 + -6)\/(2\/3)?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 11:37 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 - 74*b + 5. Let f(w) = 13*w**2 - 149*w + 12. Let j(y) = 5*d(y) - 2*f(y). Calculate the smallest common multiple of j(18) and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1461.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r - 1. Let p be i(-1). Let a be (p*7)\/2 + -2. Suppose -v + a*c = 24, 0 = 2*v + 2*v + c - 9. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1624 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -110. What is the tens digit of ((-25)\/10)\/(p\/318)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 31*f - 18 = -3*w, -4 = -3*f + 5*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14285432 by -1785679.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34790 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ittiititttit. What is prob of picking 1 t and 2 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41)\/(-410)*(11 + 4). Factor 2 + 4*r + s*r**2 - r**3 - 1\/2*r**4.\nAnswer: -(r - 2)*(r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 22 = -4*c. Let z(x) = -x + 3. Calculate the remainder when 35 is divided by z(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28756886*o**3 + 17008881.\nAnswer: 86270658*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m + 4. Let i be 4\/(-18) + (-872)\/(-36) + -15. Let d be (4 + -9 + i)*-1. Calculate y(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26918278 divided by -4.\nAnswer: 13459139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-2)\/(-6))\/((-100)\/(-60)). Suppose v = 2*r + 43 - 97. Calculate the greatest common factor of 63 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 252*j**2 + 1 - 252*j**2 + j**3 - 1. Let d(q) = 36*q**3. Determine -d(a) + 24*u(a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -1\/2*h**2 + 0*h + 14. Let p(m) = m**2. Give p(l(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 167*i + 12408 = 721*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 53\/2 (b) -1\/11 (c) 31 (d) -2\/23 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*-1 - 60\/(-20). Solve 3*p - 4*k - 2 = 0, -3 = -a*p + 4*k + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 2*i - 7*i - 15804*n + 15805*n, i + 7 = -3*n for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*k - 8*k, -f + 726 = -3*k. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -6?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 40\/15)\/(2\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by -4.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380\/570*(-6)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-10))\/((-12)\/27*3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17090 by -1.\nAnswer: 17090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -84505426.\nAnswer: 13\/84505426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 162, 242?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3802, 7584, 11380, 15196, 19038, 22912, 26824?\n\"Answer: r**3 + r**2 + 3772*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d + 19. Let p = d - 19. Which is bigger: -2\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121020 (base 3) in base 5?\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446*u + 696*u = 33053 + 18355. Factor -u - 3\/8*x**2 + 6*x.\nAnswer: -3*(x - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941285349?\nAnswer: 3, 104587261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/2 - 33001*g**2 + 132001*g\/2 - 33000 = 0?\nAnswer: 1, 66000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 + 1\/(-1)*9. Let l be (14\/(-15) + (-6)\/u)*6. What is the remainder when 21 is divided by -1*(2 - l) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280526 is divided by 1578.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = 5*n - 0*l, 2*n - 20 = -4*l. Let j(g) = 0 + 5*g + 0 - n*g. Let z(u) be the third derivative of u**5\/60 - u**2. Calculate j(z(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/8 + 3162\/272. Solve -t - 3*k - h = -k, -16 = 3*t + k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Suppose -d + 2 = -u. Suppose -u*n - 34 - 10 = -3*m, -4*m + n + 50 = 0. What is the least common multiple of m and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132444 (base 5) in base 3?\nAnswer: 21101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -78. Suppose -r = -3*z - q, 11 = -z + r - 6*r. Let w be 21*4\/(-18) - (-8)\/z. Does 3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 19. Let v be b(-13). Let y(x) = -x**2 - x + 6. Let o be y(v). Let k = o - -111. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4879071 - 1232.\nAnswer: -1231.5120929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = q. Suppose 4*b - 93 = b. Let j = b + -16. Solve 7*x - q*x = j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = i - 15768, 7*t + i = 4*t + 11825. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*m = 1, 0 = -5*q - 3*m - 1 + 35. Let x = -13 - -17. Suppose -4*i - 20 = -x*u, u + 0*i + 4*i - 10 = 0. Solve -q*o + u*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, b: 2, f: 3, q: 2, a: 2, z: 2}. Give prob of picking 2 f and 2 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 539, 99, -3 in descending order.\nAnswer: 539, 99, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 266143.\nAnswer: 1\/266143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202 (base 6) in base 10?\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7455 in 14\/17, -4, 0.5, -1, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8093 is divided by 180?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -13*w**3\/6 + 21*w + 4. Let u(t) = -7*t. Give n(u(h)).\nAnswer: 91*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**3 - 5*t**3 + 24*t - 16*t + (-2*t + 0*t + t)*(2*t**2 - 4*t**2 + 0*t**2) + (2 - 2 - t**2)*(3 - t - 3).\nAnswer: 4*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvrvuvraorruowawvu. What is prob of picking 2 w, 1 r, and 1 v?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45401323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0418591 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689*x + 1710*x - 168 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3020\/16 - (-18 + 14 - 38\/(-8)) is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2 - -2 - 1. Let v = 194.964 + -194. Let m = v - -0.036. What is the nearest to m in f, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(2\/11)*d\/(d**9\/d)*(d\/(d*(d*d**(-1\/11)*d*d)\/d))**(-7\/11) assuming d is positive.\nAnswer: d**(-480\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 77*z - 91. Calculate u(78).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4599*v. Let p(z) = z. Determine p(i(y)).\nAnswer: 4599*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 0*v + 7 - 1\/2*v**2 + 4\/3*v**3. Let c(u) = -9*u**2 + 2*u + 1. Let o be ((0 - 0) + 10)\/2. Give o*y(i) + 2*c(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.546 + 2.526. Which is the third biggest value? (a) 0.3 (b) v (c) -2\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 271 = 2*k + k, k + 5*z - 83 = 0. Find the second derivative of 8*v - k*v**2 - 2 + 56*v - 29*v + 47*v wrt v.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 158*s**2 + 108*s + 36. Is 48 a factor of t(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.04 - 32.96. Let d = 30 + o. Which is smaller: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145281576 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (112\/(-6))\/((42\/(-36))\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, h: 4, d: 1, j: 1, l: 3}. What is prob of sequence al?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -6, -2, 78 in decreasing order.\nAnswer: 78, -2, -6, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2477763, 2477766, 2477769?\nAnswer: 2477772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 1 u when three letters picked without replacement from dhwdxxddffduhdxxfuh?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4 + 1 - 2*z**2 + 7 - 3 - 14*z. Suppose 3*g + 4*j + 5 = 0, -3*g - g - 3*j = 16. Let o be i(g). Solve o + 7 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 56*v - 1237445. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1515 (base 12) to base 13.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45623 - 10?\nAnswer: -45633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let v(t) = 5*t**2 + t - 1. Let d be v(r). Suppose 4*c - 68 = -y - 17, 0 = -d*c + 20. Calculate the remainder when y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 - f - 69. Let g(l) = -l**2 - 1. Determine -b(w) - 6*g(w).\nAnswer: -2*w**2 + w + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**5 - 6*d**2 + 0*d**4 + 3*d**5 + 0*d**4 wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 minutes before 10:05 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.05 + 0.21. Let b = s + -0.16. Sort -2\/15, 1, b.\nAnswer: b, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b500 (base 12) in base 13?\nAnswer: 21b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4788676553?\nAnswer: 43, 2237, 49783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*s + 259*s - 7213 = -127*s - 81733 for s.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 39169*s + 2*s**3 - 1 + 39082*s - 14*s**2 to the form h*s + d*s**2 + t + u*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.229995 * -4.\nAnswer: 4.91998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -7. Let y = 14.75 + 0.25. Let z = w - y. Which is the biggest value? (a) z (b) 3 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6781, -6809, -6817, -6793, -6725?\nAnswer: -6601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 29*d + 3556. 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 26533*x**3 + 26150*x**3 - 52642*x**3.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -22*s**2 - 1143*s + 52. Calculate w(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in 3, 2\/15, -9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**3\/6 + a. Let s(v) = -8*v**2. Calculate m(s(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*p + 90, 5*p - 4*p - 3*c = 34. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 2*h + 12 = 0, 6*v - 3*h = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 14*j + 427. What is n(-12)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g + 3. Let p(j) = -2 + 7*j - 5*j + 13*j. Let s be (-8*(6\/8)\/1)\/1. Let x(r) = s*i(r) - 7*p(r). Differentiate x(k) with respect to k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 57. Let y be q(-18). Suppose 2*w = r - 3 + 6, -y*r + 2*w + 7 = 0. Suppose -187 = -r*z - 0*z + 4*c, -5*c - 50 = -z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 11*k. What is t(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 1 + 7 - 4 - 5*k in the form i + j*k and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21323677665 and 4.92.\nAnswer: 21323677669.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 7. Let k be g(-4). Suppose -5*t = -18 + k. Let p(o) = 2*o**2 - 6*o + 10. What is the least common multiple of p(4) and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 + 40 = 0. Suppose -v - v = -t. Suppose 8 = 2*x + v. Solve -x + 0 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19323 - 19255. What is the remainder when 241 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46847\/11 - -4259. Let u = 2.9 + -2.6. Which is the nearest to -1? (a) -4 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/13, -0.165?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 901, 4553, 13711, 31129, 59561, 101761, 160483, 238481?\n\"Answer: 459*p**3 - p**2 + 442*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108054 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 33*p**2 + 668*p - 692. What is f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/69)\/(w*w**(4\/25)*w)*(w**37*w)\/(w\/(w\/w**(2\/29))) assuming w is positive.\nAnswer: w**(1788721\/50025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*l - 216*l - 1167 = -84*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) 0.4 (c) -1\/3 (d) 0.37 (e) 0.042 (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57c8 - a?\nAnswer: -57d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, -4, -0.03, 5, -0.3 in ascending order.\nAnswer: -4, -0.3, -0.03, 1\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + -63122.\nAnswer: -63110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 s when four letters picked without replacement from {s: 2, d: 5, r: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1263 and -0.215.\nAnswer: 0.0271545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8.7. Let a(i) = -i**3 + 4*i**2 + 6*i. Let g be a(5). Suppose -7 = 3*p - 4*p + g*y, 2*p - 7 = 3*y. Sort f, p, 5 in ascending order.\nAnswer: f, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 40 - 14 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*w + 1)*(845*w - 49*w - 1 + 50*w)*(6 - 3 - 1) to the form c*w**2 + l*w + o and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4249231 divided by 607033.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-16 + (2 - 1 - (4 + -10)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u - 12. Let d be w(-7). Suppose -5*g = -k - 55, -5*g - d*k + 61 + 9 = 0. Let v = 2 + 0. What is the lowest common multiple of v and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*t**3 - 3*t**2 + 3*t**2 + 0*t**2.\nAnswer: -244*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -86*m**3 - 7*m**2 + 28*m. Let g be r(-10). Suppose 0 = -14*n + g + 55246. Suppose n - 1459 = s. Round s to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110485, -115186, -123021, -133990?\nAnswer: -148093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 439003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Let x(y) be the third derivative of 4*y**5\/15 - 7*y**4\/24 + y**3 - 130*y**2 - 2*y. Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*(-6)\/(-12)*1. Let r be (-4)\/(60\/g) + (-164)\/(-10). What are the prime factors of (-12)\/((-6)\/2)*r\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0057, 0.03, -3\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*v = -1 + 8, 3*v = 2*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - 146\/2. Let w = 42 + b. Let k = w + 69. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {y: 1, t: 1, p: 3, f: 10, w: 4}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3. Calculate the remainder when n(-7) is divided by 19\/3 + 27 + (-2805)\/99.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195738113 to the power of 1\/2, to the nearest integer?\nAnswer: 13991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8 (b) 9\/2 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1925946 by -6.\nAnswer: 320991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888 + 2566 = 2*o - 3*g, 5*o - 4195 = -2*g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -663?\nAnswer: -33150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - (-2)\/5. Suppose -2*o = 4*v + 6, -v + x*o = -o - 6. Let m = 577 - 577.3. Which is the fourth smallest value? (a) 1\/7 (b) m (c) v (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456)*1 + sqrt(216)*1 + sqrt(216))\/(((-1*sqrt(96))\/sqrt(6))\/sqrt(2)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 637, 1265, 1899, 2545, 3209?\n\"Answer: k**3 - 3*k**2 + 630*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/5, 3477, -7\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2089 = 5*t, 2*t - 676 = -4*n + 142. Is t - (-3)\/(-6)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 3 (c) -0.2 (d) 55 (e) -17\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - 0.9. Which is the nearest to v? (a) 4 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8240266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-16)\/3))\/((-246)\/164).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664*3.\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-308)\/(-20). Let q = s + -13. Find the common denominator of -53\/10 and q\/11 - (-2280)\/(-1408).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 51, 20, -69, -246, -541, -984?\n\"Answer: -5*o**3 + o**2 + o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61194 and 355320?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + ((sqrt(180) + -3*sqrt(180))*6 - sqrt(180)) - (sqrt(180) + (sqrt(180) - (1 + sqrt(180) + 0)))*-6)**2 + 1.\nAnswer: 756*sqrt(5) + 8904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 9*s + 8. Let o be h(-9). Suppose -4 + 2 + 2*g - 4*g**3 - 2 + o*g**2 - 4*g**4 + 2*g**5 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24070*r - 1889*r - 24512*r - 11822*r - 2325*r.\nAnswer: -64618*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -360048?\nAnswer: -360047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) -0.5 (c) 2.67 (d) -21 (e) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:12 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -27. Suppose 0 = 3*f - m - 8, -z = -2*f + 6*m - 2*m. Calculate the remainder when f\/2*(-128)\/(-4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 5. Let v = -26 + 23. Let l = 1 + -1. Which is the smallest value? (a) o (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 13. Let m be c(1). Is -44\/5 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167250*x - 44247*x - 123010*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260 + -260.49. Let f = -0.39 - h. Let r = 0.01 - -1.99. What is the closest to f in 0.3, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26511241.\nAnswer: 431, 61511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39969143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -3831, 1.2, 36, -8?\nAnswer: -3831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let g = 4.3 + -4. Let p = g - -0.7. Is p <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 10. Suppose -k*b = 2*b - 125. Suppose m = -d + 2, d + d - b = 5*m. Solve -d*n = 2*g + 9, -2*n - n - 18 = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257909929?\nAnswer: 1061, 1185589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*a**3 - 2*a - 53*a**2 + 13*a + 3 + 2027*a**3 - 11*a wrt a?\nAnswer: 11964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (2 + 11 - -1). Find the first derivative of 5 + o + j**4 - 16*j**4 wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 509*g**5\/5 - 13*g**4 - 3678*g. What is the third derivative of i(o) wrt o?\nAnswer: 12216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5 + 20*y**4 + 24*y**3 - 16*y**2 - 32*y = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 23*o**2 - 8*o**2 - 514*o - 52*o**2.\nAnswer: -75*o**2 - 514*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a60 (base 15) in base 10?\nAnswer: -133965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*t = -109*t + 60. Let j(i) = -i**3 - 1. Let u(n) = -n**3 - 1. Suppose 4 = -2*b - 2. Give b*j(l) + t*u(l).\nAnswer: -l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (2 + -3 + 1). Suppose 4*w + 570 = -v*w + d, -3*d = -2*w - 280. Let x = w - -238. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1148 by 3.\nAnswer: 1148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) -5 (b) -5165 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -3316157912?\nAnswer: -3316157911.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-474)\/(-5214))\/(4\/(-11)). Let g = 2 + -1.7. What is the nearest to 0 in g, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 1, n: 5, w: 5, b: 4, f: 2}. Give prob of sequence bnh.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1426*-94.\nAnswer: 134044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(1600) + sqrt(1600)*1)\/(-4*sqrt(20)\/sqrt(4)) - -2*(2 + sqrt(15)\/(sqrt(18)\/sqrt(6))).\nAnswer: -9*sqrt(5)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0 + 1\/84*a**4 + 1\/210*a**5 - 1\/21*a**3 - 1\/420*a**6 + 0*a + a**2. Find w, given that p(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 17*p**2 - 17*p**2)*(p - p - p**2) + 2*p**5 + 2*p**3 - 2*p**3 + (6*p**2 - 3*p**2 + 0*p**2)*(83*p**2 - 83*p**2 + 8*p**3).\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 521465, 1042927, 1564389?\n\"Answer: 521462*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {q: 2, h: 1, a: 2, i: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15. Let x = -11 + g. Let o be (24\/30)\/((-4)\/x). Solve o = -y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -14 + 4 + 7 + (-2 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 13*g - 17*g. What is the second derivative of -4*h + g*h - 23*h**2 + 7*h**2 wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*v - 16, -2*v + 4*s - 2*s + 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 475622.19 minutes?\nAnswer: 330.2931875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2295*234*(-90)\/(-216) - (-8)\/(-9)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001342 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 8*n**2 - 9*n - 17. Determine r(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -40\/3*a**3 - 31\/2*a**2 + 23 + 0*a. What is the second derivative of t(g) wrt g?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Suppose l*h - 3 = 7. Suppose -h*j - 70 = -4*j. Calculate the greatest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8829 and 54811522?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 140?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/11, 0.2, -164?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -2\/3*m**3 + 1\/20*m**5 - 1\/2*m**4 - 20*m + 1\/2*m**2 - 2. What is d(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26050630 (base 7) to base 12\nAnswer: 960984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 4\/(16\/(-12)))*1. Suppose 4*d + i*b = -306 + 902, 5*b = 5*d - 745. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/296 and -47\/88726?\nAnswer: 354904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3\/2 - 6189*d**2 + 275220*d = 0.\nAnswer: -4170, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16878925, -16878955, -16878985?\nAnswer: -16879015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074889 to three decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1*-5*6\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1438 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4833 = 5*v. Suppose -4*g + 3129 = v. Suppose -8*t + 192 = -g. List the prime factors of t.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/15, -1894, 18, 3 in descending order.\nAnswer: 18, 3, 1\/15, -0.5, -1894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a788 + -35?\nAnswer: -27a812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 187.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (68\/170)\/(-1*(-24)\/45)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 26599776.\nAnswer: 1090590816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1988 in 0.08, -1, -713?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/(-6) - 2)*2. Let c(z) = -q*z**3 + 3 + 2*z**3 + 5*z**2 + 0*z**3 - 3*z + 2*z**3. What is the units digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648369401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnnsnsyyssssnn. Give prob of sequence nn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 109, 161, 213?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 6*p + 2*m + 22 = 0, p = 4*m + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 21105498*l**2 - 55680287386734*l + 167040672210774 = 0. Calculate l.\nAnswer: 3, 5276373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6\/(-27) - 263\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 0.09 (b) 0 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/12 - 2*o. Let p(i) be the first derivative of -i**3\/3 + 9. What is p(q(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 32*k - 10. Let v(h) = -17*h + 5. Let q(f) = -4*m(f) - 7*v(f). Give q(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -6.04?\nAnswer: -0.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*t + 5*t + 10, -b = -5*t + 6. What is the lowest common multiple of 1 and 0 - (-2)\/b*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686 and 119021.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 32*v + 10. Solve -v*o + 3*o + 3*l + 12 = 0, 9 = -5*o + 2*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/280*-7*(-20)\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 4*w - w + 2*w**2 + 4*w - 10. Let z be y(20). Let n be ((-13)\/z)\/(2\/(-5)). Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/288*(-17 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*o + 3*v - 3, 0 = 5*o + 4*v + 10. Let q be ((-7)\/84)\/(1\/(-22)) + o. Which is the second smallest value? (a) 5 (b) 14 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 71*z + 1508 = -220*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0. Suppose m + 0*b = 3*b + 270, -4 = b. Let u = 1286\/5 - m. Sort g, u, -3 in decreasing order.\nAnswer: g, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = 4*y - 17, -5*s = 3*y - 7. Let k(m) = 8*m - 68. Let d be k(11). Solve -y*p = -d + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**3 - 4*r**3 + 4*r**2)*(202 - 83 + 1104)*(-2 + 1 - 1).\nAnswer: 4892*r**3 - 4892*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k**2 - 880*k - 235. Calculate v(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (7 + (1 - (23 + -7))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.238 and -148.\nAnswer: -146.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 26*w - 55. Is 30 a factor of x(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2072)\/(-111)*(-1017)\/(-6). Let d be (m\/(-210) - -14) + 4\/10. What is the second biggest value in 0.267, 2, d?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 10*o - 13. Let g be u(-8). Let r(d) be the second derivative of -4\/3*d**3 + 0*d**2 - g*d + 0. What is r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-3)\/(-63)*75\/200)\/(2\/144).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -1) + 20 + -27 + -11 + 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -33 - 26973*u**3 + 21 + 10*u**2 - 14 - 9*u - 2*u. Suppose 0 = -2*p - 6*p + 88. Let h be l(p). What is h rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-603 + 0*d**3 + 612 - 2*d**2 - d**3)*(-3 - d + 3).\nAnswer: d**4 + 2*d**3 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41321 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*i + 28. Let v = 42 - 9. Let j = v + i. What is the greatest common divisor of j and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssdrsdskdrddsdkdsd. What is prob of sequence rkd?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-36)*(-21 + 14 + 288 - -13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145524 - 3?\nAnswer: 145521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -3 + 4 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 30*g + 14. Let u be q(2). Let m = 134 - u. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 7\/12*h**4 + 5*h + 0 + 7\/6*h**3 + 0*h**2. What is the second derivative of s(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -47*j + 46*j. What is the common denominator of -4 + (-12)\/j - 130\/(-4) and 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07344 - -0.074. Round j to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (0\/1 - 77\/44*-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4076 + 1.78?\nAnswer: 4077.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, 678, -195, 5, 4, -2 in decreasing order.\nAnswer: 678, 5, 4, 0, -2, -16, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750*a**4 + 49 wrt a.\nAnswer: -3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1586, -14, 199 in descending order.\nAnswer: 1586, 199, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13715*o + 105 = 13730*o. What is the least common multiple of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4177456, 16709829, 37597118, 66839323, 104436444, 150388481?\n\"Answer: 4177458*z**2 - z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o**(-4))**(23\/5))**(-6) assuming o is positive.\nAnswer: o**(2484\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**13*d)\/d)\/(d**(-2)\/d))**(-39) assuming d is positive.\nAnswer: d**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 5. Solve p*d + 3*o = o - 18, d = -5*o + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22542406 is divided by 1127120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -13*z + 24. Solve -p = -7*p - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 4\/23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y - 19*y - 5*y**3)*(3*y - 6*y**2 + 9*y**2 - 5*y) + 6*y**5 + 0*y**5 - 2*y**5.\nAnswer: -11*y**5 + 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280041119.\nAnswer: 17, 16473007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 - (-2 - (-2)\/2*-7). Let l(m) = -m - 15. Let s be l(-14). Let h be 1*((-6)\/(-3) - s). What is the highest common divisor of p and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157534 and 24674?\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14373875 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19795, 19793, 19791?\nAnswer: 19789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-4)\/10)\/(40\/(-100)). Solve 0 = 5*k + x*l - 17, 4*l - 13 = 2*k - 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1795183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g + 2*k, -6*k = 5*g - 4*k. Suppose -6 = 5*n - g*m, -3*n - 3*m = 2*n - 9. Solve n = 5*d - d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -407*h**3 - 5*h**2 - 694*h + 1397. Calculate k(2).\nAnswer: -3267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 18*o - 22*o + 98182, 2*x - 3*o = 65432. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.389972 and 0.2.\nAnswer: 15.589972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 652220622 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/3 - (-10)\/(-30). Suppose -n + 137 = -y + 2*y, -5*y + l*n + 671 = 0. Let h = -63 + y. What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - (18 - 3 - 27)) + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/200 and -119\/3690.\nAnswer: 73800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1093.13 + -1093. Let i = -32 - -29. Which is the third biggest value? (a) u (b) i (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295275 is divided by 147560.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7784883 litres to millilitres.\nAnswer: 778.4883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 291, -0.3, 1\/4, -0.1 in decreasing order.\nAnswer: 291, 8, 4, 1\/4, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from wdkttaaamtadddakkd?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -97*h**7\/210 + 27*h**3\/2 + 25*h**2. Differentiate y(v) with respect to v.\nAnswer: -388*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 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: Let y = -0.3 + 0.31. Let c = -0.39 - y. Let h = 3\/10 - -1\/5. Sort 1\/4, c, h in descending order.\nAnswer: h, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52824 and 552948?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 41 - 57. Solve -7*t - v = -9*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 3*s - 5*s)*(87*s**2 + 8*s**2 + 9*s**2)*(-5 - 4 - 4)*(2 - 2 + 2) to the form b + p*s + a*s**3 + h*s**2 and give a.\nAnswer: -2704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224 + 174. Let h = p + 80. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158449 times 4\nAnswer: -633796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110321?\nAnswer: 110321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23203 (base 4) to base 15.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19258 + 59065 = 660*a - 33453 for a.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1170834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74727.99 milliseconds to hours.\nAnswer: 0.020757775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 7?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 15*i - 10. Let u be d(-14). Let f = -2.29 + 1.29. Which is the nearest to 1\/4? (a) f (b) -2\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 38325?\nAnswer: 153300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/8)\/(6\/65) and -11\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2997, -5995, -8993, -11991, -14989?\nAnswer: -17987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6275 - 2608. List the prime factors of y.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-126)*6\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**2 + 2*p - 1. Let s = -16 + 17. Determine o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)*l*(l\/(l\/l**(-15\/4)*l))\/l assuming l is positive.\nAnswer: l**(-315\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {d: 6, o: 7, g: 1, v: 4}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -8*o - 525. Let l be (42\/o*-5)\/(4\/(-10)). Solve -l*m = 1 - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 1. Let c(v) = 19*v + 7. What is -6*c(z) + 39*i(z)?\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aicbwwi. Give prob of sequence aw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 9)*(-13*o - 10 + 10 + 101*o + 43*o).\nAnswer: 655*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2848\/360 - 8)*(-9)\/(-6). Which is the biggest value? (a) k (b) 1.4 (c) 0.13 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 595501 and -51528600.\nAnswer: -50933099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:30 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-10))\/((-3)\/(-24)*2). Is u bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let s = -3.01 + 3. Put k, s, 4 in descending order.\nAnswer: 4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1799*y**2 - 19*y - 14. Let o(l) = 600*l**2 + 7*l + 5. Determine 3*m(b) + 8*o(b).\nAnswer: -597*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 2*c - 2*c. Suppose 9*g + 66 = 219. Suppose -g*h - 67 = -33. Calculate t(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by 3185.\nAnswer: 38\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u - 666 = -37*u. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11221858, 11221874, 11221910, 11221972, 11222066, 11222198, 11222374, 11222600?\n\"Answer: x**3 + 4*x**2 - 3*x + 11221856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/9 + 0)\/(19 + (-1007)\/57). Let i(c) be the first derivative of -x*c**6 - 1 + 0*c + 0*c**2 + 0*c**3 + 6\/5*c**5 - c**4. Find s, given that i(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**3 - 4*t**2 - 2*t + 11. Let m be w(0). Let h(n) = 8*n**3 + 4*n**2 + 3. Let f(x) = 25*x**3 + 11*x**2 + 8. Calculate m*h(i) - 4*f(i).\nAnswer: -12*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*m = -133117 - 75779, -4*m = -5*s + 261116. What are the prime factors of s?\nAnswer: 2, 5, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90894, 181591, 272288?\nAnswer: 362985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - 1746 + 1746 - k**2)*(-2*k**2 - 2*k**2 + 2*k**2).\nAnswer: 2*k**4 - 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 11*q**2 - 12*q - 12. Let t be f(-10). List the prime factors of ((-6)\/(-4))\/1*t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688573 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 - q - 1. Let p be h(-1). Let f(a) = a**2 + 6*a + 9. Determine f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/117657 and 5\/36363.\nAnswer: 83889441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 11 = 3*r, 7*r - 4*z = 3*r + 12. Suppose 127 = 3*l - l - 3*k, -r*l + 287 = 5*k. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 11*s = -12. Factor 0*w**4 + 2*w**4 + s*w**4 - 73*w**5 + 88*w**5.\nAnswer: 3*w**4*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6741 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 3*t**2 - 2*t**2)*(2*t - t - 2*t) + (2 - 3 - 1)*(-t**3 - 3*t**3 + 2*t**3) + (43*t**2 + 2324 - 2324)*(3*t + 0*t - 4*t).\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 2812.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -420, -10, 21, -0.5 in decreasing order.\nAnswer: 101, 21, -0.5, -10, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:36 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94281887, 188563782, 282845679, 377127578, 471409479, 565691382?\nAnswer: 659973287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1110*a*k*v**2 + 104*a*v - 39*a + 94*k - 29 wrt v.\nAnswer: -2220*a*k*v + 104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 23. Let j(n) = n**3 + 13*n**2 - 85*n - 126. Calculate the remainder when j(-17) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -735580 at most -735580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1 - 2) + 11. Let y = i + -5. Suppose 4*m - 7 + 9 - y - m**2 = 0. Calculate m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665112 (base 7) to base 16\nAnswer: 1c91d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 145278 = 27510. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96127\/58 + -15576929\/9570. Let a = -512\/15 + j. Calculate the common denominator of -55\/6 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 27*r - 9 + 14*r - 11*r + 16*r - 5*r**2. Let z be o(9). Let v be ((-4)\/10)\/(1\/(-30)). Solve z*a - 3*a = v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -9695188.\nAnswer: 969518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812 by -14.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 200849 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: Put 0.01, 0.4, -935, 25, -1 in descending order.\nAnswer: 25, 0.4, 0.01, -1, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {g: 1, w: 4, t: 2, c: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5386 + 16641. List the prime factors of m.\nAnswer: 5, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + 23 + -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1995, 4011, 6025, 8037?\nAnswer: 10047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/600 - 9*o**5\/50 - 203*o**4\/40 + 1682*o**3\/15 - 738*o**2. Determine f, given that v(f) = 0.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*q**5 - 2*q - 413 wrt q.\nAnswer: -1040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0502 (b) 3 (c) 3\/4 (d) 2\/531 (e) -1\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -7 + 3)\/1. Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 7 - -14) + 2 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18747695*r**3 + 25*r + 228269 wrt r.\nAnswer: -112486170*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38237078 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, -24.728, -0.5.\nAnswer: -24.728, -0.5, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {t: 1, d: 1, v: 1, m: 4, q: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145772?\nAnswer: 2, 11, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(75) + 1 - (-3*1*sqrt(75) + sqrt(75) + sqrt(75))) + -2.\nAnswer: 4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1322168 to the nearest one thousand.\nAnswer: 1322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -2) + -52 + (66 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.048, 0.134, 6\/11, -0.05?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 - 8*a**2 + 6*a - 5. Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g\/g**(2\/59))))*g**(-1\/5) assuming g is positive.\nAnswer: g**(-49\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, x: 3, p: 3, j: 1, b: 1, f: 1}. Give prob of sequence bz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 26037899.\nAnswer: -104151596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and ((-3)\/(-4))\/(1169\/292 + -23 + 19).\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84874 at most 763871\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.9. Let j = -0.2 - -0.2. Let l be 18\/60 + (-1)\/2. Sort l, i, j in descending order.\nAnswer: i, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5 - 1 + i + 5 + 2. Let a(z) = z. Calculate 3*a(r) - l(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/21)\/u*u\/(u**(3\/4)*u*u))\/((u\/u**8)\/(u*u*u**(-1\/18)\/u)) assuming u is positive.\nAnswer: u**(1285\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2709 + 2709 - 226*a**3)*(11 + 7 - 10) + 5*a + 0*a**3 + 2*a**3 - 3*a)*(a + 3 - 3).\nAnswer: -1806*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*5\/(-15) + 7\/(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98802 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 11*w**2 + 10*w + 12. Let i be o(12). Let g(f) = -7*f. Let y be g(i). Suppose 2*k - 4*k + y = 0. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 4. Let y(m) = -m**2 - 2*m. Let i be y(-2). Suppose i = -2*v + 4 + 4. What is o(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by -381108\nAnswer: 185\/95277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*x - 2185, -3416 + 690 = -5*x - 2*o. Let t = 388 - x. Let j = t - -238. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/13, 2053, 0.4, -0.3, 5, 0?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + -2ec4?\nAnswer: -2e9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = v - 3*w, -3*w = -18*v + 24*v + w + 54 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-208)\/(-72) - 2\/(-18). Determine c so that 15*c**5 - 12*c**3 - 5*c**4 - c**d + 13*c**3 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6928 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:21 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 4*z + 34 - 4*z - 9255*z**3 + 30.\nAnswer: -9255*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puphhpcpuupphpphcphc. What is prob of sequence hhhh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**5*n**3 - 556*i**4*n**3 + 2*i**2*n**3 - 10*i**2*n**2 - 124*n**3 - n wrt i.\nAnswer: -360*i**2*n**3 - 13344*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34334, 34362, 34390?\n\"Answer: 28*j + 34306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - (sqrt(1331)*2 + sqrt(1331))**2*-3)) - ((sqrt(1331)*-3)**2 + -1)) + (-4 + ((sqrt(1331) + 1)*6)**2)*-3).\nAnswer: -958795 - 11935*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 + f + 1. Let p(o) = o**2 - 6*o**2 + 10 - 6 - o - 6*o**3 + 4*o**3. What is the least common multiple of t(-1) and p(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -10241.\nAnswer: 10\/10241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from msj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (sqrt(2) + sqrt(18)*-2)) + sqrt(2) + 1 + -1 - (2 + (sqrt(50) - sqrt(200)*6)))**2.\nAnswer: -992*sqrt(2) + 30768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 17*m + 94. Put 3, 2, m, -6 in descending order.\nAnswer: 3, 2, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 - 3*p**5 + 0*p**5 + (2 + 2*p - 2)*(-3 + 5 + 1)*(0*p**3 - 2*p**4 + 0*p**3).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 + -362. What is the second derivative of 2*y**4 + y**5 + y**5 + 75*y - 2*y**4 - 28*y - 6*y**n wrt y?\nAnswer: 40*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 56*u**2 + u - 2. What is the units digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.07 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 5*d + 0*d)*(d**2 + 0*d**2 - 2*d**2 + (-d + 2*d + 0*d)*(-2 + 2 - d))*(-4*d - 2 + 0*d - 4*d) as m*d + l + i*d**4 + k*d**2 + o*d**3 and give i.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:13 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 + 6*g - 5. Let u be b(4). What is the third derivative of s**3 - 4*s**3 - 4*s**3 - 9*s**2 - s**u wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/(3\/20).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 3*s**4\/4 + 50*s. Let n(c) = c**2 - 3. Let r(f) = -3. Let j(d) = 3*n(d) - 3*r(d). What is j(y(b))?\nAnswer: 243*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150998239 is divided by 1558?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -367. Let v(k) = -k**3 + k + 132. Suppose l = -0*l. Let w be v(l). Calculate the highest common divisor of w and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202\/11*g + 824\/11 - 1\/11*g**2 = 0.\nAnswer: -4, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*u**2 - u - 108*u**2 - 37*u**2 to the form z*u**2 + y*u + r and give z.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*c + 3*c. Let k(x) = -x + 10. Let j be k(c). Let a(y) = j*y**2 + 8*y**2 - 13*y**2. Let z(g) = -g**2. Give z(a(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-6) - 2)\/((-20)\/(-4860)*-63) and (1 - 22\/12)*-13.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 14*u + 13. Determine m(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 127 = -31. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64701097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/25)\/(56\/(-70))*(-100)\/(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10154453 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*p + 1. Suppose 0 = -2*b - 3*h, 0*b = -4*b - 2*h + 16. Let f = b + -3. Solve 0 = p*k + f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/11, -2\/15, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 3*k - 7, 2*z = -4*k + 28. Let t(l) = 6*l + 237. Let o be t(-16). Suppose 47*a + o = -282. Sort 0, a, z in increasing order.\nAnswer: a, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -10\/9, 5\/28, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(117)*-2)\/(-6*sqrt(9)*-2) + -3 + -1*sqrt(13) + (5 + (sqrt(117) - sqrt(13)))**2 + -3.\nAnswer: 71 + 43*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.4 - 3.4. Which is the nearest to n? (a) -0.1 (b) -2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270112, 540183, 810232, 1080259, 1350264, 1620247?\nAnswer: 1890208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3140000 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8293 - -73790. What is the ten thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404878739.\nAnswer: 349, 1160111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 4*f = -9, -171*f - 47 = 4*i - 174*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i. Give v(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.308 + 0.26. Let p = -0.007 + m. Let z = p + 0.055. Which is bigger: -0.3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10 - 8360\/400 - -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130.7 - 131.3664. Round g to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11902517123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 242 + -162. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 + s**3\/6 + 3*s. Let o(x) = 7*x**2 + 5*x + 2. Let f(c) = -5*n(c) + o(c). Find the first derivative of f(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from ghhghholhlhgx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 689746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h. Suppose 2*g - 218 = -h*n - n, 3*g - 338 = 4*n. Let z = -171 + g. Round z to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 579.6 and 2.2.\nAnswer: 1275.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-3 + 0)*-3.\nAnswer: 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1067 + (15\/5 - 4). Let n be 2 + 0 - (4 + -5 - l). Suppose 0 = -6*q + 5*q + n. Is q 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 189904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k**2 + 6*k**2 + 5*k**2 - 63*k**2 to the form o*k + f*k**2 + r and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.981 - 632.281. Let x = -1264 - -1860. Let f = x + z. Round f to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96948799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - j - 5 + 4)*(1 - 4 + 4)*(21*j + 20*j - 12*j) to the form k*j**2 + q*j + g and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 = -4*j + 3, 2*j = 4*q + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*l - 1 + 366*l + 575*l.\nAnswer: 1216*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 4*s + 756. Suppose -19*b + 26*b = s. Solve b*y - 6*y = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 10?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15745 (base 8) to base 13.\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 24 = -2*p - 4*l, -3*l - 15 = -4*p. Suppose p = -2*b, -126 = -3*n + b + 2*b. Calculate the smallest common multiple of n and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-176)\/(-4)*1\/8*6. Let a = p - 23. Suppose 0*j - 23170 = -a*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096440 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m**3 + 0*m - 7\/24*m**4 + 5*m**2 + 0 - 1\/60*m**5. Let o be t(-6). Sort -2, o, -5 in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4845365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-252)\/(-2205))\/(1\/56).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-24))\/((-430)\/344)*(-3)\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(936)*-3)\/(sqrt(2)*3*3 + 1*sqrt(200)).\nAnswer: 144*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7\/2, 0.2, -2, -167, -0.4 in ascending order.\nAnswer: -167, -4, -2, -0.4, 0.2, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/18 and ((-51)\/24 + -2)\/(66497\/348)?\nAnswer: 41274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = a - 0*i + 14, i = -3*a + 6. Which is bigger: a or -6\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 754 and 2021126.\nAnswer: 26274638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 5. Suppose 0 = p - 4*m + 15, 0 = 5*m - 18 + 3. Let r be p - ((-15)\/15)\/((-1)\/(-6)). Is j(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102157276 times 4?\nAnswer: -408629104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*v + 69, 3*v - 86 = -4*q + 5*v. Let f be (3\/((-6)\/166))\/(q\/(-20)). Let x = f + -61. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 215875502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 112340 divided by -82\nAnswer: -1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134306212882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 4*x + 5*x)*(0 + 4 - 3) + (2*x + x - 4*x)*(-2 + 0 + 1) to f*x + r and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-3 - (-11 + 4)). What is the third smallest value in 0, 3\/4, 4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22809*d**4 - 89*d**2 - 2*d + 190?\nAnswer: -547416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**6\/15 - 2*w**5 - 50*w**4\/3 - 121*w. Suppose f(i) = 0. Calculate i.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 26 + 102*k**3 - 28394*k + 21 + 28394*k.\nAnswer: 102*k**3 - 2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, -0.1, -0.5, 74\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 3*w + 3. Let r be p(2). Suppose r*z + 0 - 10 = 0. Solve -m = -z, -25 = -3*t - 3*m - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**4 - 18*t**3 + 24*t**2 - 9*t + 3. Let s(d) = 11*d**4 - 35*d**3 + 48*d**2 - 19*d + 5. Let y(r) = -5*a(r) + 3*s(r). Solve y(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260665 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: Suppose -7 = 5*g + 8. Let a = -4 - g. Let i be (a\/((-2)\/10))\/1. Solve -5*u - 5 = i*t, 6 = -5*t - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 50. Let t = -1 + 42. Calculate the remainder when t is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 95, 1, -16.35, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4839962*h - 40203428 wrt h.\nAnswer: 4839962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6275 - 6270. Solve r*m - 33*m = -140 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 360 = 4*h. What is the tens digit of (2\/(-3))\/(4\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 35 = x, 100*q - 105*q + 2*x = 20 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p - p + p + 1. What is a(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -5\/6*c**3 + 0*c**5 - 2*c**2 + 0*c**4 + 0 + 0*c - 1\/30*c**6. What is the first derivative of u(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*n + 25*n + 296268 + 479334 = 0. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 3000*f**2 - 2985*f + 5990.\nAnswer: -5*(f - 1)*(f + 2)*(f + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2. Let a(p) = 120*p**2 - p + 57. Determine a(y(i)).\nAnswer: 120*i**4 - i**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**2 - i**5 + (-i**2 - 4*i**2 + 6*i**2)*(0*i**3 - 2*i**3 + i**3) - 20*i**5 + 29*i**5 - 31*i**5 + 0*i**5 - 3*i + 7*i - 2*i**5.\nAnswer: -26*i**5 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 312*m + 1634*m + 988*m + 376869 - 145083 for m.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/49))**31*(k\/k**(5\/13))\/k**(-26))**(-28) assuming k is positive.\nAnswer: k**(-71040\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536.2 rounded to the nearest ten?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsuusuvuvv. Give prob of sequence uuvs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6816 by -426.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6, -p + 3*d + 3151407 = -4848587. What is p rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/((46250\/(-259))\/125)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q - 560 - q**3 + 1115 + 4*q - q**2 - 562. Determine w(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.026, -5, -10, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -553? (a) -7 (b) -0.08 (c) -2 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 26869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvvvxvvxxvvxvxvvvv. Give prob of sequence xvxv.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fa7 (base 16) in base 7?\nAnswer: 14453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and -4.54274?\nAnswer: -0.35433372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, 0.9, -2\/11 in decreasing order.\nAnswer: 0.9, -0.1, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/325364820 and -41\/18.\nAnswer: 976094460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2213736, 2213723, 2213710?\n\"Answer: -13*d + 2213749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.282, 18, -0.2?\nAnswer: -0.282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -25, -4, 440, 14 in increasing order.\nAnswer: -25, -5, -4, -1, 14, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.9 + 19.18. Let t = 13.98 - w. Let b = -18 + t. Put 2, b, 0.05 in decreasing order.\nAnswer: 2, 0.05, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, 0.4, -5, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 4*h. Let f = -1801 - -1797. Let d(n) be the first derivative of -2*n**3\/3 + 3*n**2\/2 + 1. What is f*d(w) - 3*b(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/80)\/(2\/(-50)). Find the common denominator of -4 and (-2)\/z - 1018\/(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 11*x - 7. Let j(h) = h**2 - h - 10. Let d = 15 + -15. Let m be j(d). Let q be a(m). Solve q*i + 5 = -1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -566000 to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*g - 682 - 517 - 10. Let y(o) = 31*o - 2. Let z be y(3). Calculate the highest common divisor of g and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by -12502?\nAnswer: -177\/6251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 463781248?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = s. Let a be (-3)\/9 + 2\/s. Suppose 0*o - 5*o + 15 = a. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = -126395 + 387689. Is w a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zpyyyvyvzyyp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 4.90319.\nAnswer: -0.5883828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/z**25)\/z*(z*z**(4\/17))\/z*z**(27\/5)\/(z\/(z*z**(1\/14)*z)) assuming z is positive.\nAnswer: z**(-20579\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8547705.\nAnswer: 3, 5, 189949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 33. Let a(b) = -16. Let j(k) = -5*a(k) - 3*o(k). Let w be j(-7). Suppose -5*d + 632 = 3*q, -w*d + 3*d - 128 = q. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.15 to the nearest integer.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*m*o - 3*j**3*z - 2*j**2*m*z + 8*j**2*o*z - j*m*o*z - 36*m*z wrt o.\nAnswer: j**3*m + 8*j**2*z - j*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**2 + 118*s + 902 wrt s.\nAnswer: 6*s + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 + 147. Solve k - d = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20498 + 2597 = 51*z. Sort 1, 4, z in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2413114 and 7530.\nAnswer: 36196710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 43465 = 43462, -5*h - 15 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32423 + -25715?\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720816756?\nAnswer: 2, 3, 11, 19, 167, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9289339 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t + 4*m + 5, 0 = 4*t + m + 50. Suppose -2 = 3*w + 5*b, 0*w + 2*w - 32 = 5*b. What are the prime factors of 32\/w*(-18)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90\/(-12))\/((-2)\/(-4)). Let z = x + 23. Let t = z - 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + i - 20, i + 22 = 3*q + 7. Suppose f + 3 = 3*t - 6, 5*f - q*t = -5. Solve 0*g + f = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.077 - 0.077. Let v = 50.9878 - z. What is v rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396637 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: Let a = -47 - -1167. What is the greatest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**2 - 104*f + 267. Determine r(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.7 - -62. Suppose -3*l + 9 = -3*p, -4*l = -4*p + l - 13. Which is the second biggest value? (a) f (b) 8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:29 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4047 + 14296 = 4*k - 5*a, k + 4*a - 2536 = 0. What are the prime factors of k?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203 - 119. Let c = -33707 - -33707.2. Put c, -1\/6, w in increasing order.\nAnswer: -1\/6, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 + (-54 - (4 + -4)) - (182 - 174)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, -6, 4, 5.\nAnswer: -25, -6, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7.7, 1\/4, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/135 + 11*v**4\/18 - 64*v**3\/27 + 43*v**2 - v. Factor q(j).\nAnswer: -4*(j - 32)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 900 and 236100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g + 0*g**5 - 22*g**4 + 18*g**3 - 2*g**2 - 3*g + 8*g**5 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 2 u when four letters picked without replacement from {h: 2, c: 1, r: 10, w: 1, u: 3, m: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 516, 554?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183919652 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 = t + 4*v, 2*v = 5*t - 8. Solve -5*l + 7 - t = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*s**3 - 1356 - 1340 + 4047 - 1350.\nAnswer: 148*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33277*i**4 + 2*i**2 - 36213 wrt i?\nAnswer: 133108*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-101)\/404)\/(35\/(-60)*1). Determine v, given that 0 + 0*v + 18\/7*v**4 + 12\/7*v**2 - b*v**5 - 27\/7*v**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3130301 (base 7) to base 4.\nAnswer: -1130010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620049831 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - -11. Suppose -4*z - 2*w + 0*w = -o, 0 = -z + 3*w + 12. Suppose -22 = -3*q - q - g, z = 4*q - 4*g. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 30. Let x = v - -12. What is the first derivative of -8 + 0 + 11*d**3 + x*d**3 - 3*d**3 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -570.63 rounded to the nearest ten?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/10 + 4*3\/(-30). Is b <= -2\/533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -0.11 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, e: 5, g: 1, m: 3, l: 1, p: 1}. What is prob of picking 1 g and 1 e?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 2*g**3 + g**3 + (-4*g + g + g)*(-165*g**2 - 189*g**2 - 20*g**2).\nAnswer: 751*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Find the third derivative of -4*q + c*q + 2*q**2 - 2*q**4 + 3*q**4 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 + 0*(-3 + 4). Let j = v + -18. Let n(a) = -2*a + a + 4*a - j*a. Let o(k) = -k**2. Calculate n(o(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-96)\/9 - 5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 4*f, 0 = -3*q + 4*f - 9 + 2. Let o be (2 - q) + 0 + -27. Let a be (o\/30)\/(1\/5). Which is bigger: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448621586 divided by -1.\nAnswer: 448621586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.3 - -13.3. Let j be (-9)\/66*(-40)\/30. Which is the closest to -3? (a) -2 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.98 - 0.48. Let w = k - 1.5. Let z = -13\/10 - -4\/5. Is z equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2. Let w be ((-8)\/(-100))\/((-16)\/(-400)). Let t(s) = s**2 - s + 1. Let u be t(6). Let j(d) = -27 + 58 - u + 2*d**w. What is j(q(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -17 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 66*q - 44*q - 31*q + 0*q**3 + 2 + 4*q**3 + 3*q**2 = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 37668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83745*w + 83745*w - 496*w**2.\nAnswer: -496*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 4. Let t be a(0). Suppose -3*n - t + 1 = 0. Let y(q) = -231*q**3 - q**2 + q + 1. Let b be y(n). Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (4 - (0 + 14)) - (-14 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 13. Let r(l) = -5*l - 2. Let i be r(j). Let m = 14 - 8. Calculate the highest common factor of m and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3239*o - 17524*o - 5979 + 5979 as j*o + z and give j.\nAnswer: -20763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 17. Let w be j(-4). Suppose b = -w*b + 16. Solve 18 + b = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47263987.\nAnswer: 181, 261127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-2)*(-1)\/(-1). Suppose -p*x + 13 = -14. Factor 33*q**3 - 82*q + 10*q**2 - 6 + 109*q - 55*q**2 - x*q**4.\nAnswer: -3*(q - 1)**3*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.071 + 0.159. Let k = w + -2.788. Let q = k - -2.11. What is q rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iggi?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 148. Suppose k - 122 = -g*y + 6*y, -5*k + 5*y + 630 = 0. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(110)*1 + sqrt(110))\/sqrt(10).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 72 + 100 = 0. Sort 3, -13, i in ascending order.\nAnswer: -13, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajjjjjajjjjsja. What is prob of picking 2 j and 1 a?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 40. Let s(a) = 22*a**2 + 36*a. Let p = 665 + -660. Let m(f) = -9*f**2 - 15*f. Let o(g) = p*s(g) + 12*m(g). Give t(o(j)).\nAnswer: -4*j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -1 (b) 0.686 (c) -2\/9 (d) 1 (e) 206 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((((c*c*(c\/(c\/(((c**(2\/31)\/c)\/c)\/c)))\/c*c)\/c)\/c)\/c)*c**(-1\/13)*c*c*(c**(5\/6))**(-2\/7) assuming c is positive.\nAnswer: c**(56029\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 + 14 = 4*y, -y + 3*p + 7 = 0. Which is the closest to 1? (a) 0 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.797.\nAnswer: 0.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 451309, -3 in descending order.\nAnswer: 451309, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 2*n**2 - 4*n - 12. Let b be g(-4). Let a = b - 36. Suppose -5*j + 27 - 7 = 0. Put a, 2, j in decreasing order.\nAnswer: j, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179532 and 3834?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1423610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -108 + 124, -w + 4*b - 19 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 1693, 2540, 3391?\nAnswer: 4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -9 - (12 + -2). Let w(v) = -16*v**3. Let l(o) = 559*o**3. Give g*l(n) - 104*w(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 119 and -0.18.\nAnswer: 118.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3 - 1. Let d be (6 - 8) + g + 47. Let j = 63 - d. Solve 5*y - j - 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 1 = 0. Let o = 6 - -2. Let f = y + o. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0129 - 321.9871. Let t = r + 184. Let l = t + 138.1. Is -3.9 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.7 + 11.4. Let x = u - -4. Which is the third smallest value? (a) x (b) 1\/4 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1 + -2 + 1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42106, 5, 0.4?\nAnswer: 42106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 95792212*n**2 + 573509194594700*n + 573509290386916.\nAnswer: 4*(n - 11974027)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209418619.\nAnswer: 13451, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33978*z + 34003*z = 800 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3190, 3153, 3094, 3013, 2910, 2785?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - -4 - (5\/1 - 9). Calculate the highest common divisor of g and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5215045 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 7*g - 5. Let p be k(-6). Let z be 0\/4 - -1 - 25. Let x be 6\/z - (-2)\/(-24). Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 + -138. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, n: 9}. Give prob of picking 2 k.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32839 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -22*h**2 + 38*h - 6. Let a be t(7). Let o = a - -853. What is the greatest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-63))\/(190\/(-2850))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-9) + (-8)\/(-5). Let s = w + -37\/20. Let n be (-3 - -1) + 6\/8. Put s, n, -4 in decreasing order.\nAnswer: s, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*n + 25*n - 77*n - 3*n**3 + 23*n to m + j*n**3 + r*n**2 + d*n and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)\/((-175)\/10 + -4)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 1711*q + 1713*q + 57 - 3*q**2 - 243 + 8*q**2 to w*q**2 + l*q + c and give c.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39023, 49064, 59105, 69146?\n\"Answer: 10041*j + 28982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12544 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from dhhhhrrdhrhh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403213 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1\/22, 1, -0.04, 656?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 9, 9245614*n - 9245613*n = 5*x + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155356969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10013 and 1064.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*g*o**3 - 150*g*o - 3*g + o**4 - o**2 wrt o?\nAnswer: 924*g + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -399493 + 565286. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126*a**2*h + 7*a**2*t - a*h**2 - 3*a*h + 2*a*t + 14*h*t - 2*t - 11 wrt h.\nAnswer: -126*a**2 - 2*a*h - 3*a + 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 9*l - 27 + 42 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -37*h - 30. Calculate the remainder when j(-4) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -270 + 811\/3. What is the closest to l in 4\/3, -1, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10636 divided by -3?\nAnswer: -10636\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -31344\nAnswer: 7\/15672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2945352.\nAnswer: 2, 3, 17, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 146?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5233 - -31?\nAnswer: -5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/322 and 85\/798.\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.98 + 0.98. Let i(j) = 2*j**3 - 7*j**2 - 28*j + 92. Let n be i(4). Which is the nearest to -2\/3? (a) n (b) 2\/13 (c) y (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83 - 6*l + 8*l - 139 to the form o*l + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 8. Let v be (-11 + -2)*r\/1. Let p be -125*(-1 + 2 - v). What is p rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383568336?\nAnswer: 2, 3, 2663669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30 and 83\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -15 - 10, -3*l - 5*k = -844. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10 + 10. Solve 5*x + 16 = -c, w*x + 4*c = -2*x - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 3065 - 16701. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185295 divided by 1123\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14606 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-9)\/54*(-15)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 948, 1206, 1638, 2250, 3048?\nAnswer: 4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33843 - 33843 - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2681.99 + -2750. Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2200)*2)\/((sqrt(100)\/sqrt(2) - sqrt(50) - sqrt(50)) + sqrt(2)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111026472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10185 by 35.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 5*o**2 + 0*o)*(-178*o - 183*o + 390*o + 1).\nAnswer: 145*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - (-84)\/(-35). Let j = -7 + 1. What is the tens digit of d\/12 - 109\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 774235 and 42.\nAnswer: 774277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/853 - -9303\/34120. Let i = t - 3\/40. Let x = -0.2079 + 0.0079. Put i, 1\/2, x in descending order.\nAnswer: 1\/2, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 57, 108, 187, 300?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 16?\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2427, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 749777921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 29101052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1663*h + 1580*h - 930*h + 1008*h.\nAnswer: 3321*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324\/19, -5\/58, -6\/7.\nAnswer: -6\/7, -5\/58, 324\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2156*u**2. Let h(p) = -5*p**2. What is h(o(l))?\nAnswer: -23241680*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 55146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*k**3 - 2*k + 21*k**4 + 33*k**4 + 2*k**2 + 50*k**3 + 26*k**3 in the form v*k + p*k**4 + a + u*k**3 + n*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6566328 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231283 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(208) - sqrt(208))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 107, 370, 883, 1730, 2995, 4762?\nAnswer: 7115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43608\/55 + -8715\/11. Sort 1\/43, -1, -0.4, y, 7\/2.\nAnswer: -1, -0.4, 1\/43, y, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q**2 - 362*q - 362. Determine i(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 - 3.3. Sort a, 0.04, 3, 1\/4 in increasing order.\nAnswer: 0.04, 1\/4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/156)\/11*-15*(-252)\/(-315)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) -0.1 (c) 989 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*u**3 + 2*g**3*u**2 + 37*g**3*u + 12*g**2*u**2 - g**2 + 2*g + 28424*u**3 wrt g.\nAnswer: 24*u**3 + 12*u**2 + 222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 + -383. Let k be (-11)\/(-20) + (-1)\/(-4). Sort l, -2\/11, k in increasing order.\nAnswer: l, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-23)\/y**(-12) assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45445*n**2 - 19892*n wrt n.\nAnswer: -90890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, k: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/16*2\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 + 28398*s**2\/11 - 105262038*s\/11 + 31279279850\/11.\nAnswer: -2*(s - 6937)**2*(s - 325)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k - 8, 10285 = 3*l - 4*k. Suppose 26*p + l = 33*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -258*f**2 - 8. Let q(a) = 2*a**2. Give q(j(x)).\nAnswer: 133128*x**4 + 8256*x**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333641 and 26576?\nAnswer: 806076656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2211?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + ((-2 + sqrt(396) + 0)*4)**2)*-2 + 1.\nAnswer: -25591 + 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:22 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Which is smaller: b or 2\/29?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t - 9. Let z be p(-4). Solve -4*a = -z*a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010000 + 1010111110?\nAnswer: -11011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*y = -24. Let u(b) be the first derivative of 5*b**4\/4 - b**3\/3 - b**2 + 2*b - 2. What is the remainder when u(2) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and -348970.3?\nAnswer: 90732.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 11063\/18682 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 1, k: 1, v: 1, o: 10}. Give prob of picking 1 o and 1 l.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 8*k**2 + k + 10. Let t(h) = -2*h**3 + 11*h**2 - h - 14. Let r(j) = 3*t(j) + 4*x(j). Suppose 0*c + 2 = -c. Calculate r(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 12*w**2 + 23*w + 39. Let v be x(9). Solve v*c - 4*l = 23, 3*c + 4*l = -c - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3172903 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*l - 1959, 0 = 3*l - l - g - 1303. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -58*f - 116. What is the remainder when k(-4) is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10132231111 (base 4) in base 11?\nAnswer: -732348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o + 1. Let v = 28 - 35. Let l be w(v). Let u be (0 - -3)*l\/18. Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*s + 19*s + 37*s + 142)*(-4*s**2 - s**3 + 4*s**2).\nAnswer: -2*s**4 - 142*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by ((36\/(-2))\/((-27)\/(-18)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7\/(q\/(q*q*q**(2\/11)*q*q)*q) assuming q is positive.\nAnswer: q**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 3. What is the remainder when 18 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142567257 less than -142567255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 - 289961*g**3 + 193305*g**2 + 96653*g = 0.\nAnswer: -1\/3, 0, 1, 96653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 2\/13 (b) 0.5 (c) -3 (d) 6037 (e) -0.1 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*(sqrt(171) + 6*(sqrt(171) + 0 + sqrt(171)) - (sqrt(171) + 3 + -2*sqrt(171))) + -5)*5 + -5)**2.\nAnswer: -50400*sqrt(19) + 13407305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.002 (c) 6 (d) 0 (e) 0.4 (f) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 533255.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b + 45. Let c(d) = -d**3 - 15*d**2 - 3*d. List the prime factors of c(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 330872676*o**4 + 371030778 with respect to o.\nAnswer: 1323490704*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24920 and 47\/44856.\nAnswer: 224280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -4)\/(4 + -3). Suppose 3*o - k = -0*o + 96, c*k + 15 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 4, -32 in increasing order.\nAnswer: -32, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1890\/3375)\/(20\/50).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 911958\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-3 - -5 - 0). Let l be i\/(-8)*1\/2. Let s(w) = l*w**2 - 2 + 3*w**2 - w**3 + w**2. Determine s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383620302?\nAnswer: 2, 14939, 46309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4138 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6*132\/(-252)*35 is divided by (145 - -3)*(10\/8 - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6634726 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5 - 9*l**2 + l**3 + 7*l**2 + 10*l**2 + 0*l**3 - 9*l. Let x be a(-9). Solve 6 - 1 = -x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 9108.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62379.41 litres to millilitres.\nAnswer: 62379410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6813 + -3147. List the prime factors of u.\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1829, 14792, 50039, 118730, 232025, 401084, 637067, 951134?\n\"Answer: 1860*o**3 - 18*o**2 - 3*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((160\/(-8))\/10)\/5*-35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/3*1\/(-2). Let r = -1343 + 1343. Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*u**3 - 9*u**4 + 85*u**3 + 66*u**4 + 2 - 2 - 2*u**4 + (3*u - u**2 - 3*u)*(2*u**2 - 4*u**2 + 3*u**2) - 12*u**4 - 72*u + 72*u.\nAnswer: 42*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8551, 6596, 3423, -962, -6553, -13344?\nAnswer: -21329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(154)\/(sqrt(7) - sqrt(28)))\/sqrt(11)*-5 + (sqrt(490)*-5)\/(sqrt(30)\/sqrt(6)*-2).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0730804 rounded to four dps?\nAnswer: 0.0731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144820?\nAnswer: 2, 5, 207241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 2, v: 5, g: 4, o: 1}. Give prob of sequence ohk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 259 + 6 + 1391*d**2 + 160 - 1393*d**2 as v*d + o + h*d**2 and give o.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(36\/(-9))*(-18)\/(-36)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 54, 43, 28, 9, -14, -41?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1d?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 - 21362*x**3 + 128200*x**2 - 170944*x = 0. What is x?\nAnswer: -21368, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 72*r - 301. Calculate z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 0 - 3 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tststtsststsst. What is prob of sequence ssts?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:06 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**2 + 2212*a - 30509. What is o(-123)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495608005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15787214, -15787212, -15787210, -15787208?\nAnswer: -15787206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 32*v**2 + 91666*v\/3 + 5728 = 0?\nAnswer: -2864\/3, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/7 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**5\/4 + 7*s**4\/12 - 7*s**2 - 11*s. Let m(n) be the first derivative of z(n). Find the second derivative of m(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002589 a multiple of 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46132*v - 46138*v + 92264*v + 142*v**3.\nAnswer: 142*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 3, r: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -2*d**5\/15 + 24*d**2. Let t(n) = 6*n - 8. Let x(o) = -2*o + 3. Let q(j) = -3*t(j) - 8*x(j). Calculate q(h(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 4*j**5\/25 + 3*j**4\/5 + 8*j**3\/15 + 5. Determine q, given that c(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(504))\/(-2*sqrt(648) + sqrt(8)).\nAnswer: 9*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399348336 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 40 = -84*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**8\/168 + 2*w**7\/105 - w**5\/15 + w**4\/12 - 7*w**2\/2 - 15. Let z(b) be the second derivative of u(b). Factor z(v).\nAnswer: -2*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235996304?\nAnswer: 2, 31, 487, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(2) + 3 + -1 - sqrt(2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124017424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 - 5*q + 5. Let s be m(-5). Suppose 23 = s*j - 2*y + y, 19 = j - 5*y. Put -4\/7, 1\/3, j in decreasing order.\nAnswer: j, 1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41202 + 2.7?\nAnswer: 41204.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**4\/2 + 1. Let c be t(-1). Let m be 24\/(-18) - 2\/c. Is m at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1209 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59613919?\nAnswer: 37, 1611187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359550, -2876610, -9708628, -23013084, -44947458, -77669230?\nAnswer: -123335880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 43. Let k(x) = -2*x. Determine k(c(v)).\nAnswer: 4*v - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -17*b + 668. Let o be x(39). Suppose 0 = -2*z - c - 10, 4*z + 6 = 2*z + c. Let r = z - -4. Solve -g - j = r, -o*g + 18 + 0 = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94997063497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.045 + -5435.\nAnswer: -5438.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -o - 9, 3 = 759302*o - 759298*o - l - 0*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -15 = -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7692*k - 4. Let p(f) = -f**3 + 7*f**2 - 4*f + 1. Let y = 0 + 6. Let j be p(y). Let o be z(j). Round o to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 67306*n**2 - 4*n + 67309*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 2*s**5 - 5*s**5 + (14513*s + 3*s**3 + 127 - 14512*s + 42)*(-10 + 10 + 6*s**2).\nAnswer: 15*s**5 + 6*s**3 + 1014*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11c57c (base 13) to base 8.\nAnswer: -1502236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 7729 = -r + 7591, -5*a - 1 = 2*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -433, -752, -1073, -1396, -1721, -2048, -2377?\n\"Answer: -j**2 - 316*j - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a**5\/a)))\/a*a*a\/(a**(-2\/11)*a)*a*(a\/(a\/(a\/a**1)))\/(a**3\/a) assuming a is positive.\nAnswer: a**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*f = -3*r + 36677, 0 = -2*r + f + 18335. Let t = 17369 - r. Round t to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 31*y**2 + 30*y**2 + 4*y**2 - 5*y**2.\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaiooqo. What is prob of picking 1 a and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 4.01. Let w = 0.5 - 1. Let i = 291 + -290.8. What is the second smallest value in c, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k + 1240 = 1780 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(90)\/sqrt(6) + (-3*sqrt(75))\/sqrt(5))\/(sqrt(40)\/sqrt(32) + sqrt(180)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -169*a + 4832. Calculate w(29).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6850 and 709450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 0 = 4*j + 27, -2*i - 8*j = 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and (6\/(-9))\/(-1)*(11 - 11792\/(-8))?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiig when four letters picked without replacement from {g: 1, j: 7, y: 6, i: 3}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 1 = 3 - 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11160065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 427130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-216))\/((-5)\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3133, 15\/4 in ascending order.\nAnswer: 15\/4, 4, 3133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s - j, -5*j = 2*s. Suppose s = -9*t - 5*t - 56. Suppose 18 = -6*u - 42. Sort -3, t, u in descending order.\nAnswer: -3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*k + 249 - 249)*(-3 - 2 - 2)*(4 - 5 + 0) as s*k + x and give s.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 15. Suppose -6*j + 381 = -l*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20948 is divided by 113.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t = -26*t + 5841 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 4061.\nAnswer: -3\/4061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/2000 and -41\/10.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + k**4\/8 + k**3\/2 + 151*k**2. Let u be l(2). Solve 3*o = u - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1\/3 (c) 112 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.86 + 0.14. Which is the second smallest value? (a) 2\/7 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 8. Let j = 15 - p. Suppose -3*i + j = -24. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 31 + -35 + (31 - 9).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/10 + 81*o**5\/20 + 173*o**4\/4 + 417*o**3\/2 + 513*o**2 + 616*o. Factor i(h).\nAnswer: 3*(h + 2)*(h + 3)**2*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:49 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28377655?\nAnswer: 5, 73, 77747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/15 + 704*i**4\/15 + 16426*i**3\/3 + 3119684*i**2\/15 - 6488584*i\/15 + 3286064\/15.\nAnswer: 2*(i - 1)**2*(i + 118)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605560 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240443358 to the nearest integer?\nAnswer: 15506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/39*-2*(-1)\/16.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -8 = k*a - 3*a. Let p(q) = -a + q**2 - 3*q + 11 - 7. What is p(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.5. Let g = 519.6 - 520. Which is the biggest value? (a) y (b) g (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - t + 76*t**2 - 117*t**2 as i*t + n*t**2 + l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -12 - (1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4361, -8753, -13145?\n\"Answer: -4392*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/27*(-30)\/11. Let g = 6\/11 - f. What is the third smallest value in 0.2, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j - 34. What is the units digit of t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -536*s - 948. What is the hundreds digit of z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 2173*n**6\/120 + n**5\/20 + 301*n**4\/24 + 5681*n**2. Find the third derivative of g(f) wrt f.\nAnswer: 13038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 * 0.4\nAnswer: 63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14262 and 182986214?\nAnswer: 4754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -542*(5 - (-24)\/(-6)). Let k = 996 + v. What are the prime factors of k?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70976271*u**4 + 141090195 wrt u.\nAnswer: 283905084*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347614619 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuw. What is prob of sequence uw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(78)\/(sqrt(6) + (sqrt(384)*-1 - sqrt(384))) - (0 + sqrt(1872)*1 + sqrt(13))) + -2.\nAnswer: -196*sqrt(13)\/15 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 220, 433, 764, 1231?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7511 - -7243. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**6 + 2*v**5 - 503*v**3 - 2*v**2 - 1423*v - 3?\nAnswer: -480*v**3 + 120*v**2 - 3018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 478*-6\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.792 and -8127093.\nAnswer: -8127091.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 13.8472\nAnswer: -69.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 343*g**2. Let x(s) = 2*s. Calculate x(j(m)).\nAnswer: 686*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*d - 916*d + 458*d + 102 = -2*f, 5*f - 4*d = -241 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10921582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*x + 1008*x - 1888*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1, 0, 4, 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.48, -2\/7, -0.2, 5 in ascending order.\nAnswer: -0.48, -2\/7, -0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 1577776512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-6)*(-24)\/15. Let p(k) = -k**2 + 6*k + 1. Determine p(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-35)\/28 + 35\/(-2 + 7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 4*u - 6. Let p(a) = 4*a + 2*a + a + 11 - 13*a**2. Suppose -3 = w + w - 3*l, -2*w - 4*l = 24. Give w*p(t) - 11*z(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 36*z**2 - 13 + 12.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/78227 - -106623419\/469362. Let l = g - 227. Which is the third biggest value? (a) 3 (b) l (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 33 + 18, 3*i + 245 = -2*v. Let a be -1 + -90 + 0 + 0. Let k = i - a. What is the lowest common multiple of 36 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -67. Suppose -2*l + 9 = -z. Solve x + 3*x + 5*p = l, 5*x + 3*p = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 139 - (-10 + (8 - 0)). Suppose d - 33 = 2*a. Calculate the lowest common multiple of 5 and a.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c - 11. Determine w(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + m + 4, 0 = -3*m - 3 - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 773327, 773328, 773329, 773330, 773331?\n\"Answer: t + 773326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 186, 362, 604, 918?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(16\/3)*(p**(-2)*p)\/p assuming p is positive.\nAnswer: p**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 47675\/49, 1.2 in increasing order.\nAnswer: -0.4, 1.2, 47675\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3614 + -3616. Which is smaller: 2350 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 + 3*b**2\/2 + 63*b + 53. Let a be v(-6). Let j(c) = 4*c + 1. Calculate j(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -19. Let s = -9.999952 - r. What is s rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -45, -4, -1\/10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0188 and -8.349?\nAnswer: -0.1569612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201040 + 5434?\nAnswer: 206474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10552\/1955 - -1\/391. Let k be (-157335)\/18 + 4\/(-48)*2. Let r = -87491\/10 - k. What is the common denominator of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u**3 - 5*u**2 - 162. Let j(c) = -c**3 + c**2 - 1. Let d(o) = -6*j(o) - r(o). What is the derivative of d(s) wrt s?\nAnswer: 42*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(128) + 1 + sqrt(128))**2)*3.\nAnswer: 96*sqrt(2) + 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.3502896 rounded to 3 dps?\nAnswer: 345.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/42840 and 59\/15173928?\nAnswer: 75869640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s + s + 11*s - 60*s in the form v + q*s and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2048636647, -2048636648, -2048636649, -2048636650, -2048636651?\n\"Answer: -o - 2048636646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 810*g**5 + 746*g**2.\nAnswer: 48600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*m + 54, -2*m - 58 = 3*j - 171. What is the hundreds digit of (-95 + -1)*j\/(-40)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -660, -930, -1170, -1374, -1536, -1650, -1710?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, 16 in decreasing order.\nAnswer: 16, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89838 or -89837?\nAnswer: -89838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.78 + -0.22. Let x = u + 6. Let v(d) = -2*d**2 - 3*d - 2. Let f be v(-2). Put x, 0.5, f in decreasing order.\nAnswer: 0.5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2657.6502 months?\nAnswer: 22.147085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041129*-42.\nAnswer: -1.727418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 + 37728013.\nAnswer: 37727954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x**3\/8 - 1809525*x**2\/4 - 17071*x = 0. What is x?\nAnswer: -2\/53, 0, 68284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30002430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12755 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.3 - -5. Let i be -3*(-1)\/(-9) + 0\/3. Let s(u) = u**3 + 31*u**2 - 30*u + 62. Let k be s(-32). Which is the nearest to i? (a) w (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244905, 244909, 244913, 244917, 244921, 244925?\nAnswer: 244929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.57701 months in centuries?\nAnswer: 0.083814175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/97120 and 71\/24.\nAnswer: 291360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 5*a**3\/3 - 3223. Let m(u) = 263*u. What is c(m(i))?\nAnswer: 345845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 1\/11, -2512, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*s - 5805*s - 1085159 = 4466*s - 275227 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y**2 - 5*y + 4. Let k be u(-1). What is the fourth smallest value in k, 2\/13, -2, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 1\/1817, -3\/77, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose 0 = -5*o + i*k + 36, -3*o + 3*k - 2*k = -16. Calculate the greatest common factor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59391912274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/6 - 19*j**3\/2 + 76*j**2. Let a be g(14). Let s be 1\/5 + (-15)\/(-50). Are s and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3*o**3 - 4*o**2 + 7*o + 24 + 1\/4*o**4. Let j(u) = -3*u**3 - 19*u**2 + 16*u - 15. Let h(g) = -5*b(g) - 2*j(g). Give h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0355 - -2.952. Let w = -3 + h. What is w rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 553083703 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1842 divide 21020904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*l + 2, 3*c = -l + 5*c + 2. Let z = -22 - -7. List the prime factors of l - (2 + z*1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -k + h, 9*h + 63 = 4*k + 4*h - 8*h for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 5*z + 23 = 0, -3*a = 3*z + 3. Let l be (-4)\/28 + a\/(-28). Suppose 2*u + r - 5 = l, u + 2*r - 3*r - 1 = 0. Solve -u*t = t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:52 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -35, -72, -129, -212, -327?\n\"Answer: -v**3 - v**2 - 13*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Suppose -19 = -5*y + 5*j - 14, 0 = 5*y - 2*j + 7. Let a(s) = -17*s**2 - 3*s + 3. What is y*h(m) + a(m)?\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 0, -n = 3*q + 3*n - 3. What is the least common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88493?\nAnswer: 88493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36106 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 21. Let m be l(-5). Let o be (6\/m + 1)*6*-1. Suppose 81 = o*p - 3. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/18)\/(1 + 0). Let i = -0.11 - 3.89. Let n = -1.02 + 0.02. What is the closest to n in i, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x + 169*x = 84*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**4 - 209*b**3 - 176*b. Let f(x) = -3*x**4 + 313*x**3 + 264*x. Let i(z) = -5*f(z) - 8*h(z). What is the second derivative of i(l) wrt l?\nAnswer: -12*l**2 + 642*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 8 = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 5. Let v(b) = -b**2 - 16*b - 56. Let l be v(-10). Let w be 2*-5 + 12\/16*l. Let d(c) = c - 7. Give w*t(s) - 5*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17991 + 159443 = -4*c. Let x = 95363 + c. Round x to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8))\/(-5)*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(((-26)\/44)\/13). Let a(g) = g**2 + 9*g - 16. Let t be a(f). Calculate the highest common factor of 66 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 2, 553 in descending order.\nAnswer: 553, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) 27 (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6259 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-14)*1*(-31)\/217*28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 - ((-4 - -9) + 7 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-56)*2*2\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -206731, 7, 0.1, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587390531062 + -0.5?\nAnswer: 587390531061.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:02 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -43. Calculate the smallest common multiple of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + x + 3 + 1)*(0*x + 2*x - 4*x)*(19*x - 2 + 2) to d*x + o*x**2 + c*x**3 + p and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*w = 4*g, 5*g + 5*w = 15. Let a be (-1)\/4 - (-2)\/16*122. Suppose a = 3*p, -g*p + 62025 = 2*r - p. What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Differentiate 0*u**3 + 5 - 2*u**r - 4 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3014)\/4)\/(17\/34). What is the tens digit of s\/(-99) + 2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 - 15*g**2 + 3*g + 6. What is c(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1}. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -31 + 43 + (-1 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/12*(-12)\/(-42)*532\/(-114)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 132, 152, 174, 198?\n\"Answer: p**2 + 15*p + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + k + 317, 4*k = z - 0*k - 124. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8018?\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4310 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248282240 divided by -2458240.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11*o**2 + 104*o + 12. What is the remainder when 453 is divided by y(9)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2241 - 1055. What are the prime factors of o?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(4*t**2 - t**2 + t**2).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2500*y + 1395*y - 47195 - 34600 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four thirds of a year?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*r - 241*r + 542*r + 16*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:05 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4282 divide 280587442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 267170548 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 11, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(-11 - -8) + (-76027)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*w + 90, w + 86 = 5*d - 2*w. Suppose -2*c + 2*n = -d, c + c - n = 11. Solve -c*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 844624 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 21 + 3*q - 72 - 17*q - 71 - 23 to the form k*q + o + d*q**2 + x*q**3 and give o.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7094, 4, -4 in descending order.\nAnswer: 7094, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 720*o - 1 + 729*o + 2*o**3 - 161*o**2 - 1448*o to the form d*o + a + s*o**3 + q*o**2 and give q.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/11 - 10136*q**3\/11 - 2733550*q**2\/11 - 18637500*q\/11 = 0. What is q?\nAnswer: -250, -7, 0, 5325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51651 - 0?\nAnswer: 51651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + 0. Suppose 4*v = 4*q + r, -2 = v - 2*q - 9. Suppose -d - 3*m = -10, -3*m + 2 + 4 = 0. Solve i - p = 5, -d*i + 2 - 10 = v*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((-1 + sqrt(180))*-1 + -2 + -1) + 5.\nAnswer: 29 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1071\/102 - 1*(-2)\/4. Solve 4*v + n = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -305, 0 in increasing order.\nAnswer: -305, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*p = 467*p - 3093390. Is p\/(-39) - (-8)\/52 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnmgmngn. Give prob of picking 3 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/6 + 25*h\/6.\nAnswer: -h*(h - 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 972 and 69417?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 2, f: 2, r: 3, d: 1, v: 3}. What is prob of picking 1 r, 1 d, and 2 f?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/11))\/((u*u\/(u*u\/u**(1\/7)*u))\/u*u))\/(u*u**(-6))**(-1\/41) assuming u is positive.\nAnswer: u**(6339\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28203491?\nAnswer: 313, 90107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 + 18*r - 11 - 4 - 5*r. Let t(q) = 6*q - 6. Let c(u) = -9*t(u) + 4*x(u). Differentiate c(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (388\/1)\/((-16)\/((-8)\/(36\/18)))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 40*l - 18*l - 22*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/13510 and -5\/24318.\nAnswer: 121590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -21*y**2 + 9*y + 12. Let l(c) = -19*c**2 + 8*c + 11. Give -6*a(t) + 7*l(t).\nAnswer: -7*t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.823 - 0.127. Let w = r - -1.35. Let l = w + 27. What is l rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 807933*v**3 + 11*v**2 + 487*v - 13.\nAnswer: 4847598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 6, -1\/5, -2\/7, -1.1.\nAnswer: -85, -1.1, -2\/7, -1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -1\/5 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.546255 rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 3. Let f be v(-1). Calculate the smallest common multiple of 2 and ((-72)\/(-3))\/((-6)\/f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {w: 12, r: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12530.31473 rounded to the nearest one hundred?\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/10 and 65\/8169?\nAnswer: 81690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + 67 - 14) + -41?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-606)\/(-5))\/(21\/280). Suppose 0 = 10*m + q - 17676. Suppose k - m = -k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((740\/(-15))\/1)\/((-8)\/12). Suppose 2*r = 4*d + 120, 0 = 3*r - 2*r + 5*d - x. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 53. Let m(w) = -7*w + 63. Let c(g) = 5*m(g) + 6*q(g). Suppose 2*v - 5*v - 15 = 0. Let b(i) = -2*i - 6. Let x be b(v). Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38075, 76090, 114101, 152108, 190111?\n\"Answer: -2*p**2 + 38021*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276913556 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2087 * -0.182.\nAnswer: 379.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116 is divided by 2008.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - -1747?\nAnswer: 172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {s: 13, b: 2, c: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50211947*j**3 - 85*j**2 - j + 36929 wrt j.\nAnswer: 301271682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4110 and -19\/3410.\nAnswer: 1401510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1539 and 19?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12502?\nAnswer: 2, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*z + 2089*z - 114404 - 105351 = 42133 for z.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12484592 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140000752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 y when four letters picked without replacement from yrlmlyyrm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n. Let k be x(-1). Let a = k - -65. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -564.5267 - 0.0733. Round n to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 4799?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**3 - 5*g**2 - 5*g + 5. Let i(l) be the second derivative of 11*l**5\/20 + l**4\/6 + l**3\/3 - l**2 - l + 49. Give -5*i(o) - 2*k(o).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 12*z - 344. Let m be f(29). Put m, -4, 133 in increasing order.\nAnswer: -4, m, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3035033915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - (4 - -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 3, j: 3}. Give prob of sequence ijmj.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2164 + -2159. Which is the nearest to d? (a) -1 (b) 7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696205?\nAnswer: 5, 139241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2\/5 + 32446*p + 648952\/5 = 0?\nAnswer: -4, 81119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, 30, 98, 204, 354?\n\"Answer: c**3 + 10*c**2 - c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*g + 13 = -0*k, k + 3 = -4*g. Let w(n) = 364*n. Let z(i) = -33*i. Let d(u) = k*w(u) + 56*z(u). Let t(m) = 32*m - 7*m - 28*m. Give t(d(h)).\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 - 2*d - 2. Let u be o(-1). Solve -3 = c - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 24, 9, -24, -81, -168, -291?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5566179.\nAnswer: 1\/5566179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a, 3*f - 37 = -102*a + 103*a. What is the greatest common factor of f and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.08 - -14.01. Which is the smallest value? (a) 4 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) 18 (c) -38\/283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -269024 divided by -7\nAnswer: 38432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2 (b) -2\/15 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.02809 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8901 = -6294*n + 12537*n - 6312*n for n.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001469133624 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - o + 12 = 0, -12*w + 18*w - 4*o - 82 = 32 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4 - 3810*n + 7643*n - 3832*n + 1. Give d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 10*l**3 - 20*l**2 - 10*l + 15.\nAnswer: 5*(l - 1)**2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06328 + 34.94912. Let n = 0.1376 + q. Let y = n - 37. Round y to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61547 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + 2*c**2 + c)*(4*c**2 + 2*c**2 - 5*c**2) + 90*c**4 + 17578*c**3 - 17576*c**3 - 416*c**4 - 2)*(0 + 1 + 2).\nAnswer: -972*c**4 + 6*c**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - 2*-1. Let a(y) = 2*y**3 + 5*y**2 + 5 - h*y**3 + 0 + 2*y - 3. What is a(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-473 + 15)\/((-6)\/(-39)). What is f rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 243.91. Let o = -0.09 - j. Put o, -0.1, 1 in descending order.\nAnswer: 1, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114 - 112)\/((-8)\/36)*-1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110496614 is divided by 808.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7932\/9504 + 4\/18 and -5\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7297*n**2 + 7265*n**2 + 31460*n - 31460*n. Let c(g) be the second derivative of -g**4\/4 + 2*g. Determine m(c(p)).\nAnswer: -288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*d\/(d*d**(-1\/2)*d)*d))**(-35) assuming d is positive.\nAnswer: d**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 171\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 + 1\/12*z**4 - 1\/6*z**3 + 25*z**2 + 2*z. What is the tens digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-60)\/(-130)) + 2)\/(-16 + 25).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77470171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*n = -18, 226*w + 12 = 224*w + 4*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -4. Let n = -14 + 14.3. Which is the smallest value? (a) -5 (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*j - 9 = 0, -2*j - 13 = 4*q - 15. List the prime factors of ((-1127)\/(-14) - 4)*q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.78 * 28.\nAnswer: 21.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 3378\/8 - (-1)\/(-4). Suppose -26*q - t = -28*q. What are the prime factors of q?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1727 - -1726.9. Which is the fourth biggest value? (a) -3 (b) h (c) 1\/3 (d) -72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - k + 17. Let h(p) = p**2 - 4. Let a = -73 + 45. Let m = a + 37. Give m*h(z) + 2*y(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 - 2*x + 1. Let z be f(-4). Suppose -z*c = -30*c. Solve -3*p - 2*b = -5, 4*b - 5 = -5*p - c*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 16*i**2 + 14*i - 29. Give y(15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -348652 equal to -1743263\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 42. Let j be z(7). Suppose j = -7*u + 1398 + 429. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -5079367?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5877*z - 11722*z + 5833*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (4 + 0 - 19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q**(2\/59) assuming q is positive.\nAnswer: q**(-293\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2 and -79\/402?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - b. What is the remainder when 9 is divided by (-3 - b\/2) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 + 6*t - 6. Suppose 0 = y - 5*y - 20. Give p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 545?\nAnswer: -52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/336 - t**7\/42 - t**6\/40 + t**5\/12 + t**4\/6 - 9*t**2 + 340*t. Factor w(d).\nAnswer: -d*(d - 1)*(d + 1)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/7)\/98*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/(t\/(t\/t**(-6))))\/(t**(-1\/2)*t)**(2\/25))\/(((t\/t**(-2\/3))\/t)**(-5))**(4\/5) assuming t is positive.\nAnswer: t**(1022\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*d*k*s**3*z + 22*d*s**3*z - 50*k*s**3*z + 4*k*s**3 - 3*k*z wrt d?\nAnswer: 24*k*s**3*z + 22*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.7. Let i be 5\/(15\/9) - -1. Which is the second biggest value? (a) i (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from mmmehemedd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10623401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)**(-1))**27 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12*o + 16 = -8*o, 6 = -4*h + 2*o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 5:16 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10824\/709 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 698.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -141346?\nAnswer: -141346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 - -0.150251.\nAnswer: -3.649749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 3. Calculate j(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60867574457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zvggezvgbg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12545208 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2711 - 2111. Calculate the remainder when t is divided by 154.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1 - (1 + -5). Suppose 0 = v + 2*x - f, -4*x = -v - 3*v. Let r be (-2 + 9\/3)\/v. Is 0 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38024, -46499, -54964, -63413, -71840?\nAnswer: -80239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t - 1. Let y(j) = -3*j**3 + 3*j**2 - 3*j + 3. Calculate 3*l(m) + y(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 2*v - 2. Give r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/2 + 1 + 1. Let l = p - -3. Suppose 5*x - l - 271 = 0. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 112. Let z = s - -200. Let l = z - 45. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5173194644 to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20602 + 10605. Let v = -6998 - b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1093\/118 + -3\/236. Calculate the common denominator of q and 93\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 6*u**2 - 15*u + 18.\nAnswer: 3*(u - 3)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63596 - 24765. List the prime factors of b.\nAnswer: 13, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293219 is divided by 73189?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 3*s**3 - s**2 + 7 + 4*s**3 + 10*s. Let x = -2 - -8. Is g(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -32. Which is the second smallest value? (a) f (b) 25 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10))**3 assuming p is positive.\nAnswer: p**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 4. Give h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000898 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79 and 0.3.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 2\/37 (b) -1\/2 (c) -4\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*a - 160, r - 3*a = 63 - 6. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(154\/(-1540)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + 4910625.\nAnswer: 4910623.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2247948.6\nAnswer: -6743845.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 283801543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 848 = 4*l - 4*g, 1066 = 5*l + g. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f**3*q**5 + 4663568*f**3*q**2 - 12*f*q**2 + 1758012*q**5 wrt q.\nAnswer: 600*f**3*q**2 + 105480720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -3*s**5\/35 - 1109*s**4\/2 - 7531080*s**3\/7 + 11302443*s**2\/7 - 10602*s. Factor p(d).\nAnswer: -6*(d + 1941)**2*(2*d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203353.\nAnswer: 203353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4*(-9)\/(-12). Which is greater: 12\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24732 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 2. Suppose 8*d - 4*d - 56 = 0. Let m be -3 - (-7)\/(d\/6). Suppose 5*w + 4*i - 3 - 9 = m, 0 = 4*w - 3*i - 22. Determine q(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 1\/6*m**3 + 0*m + 0 + 5*m**2 - 1\/8*m**4. What is the first derivative of a(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113591\/279 at least 11161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355 by -71.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*j + 1)*(3*j**2 - 5*j**2 + 0*j**2) - 7*j**3 - 2 - 3*j**2 + 19*j**3 - 14*j**3 in the form y + t*j**3 + n*j + k*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8443*l + 3549*l - 3078*l.\nAnswer: -7972*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -720 - -1012. Let h = -340 + 491. Let y = f - h. List the prime factors of y.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.314 - 0.914. Let r = -4777\/7 + 684. Let n = r + -151\/105. Put f, n, -0.1 in increasing order.\nAnswer: -0.1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19196*n - 3147*n - 2976*n - 3310*n.\nAnswer: -28629*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/8 (b) 2\/9 (c) 9 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/15)\/((-6)\/5))\/(15\/(-9))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 - 202.4. Let z = 42.4 + h. Which is the closest to z? (a) -0.4 (b) 4\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123632*l*s**2 + l*s - 21*l - 44*s + 2 wrt s?\nAnswer: -247264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 + 3*x - 2. Is k(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -712463792.66 and -77.\nAnswer: -712463869.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 6, 0.07, -2, -2.5 in decreasing order.\nAnswer: 6, 0.1, 0.07, -2, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5439785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1140?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 625787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 25661.\nAnswer: 25661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 - 3*l. Suppose 76 = 13*a + 24. Let q(g) = 0*g + 2*g + a*g + 0*g - 8*g. Give s(q(u)).\nAnswer: -44*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052545.87 rounded to the nearest one hundred?\nAnswer: 1052500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 3. Let s be 165\/(-15) - (-7 - 3). Let j be (-4)\/(-1) + -4 - 0. Sort t, j, s in decreasing order.\nAnswer: t, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 6. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032.933839 rounded to the nearest 10?\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 70.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = 2*b. Let a = b + -7. Suppose 2*q - 1026 = k, 2*k = 4 - a. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:08 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -4. Let q(b) = b**3 - 12*b**2 + 8*b + 37. Let l be q(r). Solve -2*j + 0*j = -v, l*j - 24 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + (-93)\/(-66)*-1 and 59\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(667\/(-174) + (-3)\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -30*p + 1198. Let a be h(40). What is the fifth smallest value in -3, 4, a, -1\/3, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.783 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.36 - -0.06. Let m = -1.5 - u. Let z = 11180\/23 - 486. Which is the third biggest value? (a) -4 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k - 153 = -190. Solve 0 = a - 4*p + 6*p - k, 0 = -3*p + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2946899251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 6*d. What is the nearest to d in -1\/5, -1\/4, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3204927 is divided by 7541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3461260 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1001101010100101010 (base 2) to base 7\nAnswer: 2456236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665510337 - -5623.9?\nAnswer: -1665504713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3559\/65 + -273\/5. Which is the nearest to 9? (a) d (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.018 - 0.124. Is 1\/3 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849407 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1737, 1746, 1767, 1806, 1869?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:10 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781012461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-7) - (-21)\/49. Solve 0*m - 1\/3*m**w + 0 - 2\/3*m**4 + 0*m**2 - 1\/3*m**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j. Let y(l) = 26*l. Let n(u) = 8*d(u) + 3*y(u). Let w(c) = -c. Give w(n(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -20 + 55. Is 7 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/27*8*(-3)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/6 + 2*u**3\/3 + 3*u**2\/2 + 14549*u. Let t = -1 + 1. Suppose p - 1 = v, t = v - 3*v - 8. Calculate o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560\/(2660\/(-38))*-19*-1*(-1)\/(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/3 + 3*k**2 + 2*k. Let z(q) = 2*q + 1 - 7*q - 6 + 2*q + q. What is 4*o(d) + 5*z(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10 = 5*f, 3*r - 51 = -4*f - 42 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001241229 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 1, k: 1, n: 3}. Give prob of picking 1 e and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -5 - (11 + -25 + 5 + 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/281 - -3383\/3091. What is the common denominator of 11\/7 and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1\/(-9) - 1. Let x be (-3)\/(-2)*(-14)\/(-3). Suppose x*d = 3*d - 8. What is the second smallest value in r, -0.5, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3257340 - 3254635.849. Let c = -2693 + g. Let s = 0.251 - c. What is s rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620483455?\nAnswer: 5, 53, 2341447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-1))\/(1 + -2). Let j = 1 - l. Is 94\/6 + (-2)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1. Let f(s) = -s + 14. Let x(c) = f(c) + 3*o(c). Is x(0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103.7 times 0.3\nAnswer: 31.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.03 - 1.4507?\nAnswer: -3.4807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417159.\nAnswer: 1417159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19117700 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1. Let z(w) = -3*w**2 - 3*w - 2. Determine -3*g(i) + z(i).\nAnswer: -3*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:18 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (34 + 1 - (-10 + -188 + 225))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(700) + 0)*4 + 0 - ((sqrt(700) - (sqrt(700) + 1 + 2)) + 5)*-6)**2*-2.\nAnswer: -22978 - 2720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26765646 or -26765654?\nAnswer: -26765646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(300) + 4 + sqrt(21)\/sqrt(3))**2.\nAnswer: 48*sqrt(7)\/5 + 652\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 6.1\nAnswer: 2.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*p - 15. Let f be (-90)\/p - (-1)\/(-3). Suppose -141 = -f*c - o, c - 3*o + 94 = 3*c. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 - 10*p**3\/3 - 4*p**2 - 6*p - 41. Suppose n = -n + 22. What is the tens digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**2 - 2*m + 6. Let w be o(-3). Let r = 205 - w. Suppose -t - a = -r, 2*t + 0*t - 4*a - 212 = 0. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 - 2*m**2 + 5*m**2 + 3*m**2.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 1590\/(-225))*-39.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342152298?\nAnswer: 2, 3, 41, 157, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcec when four letters picked without replacement from cfefeukcce?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 5*x - 19. Let o = 189 + -110. Calculate the remainder when o is divided by y(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzc. What is prob of sequence ch?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036109916 to seven dps.\nAnswer: -0.0003611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/(-20) + (-158256)\/(-64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = 17*m - 2*w + 96, 5 = -9*w + 5 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/1989*(-564)\/(-1598)?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 20. Let i be t(-9). Let d be (-2)\/i + 14 - -4. Let g = d + -15. Sort -1, 0, g in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqnqqqqqnqqqq. What is prob of picking 1 n and 2 q?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53 + 141 - 2*z - 72)*(1 - 1 - z)*(1 - 4 + 0) as i*z + s + h*z**2 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5, -4.\nAnswer: -4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfnnnnffn. What is prob of sequence nn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 607301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74426*c*v*x**3 + 2*c*v + 5*c*x**3 - v*x**3 + 26306*v*x**2 + v*x - 344*x**2 wrt c?\nAnswer: 74426*v*x**3 + 2*v + 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32565 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4448*f**2 + 9 - 8623*f**2 + 4284*f**2 - 9.\nAnswer: 109*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67231 + 33386 - 4*f + 33845.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 4.5, 1, -0.2, 27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**2 - 2*l**2 + 0*l**2)*(10 + 19 - 2) + (-2*l - l + 4*l)*(-4*l + 3*l + 2*l) - 2*l**2 + 2*l - 2*l to the form r*l**2 + h*l + a and give r.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 398, 393, 388, 383, 378?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -242. List the prime factors of i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*l - 43*l + 2*z + 31310, 5*z = -4*l + 41716. What are the prime factors of l?\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**3 + 4*s**2 + 7*s + 38. Let i(x) = -3*x**3 - 5*x**2 - 7*x - 37. Let y(c) = 2*a(c) + 3*i(c). Let v be y(-7). Solve 0 = v*w - 5*w + 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + p - 6 = 0, 4*h - p = -3*p. Sort -5, 6, h, 3.\nAnswer: -5, h, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1666 (base 8) in base 7?\nAnswer: -2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*g - 4, -2*g - 5*z + 30 = -0*g. Suppose 1 = -2*p - m, 3*m + 2 = -g*p + 1. Which is smaller: 4\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 1313420?\nAnswer: -1313330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 42. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1272, -1642, -2208, -2928, -3760, -4662?\n\"Answer: 7*p**3 - 140*p**2 + p - 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12390 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*b - 17 = 0, -5*b - 40 - 34 = 4*f. Let t be 6\/1 - 42\/f. What is the highest common divisor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r + 2 = 2*k, 8 = 2*r. Suppose -k*w = 12*w - 4*w. Suppose 5*j + 49 = 2*d, 5*d - 6*j + 2*j - 114 = w. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 9*d - 2*d)*(0 - 2 + 1)*((1 - 1 - 1)*(3*d**2 + d**2 - 2*d**2) - 64*d**2 - 110*d**2 - 26*d**2) in the form m + s*d**2 + i*d + l*d**3 and give l.\nAnswer: -2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.134 + -89.866. Let p = h - -89.8. Let n = 0.200024 + p. What is n rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -48. What is the remainder when 65 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 + 9 = 0. Let f(p) = -k*p**2 + 9*p - 2 + 4 - 6*p. Let z be -2 - (6 - 6)\/(1 + 0). Determine f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*k + 55 = -13, k = 2*t + 34. Let z = t - -29. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 573*y**4 - 27025*y**3 + 522885*y**2 + 1749266*y + 1199928 = 0.\nAnswer: -519, -68, -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*o + 31*k - 26*k, -20 = 3*o - 4*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*x + 14 = 0, -h - 1 - 3 = -x. Let n = 0.24 + -1.04. Let y = -0.86 - n. Which is the second biggest value? (a) 2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18283 - -18293. Solve 2*w = -3*x + 18, -2*w + 26 = r*x - 5*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2415 and 1.\nAnswer: -2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let n be 2\/(-10) + 27\/85. Let u = 3425\/7 + -489. Which is the fourth biggest value? (a) -2 (b) s (c) u (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + -108282?\nAnswer: -108251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**3\/3 - 4*h**2 + 5*h - 2. What is q(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/125 - 18\/5 - 1)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t - 1. Let k = 2024 - 2025. Let p(c) be the third derivative of -c**6\/20 - c**4\/24 - c**3\/6 - c**2. Calculate k*p(j) + n(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wly when three letters picked without replacement from kwjjjljydjjjjljjyjkj?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2863 + -2858. Let h = 0.1 + -0.1. What is the smallest value in s, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -523 - -3?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h - 9 + 3*h + 5*h + (4*h - h - 5*h)*(2 + 2 - 1)*(-135 - 260 + 1507).\nAnswer: -6671*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 552464943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5\/6, -1, 47, -2\/7 in decreasing order.\nAnswer: 47, 4, -2\/7, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2488304\nAnswer: 12441520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -7 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (3 + -4 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 1 + 6 + 5 + -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 2*z**4\/3 + z**2\/2 + z. Suppose 2*x + 5*d - 20 = -3*x, -3*d - 20 = -5*x. Let p = -3 + x. What is a(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(0*l + l + 0*l) + 3*l + 2*l - 2*l - 3*l + 3*l - l)*(-2*l**2 + 2*l**2 + 21*l**2)*(0*l + 3*l - 2*l).\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*h - 214*h - 201*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -2 - (-19 + -10 + 31 + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 436829.6 millilitres in litres?\nAnswer: 436.8296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 15. Determine c(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:03 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.9. Which is the fourth smallest value? (a) 0.4 (b) o (c) 2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 33) + -10 + -21 + 29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147515*p**5 + 29289*p**2 + 4*p.\nAnswer: -8850900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42299420 and 40.\nAnswer: 84598840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + w - 1. Let o(f) = -5*f**3 - 4*f**2 + 6*f + 10. Give 2*l(j) + o(j).\nAnswer: -j**3 - 4*j**2 + 8*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 - 440*p + 598. Give z(-75).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.03 + -1.05. Let j = 0.32 + v. What is the smallest value in -0.12, 2, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 33. Let f be 5 + -7 + -2 - -7. Suppose -v + 3*s = -49, f*v - y*v - 69 = -s. What is the lowest common multiple of v and 2?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccvmccm. What is prob of picking 1 c and 2 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 269, -3, 2 in decreasing order.\nAnswer: 269, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -38370?\nAnswer: 38382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - 11. List the prime factors of w(5).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 5*m + m - 5*m**3 + (6*m - 3*m - m)*(-2*m + 2*m**2 + 2*m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.1 and 5?\nAnswer: -65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45633.54um?\nAnswer: 0.04563354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 + -291.98. Let q = -2 - -2.02. Let v = q - p. Which is the second biggest value? (a) 2 (b) 1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23045 - -23050. Solve b = -f + 5*b - q, 2*f - 29 = -5*b for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 99?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.44007462 times 1\nAnswer: 0.44007462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:23 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 0. Let w = -14 - v. Let d be -4 - (2 + -6 + w). Let s(i) = 4*i. What is s(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*m - 5*m + 3*m)*(24*m**2 + 7*m**2 + 20*m**2)*(-2*m + 0 + 0) as b*m**4 + w + x*m**3 + h*m + c*m**2 and give b.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -13 + 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 10*m**2 + 11*m + 14. Let f be 0 - 3 - -13 - -1. Let o be b(f). Suppose 4*g - 2*p = 38, -3*g = -2*g - 5*p - o. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132066 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/92 and 17\/23768.\nAnswer: 546664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, -99, -135, -185?\n\"Answer: -7*m**2 - m - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m + 5. Suppose 7*d - 1 - 41 = 0. Let x(k) = 13*k - 4. Give d*n(g) + 7*x(g).\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3041, 3018, 2983, 2930, 2853, 2746, 2603?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 c when four letters picked without replacement from mooocmyoxcyooc.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-10) - (-2)\/5. Suppose -p - 4 = -k*p. Suppose p*m = 2*m. Solve 0 = 4*z - 4*i + 16, 4*z + 3*i - 2*i + 6 = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -10*d + 623. Suppose 0 = -5*s + 5*l + 10 + 125, d = 3*s + 5*l. Solve -4*z = -b - 3*b + s, 22 = -4*z + b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 6. Let i(a) = 13 + 18 - 11 - 2 - 20*a. Calculate 5*i(h) - 14*z(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*(-4)\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 328, -4, 3 in descending order.\nAnswer: 328, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 660, 841, 808, 495, -164, -1235?\nAnswer: -2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9785 and 48410?\nAnswer: 919790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 7*l = 21. Suppose -5*z + 4*z + 17 = 3*b, -l*z + 11 = -b. What is the third derivative of -2*y**5 - y**5 + y**5 + 10*y**2 - y**z wrt y?\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p - 1\/2*p**2 - 1\/3*p**3 - 3. Let u(c) = -2*c**3 + 4*c**2 + 4*c + 4. Give -u(a) - 4*z(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-7 - 0) + (-26)\/(-1638)*413.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:18 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 5, -3, -15, -31?\n\"Answer: -2*b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 - -0.02. Let q = 54 + -56.1. Let k = 2 + q. What is the nearest to k in 0, j, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 9\/6) + (-247)\/(-114). Which is the second smallest value? (a) 1 (b) v (c) 3\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6. Suppose -8 = a - j*a. Calculate the highest common factor of a and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 6 - 1\/12*p**3 - 11*p - 1\/40*p**5 - 3\/16*p**4 + 1\/42*p**7 + 3\/40*p**6 + 0*p**2. Solve x(w) = 0 for w.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8*a\/((a*(((a**7*a)\/a)\/a)\/a)\/a)*(a**(-14\/11)\/a)**(1\/47) assuming a is positive.\nAnswer: a**(2043\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 28*m**2 + 55*m + 57. Let n be o(-27). What are the prime factors of -5 - (n\/3 - -1)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285295*u**4 - 5*u**3 + 215*u**2 + 14538?\nAnswer: -6847080*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/9))\/b**(6\/5))\/((b\/(b**(3\/8)*b*b))\/b**(2\/25)) assuming b is positive.\nAnswer: b**(2059\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.871723*2\nAnswer: 3.743446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 305 and 915.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.5. Let a = n + -0.3. Let b = -0.5 + a. Which is smaller: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12330414 (base 5) to base 16.\nAnswer: -1d79e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from {j: 2, c: 3, a: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -7776229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -8*z + 6*z - 9, -5*d + 15 = -4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h\/(h**(-3\/8)\/h*h))\/h)\/h*h)\/h)\/h*h\/(h\/(h**0*h)) assuming h is positive.\nAnswer: h**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = -3. Suppose 4*j + 9 = t*j. Is (j*3\/9)\/(2\/3790) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/10)\/(4\/(-10)). Let a be (-2 + z)*3\/15. Solve 3 = -4*j - a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-1554159.37\nAnswer: 31083.1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**2)*v)\/v*v\/(v**8*v))\/(v**(-8\/7)\/v*(v\/(v*v**(-2\/11)))\/v) assuming v is positive.\nAnswer: v**(-696\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-18))\/((-108)\/18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let y = 0 + a. Solve -5*j - f = -y*j - 14, 5*j - 23 = -2*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 45. Suppose 2 = 3*k + x - y, -2*k + 5*x = 1. Let d(q) = q**2 - 3*q + 4. Let u be d(2). Solve j - 13 = k*p, 2*p - p = -u*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 2041, 4, -0.7, 0.5 in descending order.\nAnswer: 2041, 4, 0.5, -0.1, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/103? (a) -49 (b) -2\/5 (c) -1 (d) -9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5247840 divided by 1040.\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25254013 minus -4?\nAnswer: 25254017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) 8\/47 (c) -2\/7 (d) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/40 + 3\/4 - 585\/(-75).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 1. Let t(x) = -x**2 + 8*x - 100. Let d(s) = 6*g(s) - t(s). Is d(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d**4 - 33821*d**3 + 51646*d**2 + 185400*d - 105984 = 0. What is d?\nAnswer: -1472, -2, 12\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 701142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h - 2*r - 69, 0 = h - 2*r + 9. Let d be 6 + 1*-2 + 0\/h. Suppose -33 = -d*v + 7. Calculate the greatest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9941 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.247095 and 8872495.\nAnswer: 8872501.247095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4962521 and 571778.\nAnswer: 4267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -54, -16 in increasing order.\nAnswer: -54, -16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 8440*h - 1639964. Determine m(199).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 4*y**2 - 6*y - 6. Let r be f(-5). Let o = 5 + r. Differentiate -o*g**3 - 3*g**3 + 3 + 2*g**3 + 4 wrt g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 37*m - 171. Calculate n(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/8*(-70)\/(-4). Let l = w + -15. Let y = 29 - l. Calculate the greatest common factor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 108*o + 558. Calculate r(-113).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 g, and 1 a when four letters picked without replacement from gwwwwawgggg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2215793 and -2215920 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 - 65970*c**2 - 7*c - 679 wrt c?\nAnswer: 12*c - 131940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:14 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 769462.7 to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 39 - 169992*i + 6*i**2 + i**3 - 4*i**2 + 3*i**2 + 170006*i + 2*i**2. Calculate q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**4 - 11*z**3 - z**2 - z - 2. Let m(d) = -6*d**4 + 23*d**3 + 2*d**2 + 3*d + 4. Let t(p) = -6*m(p) - 13*v(p). Factor t(o).\nAnswer: -(o - 1)**2*(o + 1)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25805 + -25389. What is the highest common factor of y and 2834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -4*b = v*g + b + 6, g + b = 3. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266016 and 55824?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22.87643km?\nAnswer: 22876430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/45)\/2*3\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-1) + 9\/1. Suppose -5*u - 12 - 28 = 0. Let v be 4 - (4 - u)\/o. Let h(p) = p + 18. Give h(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)*b)\/(b*(b\/(b**(-9)*b))\/b)*(b**(-7))**(2\/13) assuming b is positive.\nAnswer: b**(-839\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2273 - 1780 + 1544)*(d + 0 + 0).\nAnswer: -2509*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 8*i + i + 4.\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 1, g: 4, b: 2, v: 2, h: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 450*o - 16875.\nAnswer: -3*(o - 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105495949?\nAnswer: 1105495949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3456)*2 - sqrt(3456)))\/(sqrt(768) - -2*-2*sqrt(768)) + 1.\nAnswer: 1 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 9*m - 3*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4059 and 1476?\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*i = 2*x - 46, -4*x = -2*i - 98. Let k = x - 22. Let o(s) = -s**3 + 4*s**2 - 2*s + 2. What is o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6\/7))\/((h\/h**8)\/h)*(h\/(h\/h**(3\/4)))\/(h*h**(1\/2)*h*h) assuming h is positive.\nAnswer: h**(151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u - 3. What are the prime factors of t(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 688?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 1. Let a(f) = -10*f**2 - 4*f + 4. Let w(s) = -2 - 3 + 1 - 3*s + 7 - 7*s**2. Let l(c) = 5*a(c) - 7*w(c). Determine -2*l(x) + 3*m(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*c**5 - 34*c**4 + 2*c**3 - 69903*c**2 + c?\nAnswer: -6900*c**2 - 816*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3929\/21 + 563\/3. What is the closest to 5\/3 in d, 5, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18334081*y. Let p(t) = -3*t**2. Determine p(u(f)).\nAnswer: -1008415578343683*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -364466584.\nAnswer: 364466584.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 927*c - 21698. Give t(-24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) + (-95)\/266?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, b: 3}. What is prob of sequence bb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 4*q**2 - 21 + 18*q**2 + (3 - 2*q - 3)*(-q + 2*q + q).\nAnswer: 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1. Let p(n) be the second derivative of 5*n**3\/3 - 2*n**2 + 14*n. Let b(r) = 2*l(r) - p(r). Does 11 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405700169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.232 + -0.768. Which is the closest to 35? (a) d (b) 2\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w + 10. Let i be p(7). Let f be 2 - 1\/(45\/12 - 4). Suppose -444 = i*o - f*o. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (752700\/832)\/75 - (-1)\/(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 29*f + 1. Let q be k(16). Let j = q + -40. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 + 1. Let r be o(-1). Solve r = -3*v + 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221698847 - 221698847 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and -14.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -51, -84, -133, -204, -303?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12499662?\nAnswer: 2, 3, 7, 359, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/6*12\/(-8). Suppose -3*l + 35 = 5*c + 9, -c - 6 = -x*l. Suppose -10813 = -c*n + 9187. Round n to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*l + 3*z - 8*z, 4*l = -5*z - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -21*p + 865. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, -9\/37, -152\/147?\nAnswer: -9\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/8 and -35\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 9. Let k be 4*3\/2 - 0. Let p be t(k). Suppose -3 = 2*w + 4*g - g, -2*g = -4*w + 2. Solve w = -o - o - m + 12, -p*m = -6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/(h**(-3)\/h))\/((h**0\/h)\/(h**(-5)\/h)) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 116 - 278. What is the remainder when (-1)\/4 + 711\/12 is divided by 822\/y - (-2)\/(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 19142367.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75692.52 micrometers in nanometers?\nAnswer: 75692520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4033807 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -11, -54, 13, 0 in increasing order.\nAnswer: -54, -11, 0, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - -15)*(1 - -157).\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 2. Let u(h) = -6*h + 17. Let d(j) = 5*r(j) + u(j). Let v(s) = -3. Let z(g) = 2*d(g) + 18*v(g). Let f(m) = -27*m**2. Calculate z(f(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 3) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17424 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 47*x - 1. Calculate y(-24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-55) + 30\/1425*19.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 4*z - 4, -z = -2*f + 1. Let s(o) = f*o**2 + 2*o**2 - o**2. Let k(i) = 5*i - 10*i + 4*i. Calculate s(k(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.36 - 33.36. Put -6, 2\/105, 1\/4, g in decreasing order.\nAnswer: 1\/4, 2\/105, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301 (base 5) in base 14?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11376076 - -341316239\/30. Let k = -3371\/3 + y. Let q = 271\/5 + -877\/10. Find the common denominator of q and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.3. Let h = -0.2 + p. Suppose 0*m + 2*m + 6 = 0. What is the second biggest value in h, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 73 = -18 - 29 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7486.941 - 7484. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 22 - 21 - 20 - 15*b**2 - 5*b**2.\nAnswer: -20*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 + 56*s - 56*s)*(s**2 + 3*s**2 + 0*s**2).\nAnswer: 28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-2 + -2 - (2 + sqrt(5)*2 - (sqrt(800) - sqrt(50))\/sqrt(10)).\nAnswer: -21*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/386430 and 38\/87825.\nAnswer: 1932150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*o + 77 = -639*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -6*f**3\/17 - 5524*f**2\/17 - 1273280*f\/17 - 846400\/17 = 0.\nAnswer: -460, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 88. Let a(v) = 3*v**2 - 177. What is 2*a(b) - 5*p(b)?\nAnswer: -4*b**2 + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 115. Let x be j(31). Suppose 5*m + 8 = 4*m. Let w be m*(-4)\/(-8) + 16. What is the greatest common factor of x and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 - 6*k + 5. Suppose 2*d = 5 + 7. What is the least common multiple of 5 and x(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxil when four letters picked without replacement from enknxnlelleleni.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191*f**6 + 566*f**4 + 5*f**2 + 255*f - 2.\nAnswer: 22920*f**3 + 13584*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/45*-1*(-2)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 1025*j**3 - 40395*j**2 + 269505*j - 417690 = 0 for j.\nAnswer: -39, 3, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/35 and 99\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 + -1 - 1) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-16)\/(-20) - 101\/5. Let g = a - -31. Let s(q) = -q**2 + 5*q - 5. Let l(f) = -f + 1. Calculate g*l(m) + 2*s(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 55*s - 127. Determine r(6).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43530 and 29020?\nAnswer: 87060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66\/223 + 1568\/3791. Let h = 227\/14 + -33\/2. What is the third smallest value in h, w, -4, 6\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.4 + 28.38. Sort 2, t, 0.3, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2989 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q**2 + 2*q)*(-4 + 1 + 1)*(-2 + 1 - 1)*(4 + 11 - 13) + 25*q**2 + 17*q - 17*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*t - 29264 - 14175 = 7205 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -160, -177, -214, -277, -372, -505, -682, -909?\n\"Answer: -h**3 - 4*h**2 + 2*h - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/12 + p**3 - 8*p**2. Suppose 14 = -41*n + 34*n. What is the smallest common multiple of 11 and r(n)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i + 2. Let p(y) = 2*y**3 + 34*y**2 - 5. Let g be p(-17). Let c(o) = -11*o + 3. Let t(l) = l**2 + 3*l - 2. Let x be t(-5). Give g*c(d) + x*j(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*w + 6*w - 18 = 0, 0 = -q + w - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 90.796. Let s = d + -0.096. What is the second smallest value in 1.1, s, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -2*b - 63*r, 98 = b - 4*b + 3*r + 2*r + 16 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -2190, 5, 3, 0 in ascending order.\nAnswer: -2190, -43, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 15 + 36. Suppose c + 3 = 2*d, p*d - 4*c - 12 = 3*d. Let y be (0 + d)\/(4 + -6). Solve -3 = -w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1628, -3244, -4826, -6356, -7816, -9188, -10454, -11596?\nAnswer: -12596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-382)\/764).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 28*r + 9. Calculate x(-9).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 194 = -292. Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/21 - (-48)\/(-63). What is the closest to y in 0.16, 3, 5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1227547 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 201 - 9. Let k = 62 + p. What is the hundreds digit of (k*1)\/(-2) - (-959)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 25*a - 94. Let s be p(4). Let k be (s - 0)*9\/(-15). Solve -20 = k*f - 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -12. Let v be ((3\/k)\/1)\/((-3)\/72). Suppose 0 = u - 3*u + v. Solve -u*o + 22 - 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -351 = 2.1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65264.\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93242 rounded to 1 dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 153*a - 147. Let u be v(-65). Is 1350 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 48, 1\/9 in decreasing order.\nAnswer: 48, 5, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -62d7?\nAnswer: -62dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -2 + (-23 - -2 - -6).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjuqqqqqqujqxtt. What is prob of picking 2 j and 2 t?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 1:16 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 8*z**2 + 14*z + 19*z**3 + 3*z - 4*z**4 - 60*z - 5*z - 3*z**3 - 36 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111000100010110000001 (base 2) in base 16?\nAnswer: -3c4581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2597204 = 160*r + 276*r - 11125800. Is r a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 193. Is q a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 22324 + 20526 - 7708 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 55 = -o. Suppose -2*f - o = -3*m, f + 0*f + 13 = 4*m. Solve m - 4 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398 - -1555. Suppose 0 = 10*k + 21*k - q. Suppose 26 = 3*z - z. Calculate the remainder when k is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/88)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512117?\nAnswer: 37, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 3\/2 (c) -1\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 2. Give f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 12:56 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 77169191*m**2\/4 + 154338379*m\/4 + 77169189\/4.\nAnswer: (m + 1)**2*(m + 77169189)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -526, -1257, -2300?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 137, 494, 1099, 1958, 3077, 4462, 6119, 8054?\n\"Answer: c**3 + 118*c**2 - 4*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.126 in -0.3, -22\/137, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 745 = 3*z, -245 + 753 = -2*z - 5*j. What is the hundreds digit of 1436\/6 - 0 - 166\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/21*-3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395494644 rounded to the nearest 100000?\nAnswer: 395500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 10 = 2*j. Let x = 2 - j. Let a = x + 16. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 13284*a**3 - a + 13285*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29255 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 4\/4 - 3. Let d(j) be the first derivative of -i + 0*j + j**5 + j**2 - 2*j**4 + 1\/3*j**3. Factor d(b).\nAnswer: b*(b - 1)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -7*t - 35, 0*i + 3*i - 20 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 113*i - 4*i**4 - 113*i + 4*i**4 + 7*i**2 - 7*i**2 + (-7*i**2 + 5*i**2 + 5*i**2)*(i**2 - 2*i**2 + 0*i**2).\nAnswer: -3*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053929 is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {v: 3, d: 3, i: 5, b: 3, j: 3, s: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {w: 2, s: 2, j: 2, e: 1, b: 3, k: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/5 + 141*x**3\/5 + 8661*x**2\/5 + 24951*x\/5 + 16434\/5 = 0.\nAnswer: -33, -2, -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/619 in 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15232 divided by 224?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -101. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 144.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 8. Suppose -3*j = -b - 82. What is the common denominator of 14\/(-4)*(-18)\/j and 49\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and -125\/456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5135494, -5135495, -5135496, -5135497, -5135498?\n\"Answer: -y - 5135493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 7894.\nAnswer: -6\/3947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62663777 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51576.4m in millimeters?\nAnswer: 51576400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 3 - -79 - 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 155. Let p be 45\/(-28) - -1 - 162\/(-216). Find q, given that 1\/7*q**5 - 4\/7*q**4 + p*q + 6\/7*q**r - 4\/7*q**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 310760 or 310761?\nAnswer: 310761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 44*a**2 - 42*a**2 + a - 7 + 4*a. Let f(w) = 3*w**2 + 4*w - 6. Let u(d) = 4*b(d) - 5*f(d). What is the derivative of u(y) wrt y?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -683210 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*q - 3829633 - 584*q + 3829633.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m**2 + 3*m - 1. Let k be v(-1). Suppose 23*a = k*a. Suppose 0 = 5*f + 5*n - 5557 - 4173, 4*f - 3*n - 7805 = a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1420 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82103*b**3 - 3*b**2 - b - 816406.\nAnswer: -492618*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 91?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -25*q**5 + 32580*q**4 - 3088620*q**3 - 8851760*q**2 - 5088000*q = 0.\nAnswer: -2, -4\/5, 0, 106, 1200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13961*y + 13956*y - 65 + 370*y**2 + 5*y**3 - 305.\nAnswer: 5*(y - 1)*(y + 1)*(y + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-135096.9.\nAnswer: -21615.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3088)\/(-112) - 8\/14. Let o be (6\/9)\/(6\/g). Factor 78\/7*j**2 + 3*j**o - 24\/7 + 60\/7*j.\nAnswer: 3*(j + 2)**2*(7*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 times 7\nAnswer: 7707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4 and 89\/31500.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 - 124. Find the common denominator of -33\/5 and (k\/64)\/((-2)\/152).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.89 rounded to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.38 + -0.38. What is the closest to l in -0.8, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - h - 18, 154*j + 4*h + 29 = 446 + 159 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2\/f)\/f)**24\/(f\/(f\/f**3)*f\/(f\/(f*f**(-4)))*f)*(f**2\/(f*f\/f**(4\/5)))\/(((f\/f**(-1\/4))\/f)\/(f\/((f\/(f\/f**5)*f)\/f*f)*f)) assuming f is positive.\nAnswer: f**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5967.9584 - 5980. Let l = -11.7 - c. Round l to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 1. Let t = -1 - 9. Calculate the lowest common multiple of 35\/14*(-28)\/t and s(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117712 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2409, -3, 3, 11, -1 in descending order.\nAnswer: 2409, 11, 3, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -9.1. Let n = -1.8 - r. Let p = n - -1. What is the third smallest value in p, 3\/2, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w. Let m(i) = 2169*i. Calculate g(m(l)).\nAnswer: 17352*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 2. Let t(v) = 5*v + 4. Let q(a) = 5*b(a) - 3*t(a). Let r(m) = 3*m + 1. Give -5*q(j) - 8*r(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8033508*a + 0 - 8033707*a)*(-4 + 2 - 5)*(-1 + 3*a + 1) to u*a + z*a**2 + b and give z.\nAnswer: 4179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(275))**2*-1 + (sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275) + 0))**2)*2) - ((sqrt(275) + -1 + sqrt(275))*-4 + sqrt(275)*-1 + -4)).\nAnswer: -1650 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3446116*i**3 + 2793*i**2 - 8*i - 17?\nAnswer: -20676696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1960)\/12 + 0)\/(3\/(-477000)). Round g to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 6*y**2 + y + 8. Let r be j(-6). Let i = 0.439 - 0.019. Let d = i - -1.58. Is d bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23966*w**2 + 143034?\nAnswer: -47932*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9214684 * 3.\nAnswer: 27644052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9079.5 - -997285.\nAnswer: 1006364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267 - 1163 = -5*h. Suppose 2*y = -4*y + h. Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2526*u - 12694. Calculate n(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77.2 - 100. Let d = -22.80000099 - h. Round d to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.66 and -1.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -11. Let q = 264 - 260. Suppose -j + 5 = 4*r - 10, -3*r - 6 = -5*j. Solve j*d = p - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**2 + 3 - 1\/7*i**7 + 0*i + 2\/3*i**3 + 0*i**5 + 0*i**6 + 0*i**4. Find the third derivative of z(h) wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/4 - 1\/4. Let m = 12 + -6. Suppose -12 = -2*x + m*x. Which is the smallest value? (a) x (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 6 - (-22 - (8 - (10 + 5)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.6. Let i = -3 + 3.4. Which is the closest to 0.1? (a) w (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3157246\/105 + -30070. Calculate the common denominator of ((-42588)\/8424)\/((-10)\/6) and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*y - 330, -c = -5*y - 60 + 24. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szsz when four letters picked without replacement from {z: 4, s: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.1 - 3.6. Let a = 7.5000047 - y. Round a to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1334*u**3 - 3*u**2 + 4*u - 8. Let n(v) = -1. Let r(o) = f(o) - 5*n(o). Let y be r(3). Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12096 = -7*t + 43*t. Calculate the least common multiple of t and 120.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74293877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15754 + 15757. Solve 3*t = f - 7, f + 5 + a = -2*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jijj when four letters picked without replacement from ijjjii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Let a = -0.3 - -0.4. Let q = a + -0.2. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 7 - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1677 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from {d: 3, h: 5, c: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -3*a + 2*b, b = -5*a + 42. Suppose -3*x + a = -4. What is the remainder when (3\/3)\/((-1)\/(-15)) is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.653716m in micrometers?\nAnswer: 653716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 8. Let r = -10.2 + v. Let k = r - -2. What is the nearest to 0.1 in -3, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17556150386\/3270442779 - 3\/2514758. Let v = b - 6\/289. Let c = 12139\/1374 - 1\/687. Calculate the common denominator of c and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t**(-1\/13)*t)*t)**(-2\/67))**(-8\/5) assuming t is positive.\nAnswer: t**(432\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/36 - 4*y**3\/3 - 24*y**2 - 22*y + 1. Let w(x) = 0. What is x?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + u - 4. Let b be a(7). Is b at least 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 304, 427, 554, 685?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 - f - 88 + 374 - 123 in the form a*f + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n + 111 = 489 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017496848 to 5 decimal places.\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -53 (c) -4 (d) -1\/2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4304 is divided by 1071?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 - 3*w - 4. Let o be b(4). Suppose o*h + 117 = -3*h. Let d be (h\/(-2))\/(21\/28). What is the highest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(57\/228). Solve p + 3*a = -1, -a + u - 5 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = 0. Suppose 4*k + 0*k - 20 = t. Find the third derivative of 2*d**k - 2*d**2 + 6*d**2 - 3*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8428*y - 6574. Let q be n(43). Round q to the nearest 1000.\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/16)*m**(-10\/9))**(-25)\/((m\/((m**(-6\/7)*m)\/m))**(-24))**(-13\/7) assuming m is positive.\nAnswer: m**(-575489\/7056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5875*i**2 + 18*i + 20. Calculate u(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*j = l - 143*j - 1363, 3*l + 4*j - 4024 = 0. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14615 = -5*q + 6050. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54516)\/(-2065))\/(1\/5)*(10\/6 - 2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (5 + -3*sqrt(1216))*6*-2)**2 + -2)*-4.\nAnswer: -6317192 + 133632*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i = -4*y + 2917, 3*y - 2205 = -2*i. Let g = -323 + y. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w + 3. Let y(f) = f**2 - f + 1. Suppose 23*d - 36*d - 39 = 0. Calculate d*y(j) + r(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 12 - -4 - -8 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1039751 to the nearest ten thousand.\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.541 less than -0.084202?\nAnswer: -83.625202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2 + 19*a + 745 wrt a?\nAnswer: -12*a + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.131076799 rounded to 4 dps?\nAnswer: -4.1311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 2 = 0. Let p(h) = -2*h**3 - 6*h**3 + 1 - 3*h + 2*h**s + h**3. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/105 + 1337*w**6\/120 + 391*w**4\/12 + w**3\/2 + 2*w**2 + 111*w - 3. Find the second derivative of p(q) wrt q.\nAnswer: 24*q**2 + 8022*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -731667*u + 1850729 wrt u?\nAnswer: -731667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -q - 0*q, -2*l = -2*q + 14. Let m be 24*(-4)\/(-42) - q. Let v = -2 - -1.8. Put v, m, 1 in descending order.\nAnswer: 1, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**4*u**2 + 173*b*u**2 + 3*u**2 - 371*u wrt b?\nAnswer: 16*b**3*u**2 + 173*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -5, -21, -53, -107, -189?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071 + 2704. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t**2 + t - 56. Let i(w) = 13*w**2 - 2*w + 52. What is -2*i(r) - 3*v(r)?\nAnswer: 13*r**2 + r + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -38. What is the biggest value in q, 4, 0.8, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7853, -4643, -25463, -54601, -92051, -137807?\n\"Answer: u**3 - 4168*u**2 + u + 12019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -478*w - 1492. Calculate the remainder when u(-6) is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + 1)\/(-2) - 2*(-973)\/14 is divided by 102.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*j - 3*y, 0*y + 6 = 2*y. Let l(t) = t**3 - 2*t**2 + 14*t - 8. What is the hundreds digit of l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -32. Suppose -3*p - t + 11 = -3*t, -m*t = -2*p + 4. Solve 0 = -5*b + 5, -p*b - 1 = 3*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.2114?\nAnswer: -0.1057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 247*x**2 + 1207*x - 679. What is o(-242)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (132\/187)\/(1449\/(-2346))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j + 42*j - 1030. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**2. Suppose -244 = 11*m - 794. Let i(a) = 21*a + a**2 - m*a + 29*a. Calculate r(i(u)).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6490 = -9*n. Let s = n - -885. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -12*k - 20. Does 11 divide (-1 - (-68)\/k)*(-44)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a + 737. Give t(-69).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -537\/8. Which is the second smallest value? (a) 1\/3 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 3. Let u = -9.154 + 8.854. Let t(x) = 2*x + 21. Let m be t(-13). Which is the nearest to -2\/17? (a) u (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 1:24 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-23)*l**(-2\/11))\/(l\/(l\/(l*l**(-12))))**(1\/10) assuming l is positive.\nAnswer: l**(2741\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 115*x**2 - 4*x + 1. What is the remainder when f(-2) is divided by 98?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 49. Find the second derivative of -9*r - k + 3*r + 4*r + 32 + 2*r**4 + 2*r**5 wrt r.\nAnswer: 40*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 10*x - 32. Let h be n(-16). Suppose h = -k - 3*k. Let m = k - -47. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -595*w**5 + 11350*w**4 - 31200*w**3 + 31450*w**2 - 11725*w + 720 = 0 for w.\nAnswer: 9\/119, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-4)\/(-4))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 - 8 = 0. Suppose 4*o - 16 = 0, 4*o - 5*o = 3*r - 217. Suppose -r = -54*l + 37. Solve -l*z + 2 = j + 1, -a*j = -3*z - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least -9270\/373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*t**3 + 224941*f - 7*t**3 + 305*t wrt t?\nAnswer: -3*f*t**2 - 21*t**2 + 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*-3*2. Let f(c) = -c**2 - 6*c - 16. Let k be f(-4). Let w be y*(-2 - k\/6). Solve 0 = -3*z + 3, -4*o - o = w*z - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -410, 4, -76 in increasing order.\nAnswer: -410, -76, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-12) + -1 + (-2)\/6. Suppose f = -4*g + 4, 4*b - 5*g - 40 = 23. What is the remainder when 32 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - -0.2. Let i = -0.28 - 0.12. Let w = -0.07 - 3.93. Which is the third smallest value? (a) y (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-49))**3 assuming a is positive.\nAnswer: a**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.326, 1526, 2, -0.08?\nAnswer: 1526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65517753 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - v + 16*v**2 - 45 + 45 to y*v + z + t*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0484 + -0.0016. Which is the nearest to 2\/3? (a) q (b) 2 (c) -2\/15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i + 2*i + 3*i - 5 + 0 + i. Let r(b) = b + 1. Let q(l) = 12*l + 16. Let p(d) = q(d) - 10*r(d). What is 4*a(m) + 3*p(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 - (-6 - -20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 216 = 33*i - 11*i. Solve 4*p + 8 = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 6. Suppose 14 = -q*v - 7. Let d = v - -16. What is the greatest common factor of d and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 62*k**2 + 3*k + 2. Calculate t(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -1589*q**3\/3 - 2283*q**2\/2 + 449. What is the second derivative of j(x) wrt x?\nAnswer: -3178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db7 (base 14) to base 3.\nAnswer: 10201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5780015 plus 190.585?\nAnswer: 5780205.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 6, l: 2, s: 5, z: 5}. What is prob of sequence zo?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 131 - 138 = 391 + 332 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302148 by -252.\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-2)\/6). Let p be 13 + (3 - w)\/(-1). Solve 2*u = 2*x - p, 3*u - 3*x + 2*x = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -579234, -579230, -579224, -579216, -579206, -579194?\n\"Answer: x**2 + x - 579236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 + 288. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 13 = 0. Let l be 6\/(-9)*(-3)\/4*(-558)\/(-31). Solve -d = -4*n - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8509, -8574, -8689, -8860, -9093?\n\"Answer: -o**3 - 19*o**2 - o - 8488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*g + 44 = 0, 18 = 3*u - 0*u + 4*g. Let i be -1 + -3 + u - 1. Let m be (3 - i)\/((-2)\/6). Solve -3*f + 7 = -4*h, -3*f + m*f + 4*h + 25 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/(-140) + (-34)\/(-10). Solve x*d = -5*b - 0*d + 37, 4 = 4*b - 4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let y(a) = 2440*a. Give y(h(q)).\nAnswer: -2440*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 8. Calculate the remainder when 20\/(-1)*(-3)\/4 is divided by n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.351 and 0.1.\nAnswer: 0.1351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34307956.1 rounded to the nearest 100000?\nAnswer: -34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 1. Let c(p) = 3*p. Let f(x) = 2*x. Let h(k) = -3*c(k) + 5*f(k). Suppose -4*n + 6 = -s + 2*s, 0 = 4*n - 2*s - 12. Determine n*h(t) + u(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 - -336. Suppose 11*w + b = 1153. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a*f**3*o**3 - 59*a*f**3*o**2 - 2*a*f*o**2 + a + f**3*o**3 wrt o.\nAnswer: 30*a*f**3 + 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-8) + 3)*(-36)\/(-10). Suppose 104 = v*l - l. Solve -3*j = l + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 70170600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*i**2*z + 7*i**2 + i*z - i + 11245*z wrt i.\nAnswer: 270*i*z + 14*i + z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from jdjsjsdsjjjj.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9626.228 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1087308327001\/600 - 1812181053. Let h = i - -4065\/8. Let q = h - -1\/25. Which is the smallest value? (a) -5 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let m(q) = -189*q - 603. Let p(t) = c(t) + m(t). Find the first derivative of p(u) wrt u.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8772700 and 186850.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 1. Let v(q) be the third derivative of q**3 + 0 + 0*q - 14*q**2 + 5\/6*q**4. Let n(t) = 3*a(t) - v(t). Let f(i) = -i**2. Determine n(f(k)).\nAnswer: 26*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2207145 and -9.\nAnswer: -19864305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1188)*-2 - sqrt(1188))*-5)\/(sqrt(21)\/(sqrt(28) + sqrt(112))))**2.\nAnswer: 3207600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.4642553 to 1 decimal place.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0 - 1\/6*a**4 - 4*a**2 + 2\/3*a**3 + 0*a + 1\/60*a**5. Solve x(b) = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - 8\/(-12). Let i = 1 + a. Suppose 0 = g - 6, 2*q + 25*g - 26*g = 0. Solve -z = -q*z - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*o - 222*o - 120 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4956 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 902 = -15*c - 52*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 586 (c) 2\/5 (d) -788\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 32740804.\nAnswer: -3\/16370402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 28*w - 5*w - 24*w.\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 527, 1169, 2067?\nAnswer: 3221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14196157.65999885 + -14196200.66. Let u = 43 + v. What is u rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -373, -371, -367, -361, -353?\n\"Answer: g**2 - g - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100048768?\nAnswer: 2, 781631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*w + 11, -h - 2*w = 2. What is the second derivative of -8*t - t**2 + 2*t**5 - 16*t + t**h wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1144580*w**2 - 3556431?\nAnswer: -2289160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452805 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472 + 477. Let h(p) = -267*p - 167. Let w(v) = 268*v + 167. Let i(t) = l*w(t) + 4*h(t). Differentiate i(k) wrt k.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -0.4, -2.\nAnswer: -4, -2, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1886, -2004, -2124, -2246, -2370?\n\"Answer: -b**2 - 115*b - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:39 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/88 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3\/1652.\nAnswer: -3, -1, 3\/1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8030 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-488)\/20)\/((-8)\/40) and 4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 + 7*r + 3. What is the units digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1293*c**2 - 991*c wrt c.\nAnswer: -2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - -3. Suppose 0 = 5*c - 0*c - h. Let l(d) = 2*d - 15. What is the lowest common multiple of l(c) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 - 105*d**2 + 35*d + 150.\nAnswer: 5*(d - 10)*(d + 1)*(2*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 27*h**3 + 27*h**3 + 8 - 18.\nAnswer: 54*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 divided by 1?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asz when three letters picked without replacement from zttsaz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066352 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 73 = -65. Sort 5, n, -27 in decreasing order.\nAnswer: 5, n, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*q + 39 = 0, -3*y - 2*q + 19 = -16. Suppose 2*s = -8*l + y*l - 44, -2*l + 96 = -2*s. Is l less than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -2*n, 3*b - 1 = 5*n - 10. What is the highest common divisor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 - 333 = -7*v + 4*v + 281 - 895, 0 = -3*q - 5*v + 113 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18 - 2*w - 18. Let n(v) be the first derivative of -1 + 0*v - 10\/3*v**3 + 0*v**2. Give n(z(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {j: 5, w: 1, x: 3, d: 8, i: 2}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4 - 4. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110833192*w**3*z - 9*w**2 + 9257970*z wrt w?\nAnswer: 664999152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*x, 0*x + x = -5*i + 2*i - 8 - 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 60. Suppose 0 = 3*r - l, z - 5*r + 2 = -3*r. Suppose -z*t = -17*t + 33. Solve -25 = -t*j + 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968067 by -5.\nAnswer: 968067\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 6*i - i + 120 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**2 - 1. Suppose -21 - 4 = 5*v. Let t(j) = 6*j - 5. Let a(o) = -5*o + 4. Let n(i) = v*a(i) - 4*t(i). Calculate x(n(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 - -305. Suppose 3 = 2*x - b. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 36. Determine f(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 - 1357*a + 85. Give t(-97).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + n + 4, 0*x + n = 3*x - 4. Suppose 21*l + 9*l - 2310 = x. What is the least common multiple of l and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 4, o: 8, j: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -347 + 363. Solve 0*c - c + i = 5*t, -t = -3*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -172, -161, -126, -55, 64, 243, 494?\n\"Answer: 2*v**3 - 3*v - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1*(-2)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 7. What is the closest to 0.1 in -1\/7, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - f = 15, 763 = 5*u - 2*f + 775 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-15))**(-13\/2)\/(o**(-2\/7)*o**(-6\/7)*o)**19 assuming o is positive.\nAnswer: o**(-1327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -2329.\nAnswer: -2329, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*q**2 - q - 65 - 65 + 130 + 2*q.\nAnswer: 787*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u**3 - 242*u + 242*u - 3 + 3 - u**3 + (0*u**2 + 2*u**2 - 4*u**2)*(-2*u - 2 + 2) + 0*u**3 + 3*u**3 - 5*u**3)*(-14*u**2 + 4*u**2 + 2*u**2).\nAnswer: -168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - 2*d)*(-3*d + 4*d - 4*d) + 12 + d**2 - 8 - 12.\nAnswer: 10*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h + 6. Suppose -p = 2*p - 9. Suppose -p*g + h*g + 3*v + 104 = 0, -257 = -3*g - 2*v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10436 = 18*y - 22*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 31 + 8 - 2.\nAnswer: 8*g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 7:20 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 2525*x + 2520.\nAnswer: 5*(x - 504)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -2\/3, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9020\nAnswer: 1\/2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/60*b**5 + 7\/24*b**4 + 0 - 7\/6*b**3 - 3*b**2 + 0*b. Calculate the remainder when t(-9) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 6*m + 14 - 46, 0 = -c + m. Solve 8\/7*t**2 + 20\/7*t**5 + 0 - 14*t**c + 24\/7*t - 134\/7*t**3 = 0.\nAnswer: -1, -1\/2, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:07 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235587874 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: Expand (4 + 0 - 5)*(2 - 1 - 2)*(-6*z + 5*z - 66*z**2 - 19*z**2).\nAnswer: -85*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2))\/(n**2\/n)*(n**(-2\/3))**15*(n**1)**(-28)\/((n**(-1\/4)*n)\/n)**16 assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000316307 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -861153.284 and 2.\nAnswer: -861151.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272043 - 2*b - 4*b + 214*b**2 + 272043 to r*b + a + p*b**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5887424515 + -5887424463.00000074. Let m = -52.11 - -0.11. Let i = q + m. Round i to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-9))\/((-28)\/(-462)*-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 8) + 2 - (5 + (-30 - 15))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/117 and -11\/15.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 - 5*l + 9. Let c(z) = -14*z**2 + 7*z - 14. Let v(y) = 8*b(y) + 5*c(y). List the prime factors of v(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 185. Let z = y - -246. Let r be -6*160*z\/(-12). What is r rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6, i: 3, h: 1, x: 8}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/6*(1 - 0). Suppose -x*t - 12 = 0, 2*t - 9 = 2*v + 7*t. Solve -2\/7 + 2\/7*d + 2\/7*d**5 - 2\/7*d**4 - 4\/7*d**v + 4\/7*d**2 = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-five halves of a microsecond?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12176759 to the nearest integer?\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1290\/(-24) + -5)*(-1428)\/1785.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 226 + -1 + 4. Calculate the highest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 97 + (-5 - (7 + 2)) + -9.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2010272*u**4 + 19*u**2 + 12305.\nAnswer: -48246528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1468*m. Let y(h) = 32*h**2. Calculate y(j(c)).\nAnswer: 68960768*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/34 bigger than 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235331731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 1 - l**2 + 4*l**2)*((0*l - 2*l + 3*l)*(l - 1 + 1) - 2*l**2 + 0*l**2 + 4*l**2 - 2 - 5 - 4*l**2 + 8 + 23*l**2 + 69*l**2 - 14*l**2).\nAnswer: 231*l**4 + 80*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - u - 7 - 1, 3*r + u - 17 = 0. Suppose -4*l + 2*h = -3*h - 13, -4*l - r*h = -3. Suppose l*t = 7*t - 5. Let j(m) = 3*m**2 + 1. Give j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -5*h - 5*c - 0*c, 5*h = -4*c - 450. Let u be ((-28)\/35)\/(4\/h). Let g(r) = 2*r + 2. Let o be g(2). What is the greatest common divisor of u and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 2*a. What is r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16006682*q**5 + 1893485*q**2 + q wrt q?\nAnswer: -960400920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32701\/7266 + -2\/3633. Let r(a) be the first derivative of t*a**2 - 3\/8*a**4 + 0*a - 1\/2*a**3 - 10. Factor r(z).\nAnswer: -3*z*(z - 2)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + s**2 + (1 + 0 + 1)*(-s**2 + 0*s**2 - s**2) - 584*s + 584*s - 51*s**2 in the form t + a*s + v*s**2 and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 5, 0.02, -3\/4 in decreasing order.\nAnswer: 5, 0.02, -3\/4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5956 - -5960. What is the closest to 3 in -34, 5, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-91))\/((-10)\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-26))**(-27) assuming w is positive.\nAnswer: w**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/373 or 1?\nAnswer: -12\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:09 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/120 - z**5\/12 + z**4\/12 - z**3 + 7*z**2. Let v be f(4). Is -14 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22894, -22818, -22738, -22654, -22566, -22474, -22378?\n\"Answer: 2*h**2 + 70*h - 22966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 297 + -273. Calculate the lowest common multiple of 44 and r.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499600 is divided by 1801?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548782014 by -8314879.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 50020*p - 950377. Determine o(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**2 + 15*f + 98. Let m(u) = -250*u**2 - 540*u - 3535. Let s(t) = 6*m(t) + 215*n(t). Let s(d) = 0. What is d?\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 10*w**3 + w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -10181?\nAnswer: -8\/10181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 5*f**2 - 2*f**2 + (479 - 479 - 49*f**2)*(-4 + 2 + 1).\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, s: 5, y: 2}. Give prob of sequence sssy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 89 - 224 = 0. Suppose -k = 2*d - z, -2*d + 5*k - 55 = -7*d. Suppose 2*r + 4*s = -s + 8, 3*s = 0. Solve -4*i + d = -0*i, -4*n - r*i - 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 2*x**2 - 5*x - 3*x**2)*(-607 - 48*x**3 + 607).\nAnswer: 48*x**5 + 432*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0*m**2 - m**2)*(m + 5*m - 3*m)*((-3 + 1 + 3)*(-m + 22*m - 39*m) + (2*m + m + 0*m)*(3 - 16 + 1)).\nAnswer: -324*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 + 17*q**3 - 53*q**3 + 41*q**2 + 35*q**3 - 3*q to the form i + j*q**2 + s*q**3 + z*q + t*q**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327 divided by 5.\nAnswer: 327\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93, 317, 667, 1143?\n\"Answer: 63*p**2 + 35*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-28) + (-13)\/(-7). Suppose -b - x*b + 306 = 0. Let t = b + -69. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from fdddnfnfnfdd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1511731 + -874630. Let p = 327101 - x. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 175, -10, 0.6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7 and (114\/(-95))\/(904\/(-2530)) + -3.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -77 (b) -3\/10 (c) -0.4 (d) 1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 27*o - 18. Let l be v(7). Suppose -55 + l = f. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 3*b + b)*(1 - 1 + 2) - 5*b - b + 4*b - 2*b + 5 + b - 2)*(-2*b**3 - 1 + 1).\nAnswer: -14*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.102443 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 - 7) - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*l - 62 = -0*l, -5*i + 120 = 3*l. Suppose -4*p - 2*m = m + i, 4*m + 15 = -p. Let u = 0 - 4. Sort u, 1, p in increasing order.\nAnswer: u, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {k: 5, t: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 5 - 2*y)*(-8*y**2 + 2*y**2 + 0*y**2).\nAnswer: 12*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/(-180) + (-5605)\/(-50445)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -89, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 - 3*w. Let h be p(-2). Suppose s + 2*s = h. Solve -s*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -1. Let o = -3 - 0. Let d = o + h. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184072 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*d**4 + 34*d**4 - 283*d**4)*(-2*d + 0*d - 9*d).\nAnswer: 4587*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2948)\/88 + 33 + 4585\/2 + 0 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, -0.1, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360 - 106 + 44)*(-2*w + 2*w + 2*w + 2).\nAnswer: 596*w + 596","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1200322 + 140041?\nAnswer: -1010231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-2\/49)*q)))\/q)\/q**(2\/25) assuming q is positive.\nAnswer: q**(-148\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/6*(-27)\/(-42)*-4. Suppose -4*c = -4*h, c - 3*c = -k*h + 3. Solve 2 - c = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 2. Let o be x(-2). Let r(f) = 4 - o*f + 0 - 7 + f**2. Calculate r(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 11*a - 6. What is the remainder when 27 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1520 - 1519. Calculate the greatest common factor of w and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 18*k + 242. Sort k, 2\/7, -0.3 in ascending order.\nAnswer: -0.3, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -12474247791?\nAnswer: -12474247789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -4 - 76 - 3) + (467 - 452) + -4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**2*r**4 - 262654*n**2 - 3815*n*r**4 wrt r?\nAnswer: -8*n**2*r**3 - 15260*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(0 + 1\/1). Suppose -21 = -5*d + 2*b, a*b - 2*b = 3*d - 19. What is the highest common divisor of 40 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/169 or -8\/3?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 1)\/((-1)\/((-5259)\/9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:53 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807 = 273*u + 3364 + 743 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*i - 153*i + 78*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlmlsomllmlllpslp. Give prob of sequence ljpp.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -22*c + 211. Let u(f) = 12*f - 105. Let w(t) = 3*l(t) + 5*u(t). What are the prime factors of w(-30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a hour in seconds?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 and -53\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v + 37. Let p be n(-5). What is the derivative of -32 - 86*c**2 + 220*c**2 - 104*c**p wrt c?\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 2 b when four letters picked without replacement from {w: 1, i: 1, b: 2, f: 2, y: 2, e: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*h - 747 = -765, -2*h + 5*h = 2*v + 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.23, 2\/19?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 y when four letters picked without replacement from {r: 2, k: 1, b: 1, z: 8, y: 8}.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 900.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Let t = 86 + -79. Suppose 2*v + 30 = -3*l + t*l, -5*l = -v - 30. What are the prime factors of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 79 = -38. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4\/12 + 338*a**3\/3 - 57122*a**2 + 38614472*a\/3 - 3629. Let w(i) = 0. What is i?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33709043, -67418084, -101127125, -134836166, -168545207?\nAnswer: -202254248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)\/(d*d\/(d*d**(-1)))*(d*d*d**(1\/6)\/d)\/d**(-2\/27))\/((d\/(d**(1\/3)\/d*d))\/(d*d**9)*d\/(d*d**(1\/3))*d\/(d\/d**(-2))) assuming d is positive.\nAnswer: d**(157\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8136 and 324.\nAnswer: 73224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5955 (b) -63 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202845687?\nAnswer: 7, 4211, 74731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -16100193.58?\nAnswer: 16100194.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.191, 32, 1\/3, -5\/4?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3719 < -3718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 21*u + 5. Let w be s(6). Suppose 857 = 20*l - w. Is l less than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/6 + 6\/(-9). Suppose 2*d - f*d = -25. Suppose 3*t - d*m - 74 + 29 = 0, m - 75 = -5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, -3, -2, -0.129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 59*t + 61. Let i be j(60). Calculate the greatest common divisor of 271 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3) + -3)*(-126)\/(-56)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + 3*u. Let t(c) = u - 139*c + 71*c + 69*c. Let w(y) = -y**2 + 6 - 3*y**2 + 5*y**2 + 6*y. Give 6*t(v) - w(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 11*i - 9. Let o(f) = -2*f**2 + 23*f - 17. Let l(m) = -2*o(m) + 5*w(m). Let s(v) = -v**3 - 22*v**2 + 3*v + 74. Let t be s(-22). What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 5*f**5 + 4*f - 4*f**5 + (-f**4 - 2*f**4 + 2*f**4)*(-f + 4*f - 5*f) - 3*f**5 + f**5 + f**5.\nAnswer: 2*f**5 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 8\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpvdvdvddvvkpp. What is prob of picking 1 p and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - -2 - (40 - 41).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 - -280. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72 and -120996.\nAnswer: -120924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 18703 - 10017 = 0. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505359 by -41.\nAnswer: -505359\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q - 0. Suppose 3*i - 19 = 5*g, q*g + 23 = -i - 3*i. Let c(n) = -n**2 - 3*n + 1. Determine c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d - 6 = 0. Let n = -117 + 114. Which is the smallest value? (a) d (b) -5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2210485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 46*f - 100.\nAnswer: 2*(f - 2)*(f + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*w + 23 = 2*w, -3*w - 7 = -u. Let a = -13 + u. Suppose 4*o - 2*o - 4 = a. Solve 6 = 3*f - o*d, 2*f - 5 + 1 = 5*d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -21614, 0.7, -2\/7 in descending order.\nAnswer: 0.7, -2\/7, -7, -21614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17261037 from 628566.5.\nAnswer: 17889603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u + 1. Let k(q) = 775*q - 8. Give -6*f(v) - k(v).\nAnswer: -679*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 609401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28253*i + 1104 = 28277*i for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28295)\/90)\/((-2)\/4) - 2\/(-9). Calculate the highest common divisor of 1739 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 4*v**3 - v**3)*(4*v - 4 - 4*v - 2*v) + 64*v - 64*v + 4*v**4 + 3*v**3.\nAnswer: 18*v**4 + 31*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r**3 - 5*r**3 + 4*r**3)*(-2*r + 3*r - 4*r) - 2 + r**4 + 2 + (0*r + 0*r + 2*r**3)*(-3 + 3 - r) as l*r**3 + j*r + v*r**2 + g + z*r**4 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1046, 1048, 1060, 1088, 1138, 1216?\n\"Answer: k**3 - k**2 - 2*k + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21853329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2515 (b) -39\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/12)\/((-2)\/(-20751)) + -2. Suppose 4*o + q = 3*v, 3*v - 2938 - 3977 = -4*o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*s - 307*s = -4*a + 170, 5 = -s - 5*a for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38298096 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49814204233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 - -4)) + 2 + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 209676428477.\nAnswer: -209676428476.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3*-2*6\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let i be (-1539)\/(-90) + (-3)\/5. Let l = i + -17. Which is the closest to -0.2? (a) l (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 363.4 and 4.\nAnswer: 1453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 28196200*j + 99378211805000.\nAnswer: 2*(j + 7049050)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by -191\nAnswer: -81\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-612*b**4 + 748*b**4 - 417*b**4)*((-5 + 3 + 1)*(-1 + 1 + b) - 5*b + 8*b + 11*b).\nAnswer: -3653*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose -3*y = o - 35, x*y + 3*o = 12 + 27. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (6\/(-12)*6 - 2). Solve -8*v = -3*b - 5*v + 24, 0 = -x*b - 3*v + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -10, -23 in ascending order.\nAnswer: -23, -10, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 4, b: 1}. Give prob of sequence rtb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {p: 2, o: 1, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:30 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.1357766 minutes?\nAnswer: 0.00078873375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose 0 = -s - y - q*y + 45096, y = -3*s + 135343. Suppose 5*w = 20, -5*w - 2245096 = 4*c - s. Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.94 + 66.88. Which is the closest to -0.4? (a) z (b) -2\/11 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/4)\/((-2)\/(-4)). Calculate the highest common factor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 526 in -1, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2694*z**2 - 462 + 239 + 221)*(-3 - 3 + 4)*(-4 + 1 + 2) as o*z + j*z**2 + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -512794*z**4 + 515227*z wrt z?\nAnswer: -6153528*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 24. Let q = -11 + h. Which is the smallest value? (a) -0.3 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 + 40 = -22*s - 127 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 10*z**2 + 9*z + 12. Calculate c(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4156, -35327, -119924, -284659, -556244?\nAnswer: -961391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 338*t**2 + 7458*t - 15672. Calculate l(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3792.93 + -3777. Let i = -0.3 - -16.3. Let u = f - i. What is u rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 25. Let d = -27 - h. Suppose 641 = d*r - 375. Is 32 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-3)\/(-3*2). Let x = a - -6. Suppose -x*n + m = -12, 4*m - 3 = 9. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 - 4*c - 3. Let o(i) = i. Let w(q) = -5*q**2 - 3. Let d(v) = -3*o(v) + w(v). What is -4*d(j) + 3*p(j)?\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -2.3. Let d = -9 - -8.2. Let n = x - d. What is the second smallest value in n, 1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3 + 2 + 6 - 13 + 1. Let c(f) = -f + 9. Give c(a) + t(a).\nAnswer: -a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223119806 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 1, c: 2, x: 1, b: 1}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 11*w**5\/20 + 3*w**4\/4 + w**3\/2 + 5*w**2\/2 - 4768*w. Let z(q) = -6*q**3 - 5*q**2 - 2*q - 3. Determine 4*t(i) + 7*z(i).\nAnswer: 2*i**3 + i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67534632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/50)\/(6\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o**3 + 7858*o**2 - 1727385*o + 5298300 = 0. Calculate o.\nAnswer: 28\/9, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7569 is divided by 7539.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 10*z**2 + 4*z + 14. Suppose 0 = 9*d + 1 + 62. What are the prime factors of o(d)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*k**2 - 150*k**2 - 165*k**2 - 27*k**3.\nAnswer: -27*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4542 + -2502. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2983*a - 2*v - 18 = 2985*a, 6 = -4*a + 2*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1699\/6 + -284. Let y be 16\/24*(-42)\/4. What is the common denominator of n and (y\/5)\/(16\/56)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 12*d + 1. Let y be m(-5). Is (-5 - -2)\/(3\/y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 7706, 2, 4, -1, -21 in descending order.\nAnswer: 7706, 17, 4, 2, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4291 (b) -0.1 (c) -5 (d) 3\/5 (e) 2 (f) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41*7.\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/3*1\/6*12. Let c(x) = -8*x**2 + 4*x + 7. Let w(g) = 7*g**2 - 3*g - 6. Determine q*w(z) - 5*c(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 9\/14.\nAnswer: -0.5, 0.2, 9\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(10\/5). Solve a = -m - 2*h + 4, 7*m + 4 = 4*m + 2*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -0. Suppose -15 = -10*d + 5*d. Suppose 4*w = x + d + 12, 0 = -3*x + w - 12. Sort x, a, 2 in ascending order.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) - 4\/22. Suppose 0 = v - 4 - 6. Suppose -5*a + v*a - 10 = w. Solve 4 = -a*u + 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1786571679542 and 3.8.\nAnswer: -1786571679538.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -661017.391 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.58750644 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874275 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 26 + 28)*(0 - 2*j + 0)*(6 - 6 + j)*(-j - 2*j + j).\nAnswer: 156*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 35*a + 0 + 30*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 791357127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251 + 261. Let i be 0 + 1 + 25 + -1. Calculate the greatest common divisor of g and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052317 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 - 68*x**2 - 27*x - 792. Calculate a(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 1994.\nAnswer: -28\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s - 28. Suppose -4*y + s = -4*w, -2*w = y + w + 13. Suppose 0 = -y*f + 4 + 78. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 831*i**4\/2 - 16611*i**3\/2 - 100731*i**2\/2 - 84189*i\/2 - 450 = 0.\nAnswer: -4, -1, -3\/277, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4433*a = -4428*a + 4*p - 4, 4*a - 20 = p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 178872.\nAnswer: -5\/178872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -7. Suppose -3*f - 5*z = -9, 0*z - 4*z + 12 = 0. Which is the second biggest value? (a) i (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i. Let h = 0.01 - -6.99. Let j = h - 11. Which is the biggest value? (a) -0.3 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -150*u - 73 wrt u?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(1 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -237786b - -7a?\nAnswer: -23777b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 21. Let k(y) = 56*y. Let c(i) = -52*i. Let w(g) = -6*c(g) - 5*k(g). Calculate w(a(q)).\nAnswer: -64*q**2 - 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 250159 = 97*d - 193745. What is the greatest common factor of 512 and d?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-154 + 10 - 3)*(-2*s + 2 - 2) + (2*s + 0*s - s)*(3 - 5 + 0) as v + t*s and give t.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -145. Suppose c = -3*t, -3*u = -3*t - 0*t - 18. Suppose -5*j = 2*w - 1523, -4*w + 0*j + u*j = -2981. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0.3 (c) -0.2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 - 6*q + 10. Let u be x(7). Let m = 18 - u. Solve -5*a = -i + 15, -m = 2*a - 3*a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-1)\/(-2)*20. Let x = 39 + w. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(272))**2 + 3*(sqrt(272) + -1)**2.\nAnswer: -24*sqrt(17) + 15507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 466659.2709 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.3, -5, -6, 5\/2, 4, 4792, 0.5?\nAnswer: 4792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 - 912 = -10*p. Suppose 2*r = -5*h + 922 - 8, h + 5*r = p. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.06+15075\nAnswer: 15076.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -4*s - 215. Let v = s - -85. Solve 10 = n - 2*w, -5*n + 2 = w - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/7 and 50\/2541?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372 and 318432?\nAnswer: 318432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*o**3 - 1331*o**2 + 2*o*z + o - 7792*z - 3 wrt o.\nAnswer: -18*o**2 - 2662*o + 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5117142 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 17959020?\nAnswer: 17959020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 186462188 and 2.\nAnswer: 372924376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120122110 (base 3) to base 13.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 4*m - 5. Suppose -11 = -3*k + 10. Is b(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 4 = -0*a - 97. Let b(d) = -19*d + 63. Calculate b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (sqrt(1700)*-1 + sqrt(1700) - sqrt(1700)) + 4)**2 - (((2*sqrt(1700) + sqrt(1700))**2*-4 - sqrt(1700)) + (sqrt(1700) - (1*sqrt(1700) + 4)**2))).\nAnswer: -400*sqrt(17) + 323400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.33 + 1.03. Let i = v + 7. Let l = 0.05 + 0.25. What is the closest to 2\/5 in l, 3\/8, i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596918147 to the power of 1\/3, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (-6 + 2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1689\/7 + 4 - -1. Let t = b - 19356\/77. Find the common denominator of t and 804\/60 - 2\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -329700 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 0)*(-2 - -15). Let q = g + 32. Let i(d) = 14*d. Does 12 divide i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7707*s - 7707*s + 122*s**3.\nAnswer: 122*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -1355?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -13\/4 in descending order.\nAnswer: 0, -13\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:29 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:33 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*k - 21, -2*g - k = g - 21. Suppose -5*o - 2 = -g. Is o >= -10\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + 3*d)*((-1 + 0 + 0)*(-1 - d**3 + 1) - 7*d**3 + 2*d**3 + d**3 + 1 - 2*d**3 - 1).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 54 = -5*j. Let l be (-3)\/(2*(-2)\/12). Let x(c) = -5*c + 7*c - l - 5*c. Give x(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 17. Let r(z) = z**3 + 6*z**2 - 7*z - 1. Let n be r(m). Is 1\/11 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b + 898. Let m(i) = 20*i - 901. What is -6*h(j) - 5*m(j)?\nAnswer: 2*j - 883","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-500)\/(-30) - 4 - 11. Factor -40\/3*w + 80\/3 + p*w**2.\nAnswer: 5*(w - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*q - 272*q - 91*q)*(3 - 11 - 28).\nAnswer: 16776*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/(sqrt(968) - sqrt(968)*5) + -2 + 2*sqrt(2) + (sqrt(72) - (1 + sqrt(72))))*-2*-6)**2.\nAnswer: -18792*sqrt(2)\/11 + 293058\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/((-2)\/6). What is the units digit of (26\/a)\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29160600 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701996 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005295711 rounded to seven decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54484 and 600352?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (0 - 3) + 0. Let s = 0 + 0.1. What is the second biggest value in l, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, 1485 in decreasing order.\nAnswer: 1485, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-63)\/168 + 3177\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342798519?\nAnswer: 3, 7, 16323739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 194966541 and 194966539 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 281959, 281962, 281963, 281962, 281959, 281954, 281947?\n\"Answer: -k**2 + 6*k + 281954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664252753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1207, -1196, -1171, -1126, -1055?\n\"Answer: c**3 + c**2 + c - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a factor of 1261666284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 4, e: 2, a: 2, j: 1}. What is prob of sequence ae?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 2 (c) 2\/165 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/278 and 83\/834?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(5\/4). Let t = -186.7 - -187. What is the closest to 0.3 in t, -2\/11, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 17 + 26\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 + 862*t + 2. Let y(n) = -n. Determine x(y(s)).\nAnswer: -4*s**2 - 862*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13cab8c (base 15) to base 4\nAnswer: 312212102133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 9*n - 15. Let d(s) = -4*s**2 - 4*s + 8. Determine -7*d(r) - 3*h(r).\nAnswer: 7*r**2 + r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-166)\/(-415) - 8*(-6)\/5. Solve -9*i = k + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 1224*o - 237*o.\nAnswer: -1422*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:18 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*d = 127*d + z + 8, -z + 12 = d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/44 + (-64)\/(-11). Suppose 6*n = 2*n + 192. Calculate the greatest common divisor of n and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5900 + 3084 = 11*h - 432. Calculate the smallest common multiple of 40 and h.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46753*i**3 + 250*i**2 + 271*i**2 + 168125*i**3 - 521*i**2.\nAnswer: 121372*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 444. Let h = -105 - k. Let o be (2 - 7)*1\/((-1)\/h). What is the highest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-4)*b\/(b\/(b*(b**(-4)\/b)\/b))*b*b*b**(4\/3)*(b\/b**(-6))\/b*(b**(-1)*b)**(17\/3)\/(b\/((b*b**3)\/b)*((b\/(b*b\/(b**3\/b)*b))\/b*b)\/b) assuming b is positive.\nAnswer: b**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 2*s + s)*(-12*s**2 + 24*s**2 + 4*s**2 + (2 - 2 + s)*(-s + 0*s + 0*s)) to the form v + i*s**3 + l*s**2 + k*s and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 + 2*z + 3. Let v be r(-2). Suppose 3*m + 2*m + 100 = 0. Let q be m\/(-15)*(-6)\/(-4). Solve -q*t = t - v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 + -261. Suppose 3*n + 4*i - u = 0, i - 23 = -3*n + 1. Solve n = m + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*a**3*d**2 - 22*a**3*d*o + 4*a**2*d**2*o wrt o?\nAnswer: -22*a**3*d + 4*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 - 246*f**2 + 36*f**2 as g*f + s + b*f**2 and give b.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -934, -3777, -8536, -15223, -23850?\nAnswer: -34429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 22*r + 86. Let s be a(5). Sort -7, s, 4, -4.\nAnswer: -7, -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -742 + 746. What is the least common multiple of n and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/11, -0.02, -4, 0, -3\/5, 1143\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -938872*q - 7238. Let f(p) = -519*p - 4. Determine 2*d(g) - 3619*f(g).\nAnswer: 517*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9920*t**3 + 4560*t**3 + 5364*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:34 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -49 - (-63 + 42 + 46).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3070 - 3?\nAnswer: -3073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbwzkzw. Give prob of sequence bw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1124 + 569. Suppose -1704*b = -o*b - 198. Let r = 92 - 47. What is the highest common divisor of b and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 5*d - 11, -16 = -2*d + 2*m. List the prime factors of (3 + (-309)\/9)\/(d\/(-6)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -0.3 (c) 0.3 (d) -4 (e) 1\/2276 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + (-58)\/(-7). Suppose 0 = -4*j + v - 0. Let g be 11\/j + 9\/6. Solve 5*y + 2 = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (85\/(-2))\/5*-2. Suppose p - 237 = -5*o. Let s be (o\/(-3))\/((-6)\/63). Round s to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yzyzzy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 123\/(-21) + (43 - 44)*(-2 - 4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (-32 - -25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 + -4 + 13 + 4\/1. Solve -4 = y*u - 2*x, 3*u - 6*u = 5*x + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -871 - -876. Which is the closest to -1\/11? (a) 0 (b) -38 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.165141 <= -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055042 (base 6) in base 3?\nAnswer: 100212101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1024)\/(-128) - -1 - ((-1)\/(-2) - 268\/(-8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/805324 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 187*f**4\/2 + 2*f**3\/3 + 89*f**2\/2 + 71. What is the third derivative of m(b) wrt b?\nAnswer: 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + 0 + -3 + 11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 g, and 1 y when three letters picked without replacement from wtytwcgsgccgw?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232296*v**2 - 67*v**6 + 114929*v**2 - 18*v**5 + 114943*v**2 wrt v?\nAnswer: -8040*v**3 - 1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-66))\/(24\/16)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) -1\/11 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**2\/2 + 9*a + 3. Let x be t(7). Suppose x*d - 10 = 22. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(627\/(-190))*(-27)\/(-15))\/75?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(384) - (1*sqrt(192))\/sqrt(8)))\/(3*1*sqrt(588) + (sqrt(588)*2 - sqrt(588))*2).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-114)\/(-48)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9546*c - 9545*c = 11 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -14122?\nAnswer: 14034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 10*h**2 + 5*h + 2. Suppose -2*z = -6*z + 8. Let m = 3 + z. Let n(x) = -x**3 - 9*x**2 + 4*x + 2. Let q(l) = m*n(l) - 4*j(l). Determine q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + 2*g - 2. Suppose -2*x - 11 = 3*t, 0*t = -3*x + 2*t + 16. Let u be c(x). Suppose i + u = 2*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6942445, -13884922, -20827473, -27770134, -34712941, -41655930, -48599137, -55542598?\nAnswer: -62486349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**2 + 52020*c + 885785 = 0.\nAnswer: -17, 10421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9*j - 4 = c - 5*j, 4*c + 2*j + 34 = -j for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11546949?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/8, -38780, 0.3, -2, -0.5 in decreasing order.\nAnswer: 4, 0.3, -3\/8, -0.5, -2, -38780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.9069 rounded to one decimal place?\nAnswer: 42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 29.5247.\nAnswer: -25.5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(720\/(-54)))\/(-1*3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 13271 and 2601313.\nAnswer: 2614584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.81 + 28730988.\nAnswer: 28730985.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4bb + -135?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -46. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13059 - -13102. Sort -0.27, -3\/2, 5, g, -0.2.\nAnswer: -3\/2, -0.27, -0.2, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -469. Let u = 77 - -597. Let i = u - k. List the prime factors of i.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3243 - 9730\/3. Suppose 3 = 20*a - 17*a. Put a, k, -18, -0.5 in increasing order.\nAnswer: -18, -0.5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 35 = 5*p, 1215*w + 47 = -5*p + 1214*w for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100100 - -1000111001001101?\nAnswer: 1001010100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 9)*(-888)\/(-24). Is -334 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 23*p + 505 - 196 - 305 in the form h + y*p**2 + b*p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 646580 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 37. Let c be (1 - 1)\/(0 + -2). Let a be y(c). Let b = a - -52. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(4 + (1 - (1 - -3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -20*q - 38. Let a = -85 - -88. Let b(n) = -7*n - 13. Let t(j) = a*d(j) - 8*b(j). Let p be t(-10). Calculate the highest common divisor of 270 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**7\/560 + 11*p**6\/240 - 3*p**5\/20 - 65*p**3\/6 - 42*p**2 + 2. Let v(r) be the first derivative of x(r). Factor v(w).\nAnswer: 3*w*(w - 1)*(w + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/5 - 444\/(-185)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-4 - (-2 + -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131131120442 + 1?\nAnswer: -131131120441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -215*y - 3057. Let t be l(13). Is t less than -5850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230700 and 1538?\nAnswer: 230700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134429145835 + c**2 - 134429145835.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 4*q + 12*q)*(3 - 4*q - 3)*(-3 - 3 + 4)*((6 - 2 - 3)*(-1 - 1 + 3) + 3 - 11 + 0).\nAnswer: -336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/20 - f**4\/12 + f**3\/2 + f**2\/2 - 954*f. What is v(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -1, 8, 3, -22, -73?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.08, -2\/231, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -46. Calculate the smallest common multiple of v and 0\/4 + (18 - 9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 2*j - 2. Let o be g(-2). Suppose 2*l + 19 = -6*u + u, -13 = -l + o*u. Factor c + 4*c**l - 7*c + 4*c**4 + 6*c.\nAnswer: 4*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119a + 9d6c?\nAnswer: 8bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-11)\/(-99) + (-2198651)\/(-117)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/8 - 2*h**3\/3 - 32*h**2 - 2. Calculate r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:42 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 19, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let r(s) = 5*s**2 + 9*s**2 + 12*s**2 - 35*s**2. Give r(a(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.26 + -22.265. Round l to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3784\/23 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*b + 10, 0 = 2*c - 7*c - 4*b - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 5 + 0*m + 5)*(2825 - 397 - 970).\nAnswer: 5832*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 855 (b) 2\/15 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1049620 + -264504815\/252. Let t = x + 1\/252. Calculate the common denominator of -107\/14 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/3)\/r)\/r*r)**(-1\/5)*r**(-5\/2)*r\/(r\/r**(-4)))\/(((r**5\/r)\/((r**6\/r)\/r*r))\/(r**2\/r*r**(-5))) assuming r is positive.\nAnswer: r**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**4 - 14*a**2 + 5. Let s(w) = -3*w**4 + 7*w**2 - 3. Let z(u) = 3*b(u) + 5*s(u). What is the third derivative of z(q) wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -4.11. Let g = -74.28 - -74.3. Let p(d) = d**3 + 6*d**2 + 5*d + 5. Let y be p(-5). Which is the nearest to g? (a) y (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721542 - 4?\nAnswer: 1721538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 29306*i**3 - 193333560*i**2.\nAnswer: 2*i**2*(i - 4935)*(i + 19588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86365373 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 74*u**2 - 215*u - 88. What is b(-71)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/((-7)\/70). Let d(b) = 9 - m*b - 3*b - 5*b. Let t be d(-4). What is the highest common divisor of t and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/20)\/17*1*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 11. Let n be z(7). Suppose -4*i + 7*p - 3*p = 40, 2*p = 5*i + 41. Let j = i - n. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:07 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8726 = -3750. Is 7\/(x\/(-3118) + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122911360 and 8898560.\nAnswer: 1966581760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 3}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86098168 - -86098292.307659. Let l = 2.686441 + h. Let d = 127 - l. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 86680?\nAnswer: 260040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*8*(-7)\/112?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8224981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.01715 litres in millilitres?\nAnswer: 31017.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2775394, -2775446, -2775496, -2775544, -2775590?\n\"Answer: y**2 - 55*y - 2775340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2128 and 9842?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*s**2 + 2\/7*s**3 - 2\/7*s - 18\/7.\nAnswer: 2*(s - 1)*(s + 1)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8064*v = -3*v + 194189 + 136312 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.61 - -44.332. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274321630 to the nearest integer?\nAnswer: 35698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126781635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -1. Let m = 12 + v. Let w = 4 - m. What is the closest to -1 in 0.2, 0.3, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + 7. Let q(n) = -3*n - 6. What is -6*q(h) - 5*z(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0 (b) -21\/25 (c) -0.054 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 13\/124 (b) -2\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 339*o**2 + 5. Let c(b) = -222*b. Give p(c(f)).\nAnswer: 16707276*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4246, 16968, 38170, 67852, 106014?\n\"Answer: 4240*k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((368\/(-6))\/(-23))\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 55 = 5*m, m + 4*g + 1 = 2*g. Solve 0 = j + 5*a + 6 + 1, 0 = -j + 2*a + m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -92, 5\/2, 2, -4, 0.67?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*h + 22246 = 6*h, 3*h = -p + 5567. Let w = 8196 - p. Suppose 3*d = -5*c + 781 + 1174, 4*d - w = -c. Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1285 (base 13) to base 14\nAnswer: d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28866 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12896.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/6 - 11*y**2 + 196*y. Let h(x) = 3*x. What is h(u(k))?\nAnswer: 3*k - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.58 + 1.42. Let i = 44.0012 - r. Round i to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/((-45)\/20))\/2. Calculate the greatest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {a: 1, u: 4, k: 3, b: 6, d: 1, g: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1647757.\nAnswer: -5\/1647757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 80*i. Let c(w) = 9*w. Calculate -56*c(p) + 6*t(p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(1\/4)\/f)\/f*f*f*f**(-9))**(-50) assuming f is positive.\nAnswer: f**(775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = z, -r - 3*r = -2*z. Suppose r = -w + 70 - 9. Suppose 4*q + 5*m - w = 0, -2*q - 3*m + 50 = -7*m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1511 + 1500.6072. Let z = j - -2.701. Let h = 7.7 + z. Round h to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2454 + 3004?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 453190763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2227*h - 107 = 4*u + 2222*h, 3*u + 3*h - 48 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4 - 2443*o**3*r + 2*o**3 + 2*o**2*r + 323*o**2 + 3*r wrt o?\nAnswer: -48*o - 14658*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2863*s - 4771*s - 342713 = 1266*s + 31087 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvvauvvi. What is prob of picking 1 u, 1 v, and 1 s?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 = -4*p - 39, -5*o + 83 = p. Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3064 - 2898. Which is smaller: n or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/2520 + o**7\/420 - o**6\/270 - 35*o**3\/6 - 18*o**2. Let m(c) be the first derivative of a(c). Factor m(k).\nAnswer: -2*k**2*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/2 + 7*y**3\/3 + 8. Find the third derivative of t(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 + -257. Let w(o) = -3*o**2 - o + 1. Determine w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008191306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14 + 32*r - 18 + 26 - 18. What is the remainder when w(4) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 - 2*v + 1. Let h(l) = -l**3 + 2*l + 1335. Let a(r) = 2*f(r) + h(r). Is a(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -32. Suppose s - x = -116. Let q = s - -141. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*h + v - 16, 4*h - 2*v = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - 30, 2*q + 310 = 5*m. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -4 + 2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(1 + (sqrt(475)*1 + sqrt(475) + 4 - sqrt(475)))**2 + 0.\nAnswer: -1504 - 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*r - 55*r + 620*r to a + c*r and give c.\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222112222221 (base 3) to base 6.\nAnswer: -34332124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*u = -10357, 0 = 3*k + 4*u - 9163 - 21938. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 98732 = 2*d, -17*d - 197386 = -21*d + 5*h. List the prime factors of d.\nAnswer: 2, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1256 + -3459.074712.\nAnswer: -4715.074712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-6201 + 6104 + (14 - (-1 + 0)))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 5:47 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.02106, 0, -2, 7, -149\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.093 and 33.37.\nAnswer: 3.10341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -44. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 306*a**2 + 13467*a - 125766.\nAnswer: -3*(a - 18)*(a - 17)*(a + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 6 - m**2 + m - 4*m - 9. Let n(k) = -k**3 - 11*k**2 - 8*k + 14. Let i be n(-10). Give h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.46 + -1.54. Let b = c + 10.934. Round b to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-46 - -24)\/(-110))\/(6\/120). Suppose 0*t + 147*t**5 + 1720\/3*t**2 - 128\/3 + 1140*t**3 + 2170\/3*t**w = 0. What is t?\nAnswer: -2, -4\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 3*s = -10*c + 10, -15*c - 11*s + 8*s = -21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 2*w. Does 18 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 19*g**5\/5 - 16*g**2 - 17. What is the second derivative of t(v) wrt v?\nAnswer: 228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/66)\/(16\/(-440))*(-32)\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 8) to base 16.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -287, -305, -337, -389, -467?\n\"Answer: -n**3 - n**2 - 8*n - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905 + 23*t - 905 - 4*t - 11*t - 10*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17756 - 4987 = -19*h. Suppose -2*q - 4*r = -782, 5*r - h = -5*q + 768. List the prime factors of q.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/318791 and -48\/28981.\nAnswer: 318791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 20 = 0. Suppose -9*x - 19 = -10*x - 4*i, x + 13 = 4*i. Suppose 5*q = 5*p - 6 - 64, x*q = 2*p - 23. Solve o*r = -3 + p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2\/(-34))\/((-5152)\/1904)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, h: 2, p: 2, g: 2, i: 1, q: 1}. Give prob of sequence ng.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193998430 to the nearest integer?\nAnswer: 13928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minus -1182771794482?\nAnswer: 1182771794523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-7 + 8)*240. What is the highest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnln when four letters picked without replacement from lfmmmfknmlknmlfmk?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63138.72 nanograms to grams.\nAnswer: 0.00006313872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let n(v) = 19*v**2 - 95. What is 95*g(o) - n(o)?\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4211076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/189*(-42)\/(-4)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41346 divided by -6.\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81357*i**3 - 14*i**2 + 162715*i**3 - 81358*i**3 - 41*i**2 + 6 + 2*i**4 to the form b + g*i**4 + d*i**2 + q*i**3 + c*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let f(t) = 3*t + 2. Let p(r) = -r + 1. Let a be ((-4)\/(-2))\/((-2)\/(-38)). Let b = a - 37. Let v(h) = b*f(h) - 2*p(h). What is n(v(g))?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 3*w + 32. Is 15 a factor of u(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2203684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -393*a**5 - 29476*a**4 + 92280*a**3 + 29710*a**2 - 91887*a - 234 = 0.\nAnswer: -78, -1, -1\/393, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34546+-0.04453\nAnswer: 34545.95547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691786601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 749*d**2 - 26621*d + 28. Determine p(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1*73 + (-1)\/(-1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 262 + -249?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 - 1034*f**3 - 37168*f**2 - 24320*f = 0.\nAnswer: -304, -40, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2456 and 228101?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 9:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 67. Let z = -51 + s. Which is the third biggest value? (a) z (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*u - 3*x, u + x - 11 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)*(-5)\/(-10). Suppose 1 - 11 = -5*c. Let v be -3 + c - -19 - 2. Solve t = 5*d - d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.2, -72141 in ascending order.\nAnswer: -72141, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**2. Let s(b) = 3*b. What is s(d(z))?\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*c - 1394990 = 0, -c - 3*c = 5*q - 1394992. Suppose -t - 2*t - q = 0. What is t rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8, -2\/7.\nAnswer: -8, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (6 + 14)*(-989)\/(-860)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -253\/35402?\nAnswer: -253\/35402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8494531 rounded to 2 decimal places?\nAnswer: 4.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40*170005.5\nAnswer: 6800220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1640, -2\/21, 2\/7, -2\/19, -0.056, 5?\nAnswer: -1640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*g = -7*g, -3*o - g - 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amz when three letters picked without replacement from amaza.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 4*h. Let f(a) = -a**2 - 7*a + 9. Let v be f(-7). Suppose -5*g + v = -h. Solve 3*j - g*l = -10, 4*j + 7*l - 3*l = -20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0*t**3 + 1\/12*t**4 + 0 + 0*t**2 - t. Let z(p) = 4*p**2. Determine z(y(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 7)\/(0 - 1). Let h(j) = 4*j - 5. Let a be h(u). What is the least common multiple of 4 and (60\/a)\/(4\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 7. Suppose -3*d - 8 = -o*d. Solve d*n + 3 = b, -3*b - 1 = 4*n - 0*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200806 is divided by 99087.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44375 + 810259 = 138*f. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0929 + -0.2071. Let o = 0.1 - 0.3. What is the second biggest value in 5, h, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 481456 and -1?\nAnswer: -481456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174 + -6119?\nAnswer: -6119.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 2471 = 3258 - 1843 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6 + (-24)\/(-36). Let t be 360001\/2 - g\/4. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -462344.\nAnswer: -462344.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**4 - 2*y**3 + 2*y**2 - y. Let q(d) = 13*d**4 - 25*d**3 - 26*d**2 - 55*d. Let f(n) = -21*g(n) + 3*q(n). Solve f(i) = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (-1 - 0))\/18. Let z(f) be the second derivative of -f + 0 - s*f**2 - 1\/54*f**4 + 2\/27*f**3. Factor z(a).\nAnswer: -2*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(30)\/sqrt(3)))\/(-2*sqrt(128)) - (sqrt(245)*3 + 2*sqrt(80))**2.\nAnswer: -4205 - sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 126. Suppose 20 = -6*g + l*g. Suppose v + 60 = g*v + 4*u, -u - 40 = -v. What is the highest common factor of 396 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 2*g - 217, 169*g - 48 = 4*m + 167*g for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132.37 - -133. Let q = v - 0.61. Let n = -1.98 - q. Which is the second smallest value? (a) -5 (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*k + 88*k - 5804 - 3164 = 0 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 953*s + 837 - 2743 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 166 - 168 + 5*o - 4*o + o**2. Let i = -7 + 4. Let k be u(i). Solve -3*g = g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 89*m - 18. What is the lowest common multiple of 80 and r(2)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 58. Solve 2*y = 2*x - 2, -k*y + 24 = -11*y - 4*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -928 + 259. Let s = -338 - o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/5 or -3\/215?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-28) - 32\/(-112)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q - 11. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 7209.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449664721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793 times 1?\nAnswer: 3793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**2*p**3 + 5721*i**2*p**2 + 484499*i**2*p - 3*p wrt p?\nAnswer: 60*i**2*p + 11442*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from {h: 3, k: 3, v: 2, z: 6, t: 3}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/147)\/(92\/(-28)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 163?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j - 300*j + 177*j.\nAnswer: -150*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 2, k: 1, b: 2}. What is prob of picking 1 b and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14086430 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 74\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 a when four letters picked without replacement from ccacccaacaacaccaacaa.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/12 - s**3\/2 - 3*s**2 - 9. Let u(y) be the second derivative of n(y). Give u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000075487638 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1813870, 14510779, 48973818, 116086051, 226730542, 391790355, 622148554?\nAnswer: 928688203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.189479 millilitres to litres.\nAnswer: 0.003189479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12.1. What is the third smallest value in t, -1, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1141, -1638, -2077, -2458, -2781?\nAnswer: -3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2*y**2 + 271. Let k(d) = 12*d**2 + 3. Give p(k(l)).\nAnswer: 48*l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -1c66d35?\nAnswer: 1c66d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50061 - 774275.\nAnswer: -824336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**5 + 38282*k**3 - 13577*k**2 - 15*k wrt k?\nAnswer: 600*k**2 + 229692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 + 46*v**2\/7 + 44*v - 112 = 0 for v.\nAnswer: -7, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6088.4573 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(117)\/((3*sqrt(81))\/sqrt(9)) + ((2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65))\/sqrt(5)*-2 + 0)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**3 + 82*g**2 - 720*g + 7012. What is k(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.047841 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712379563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31927986?\nAnswer: 2, 3, 591259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 2505*o + 590620. What is w(315)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**3 - 20*i**2 + 155. Let k(d) = 5*d**3 + 7*d**2 - 52. What is -17*k(s) - 6*z(s)?\nAnswer: -s**3 + s**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 570*d**2 - 10840*d + 247. What is t(19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, -3, -562, -4 in increasing order.\nAnswer: -562, -4, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70 + 24c?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*k. Let g be k\/((-4)\/6 + 1). Let o(u) = -u**3 - 4*u**2 - 3*u - 2. Let p be o(g). Which is the second biggest value? (a) p (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.2 + 765.2. Let w = 749.313 - j. Round w to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 127520268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 78 = -3*t - 6, -192 = -3*f - t. Let r(x) = x**2 + 13. Calculate the remainder when 3069\/f + (-2)\/(-7) is divided by r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000020 (base 4) to base 6\nAnswer: -1254224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003907681 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1182857096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2\/2 - 1. Let f(r) = r - 1. Let a(l) = -27*l + 18. Let z(j) = a(j) + 18*f(j). What is z(v(p))?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ba545 (base 14) to base 5.\nAnswer: 2323311343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*q - 1736 - 331, 3*n = 18. Solve 675 - q = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 4. Let t be h(6). Let q = -20 - -30. Suppose 0 = 4*b - 50 - q. Solve 7 = 5*m - 2*z + t, -m - b = 2*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-2 - (-27 + 42)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 89. What is the remainder when (1 - 77\/2)*-2 is divided by (0 + (-2)\/d)\/((-98)\/1617)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1 + -9) + 3\/12. Suppose s = -0*i - 6*i + 18. Suppose -i*u + 414 = -4*d + d, 0 = u - 2*d - 141. What is the highest common factor of u and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6 + 6*b**2 - 5*b**3 + 1 + 4*b**3 + 17*b. Let d(n) = n**2 - 27*n + 100. Let h be d(23). Let w be q(h). Solve 2 = -w*o - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (25\/10 - -3)*4 and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1378*t**3 - 5*t**2 - 13*t - 3. Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -491\nAnswer: 199\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 12*b - 2*j, -361*b + 366*b - 20 = -3*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -758, -974, -1184, -1382, -1562, -1718?\n\"Answer: x**3 - 3*x**2 - 214*x - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -480 in 4, 1, 1\/2, -16, -4\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 50*n = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -224*r**2 - r - 1. Let v be w(2). Let t = 9874\/11 + v. Calculate the common denominator of (-46)\/2*14\/63 and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23)\/(414\/180) - -22343?\nAnswer: 23, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/3 + 386*w**3\/3 - 1996*w**2\/3 - 1048*w + 1584 = 0.\nAnswer: -198, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 3, -1\/4, 0.112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2861 is divided by 102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*s + 213*s = 266. Let a be 6\/(-14) + 0 + s\/7. Solve 5 = -2*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.32 and -76965.1075.\nAnswer: -76965.4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 37. Let w(p) = 179*p**3 - 2*p**2 + 7*p - 4. Let r be w(1). What is the greatest common divisor of f and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, q: 1, y: 2}. What is prob of sequence vi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a7c9679 - -4?\nAnswer: -2a7c9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(27) + -3)*-2)**2 - (((-1*sqrt(210))\/sqrt(10))\/(5*(sqrt(63) - sqrt(7))))**2.\nAnswer: -28803\/100 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*1*(13760\/30 - 12).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 750, 2252, 5094, 9720, 16574, 26100?\nAnswer: 38742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61, 241, 535, 937, 1441, 2041, 2731?\n\"Answer: -l**3 + 63*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78177*z - 886 = -78302*z - 261 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/5 + (5 - 5)\/9. Solve 0*z + 4*z + 3*q - 17 = 0, 0 = -v*z + 5*q - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 15 + (3 - 14). Let k(d) = 14*d**2 - d + 2. Let l(n) = -14*n**2 + n - 2. What is j*l(x) + 4*k(x)?\nAnswer: 14*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - -3 - -4) + 2. Let x(t) = 43*t + 2. Is 13 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/147797 + 5465976379\/1773564. Let u = 3076 - o. Let j = 11145 - 133841\/12. What is the common denominator of j and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 4*r + 24. Give t(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0 - 10*j**2 + 0*j**3 + 22*j - 1\/4*j**4. Differentiate y(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -0.3, -5\/26?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 988 = 388 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68739 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490855 is divided by 212970.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = -u, 3*f + 2*u + u = 15. Suppose 1 = -3*x - f, -3*r + 234 = -3*x. Suppose r = j + j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqeqqqeqeqeqeqeq. What is prob of picking 1 e and 2 q?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 + -231. Let t = n + -197. Let y = 3.7 - 4. Which is the second smallest value? (a) t (b) -2\/23 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (9 - (23 + -20)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - b**2 + 2*b - 1. Let l = 0 - -3. Suppose -4*x = 4*t, 4*x + l = t - 2. Give a(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 11*x**6\/120 - x**5\/6 - 11*x**2. Find the third derivative of q(r) wrt r.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 96*l - 208. Let d be k(-15). What is d rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564.1 + 564. Which is the nearest to -7? (a) g (b) -4 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose m = t - 0*t. Suppose -740 = -t*x - 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/220 or -1?\nAnswer: -3\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/71 + 132\/355. Suppose -2*u + 2*g + 14 = 308, 5 = -g. Let y = u - -1974\/13. What is the second biggest value in -0.5, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(10\/16 - 1). Let f = y + 13. Calculate the remainder when 14 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-10)\/(-6)*-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4 and (-1)\/(-3)*894\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 6 - 27\/3 - (-410)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25979888.\nAnswer: 2, 11, 147613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fccwfwccw. Give prob of picking 2 f and 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2092127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.012938 in -2, -2\/5, -966\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -146460.449 rounded to the nearest one hundred?\nAnswer: -146500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 - 1100*l**3 - 154514*l**2 - 897600*l - 1331712 = 0.\nAnswer: -272, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from myfmssffymmj?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27072 by -18.\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 - 0.03. Let x = 0.5 + w. Let d = x - 0.1. Sort 4, 2, d in ascending order.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177124*b**2 - 288*b + 3 wrt b?\nAnswer: 354248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 1532*y + 1532*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a + 6*a. Let f(t) = a - 1 + 0 - 2 - 2*t. Calculate f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4306, -4304, -4302, -4300?\n\"Answer: 2*p - 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/32 and 43\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.78 - -6.59. What is w rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 0.29384.\nAnswer: -0.10616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m - 6. Suppose -d + 1 = -4. Let a be v(d). Suppose -5*q + 4*c = -34, -a*c + 13 = -3. What is the lowest common multiple of 9 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12329598 - 21*u + 69*u**2 + 12329598 in the form c*u**2 + m + o*u and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -515*b - 38570. Suppose u - g - 22 = 0, -2*u - 5*g = -23 - 7. What is the least common multiple of u and d(-75)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-3))\/(6\/6606). What is the second derivative of 1771*y**4 - 2*y**2 - 22*y - h*y**4 + 2*y**2 wrt y?\nAnswer: -768*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + n**4 - 2*n**4 + (7*n - 4*n + 12*n)*(-4*n**3 + 8*n**3 + 3*n**3).\nAnswer: 104*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 28 = -4*f + k, -3*f + 5*k = 8. Let c(i) = -50*i + 498. Let l be c(10). Is (698\/(-4))\/(f\/(-24)) - l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x**(-2\/3))\/x)*x))\/((x\/x**(-3)*x)\/x)*x\/((x*x**1)\/x)*x**(-1\/2))\/((x**0)**20\/((x\/x**(1\/5))\/(x**(-3\/2)*x*x))) assuming x is positive.\nAnswer: x**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*q + 27 = 0, 6*q = 4*q - 6. Suppose 0 = 5*p + 2*y - 106, -5*y + 17 = p + g. Calculate the remainder when (6\/(-9))\/((-4)\/390) is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atatatkktaaakkt. Give prob of sequence ka.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 420281349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 440, 13, 3, -17 in decreasing order.\nAnswer: 440, 13, 4, 3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in -2, 1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.139245568 to 4 dps.\nAnswer: 0.1392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/49608 and -161\/4134?\nAnswer: 49608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let h(s) = 2*s**2 - 1. Let l(a) = -11*a**2 + 3. Let f(k) = 5*h(k) + l(k). What is f(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y)*(4 - 4 + y**2) + (3*y + 5 - 5)*(-3*y - 3*y**2 + 3*y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1633, -1645, -1671, -1717, -1789, -1893, -2035?\nAnswer: -2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 not equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f - 18. List the prime factors of j(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 274, -0.1, 10\/9 in ascending order.\nAnswer: -0.1, 1\/3, 10\/9, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/12 + 13*b**3\/6 - 5*b**2 - 18*b. Let k be f(-14). Does 26 divide (-8)\/10*13*(-60)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6 - 0. Suppose 4*v - b = 10. Suppose 2*a - 50 = l + l, -5*l + 55 = v*a. Calculate the remainder when 39 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:34 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -258 (b) -2\/5 (c) -1\/14 (d) 120 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12881249774.57 + -25.\nAnswer: 12881249749.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -30. Suppose -c - 5 = 0, 3*b + 0*c - 65 = c. What is the greatest common factor of b and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:40 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 2. Let j(s) be the first derivative of 1\/2*s**2 + 5 + 4*s. What is j(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000914 minus -8241?\nAnswer: -3992673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092280.\nAnswer: 2, 5, 19, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-1)\/(-10) + 9\/(-15)). Suppose a + 44 - 165 = -5*u, 2*u + a - 49 = r. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.103, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*r - 23, -3*j + j + 15 = r. Calculate the highest common divisor of j and 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43239 and 875742.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(60))\/sqrt(12)*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f + 1584 = 89*f. What is the greatest common factor of f and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469*0.5.\nAnswer: -234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49424*l - 24678*l - 24742*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 30861 = 30717 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f + 1 + 7*f + 16*f + 3*f**2)*(-30*f**2 + 30*f**2 + 74*f**3).\nAnswer: 222*f**5 + 222*f**4 + 74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i. Suppose -2*s + 3 - 9 = 4*t, i = -3*t + 3. Sort 1, 3, s.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*c = 33, 5*k + 0 - 45 = -5*c. Let n = -24 + 21. Let f = k + n. Calculate the lowest common multiple of f and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004342 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 313784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 165854 = -15*m. Suppose 5*x = 2*i - i - 31901, 2*x = -2*i - m. Round x to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 0*w**3 - w**3 + 2*w**3 + 4*w + 4 + 5*w**2 + 3*w. Let j = 5 - 9. Determine i(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5\/(-4) - (-30)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 300 + -288. Solve 5*x = -2*o - 2*o + s, -2*x + 3 = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - (-53 - -87 - 27).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6790693 - 27*b - 6790693. Let g(i) = 2*i**2 + 7*i. Determine g(k(v)).\nAnswer: 1458*v**2 - 189*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10034112123 (base 5) to base 13\nAnswer: 2115c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1647513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971811937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*k - 6. Let j = -2046 + 2050. Sort -1\/2, j, k in descending order.\nAnswer: k, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 1. Let k(n) = 14*n**3 + 21. Suppose -19*f - 341 = 742. Let p be ((-2)\/6 + (-76)\/f)\/(-1). Give p*k(g) + 21*m(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -14 + (-26)\/((-182)\/68943).\nAnswer: 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 2499066.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-30) - (-1)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n = -10*n + 9250. Which is smaller: n or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -10, -8459, -3.\nAnswer: -8459, -10, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n - 6 = -57*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119536506 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 4*h - 3. Let n(t) = t**2 + 3*t + 2. Let u(a) = a**2 + 3*a + 2. Let s(m) = -3*n(m) + 4*u(m). Determine 3*s(j) + 2*x(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:49 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 57*u - 198. What is the remainder when 53 is divided by p(53)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6285445 to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/15)\/u*u\/(u*u*u**(-1\/2)))**(-5\/6))**14)**(-22) assuming u is positive.\nAnswer: u**(-3157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-15) + (-2)\/10. Let y = 2 + x. Find the third derivative of -o**y - 2*o**5 + 0*o + 0*o wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 204 = 11*q. Let m be (-6)\/(-14) + (-10020)\/(-140). Calculate the greatest common divisor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 3. Let w be x(2). Suppose -3 = 5*t - 13. Suppose g = t*g - w. Let j(z) = z - 5. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*a + 98, -183 = -5*a - 2*y + 20. What is the remainder when a is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001266066 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01058 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 36, 14, -30, -102, -208?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 - b**3 - 21*b**3 + 15*b**3 + 23*b**3.\nAnswer: 65*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -28. Suppose -7*r = -p*r - 15. Suppose r*s = 4*c + 717, -3*s - c + 699 = c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) - (-5*1*sqrt(2))**2) + -3 + sqrt(108)\/((sqrt(294) - -1*sqrt(294)) + sqrt(6)).\nAnswer: -53 + 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38543*d + 38539*d = -118860. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -35. Let w be (-21)\/f - 1\/4. Are w and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10850151 + -10850151.13000018. Let o = p - -0.13. Round o to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 12. Let o be d(6). Let n(r) = r**2 - 6*r - 5. Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*x + 893, 144 + 298 = 2*x + 2*a. Let y = 225 - x. Solve l - 4*p = -5*p + 7, 0 = -4*l - y*p + 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*b*j**4 + b*j**3 - 3*b*j**2 - 2*b*j + 2*j**4 - 259*j**3 + 14*j**2 + 278*j wrt j?\nAnswer: -864*b*j + 6*b + 48*j - 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 9. Let h(a) = -2*a - 10. Let z(g) = 6*h(g) + 7*n(g). Let b be z(3). What is b rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-4)\/(-112)). Let x = -5.15 + -11.65. Let b = x + 16.3. Sort b, k, -4, 2\/3.\nAnswer: k, -4, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114867017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8221108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k**2 + 13 + 2*k - 3*k + k**3 - 3*k + 3*k. Let l be z(9). Suppose -x + 0 = -l. What is the greatest common divisor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/4*(-8)\/(-10). Let d = -423905 + 2967333\/7. What is the biggest value in n, 6, -1\/5, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 18. Let r be s(-5). Suppose 854 = 2*h + 2*h + r*j, -4*h + 852 = 2*j. What are the prime factors of h?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -0.1, 4, 0, -15, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12298958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**4 - 43585*b**3 - 109020*b**2 - 21815*b + 43610 = 0.\nAnswer: -2, -1, 1\/2, 4361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -308 times -200083\nAnswer: 61625564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 0.267\nAnswer: 22.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.397966 millilitres to litres.\nAnswer: 0.007397966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 17 - 33 + 10 + 3*g**4 - g**3 - 5*g + 2*g**2 + 7 in the form l*g**4 + b*g**2 + a + o*g + r*g**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 3*y**2 - y**2 - 2*y**3 + 0*y**2 - 2 to d*y**2 + u + i*y**3 + m*y and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 - 2*k - 2. Calculate f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1876413 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-64)\/(-10) + (-6)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35 - 2 - 8\/((-16)\/4). Suppose 4*o = -o + 3*b + f, -4*b = 20. Solve -3*n + o = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.096 + -0.284. Let g = u + -1.62. Put g, 7\/3, 0.3 in descending order.\nAnswer: 7\/3, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)*v\/v**(7\/3))\/((v*v**(-4)\/v*v)\/(v*v*v\/(v**3\/v)*v*v)) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1204 - -130.\nAnswer: -1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 456008 divided by 4\nAnswer: 114002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - h - 14 = -3*h, 0 = 2*h - 2. Let s(c) be the third derivative of -5*c**2 + 0*c + 0 + 1\/24*c**v + 0*c**3. Let d(z) = -z**2. Give d(s(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 150*v**3 - 2025*v**2.\nAnswer: -v**2*(v + 15)*(v + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 37. Solve 0*f = 2*w - f + 4, 5*w - v*f = -9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/30 + 13*c**4\/6 - 452*c**2 - 620*c. Differentiate p(q) with respect to q.\nAnswer: 4*q**3 + 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 5 + -5 - -1. Let w be 3*1\/12*4 + z. Suppose -4*u + w*o = -44, -4*u + o + o = -46. What is the remainder when u is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257932 divided by 4?\nAnswer: -64483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y - y)*(y**3 + 0*y**3 - 2*y**3 + 3*y).\nAnswer: -y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, l: 6}. Give prob of sequence yyl.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**(-10)\/(m**(3\/8)\/m*m\/(m**(-20)*m)) assuming m is positive.\nAnswer: m**(-955\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-6))\/(-12))\/(-2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 143\/(-1001) + (-9)\/(-14). What is the closest to 2 in 4, 1.4, -1\/2, w?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -972105 or -8748943\/9?\nAnswer: -8748943\/9","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 92*i**5\/7 + 540*i**4\/7 + 976*i**3\/7 + 528*i**2\/7 = 0.\nAnswer: -66\/23, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z + 39*z + 42*z + 47*z - 165*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 2*v + 1. Suppose -14*q = -9*q + 140. Let w be 84\/q + -2 + 7. Give h(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1043*b + 2 + 1040*b - 2. Let n(p) = -114*p**2. Give n(k(j)).\nAnswer: -1026*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - 2.4. What is the second smallest value in 5, -1, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*s - 4 + (2*s + s - s)*(-2 - 1 + 5) + 2*s + s - s + 3*s - s + 0*s)*(-10 + 6 - 13)*(-s + 4 - 4).\nAnswer: 170*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125\/3 + -41. Let v(h) = h - 14. Let j be v(13). Which is the closest to j? (a) -4\/3 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01795997 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - x**2 + 5*x + 2. Let r be o(-2). Suppose -4*k + k - 3 = 0, -5*c - 15 = 5*k. Let v = r + c. What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 7}. What is prob of sequence qq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, -3, 92 in ascending order.\nAnswer: -5, -3, -2, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 3*u**2 - 2*u - 9. Let t be g(9). Let b = t + -1312. Suppose -6*j + b = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/13 - 38899818*u\/13 - 116699472\/13.\nAnswer: 2*(u - 19449912)*(u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:39 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**2\/3 - 16188776*s + 9713266\/3 = 0. Calculate s.\nAnswer: -4856633, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmdzzzmzzzzzzzzz. Give prob of sequence dmz.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let l(v) = 28*v - 8. Calculate 6*h(g) + l(g).\nAnswer: 34*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -397358 divided by -2?\nAnswer: 198679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*c - 3*w - 18, 2*c - 12 = -86*w + 88*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-47 - (-22 + 0 + 6)) - (-1 + 139)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137968732 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x. Let h(y) = 202*y. Calculate h(t(s)).\nAnswer: -606*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6159941 millilitres?\nAnswer: 0.0006159941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 13. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Let q be x(4). Suppose 2*i = 5*z - 17, 4*i - 19 = -3*z + 12. Which is the fourth biggest value? (a) -4 (b) -1\/5 (c) i (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v + 160 = 63*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38106 = 5271*x - 306246 - 58607 - 213748 for x.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -46471\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - (-5 + -3)) - (23 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 4 - 2*u**2 - 4 + 1 + u**2. Let p be l(-8). Let v(a) = a**3 - a**2 - a - 2. Let b(y) = 3*y**3 - 4*y**2 - 3*y - 7. Give p*v(d) + 2*b(d).\nAnswer: -d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6856062520 to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2116, -5178, -9458, -15226, -22752, -32306, -44158, -58578?\nAnswer: -75836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 - 4 + 2*m**4 - 8*m**4 - 1 + m**3 + 4 + m to the form s*m + d + q*m**2 + c*m**3 + w*m**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.185, 2\/509, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/5)*n)\/((n\/((n**(-38)*n)\/n))\/n))**48)**(6\/5) assuming n is positive.\nAnswer: n**(-53856\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 8, m: 4, o: 1}. What is prob of picking 1 m and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 207747004147*d**2 + 207747004147*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*o = -18, 3*o - 3 = -k + 7. Let q be (-6)\/(-24) - 10\/8. Put -4, k, q in ascending order.\nAnswer: -4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 40*c**2 - 18*c + 35. What are the prime factors of i(-7)?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1006\/11? (a) -139 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, 0.4, 4, 7, 3\/4, 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l + 211*l = 138*l - 440 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 144\/11, 0.1, 0.3, -4 in increasing order.\nAnswer: -4, 0.1, 0.3, 144\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -80195 minus -0.3?\nAnswer: -80194.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 1244457431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90231 is divided by 121?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47.76 - -0.76. Let c = x - -17. Let p = -30.00176 - c. Round p to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 3*k - 1. Let r be d(4). Let n be (-2)\/(-3)*15\/2. Suppose -4*y - 1 = n*l - 3, -4*l - 11 = -y. Which is the closest to l? (a) -2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 81 + 89 - 136*m + 213*m.\nAnswer: 77*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:29 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-2.9\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.7 + 10. Let c = -5.3 + k. Let s = c + 7. Put -0.2, s, -4 in descending order.\nAnswer: s, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6769, -6773, -6777?\n\"Answer: -4*s - 6765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3343*f**6 - 2*f**5 + 19178*f**2.\nAnswer: 401160*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*a - 73 = 3*a, 5*q - 5*a - 65 = 0. Solve 2*c - x - 4 - 5 = 0, 0 = -4*c - 2*x + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 446.\nAnswer: 4906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 65*i**4 + 155*i**3 + 35*i**2 - 160*i - 100 = 0 for i.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6108.3 months?\nAnswer: 509.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:45 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96, -406, -1746, -4338, -8596, -14934, -23766?\n\"Answer: -69*w**3 - 5*w**2 - 4*w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 223*y + 1798. Determine k(-12).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8008 divided by 286.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110133 - -3?\nAnswer: -110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 216 - 204 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 11, 1, -3\/7, -23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/75)\/3*105\/(-63)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1106587742, -1106587740, -1106587738, -1106587736, -1106587734, -1106587732?\n\"Answer: 2*f - 1106587744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.3284 grams in tonnes?\nAnswer: 0.0009793284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - o = -2, -2*f + f + 4*o = -9. Calculate the remainder when 13 is divided by 1\/(f + 18\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 + (-87 - -96) - 33\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3830*p + 20641 = -128729 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.528 + -0.328. Which is the closest to -1.71? (a) 0.5 (b) y (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b - 37. Let y = 11363 + -11367. Give q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 9*u + 1. Let h(i) = -1 + 400*i + 1 - 405*i + 4*i**2. Determine 5*h(k) - 3*z(k).\nAnswer: -k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f + 4*f - f)*(-74 - 49 - 109)*(-f + 0 + 0) to the form k*f + h + b*f**2 and give b.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 68, 130, 212, 320, 460?\n\"Answer: f**3 + f**2 + 38*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - -0.1. What is the closest to 0.1 in -4, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-2727) - 1685486\/153318?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(18)).\nAnswer: 12 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 2, u: 3, p: 3, h: 6}. What is prob of picking 1 h, 2 b, and 1 p?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3758145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3\/3 + 11*q - 40. Let c be n(6). What is the highest common factor of c and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 6*r - 4. Let t be 2 - ((1 - 2) + 3). Suppose 2*f - 2*c - 20 = t, 5*c + 2 = -18. Calculate d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/36)\/(2\/9). Let d(j) = -2*j**2 + j + 9. Let y be d(s). Is 2\/12 - 370\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(60)\/(sqrt(36)\/sqrt(3)).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1023.26 - 1015. Let w = a + -13.5. Let i = 0.24 + w. What is the second smallest value in 5\/3, i, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/(18\/(-135))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)\/(c\/(c*(c**(1\/6)\/c*c)\/c)))**46\/((c\/(c*c\/((c*c*c*(c*c**10\/c)\/c)\/c)))\/(c\/(c\/(c\/(c\/(c*c**(-4\/5)*c))*c))))**(-3\/20) assuming c is positive.\nAnswer: c**(-15749\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (1353\/1045 - (0 - 9\/15)). What is the closest to w in -3\/5, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.511 times -0.02?\nAnswer: 0.05022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -1)\/5 - (-7)\/5. What is the third smallest value in x, -86, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 25*u - 13. Let d be f(9). Let w = -10.7 - -10.6. Which is the closest to 1? (a) w (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 1\/18*y**3 + 3\/2*y - 5\/6*y**2 - 115. Factor s(n).\nAnswer: (n - 9)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4499\/252 - 124\/7. Let k(y) be the second derivative of 0*y**2 - 2*y + 1\/9*y**3 + 1\/90*y**6 + 1\/20*y**5 - 1\/126*y**7 - v*y**4 + 0. Factor k(p).\nAnswer: -p*(p - 1)**3*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.8 + 11.2. Let u = h - 19. Let n = -209 - -1879\/9. Which is the nearest to -4? (a) -0.2 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/35 + 96\/105. Which is the smallest value? (a) 3 (b) -0.17 (c) 0.2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/1680 - x**4\/8 + x**3\/2 - x**2. Let u(j) be the first derivative of m(j). Differentiate u(y) with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and -127\/3957120.\nAnswer: 3957120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185.2 - -174. Let o = -12.4 - m. What is the second biggest value in -0.1, o, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016696373 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096642 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/18*14\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 175095728 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2 + 6. Let j be p(4). Let k = -108 + j. Let a be 8 + -7 + k\/(-102). Is a at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**3 - 4*y**2 + 4*y + 17. Let p(k) = 4*k**3 - 2*k**2 + 2*k + 8. Let g be (-1 + 0)\/((-7)\/(-42)). Let o(l) = g*h(l) + 13*p(l). Factor o(s).\nAnswer: -2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 9*o + 8. Let m = -414 + 437. Suppose -9*n + m = -4*z - 10*n, -n = -1. Determine a(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybjjmir. What is prob of picking 1 y and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4 - 5*x**3\/3 + 12*x. Find the second derivative of k(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1543113)\/(-27027) - 57*1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 14*d**2 + 38*d + 17. What is a(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100205600 is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) + (-75)\/(-10). Let j = w + -6. What is the tens digit of 407\/22 + j\/8*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1057, -1070, -1097, -1144, -1217, -1322?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -392 - -408. What is the least common multiple of 48 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjjwjjwjujwwj. Give prob of sequence uw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -2*f**3\/3 - 9*f**2 - 10*f. Differentiate p(u) with respect to u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(1400\/(-90))*(-9)\/54*-6.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -465 + 461 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44*(-3)\/((-96)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 16 + c - 2409*c**2 + 2318*c**2 wrt c.\nAnswer: -182*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011321362 rounded to 4 dps?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -906*p + 909*p - 5*k + 74, 5*k = -9*p + 38 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:42 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -14. Suppose -2*f + 2*u + 5 + a = 0, -11 = -3*f + 2*u. Suppose 3*o = w - 11, 5*o = -w + f*w - 30. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(0*b - 4*b + b) - 4 + 4 - b)*(-b - b - b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)*w*w**(-3\/2)*(w\/(w\/(w\/w**(2\/5)))*w)\/(w*w\/(w\/((w*w*w*w**(2\/5)*w*w*w)\/w)))*((w*w*w\/(w*w**(-5))*w)\/(w\/(w*w**0*w)))**(-4) assuming w is positive.\nAnswer: w**(-1259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -12.4. Let m = 1 - p. Put 1\/4, 4, m in ascending order.\nAnswer: m, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(8) + -1*sqrt(40)\/sqrt(5))\/sqrt(4)*1)**2 - (-3 + -6*-2*(-2 + sqrt(2)))).\nAnswer: -81 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862412?\nAnswer: 2, 149, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2)*2 + 18. Let g = 18 - o. Suppose 3*h + h = -4*m + 140, -g*h + 68 = 2*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a + 665 = 52*a + 233 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**3 + f**2 + 3*f - 1. Let j be y(2). Let b(d) = d**2 + 36*d + 266. Let o be b(-24). Let n = o - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -413.910098 rounded to two dps?\nAnswer: -413.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*p - 49 - 11, 2*k = -2*p + 4. Let h be (0\/1 - k) + 1. Let n = 29 - h. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 805396 and 27240?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 + 9*c. Suppose -2*m - 3*v - 15 = 0, -5*m + 10*v = 12*v + 43. Let z(l) = 2*l - 3*l**3 - 4*l - 3*l. Calculate m*z(y) - 5*j(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*s - 155*s - 2112 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.424878923 rounded to two decimal places?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-90) - 4354\/(-3110).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 113, 250, 493, 878?\n\"Answer: 6*t**3 - t**2 + 28*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2251 - 2231 = -4*i + 2*w, 0 = 3*i + w + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 99*r - 3168. Let f be b(32). Solve f = 1181*w - 1184*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*x = -20, -x + 1 + 4 = -4*v. Let f be v + 5 + 0 + -3. Let n be 22\/6 + (-6)\/9. Which is the second smallest value? (a) f (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*i - 11640 = -10*i for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) - (-6 + 3). Let v(s) = 5 + 27*s + 6*s - 4. Is 17 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 - 122*s**2 - 472*s + 8726. Calculate n(17).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - -0.3. Let s = 43265 + -43264. Which is the fourth biggest value? (a) 4 (b) s (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -7. Suppose -w = j - 5. Is (-1312)\/j - (-6)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + (3 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 + 65. Let k = -1 - b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5222*o = 6997*o + 83425 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/(5 + 3)). Let j(w) = -9*w + 1. Let s be j(-2). Solve z*k - s = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d + d)*(-5 - 7 + 4).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - -10) + -5 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3330*l**2. Let f(r) = -36*r**2 - r. Calculate f(m(d)).\nAnswer: -399200400*d**4 + 3330*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190042*f**2 - 63350*f**2 + f - 63348*f**2 - f - 63342*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 1185 + 2*w + 6641 - 2*w + 0*w.\nAnswer: -w + 5456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3049*r**3 + r**2 - r + 2. Let m be g(-2). What is m rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 142*j - 1. Let y(t) = 801761*t. Calculate l(y(h)).\nAnswer: 113850062*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/16*-5 + 0. Let j = -57\/8 - v. What is the common denominator of (0 - -36)*12\/(-120) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 17200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 216\/112 - 1\/2. Let a = 76.97 + 0.03. Let n = a + -77.5. What is the third smallest value in -5\/4, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 1. Let w be c(-6). What is the tens digit of w\/((-105)\/(-250))*(-312)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 48\/11, 5\/4, 4, -1046?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 9*a**2 + 12*a - 12. Let z be k(10). Let s = 12 - z. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 59667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -1\/2 (c) 6\/29 (d) 4\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 - 5*s**3 + (-3*s + 3*s + s**2)*(3*s - 5*s - s) - s**3 - s + s - 2*s**3 + 4*s**3 - 6*s**3 in the form h*s + g*s**2 + y*s**3 + p and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105694 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 5. Let x be w(-6). Let c = x + 5. What is the remainder when 29 is divided by (-4)\/(0 + c\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:18 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/12 + 1\/(-2) and (-3)\/21*36 + 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 618a + 3?\nAnswer: 618d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 763 - -6004583.\nAnswer: 6005346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -8)*(21 - 20). Let m be ((-73)\/(-2) - 0)*-2. Sort 1, m, v in ascending order.\nAnswer: m, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 194\/5?\nAnswer: 194\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 - 3. Let z = f - -0.5. Let s = z + -3.6. Is s smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793011.\nAnswer: 11, 19, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c44 + 5?\nAnswer: c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 - -12216?\nAnswer: 12245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose 3*g + 270*t - 275*t - 55 = 0, -25 = -g - 5*t. Solve -a*n + g - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-220)\/(-30)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508628 (base 9) in base 7?\nAnswer: 2364161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1789013*d**4 - 576523*d wrt d?\nAnswer: 21468156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1337 - 550. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 13)*(-2*k - 5*k + 4*k)*(2 + 0 - 1)*(-3 - 1 + 2)*(-85 + 85 - 7*k).\nAnswer: 672*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 28 - 20. Suppose m = 3*m - o. Solve -4 = 2*n + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-6554)\/10)*1250. Round k to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626802.\nAnswer: 2, 3, 11, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {e: 2, x: 6, g: 5}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.195256 months to centuries.\nAnswer: 0.01682938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304112 - 3379833 - 2786479 = -230*p. What is the highest common factor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.72 - -1.28. What is the closest to z in -0.1, -0.04, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 15*f - 202. Let l = 791 - 800. Let j be r(l). Is 15 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 250*b - 257. Is w(9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-138)\/92)\/((-3)\/(-8)))\/(((-90)\/(-5))\/144)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*m - 873, m = 2*m - c + 284. Suppose 2*k - 2*o - 4*o = -316, k + 3*o = -110. Let g = k - m. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 32 = -0*z + 5*z + 10*j, 0 = 5*z - 12*j - 439 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - 2. Let z be j(2). Let y be 3 - 4\/(-2 - z). Solve -2*o - 6 = 3*p, -2*p - y*o + 5 = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 2\/13, 0.3, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.8 (b) -1\/58 (c) 138\/13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:12 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 - 119*h - 65. Is 29 a factor of r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {m: 3, b: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958 + -921. Let k = 31 + -61. Let l = k + w. Solve -x + 2 = -5*i, 2*i - 4*x - 17 = l*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 254 = -4*m - 2*f, 4*m = -2*f - 204. Let b be (527\/51 - -6)*-3. Is b less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1728) + 2)*4 + 4*(sqrt(1728)*3*-5 + sqrt(1728)))**2.\nAnswer: -50688*sqrt(3) + 3345984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = -9*f + 306. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/23290 and 71\/1633190?\nAnswer: 223747030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9))**(-38))**(1\/8) assuming w is positive.\nAnswer: w**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.635, 0.2, -4\/5, 0.5 in descending order.\nAnswer: 0.635, 0.5, 0.2, -4\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1148333 (base 9) to base 11\nAnswer: -395a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (14 - (11 + -4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 9*c**2 - 9*c + 3. Let m(y) = -10*y**3 - y - 1. Suppose 0 = 19*x - 16*x + 3. Let f be m(x). What is the remainder when n(f) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.046 (b) -0.5 (c) 0.1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100 = -13*v + 9*v. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 19. Suppose 82*r - 18*r + 268 = -70*r. Give b(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104124.\nAnswer: 2, 3, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooomomooooo. What is prob of picking 2 o?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 68 - 3*j - 136 + 42. Let w be r(-8). Let x = -3 - -2.8. Which is the second biggest value? (a) x (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 215*w + 419. Is o(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115023 (base 6) in base 2?\nAnswer: 11001010000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -57 + 6 - 12.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -5*b**4\/24 - 5*b**3\/6 + 1270*b**2. Let w(r) = -9*r - 9. Give 7*c(h) - 4*w(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5357.\nAnswer: 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h + 70269. Let x(g) = 12*g. Determine v(x(i)).\nAnswer: 108*i + 70269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 - 24*j\/7 - 170\/7.\nAnswer: 2*(j - 17)*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - 0*(-4)\/(-8). Let k(a) = -a**2 - 3*a + 3. Calculate k(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61, -0.08, 2?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 g when four letters picked without replacement from {g: 3, l: 1, p: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 12\/(-2) + 47.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 31*z**2 + 23*z + 370. Let a be x(-14). Let r = a + 15577. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(21)\/sqrt(252))*4 - -6*6*sqrt(18)\/sqrt(6).\nAnswer: 118*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49982 and 54538?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 + 40*o**2 - 54*o - 3. What is f(7)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61265\/13 < 4712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11 - 21*m**2 + 14 - 3. Let o(f) = -7*f**2. Give d(o(a)).\nAnswer: -1029*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001606638 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-3 - (-3 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16 and 71\/94576.\nAnswer: 94576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3676 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 413 and 587581.\nAnswer: 4113067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12 + (-4)\/48*538. Let w(d) = -243*d - 45. Let r = 128 - 130. Let b(z) = 11*z + 2. What is r*w(a) + y*b(a)?\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = m - 38 + 28 + 18, -4*p + 9 = 5*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2336 and 25112.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let r be (-9)\/((-225)\/40) + (-4)\/(-10). Let h be f(r). Factor -y - h*y - 10 - 10*y**2 - 20*y.\nAnswer: -5*(y + 2)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182861 divided by 5473.\nAnswer: -182861\/5473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -49.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/58 not equal to -697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 386419909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 12. Let g(j) = j**2 - 5*j + 10. Is 8 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/(1\/9). Suppose x - 4*w - 9 = 0, -4*x - 5*w + 54 = -r*w. Suppose -5*l + x + 27 = 0. What is the greatest common divisor of 32 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 7*w + 8. Let j(t) = -t**2 + 7*t + 7. Let k(h) = -4*j(h) + 5*n(h). Calculate k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 2, r: 1, f: 2, v: 2, c: 3}. What is prob of picking 1 r, 1 g, and 1 c?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o = 40*o - 8. Find the third derivative of -24*h**5 + 7*h**2 - 23*h**o + 8*h**2 + 7*h**2 wrt h.\nAnswer: -1440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/5 - 26*w**2\/5 - 8*w\/5 + 104\/5 = 0. What is w?\nAnswer: -2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/(w\/w**(-5))*(w**0)**18*w**(-6)\/w**(-4\/5)*(w**0)**(4\/9) assuming w is positive.\nAnswer: w**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -57 - -52 - 1*-7. Let c be (-3 - -1) + 17\/4. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 11. Let n(b) = b + 12. Let h(o) = -3*n(o) + 4*t(o). Let c = -192 + 199. What is the tens digit of h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/18)\/((-4)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:57 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42.4 * 0.14\nAnswer: -5.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 5, m: 1, q: 5}. Give prob of sequence qg.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4260742545 and -37.\nAnswer: 4260742508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-25*t**2 + 20 - 20 + (0*t**2 + 0*t**2 - t**2)*(3 + 0 + 4)) to the form g*t + s + x*t**2 and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 425?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -158, -78, 1\/8, 0, -1, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232796, 232883, 232984, 233105, 233252, 233431, 233648?\nAnswer: 233909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxnxpnngxnf. What is prob of sequence fg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*r - 13 = -2*q, -2*r - 3*q + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*t - 20 - 230 = 0, -3*q - t = -725. Suppose -19 + 61 = v + 5*o, 4*o + q = 4*v. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 130.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (24\/(-2))\/4. Let j be y\/(-2) + 5\/10. Let k = 3 - 2. Which is the nearest to j? (a) 0.5 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37801 and 13699?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*u**2 + 262*u - 107*u**2 - 132*u - 130*u in the form j*u**2 + m*u + i and give j.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -0.04 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/((-5)\/(-35)). Suppose -s + 109 = 5*j + 27, -5*j = o*s - 84. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d + 10. Let h be 6\/18 + (-2)\/6. What is t(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 151, 189, 245, 325, 435, 581?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from waabwvvwwv.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, 3, -1 in ascending order.\nAnswer: -9, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 + 285*z + 2970 = 0. Calculate z.\nAnswer: -9, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1972*a**2 + 203*a - 203. Let f(r) = -29*r**2 + 3*r - 3. Determine -203*f(o) + 3*m(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 16. Let g be 18\/21*q\/5. Factor 2\/5*y**2 + 4\/5 - g*y.\nAnswer: 2*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f + 2. Let p = -6 - -13. Let u(g) = -p - 7 - 41*g + 4 - 1 - g**2. Let m(d) = -11*c(d) - 2*u(d). What is m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -67*h - 139. Is 4 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4aa9130 (base 11) in base 6?\nAnswer: 513444425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:22 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19458 is divided by 65.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:59 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 1310847702.96?\nAnswer: 1310847707.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -6\/419, 1, -3, 1\/4?\nAnswer: -6\/419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123213 (base 6) in base 7?\nAnswer: -44232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/120 - 2*m. Factor a(x).\nAnswer: x**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 272608664*q. Let n(p) = 5*p. Calculate i(n(l)).\nAnswer: 1363043320*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.729 minus -2085?\nAnswer: 2084.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256\/4104*(-12)\/14?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14964 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.9 - -0.05324.\nAnswer: 11.95324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqhiqtm. Give prob of sequence ht.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -14 - (-28 + 23 + -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/a**(-2\/5))\/a))**(-1\/54)*a**3*a*(a**4\/a)\/a*a assuming a is positive.\nAnswer: a**(629\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*n + 11 - 1, 4*h - 16 = 4*n. Suppose 3*o - 4*o + 157 = h*z, 5*o = 4*z + 823. Suppose -2*d + 27 = -o. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/12 + h**3 + h**2. Let x be m(-3). Let v = -3 - -5. What is the second smallest value in v, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1774 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 1. Suppose 10*f = 9*f + 1. Let d be j(f). Suppose -4*b + 44 = s, -2*s - 66 = -d*b - 10. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18793001*v**5 - 43748812*v**2 wrt v?\nAnswer: 1127580060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3765366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-184)\/23)\/((-3)\/((-3)\/2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -604010, -222.\nAnswer: -604010, -222, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n. Let t(j) = 7*j + 1. Let y(r) = -5*l(r) + 2*t(r). What is y(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710.123 to the nearest integer.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77127 and 32853?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**5 + 415*y - 7*y**3 - 3 + 5*y**2 + 3 - 404*y wrt y?\nAnswer: -180*y**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47653, -95303, -142953, -190603, -238253?\nAnswer: -285903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34770078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, 0.5, 12, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 5, n: 8}. Give prob of sequence mmum.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37844665.01 rounded to the nearest one hundred thousand?\nAnswer: 37800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.017 * -17624.\nAnswer: -299.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2. Let a be -2*(-5)\/(20\/18). Suppose 3*x = 3*v + 5*x - 63, -5*x - 63 = -3*v. Let b(g) = 38 + a*g - v - 17. What is i(b(f))?\nAnswer: 243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*p - 90 = -o, -4*o + 5*p + 85 = 0. What is the remainder when 74 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/8*((-80)\/(-15) - 0). Solve -2*q + 5*q = -3*o - v, 2*o - 4*q = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 197*m + 755029. Determine r(-776).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((6\/4)\/((-81)\/(-108)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 + 306 - 12617\/385.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 184 (c) 3\/28 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iugguiiitiiitjijiigj. Give prob of sequence ujg.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.62 - 3.62. Which is the smallest value? (a) j (b) -5 (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 104*l + 107. Let u = -133 - -140. Let g(w) = -13*w**2 - 313*w - 321. Let s(q) = u*i(q) + 2*g(q). What is the derivative of s(d) wrt d?\nAnswer: 4*d + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 3979 - 4071 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (3 - 1) - -78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37737 + 53190. What are the prime factors of r?\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293404?\nAnswer: 2, 73351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 bigger than 598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 811314.65 and 8?\nAnswer: 811306.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 18*n**2 + 9*n + 4. What is v(10)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d - 3. Let c be a(-7). Suppose 2*q - c*q + 66 = 0. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 3 (b) -4 (c) -0.04 (d) 0 (e) 0.084 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*v + 1323 = -122*v. Does 49 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 75 + ((-80)\/(-45))\/(6\/27).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (2 - 11 - 56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49374354 is divided by 49374344.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/4)\/((-2)\/4). Let o(d) = -d**3 + 6*d**2 + 1. Let h be o(6). Solve -s*g = 4*x - 6, 0 + h = g + x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*16)\/(((-154)\/1309)\/(3\/17)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2430929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20200001 (base 3) to base 9.\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (5 + -6 + -11)) + -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 1, h: 11}. Give prob of picking 1 c and 2 h.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 1)*(0*i**3 + i**4 + 0*i**3) + (206*i - 243 + 121 + 123)*(4 - i - 4)*(-3*i - i**2 + 3*i) as d*i**2 + o*i**4 + t*i**3 + p + j*i and give o.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**3 + 2\/3*q**4 + 0 + 0*q + 2\/9*q**2 - 2\/9*q**5.\nAnswer: -2*q**2*(q - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 440 - 658 = 0. List the prime factors of y.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 2, -4, -10, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/(-574))\/((-35)\/294).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 6*v + 37. Suppose 6*q = -5*w + q + 30, 2*w - 2*q = 24. Let f be z(w). Solve 0 = 2*u + d - f, -32 = -3*u - u - 5*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03619 - -41.03619. Put 2\/13, 2, s in decreasing order.\nAnswer: s, 2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 13 = 14*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157557 - 69760. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1317.\nAnswer: 2\/1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 79680*s + 478103. Determine k(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/24 + 7*p**4\/16 + p**3\/2 + 32. Suppose q(s) = 0. What is s?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.3228261268 + 0.58\nAnswer: -4.7428261268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 2. Let j be l\/3 + -1 + 1. Suppose 2*d - j = -y - 7, -d = -2*y + 15. Solve 9 = -2*s - y*n - 1, -2*s = -4*n - 26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x + 1. Let j(c) = c**3 - 11*c**2 + 4*c + 8. Let h(o) = -j(o) + 6*t(o). Let r be h(5). Solve 0 = -5*f + i - 25, 0 = f + 2*i + 2 - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - -29. Let b = o + -68. Suppose b*y = 6*y - 1436. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1403793933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101020 (base 3) in base 6?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1894*s**3 + 14*s**3 - 53 + 54 as j*s**2 + h*s + d + l*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 1. Let d(n) = -6*n - 4. Calculate d(t(h)).\nAnswer: -30*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 807 + -689. Which is the third biggest value? (a) 0 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4752873, -4752968, -4753063, -4753158?\n\"Answer: -95*m - 4752778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 - -212?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 13*p = -5. Let r(g) = 24*g - 40. Let w be r(p). What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2762?\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/5 in 51090, 0.5, 0.4, -7\/10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 2*x - 5*x)*(44*x**2 - 8*x**2 - 22*x**2) to the form i + v*x + g*x**2 + j*x**3 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*p**3*y + b**3*p + b**2*p**3*y + 4*b*p**3 + b*p**2*y - 18*b*p*y - 2*b*p wrt p?\nAnswer: 6*b**3*y + 6*b**2*y + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-53.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*c + 5, 6 = 3*v + c - 5. Suppose d - 3 = -1. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*h**4 - 13*h**3 + 18276*h**2 + 378932935 wrt h?\nAnswer: 144*h**3 - 39*h**2 + 36552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -546 - -441. Let b = c + 775. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2\/7)\/z*z))\/(z**(-11)\/z))\/(z\/(z\/(z*z**(1\/7))*z))**(-4\/27) assuming z is positive.\nAnswer: z**(2515\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (5 - (139 + -1)). Let a = c + 395. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37149 and 21199?\nAnswer: 27155919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 290, 288, 286?\n\"Answer: -2*p + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/6 - (4 + 1). Let t be (2\/(-4))\/(d\/(-18)). Find the common denominator of 7\/(-7) + (-17)\/t and -23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 3*p - 90 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -167, -2, 2\/7, -7\/2 in descending order.\nAnswer: 2\/7, -2, -7\/2, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:49 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 103. What is the common denominator of (((-30)\/(-25))\/(m\/(-185)))\/(-22) and 47\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 27*i**2 + 17*i + 26. Give v(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/70)\/(-4) - (-4)\/14.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/19))**(-35\/3)\/(u\/u**(1\/3)*(u\/u**(12\/7))\/u) assuming u is positive.\nAnswer: u**(-1052\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**8\/840 - r**7\/75 - 19*r**6\/300 - r**5\/6 - 4*r**4\/15 - 4*r**3\/15 - 2*r**2 + 4*r. Suppose a(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 50*j - 161. Does 46 divide a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.9 + 2.9. Let a = -23 - c. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -326, 0.4, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a514 + 4?\nAnswer: -a510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -507773*c - 3554411. What is v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*g + 29*g + 2 - 45*g)*(-3*g**2 + g**2 + 0*g**2) to the form q*g**2 + d*g**3 + p + b*g and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 212?\nAnswer: -5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {y: 4, q: 6, k: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*s**2*u**2 + 2*h**2*s*u + 8*h*p*s*u - 2*h*s**2 + p*s**2*u**2 - 2*s**2*u - 3*u wrt u?\nAnswer: 4*h**2*s**2 + 2*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 2797550?\nAnswer: 103509350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 682.0156985 + -657.48248. Let j = o + -0.5332097. Let r = -24 + j. What is r rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 93. Let w = -1.25 + 0.85. Which is the second biggest value? (a) w (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 86 + 2*f + 298.\nAnswer: 2*f + 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35264 - 51152281.\nAnswer: -51117017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 2 - -12 - 30) + -17 + 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207.4 + 228. Let x = k - -2.4. Let p = 22.99999978 - x. Round p to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-26 - (-2 + -13)) - 5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3)*-4 - sqrt(36)\/sqrt(192).\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-9\/4)*q*q**(1\/10)*(q\/q**(-2\/37)*q)**(-11\/3) assuming q is positive.\nAnswer: q**(-7063\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477681?\nAnswer: 23, 41, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 3*a + 1. Let s be t(5). Let n(b) = b**3 + 9*b**2 - 2*b - 13. Let k be n(-9). Suppose m = -k + s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*l + 903*l + 459*l - 62*l - 124*l - 136*l.\nAnswer: 1417*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -166 + 154 - ((-2 - 24) + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12190 divided by -23?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -23. Are -0.1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 64 = 2*y, -2*y - 33 = -3*v + 13. Solve -v = -3*r - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by -79829.\nAnswer: 95\/79829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 12:08 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 1 - (-38 - -46).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 369228.4 to the nearest 1000.\nAnswer: 369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.9. Sort -5, h, 2 in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -4\/7 (c) 4.2 (d) -1\/2069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278473\/2 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160057 to the power of 1\/2, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39010*q + 78009*q - 38804*q.\nAnswer: 195*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3457*p - 49815 + 49815 to the form w + v*p and give v.\nAnswer: -3457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + y + 4. Let t(j) = 4*j**2 - j - 5. Give 3*m(k) + 2*t(k).\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-54))\/((-2)\/8) + 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 1, f: 1, z: 1, s: 1, j: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*s + 12, s - 3*y = -14262 + 7129 + 7124 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-321)\/(-6) + (-3)\/6. Suppose 3*w - 79 = d. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by ((-1)\/(-3))\/(10\/480).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65591?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-55) - (-27)\/55.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:38 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22823 is divided by 1158.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in -2\/5, -1, 1\/18, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14130 + 212?\nAnswer: -13413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3518.841 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 52560096 divided by -3285006\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s**2 - s - 7. Determine d(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678.48 rounded to the nearest 10?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 533*w**5 - 32*w**4 - w**3 - 104449*w**2 + 4 wrt w?\nAnswer: 31980*w**2 - 768*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8.1. Let b = 11.94 + -12. Let a = b + 3.06. Sort a, g, 1\/4 in decreasing order.\nAnswer: a, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*-1*-5 + sqrt(153) - sqrt(153))\/((sqrt(108)\/sqrt(3))\/sqrt(4)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 0*s**2 + (2*s - 2*s + s)*(-3 - s + 3))*(-2 + 4*s**3 + 2) - 2*s + 2*s - 2*s**5.\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -1 + 56\/7. Suppose 19 = 4*z - a*f + 2*f, -21 = -z + 4*f. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9708 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344695 (base 11) to base 2.\nAnswer: -10000101110000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2547*d**3 + 7875*d**3 - 2773*d**3 - 2553*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:31 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24786 or 1?\nAnswer: -24786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1372*g**5\/5 + 501*g**3 + 1361. What is the third derivative of d(m) wrt m?\nAnswer: 32928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 23*b**5\/20 + 145*b**2\/2 + b - 1. Find the first derivative of o(m) wrt m.\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8)\/(q\/((q**(-2\/7)\/q*q)\/q*q)))**(1\/9) assuming q is positive.\nAnswer: q**(-17\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 1:17 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06358202 and -0.3.\nAnswer: -0.36358202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 2*p + p - 4*p - 2*p**2.\nAnswer: -2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*w + 18 - 6, 4 = i - 2*w. Let p(x) = 8*x + 12. Let m be p(i). Let b = 22 + m. Solve 5*n - b*u = 0, 21 = 3*n + 2*u + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 227.28 - 222. Let n = -6.72 + 7. Let f = r - n. Which is the second biggest value? (a) 2\/5 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -37. Let a be (-4 + d)*(-2)\/(-4). Put a, -4, 2 in decreasing order.\nAnswer: 2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 = 554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 19*d**2\/6 + 32*d\/3 - 22\/3.\nAnswer: -(d - 2)*(d - 1)*(d + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 477082 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5206 - -15435. Let a = f + -5332. Let w = 8003 + a. Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 + 7\/15*f**6 + 0*f + 1\/4*f**5 + 0*f**4 - 43*f**2 + 0*f**3. Find the third derivative of l(t) wrt t.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*y + 77*y - 3925 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, -14, -47, -80?\n\"Answer: -33*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 46 = -m, n + 13 = -2*m. Let p be (-2 + -1)\/(n\/(-2)). Let l be 2\/15 - (10 - (-20834)\/(-2145)). What is the nearest to -2\/7 in p, 1\/5, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68567089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*21 - (-451 - -504).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430969 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: What are the prime factors of 119186?\nAnswer: 2, 23, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 0.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*r**4\/2 + 207*r**3 - 2754*r**2 - 2255*r + 9075\/2 = 0.\nAnswer: -55\/23, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.0209\nAnswer: 0.001254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = -2*y, 5*q - 16 = 3*y - y. Suppose 0 = q*k + k - 9. Factor 0*p + 0*p**2 + 0 + 2\/3*p**k.\nAnswer: 2*p**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(3*2\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 817*o - 370*o**3 + 815*o + 0 + 2*o**3 + 0 + (0*o - 3*o + o)*(o**2 - 2*o**2 + 2*o**2) - 2*o**3 + 4*o**3 - 3*o**3 + o**2 - o**2 + 2*o**3.\nAnswer: -369*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 147.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3 - (-121 + -2). Let u = 229 - p. Suppose 5*y = q + 210, -3*y + 7*q = 3*q - u. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = -17. Let b(u) = 3*u**2 - 5. Let t(w) = 2*w**2 - 3. Calculate z*t(x) + 3*b(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 11, p: 1, j: 2}. Give prob of picking 1 p, 1 j, and 1 w.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/11 and -6\/203.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44232302 (base 5) in base 14?\nAnswer: -9da56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p**2 + p + 6. Let w be g(3). What is the units digit of (366\/8)\/(w\/(-40) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4191 and 284088332?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6073 - -18217\/3. What is the third smallest value in -4, 0, n, 0.4, 2\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, 1 n, and 1 w when four letters picked without replacement from iireeiwepnepwr.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490786 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-166 - 1)\/(-3 + 6 - 4). Suppose -5*m = -5*b - 285, -3*m = b - w - 16. Let t be (-24)\/m - (-5149996)\/(-10). Round t to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 1. Let g be w(-1). Suppose -5 - 7 = -g*y. What is the remainder when (80\/6)\/(y\/9) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 51 = 4*u, 5*u + 3*f - 36 = 27. What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d3 - -1?\nAnswer: 5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -250, -0.03.\nAnswer: -250, -0.03, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8381 + 18432 = 3*v - a, -3*a - 26805 = -3*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/13050 + (-4)\/30. Sort -0.5, 4, u in increasing order.\nAnswer: -0.5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + c + 5 - 35, 0 = -4*x + 4*c. Suppose 0 = -3*s + q + 2*q + 63, -x*s = -3*q - 109. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*s**3 + 2038 - 52*s**2 - 13*s**3 - 2038 to the form u*s**3 + x + o*s + p*s**2 and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 20*c**2 + c - 19. Give s(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 7, i: 10}. What is prob of picking 2 b and 1 c?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssul. Give prob of picking 1 l and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-10)\/180*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 190*s. Let u(w) = -128*w**2. Give t(u(r)).\nAnswer: -24320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404487 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6298 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 898, 1792, 2924, 4420, 6406?\n\"Answer: 21*j**3 - 7*j**2 + 768*j + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -810841\/40 + 20269. Calculate the common denominator of (-97*(-2)\/(-340) - 362\/(-905))*2 and q.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let j be z + (2 - (3 - 2)). What is the closest to 0 in j, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*l**4 + 8*l + 84*l**2 - 43*l - 11*l + 97*l + 3*l**5 + 12 + 66*l**3.\nAnswer: 3*(l + 1)**4*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.08307 * 1824\nAnswer: 3799.51968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1460*u - 4*u**2 + 2*u**3 + 1460*u to the form q*u**3 + z*u**2 + a*u + c and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2409734856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70393676.\nAnswer: 2, 97, 419, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 + 3*f - 1 + 10*f**3 + 2*f**2. Let d be s(2). Suppose 10 - d = -3*n. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = -0*i. Let f(y) = -11*y - 4. Let u be f(i). Let c be (6\/u)\/((-3)\/(-4)). What is the closest to 0 in 1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 327089473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**14)\/l**(3\/17))**45 assuming l is positive.\nAnswer: l**(-10080\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + i - 3*i + 6*i - i + 3*i + 0*i - i + (-3 + 2 - 1)*(0*i + 2*i - 4*i) - i + 0*i - i)*(-52 + 52 + 9*i) + i**2 + i**2 + 0*i**2.\nAnswer: 74*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 187292*c + 1498352. Determine g(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/14 + 9\/(-21). Let q(z) = -8*z - 1. Determine q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(68))\/(2*sqrt(100)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23814 and 89019.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 7948*a**2 - 4920140*a - 973168196.\nAnswer: -4*(a + 493)**2*(a + 1001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -99, 4, 0.5, 55?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962232?\nAnswer: 2, 3, 40093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -114. Suppose -2*c + t = -u, -u = u - 2*c + 22. Is u less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/75)\/(8\/20). Sort -4, j, -2\/5 in ascending order.\nAnswer: -4, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/(-32) - 25\/(-20). Sort 5, m, -3, 1 in increasing order.\nAnswer: -3, m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43, -63, -89, -121, -159?\n\"Answer: -3*z**2 - 11*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*k + 44, 5*d = k - 0*d - 32. What is the third derivative of 21*h**5 - 10*h**4 + 13*h**4 - 3*h**4 - k*h**2 wrt h?\nAnswer: 1260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121 - -1010?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -61. What is the smallest value in i, -0.05, 0.3, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(49 - 50)*(1 + -13). Solve 0 = 5*s + h*x + 5, -2*s - 2 = -0*s + 4*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3978966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 24*n = -10*n - 155 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -341 - -340. What is the biggest value in 1, h, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/2*12*6\/108.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49, 9, 2?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1225958 divided by 612979.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39052 divided by -105\nAnswer: 39052\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134989?\nAnswer: 134989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1904 + 6?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 4. Let x = l - 0. Let i = -57\/184 - -10\/23. Sort i, x, 1 in descending order.\nAnswer: 1, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5393 != -5441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*l - 13, -2 = -2*k + 8. Suppose -l*c + 324 + 339 = 3*n, 0 = -c + n + 164. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/9 + 4*k**4 - 32*k**3\/3 + 92*k**2\/9 - 10*k\/3 = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = j + 131, 5*j + 45 = 5*d - 160. What is the tens digit of d + 3 + -6 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(57) - 1*sqrt(5700))\/(sqrt(75) - sqrt(75)*-1))**2 + 3 + -5.\nAnswer: 1339\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 4806 + 4010. Calculate the greatest common divisor of 116 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-18\/11)*j)\/j)\/((j**(-1\/40)*j)\/j)*j**6\/j**(-23))**(9\/2) assuming j is positive.\nAnswer: j**(108459\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 + -5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1703533 = -5*l, 9 = 2*r + r. Suppose -8 = -3*v - v, 0 = 4*f + 5*v - l. Suppose -2*t = -f - 154826. What is t rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1, -3, 1\/2.\nAnswer: -3, 1\/2, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 - 126. Suppose 3*s - b = -0*s. Does 26 divide (-9)\/18 - s\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*k**2 - k**4 - 21*k**3 + 23*k**3 - 297*k**2 + 13 + 60*k + 0*k - 59*k to the form i*k**3 + f*k + t*k**2 + q + p*k**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*u - 3*u. Let l = -7 + u. Is 19 a factor of ((-396)\/l)\/(6\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = -32*z, 3*w - z = 15. What is the nearest to -1\/3 in -2, -3, w, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 c when four letters picked without replacement from {h: 1, k: 5, p: 1, t: 1, c: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27126 + -27076. Solve -35 + z = -15*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.0061 (c) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 4 + 2*m + 3*m**2 - m**4 - 2*m**4 in the form l*m**2 + t*m**3 + d*m + q + v*m**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x - x. Let p(q) = -q**3 + q**2 - q + 1. Let j be p(1). Let t(f) = j*f - x*f + f. Let w(i) = -i**2. Give t(w(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4365 and 1966869?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + (-312)\/(-30). Let v = 3\/20 - r. What is the common denominator of v and -91\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(60)\/sqrt(4))*5)\/(1*sqrt(300) - sqrt(300) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 19, 21, 25, 31?\n\"Answer: d**2 - 3*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.67 + 0.33. Let u = r + -7.3. Let p(a) = -a**3 - 7*a**2 - 8*a - 9. Let m be p(-6). What is the second biggest value in m, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjm when three letters picked without replacement from majaajmaamjjaa?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.5 and 11470876226.\nAnswer: 11470876223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**3 - 16 + 16 + (56 - 12*x - 56)*(2*x**2 + 2*x**2 + 0*x**2).\nAnswer: -55*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 2 + 7 + x**2 + x**2 to the form s*x**2 + a + j*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612992333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/20 + d**4\/6 - d**3\/3 + 129*d**2\/2 + 35*d. Does 43 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42439 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 552 = -30*v. Calculate the highest common factor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r - 3*r)*(3*r**2 - 3*r + 3*r)*(62*r + 1 + 79*r - 49*r).\nAnswer: -552*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-764)\/(-12). Let b = -44 + u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -0.44037\nAnswer: -0.616518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 - 6 = 0. Suppose -3*u + 0*c - 2 = 2*c, -18 = -3*u + 3*c. Let b = 2 + u. What is the remainder when b is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:51 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 2*o**3 + 3*o**3 + (-2*o + 2 - 2)*(0*o**2 + 4*o**2 - 3*o**2) + 30*o**3 - 77*o**3 - 68*o**3.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 561.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 16327 + 4182. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 + 2*n**2 + 34*n - 76. Is 58 a factor of k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/54 - (-4)\/(-6). Suppose 2*m + 1748 = 6*m - 5*a, 2218 = 5*m + 2*a. Let x = 3970\/9 - m. What is the closest to -1 in x, 0.4, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7))\/((-480)\/(-420)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u. Let h(c) be the third derivative of -7*c**5\/60 + 129*c**2. Calculate i(h(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -164623 and -164628 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 634 = u + i, -3*u - 2*i = 3*i - 1908. Let s be 3\/2 - u\/2. Let l = s - -517. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822\/5 + 2471\/15. Let y(c) be the third derivative of j*c**4 - 4\/3*c**3 + 0*c + 20*c**2 + 1\/10*c**5 + 0. Let y(w) = 0. Calculate w.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -279. Let z = -151.999881 - l. Round z to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -10, 3*w + 3*n - 534 = 249. Calculate the greatest common divisor of 208 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2217783 and -0.4?\nAnswer: 887113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39852.3 and 476.3.\nAnswer: 40328.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 3336084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -500, -1687, -4006, -7835, -13552?\n\"Answer: -63*m**3 + m**2 + 5*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*w**5 + 270*w**2?\nAnswer: -10500*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/10)\/((-112)\/(-60) - 2). Which is the closest to 3? (a) 2 (b) -0.2 (c) j (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from ohhhrppprhpphorrr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 320*v**3 - 6*v**2 + 7654 wrt v?\nAnswer: 960*v**2 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*4\/(28\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -167\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-4) + (-1)\/(-2). Let p = 32 + -29. Suppose c = -4, -p*m - 4*c = 14 - 40. What is the greatest common factor of m and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00388871652 rounded to six dps?\nAnswer: 0.003889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 426 and 5?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 8095 = 2469. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1062*i**2*s*z + 2*i**2*s - 4157*i**2*z - i + 8*s*z + 2*z wrt s.\nAnswer: -1062*i**2*z + 2*i**2 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167678 and 28217.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/36 (b) -1.7 (c) 3 (d) 8.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000756905 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 - -279. Let p = -0.1 + 0.2. What is the nearest to -1\/2 in p, 1, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1341 and 32\/1341.\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-774)\/(-1290)*(-15)\/(-57)*-2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 8*p - 20. Suppose 5*u + 5*s + 40 = 0, 5*u - 6*s + 24 = -3*s. Let i be t(u). Suppose -w + 3*l + 377 = i*w, -w + 71 = -5*l. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*b + 8, 3*b = 4*q + 1 - 17. Solve -110*x + q = -108*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 12923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -1.21739157751.\nAnswer: 47.78260842249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*n + 3*n + 79, -3*n + 71 = 2*u. Calculate the remainder when u is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17008001 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {z: 3, s: 2, b: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 divided by -285?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20113 is divided by 5021.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -510 and 1514772795358.\nAnswer: 1514772794848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1728*h**2 + 0 + 1 + 1491*h**2.\nAnswer: 3219*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Let s(u) be the third derivative of -11*u**4\/24 + 2*u**3\/3 + u**2 + 1512*u - 2. Give s(i).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2841578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {u: 14, o: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 264. Let a(k) be the second derivative of k**3\/3 - 1401*k. Calculate a(v(d)).\nAnswer: -2*d**2 + 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -72, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4528*x**3 + 19826*x**3 + 10150*x**3.\nAnswer: 25448*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1688, -3389, -5090, -6791, -8492, -10193?\n\"Answer: -1701*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let x(h) = 1. What is p(r) + 2*x(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*z**5 - 8*z**5 + 16*z**5 + (-2*z + 3*z + 0*z)*(z**3 - z**3 + 2*z**4) + z**5 + 3*z**3 - 3*z**3.\nAnswer: 29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**3*o*u - 60*h**3*u + 19*h**2*o*u**2 + 2*u**2 wrt o?\nAnswer: 3*h**3*u + 19*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 - 3*n + 3. Let z(u) = u**2 + 1. Let t(l) = 6*l**2 - 9*l - 22. Let q(k) = t(k) - 5*z(k). Let v be q(11). Is m(v) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from mrdrrmmkmmmrrmdd.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 230316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 937.7367 litres?\nAnswer: 937736.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14*w = -17*w + 10, 5*w - 6 = -u. Let r(g) = -g**2 + 12*g - 3. Let b(n) = n**2 - 12*n + 4. Give u*r(k) - 3*b(k).\nAnswer: k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -99.94.\nAnswer: -99.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 5, 2 in decreasing order.\nAnswer: 39, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 19686.\nAnswer: 19686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039721138 rounded to seven decimal places?\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(1\/2))*r**1)\/(r**3\/(r**(-3\/2)\/r)))\/((r**(1\/3)*r**(2\/5))\/(r**(-4)*r**(-1\/5))) assuming r is positive.\nAnswer: r**(-134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 497 (base 15) to base 3\nAnswer: 1102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizi when four letters picked without replacement from {z: 3, l: 4, i: 9}.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 - -13.2798.\nAnswer: -385.7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) + sqrt(90)*-2 - sqrt(90) - sqrt(90)))\/sqrt(6))\/(sqrt(192) - (sqrt(192) - (sqrt(192)*-2 - sqrt(192)))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/54, -2\/7, -1\/2, -1?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 != 1799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -63. Let r be (2\/(h\/(-6)))\/(-1). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -36. Suppose -2 - b = -q. Let t be (-1 + 3)\/(9\/q). Solve t*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319825453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 2*w + 30. Is i(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 94. Suppose 2*q - 3*q = -4*m - 6, -5*m = 5. Let p be (-1)\/(q + d\/20). What is the greatest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 6 - 3*l + 0 - 4*l + l**2. What is u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27848, -27847, -27846, -27845, -27844?\n\"Answer: y - 27849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 6 + 78*i)*(-2*i + 2*i - 2*i**3)*(0*i + 3*i - i + 1).\nAnswer: -312*i**5 - 164*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4783.28 litres in millilitres?\nAnswer: 4783280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469501?\nAnswer: 3, 91463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - (3 - (2 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*l = 14093 - 9621 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 79 = 5*r, -22 = -0*r - 2*r + 2*j. Let h = r + -10. Let m(z) = 4*z**2 - z + 7. Let v(a) = 1 + 0 - 2 - a**2. Calculate h*v(q) + m(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 0.606?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -639 by 1.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -49 + 0 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(98))*5 - (-1 + (-2 + sqrt(98) - sqrt(98))))**2.\nAnswer: -490*sqrt(2) + 2495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 74*n**2 + 625*n**2 + 9 in the form i*n + a*n**2 + s and give a.\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -98.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 60660.\nAnswer: 60660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*y + 23, 11*h - 9*h + 3*y - 19 = 0. Solve -26 + h = -6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 13*p**2 - 14*p + 7. Let m be o(11). Suppose 5*n + 4*t = -391, -n - t - m = 4*t. Is n at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 24745?\nAnswer: 222705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61342?\nAnswer: 2, 30671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + u + 83 = 0, -5*u - 321 = -5*p - 126. Let f = 26 - p. Is 639*-3*2\/f 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 703305?\nAnswer: 3, 5, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -123. Solve -25 = 5*u, -6*q = -q + 5*u + l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177 and 2385.8.\nAnswer: -422286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -368, -504, -654, -812, -972, -1128?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -22. Let t be (-354)\/b + 1\/(-3). Let q be (-2)\/8 + t\/60. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 15, -2\/11, 2, -1056?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/53? (a) -1\/2 (b) 0.06 (c) -1\/5 (d) 2\/15 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by -90409.\nAnswer: 120\/90409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -1. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, v: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 2*j - 2. Let z be u(-2). Let k = -6 - -10. Which is the biggest value? (a) z (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 44*t - 433. Determine i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:45 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905 = 17*m - 5053. What is the remainder when m is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 4. Let s be -2*(d - 3)*2. Find the second derivative of 2*o - 11*o**4 + 11*o**s - 2*o**5 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5242515 to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*-2)\/(12\/(-8)). Let k(a) = -a**3 + 6*a**2 + 2*a - 8. Let b be k(6). What is the second derivative of 2*x**c - 2*x**b - x**4 + x wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52146*u**4 + 52146*u**4 + 640*u**5)*(1 + 2 + 1).\nAnswer: 2560*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -770229, 1\/5, 2\/13 in decreasing order.\nAnswer: 1\/5, 2\/13, -770229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 1. Calculate the remainder when s(-6) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 250*b + 7551. Calculate v(-74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872348498.\nAnswer: 2, 7, 62310607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, 2\/11, 31, -8\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.706153 milligrams?\nAnswer: 2706153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j + 2. Let u be v(-6). Calculate the common denominator of u\/4 + 56\/5 and 3\/(-4)*20 + 943\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/378*6*(-12)\/8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3198635 - -203.6982365. Let r = x - 204. What is r rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -7 - 1)\/((-2)\/6). Put -12, k, 5, 3 in descending order.\nAnswer: 5, 3, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.1. Let t = -1080.32 + 1079.91. Which is the nearest to t? (a) 0.4 (b) f (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23491781.\nAnswer: 37, 179, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let x(k) = 0*k**2 + 2*k**2 - k**2 - 6*k**2. Determine x(o(u)).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -718ac?\nAnswer: -718ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(128) - sqrt(128)) + sqrt(128).\nAnswer: -4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t + 1 + 11*t**2 + 0 + 2*t**3 + 15*t**3 - 4*t**3 - 36*t - 2*t**4 as l*t**4 + x*t + o + r*t**3 + g*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert b43 (base 13) to base 15.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071899.\nAnswer: 3, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 - 2*b + 9. Let r be k(-5). Let l(n) = n**3 + 7*n**2 + n - 8. Give l(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395571 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(1*sqrt(72)) - sqrt(30)\/(sqrt(72)\/(sqrt(12)*-1)))**2*-6*-2.\nAnswer: 320\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1164 divide 164519760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (23 + 25)) + 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1408*b. Let p(f) be the third derivative of f**4\/8 - 10*f**2 + 109*f - 2. Determine n(p(v)).\nAnswer: 4224*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/560 and 163\/504?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16*o**2 - 4*o. Suppose q - 11*q - 50 = 0. Let t(m) = 11*m**2 + 3*m. Let a be (28\/8)\/((-2)\/4). What is a*t(f) + q*d(f)?\nAnswer: 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -61*d**3 - 137*d**2. Let a(m) = 303*m**3 + 685*m**2. Let r(c) = -4*a(c) - 22*b(c). What is the third derivative of r(j) wrt j?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*n**2 - 6 + 6.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49687173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97952434 to the nearest integer?\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2120 (b) -2\/5 (c) -0.1 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -495.187\nAnswer: -99.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-176)\/(-56))*42\/245)\/(9\/48).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(0 - 3\/2). Let v = 828 - 807. Suppose 7*n - v*n - 56 = 0. Sort s, n, 54.\nAnswer: n, s, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110772385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13916 and 283808?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*h**8*h*(h**(2\/5))**(-14))**(-1\/27) assuming h is positive.\nAnswer: h**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 659, 701, 747, 797, 851, 909, 971?\n\"Answer: 2*d**2 + 36*d + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*g**2 - 40*g**6 - 10*g**2 + 37*g**6 wrt g?\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 34.3.\nAnswer: 308.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21736157.\nAnswer: 21736157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-163)\/(-1141))\/(1\/14). Factor 1 + 77\/4*b**f + 9*b.\nAnswer: (7*b + 2)*(11*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3738 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 5*n**2 + 2*n**2 - 4*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 567?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -329. Let g be f + 6 - (5 + -1). Solve 0*v - 5*v = g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 + (-5120)\/(-14). Let g be (3\/6*s)\/1. Suppose g + 407 = 5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 27153846.\nAnswer: 108615384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 + 13*o**4\/12 + 5*o**3\/2 + 9*o**2 - 32*o + 31. Give d(14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/(z**7\/z))**31 assuming z is positive.\nAnswer: z**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -677, -930, -1133, -1292?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-70))\/(20\/(-14)). Determine k, given that -2\/5*k + h*k**2 - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162784, -325610, -488474, -651376, -814316, -977294?\nAnswer: -1140310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 145 (b) -1\/2 (c) -0.04 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 610841?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/72474 and 82\/79947?\nAnswer: 41092758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.14+3596.099\nAnswer: 3595.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -7 (c) -4.58 (d) 243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.047, 1, 3\/2, 23?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 44\/7, 0, 5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 32 - 32)*(6*h**2 - 8*h**2 + 8*h**2) + 2*h**3 + 0*h**3 - 4*h**3.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -64.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:39 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19651 - -39136. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -463, -1720, -4219, -8386, -14647, -23428, -35155?\nAnswer: -50254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1673583 and 6.\nAnswer: -1673577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -367441?\nAnswer: -367445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166274, -332525, -498776, -665027, -831278, -997529?\nAnswer: -1163780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 30\/(-4))\/(63\/36). Let g = -143 - -227. Suppose -2*a + g - 78 = 0. Is f > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 226*n + 4644 = 0. What is n?\nAnswer: -86, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/1375 + (7 - 525\/77))*1?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/4)\/(s\/(s**(-7)\/s)))\/(s*s**(2\/9)*s*s**(-15)) assuming s is positive.\nAnswer: s**(73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Let z(t) = t**2 - 10*t - 2. Let s(b) = 4*b + 3. Let w be s(-1). Let d(f) = -f - 1. Let c(v) = w*z(v) + 4*d(v). Calculate c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*x - 14*x + 91406 + 149874 = 0. Solve -1897 = -2*r - x for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - i = 4*i + 437, -v - i + 107 = 0. Calculate the greatest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1650 and 22.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from wuwqqmkmj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162742, 162741, 162740, 162739, 162738, 162737?\n\"Answer: -y + 162743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by ((-90)\/(-21))\/((-12)\/(-56))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 662764 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7253 - -14631. What are the prime factors of j?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*s + 7293 = 0, -5*g - 5*s - 333 + 12488 = 0. Suppose -8*q = 271 - g. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 2*x)*(306 + 68 - 157) + 1 + x - 2*x - 4.\nAnswer: 433*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5709 = -8079. Suppose 0 = -266*z + 272*z - d. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1901 = 2*o, 3*f + 838 = 3*o - 1064. Let s = -292 - f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24160206 (base 7) to base 5\nAnswer: 1022231444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201010010 (base 3) to base 7.\nAnswer: 55425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11854, 23713, 35564, 47407, 59242, 71069?\n\"Answer: -4*o**2 + 11871*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1504956 and 22665?\nAnswer: 7524780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.48353841427 - -0.78353781327. Let y = b - -67.7. Round y to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 0.3, 15, -520, 0.1?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-6*(-7)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 839, 1683, 2531, 3383?\n\"Answer: 2*n**2 + 838*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-33) - 6022\/(-154). Let u = d + -39. Let o = -1.2 - -1. What is the nearest to o in u, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 + g + 2. Let n be j(-2). Suppose 2*k = 5*k + 2*r - 4, 2*k = -n*r - 8. Suppose 5*h + 4 = 3*h. Sort k, -5, h.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94713 take away -0.0066?\nAnswer: -94712.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -189435*j**3*x**3 + 426*j**3*x + 2*j*x**4 + 1115*x**2 wrt x.\nAnswer: -1136610*j**3 + 48*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 3)\/(3178\/(-794) + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 27*w + 126 = 0. Let n be ((-337)\/(-3))\/((-4)\/(-36)). Let l = n - 7062\/7. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o**2 - 2*o**2 - 3*o**2 - 28*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, -78, -4 in descending order.\nAnswer: 24, 1, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125) + -1*sqrt(125) + sqrt(125) + sqrt(125))**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.68. Let c = q - 7.12. Let l = -7 - c. Is -4 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2806156 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 515?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19 - 18)*(-2 - -2). Let q(w) be the third derivative of -1\/4*w**4 + i*w + 0 - 2*w**2 + 2\/3*w**3. Differentiate q(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 0)*(-r - r + 4*r) - r**2 - 2*r**2 + 0*r**2 + (597 + 126*r - 597)*(-2*r + r + 1 + 3).\nAnswer: -133*r**2 + 504*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3558 < 365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(4\/3))\/(k*k**(-1\/2))*(k\/k**(1\/4))\/(k**(-7\/3)\/k))**(8\/5) assuming k is positive.\nAnswer: k**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -8. Let j = f - -6. Let d(c) = -2*c - 1. Let v be d(2). What is the closest to j in 4\/3, -1, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/10)\/(23 + 5825\/(-250)). Let p = 23\/32 + -3\/4. Which is the biggest value? (a) m (b) 1\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/16*16*45\/6570.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 5 + (14 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 8*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 168*m**2 - 19*m + 20. Let a be q(12). Let y be 1170*(a\/(-72) + 4\/(-18)). What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231665 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2079*u + 92. Let l(x) = 693*x + 29. Determine -16*l(j) + 5*w(j).\nAnswer: -693*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/8)*(-755)\/3020?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37422 divided by -1701?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 95508900*g - 456097498960500.\nAnswer: -5*(g + 9550890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42162545 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7049577 is divided by 3524783?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 + 5*x**2 + 14*x + 6. Let b(d) = 3*d**3 + 3*d**2 + 9*d + 4. What is 8*b(j) - 5*q(j)?\nAnswer: 4*j**3 - j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from fumufzufzmmmzmfmf?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8 + 2 - 2*h**2 + 2 + 0 - 3*h + 6*h. Let n(r) = -3*r**2 + 5*r - 7. Determine -4*n(i) + 7*q(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/((-27)\/(-24)) + -4. Suppose -4*a = -4*q + 12 - 16, 28 = 2*q + 4*a. Solve -p + q*p = t*y - 7, 3*y + 1 = -4*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 5*a**2 + 4*a**2 + a**2 + 1 + a**2 - 2 + (84*a + 133*a - 41*a)*(-6*a - 3 + 2*a + 2*a).\nAnswer: -348*a**2 - 528*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l**2 + 10*l + 8. Let w be j(11). Let z(n) = -2*n + 4. Determine z(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50289.\nAnswer: 3, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -491946488 divided by -344?\nAnswer: 1430077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - -2) - (5 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from {h: 3, m: 1, c: 8, g: 1, j: 5, f: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 3751.\nAnswer: 61\/3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, t: 1, d: 1, u: 1, b: 1}. Give prob of picking 1 d and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1048 and -1044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 6)\/((-2)\/(-14)). Let p = -5 + y. Solve -x - p = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379232, -758456, -1137680, -1516904?\nAnswer: -1896128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/36 + -2\/9. Which is the second biggest value? (a) 10\/9 (b) -0.1 (c) 0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-4 - (-2 - 0)). Which is bigger: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/370 and -36\/1589465.\nAnswer: 117620410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-7)*t*t**(1\/9)*t*t*t)**28 assuming t is positive.\nAnswer: t**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(1\/3). Suppose 0 = n + z*n + 6. Suppose -47*j + 288 = 71*j - 46*j. Which is the second smallest value? (a) n (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 5*x**6\/6 + 7*x**5 + 45*x**4\/2 + 110*x**3\/3 + 65*x**2\/2 + 15*x + 2. Factor j(p).\nAnswer: 5*(p + 1)**4*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 18\/35?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**3 - 4*s**2 + 4*s. Let j(k) = -83*k**2 + k**3 + 29*k**3 + 58*k**2 + 25*k. Give 4*j(t) - 25*w(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30. Suppose 4*c + 5*a - 152 = 3*a, s = -4*c + 3*a + 172. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14003 or 6822?\nAnswer: 6822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose -7 = -x*b + 8. Suppose 7*n - 3*n = 20. Sort n, -0.4, b.\nAnswer: -0.4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-273)\/28 + 6)\/((-2)\/3592). What are the prime factors of ((q\/5)\/(12\/8))\/2?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -133, -2\/13, -2, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.9202 and -182.\nAnswer: 1077.4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4466, 8358, 12250, 16142?\n\"Answer: 3892*b + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23317162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -54. Suppose 42 = 3*a + 3*y, -3*a - 2*y = -k*y - 30. Suppose 0 = -a*b + 2761 - 517. Is b a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 8, -11, -1, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**(1\/7)))\/o**(-2))**40)**(-2\/95) assuming o is positive.\nAnswer: o**(-128\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2412 and -25477960.\nAnswer: -25477959.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 - 0.57. What is the closest to 3\/2 in -3, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87667.\nAnswer: 29, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136904 + 199847. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/60 + 5*y**4\/24 + y**3 + 26*y**2. Factor c(b).\nAnswer: (b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.681, 3\/14, -3, 3 in descending order.\nAnswer: 3, 3\/14, -1.681, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**3 + 1. Let j(c) = -c**3 + c**2 + 1. Give 2*j(z) - x(z).\nAnswer: -11*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:00 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 5)*(-o + 0*o - o) + 5 + 2*o - o - 2*o to q + s*o and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.215614 decades?\nAnswer: 865.87368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4788098292 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1\/4*p**4 - 5\/2*p**2 + 4\/3*p**3 + 8 - 6*p. Does 14 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159689628 divided by 294.\nAnswer: 543162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1596 and 2716?\nAnswer: 154812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 - (-2 - -4). Let k(q) = 3*q**2 - 31*q + 87. Let t(m) = -7*m**2 + 62*m - 172. Let d(a) = -9*k(a) - 4*t(a). Let h be d(3). Solve w*g - 17 = -h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:35 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 divided by 6?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*f + 3 + 4, -3*y + 9 = f. Suppose -f*r - 4 - 2 = 0. Sort r, -3, -4 in decreasing order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 28. Suppose -y + h = y. Suppose -3*k + 11*x = 6*x - 29, -2*k + 2 = x. What is the remainder when y is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4 (c) 0.5 (d) -2925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00686294 plus 258?\nAnswer: 258.00686294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/72*-6)\/(4*(-7)\/504)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/28 and -209\/60480?\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let u = -1 + t. Let j = u + 2. Sort -0.4, -0.2, j in ascending order.\nAnswer: -0.4, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 689*n**2 - 2*n**3 - 686*n**2 + 14*n**3 to y + t*n**2 + b*n + k*n**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 28. Let x = 18 - g. Let u = -3 + x. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305350 by -152675.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -17. Suppose 183 = -10*y + a*y. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8177 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11 - 37*q - 44*q + 23. Let f be y(14). What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and 10743.\nAnswer: 483435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19931860 - -689769. Let j = x + -74721629. What is j rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 863 = -r, -2*j - 3*r + 564 = -293. What are the prime factors of j?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-1) - ((6 - 12) + 6 + -5). Let g(s) be the second derivative of 2\/15*s**3 + k*s + 1\/5*s**4 + 0 - 1\/25*s**5 - 6\/5*s**2. Factor g(f).\nAnswer: -4*(f - 3)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:41 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1947, -3715, -6653, -10755, -16015?\nAnswer: -22427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229843.\nAnswer: 19, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 59742060239\nAnswer: 59742060267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/70 - ((-20)\/28 - -1). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u + 1. Suppose 1 = -5*y - 5*f - 9, 0 = 5*y - 3*f + 50. Let a(q) = -q - 3. Let n = 89 + -87. Give n*a(b) + y*p(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/11 or 13\/44?\nAnswer: 13\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.307*520\nAnswer: 159.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3040947009 - -3041106427.9961. Let c = q + -159514. Let x = -95 - c. What is x rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - 9\/2. Let l be (-2)\/(-4) - (-10)\/4. What is the closest to m in l, -2\/5, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317990060 rounded to the nearest 100000?\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8.005441*-175\nAnswer: 1400.952175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4380050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3321360?\nAnswer: 2, 3, 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-15)*-6*(-3)\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 14*a**2 + 433*a + 65. Does 6 divide m(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 11*j**2 + 19*j + 3. Let a be i(6). Let r = -38 - -23. What is the remainder when (a\/r)\/(9\/(-45)) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963 + -1639. Let y = o + 692. Solve y - 14 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 3*j**2 + 7*j - 2. Let q be c(-5). Find the second derivative of 105*x - 29*x**3 - 18*x**3 - q*x**3 wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 54*v - 53*v + 14 + 17 + 17 - 59. Let g(r) = 39*r**2 + 1. What is f(g(o))?\nAnswer: 39*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36972 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 13) to base 7.\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340484?\nAnswer: 2, 85121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*j + 479*j = -30475 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(153) + 1) + -2))**2 + -5*(sqrt(153) + (-6*-2*sqrt(153))**2) + -2 + -5.\nAnswer: -48183 + 3345*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 320 = 4*m, k + 136 = -77*m - 23 - 74 + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:24 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/71149 and 9\/27365.\nAnswer: 355745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*n - 144, n + 3*n + 113 = -f. Suppose -4*k + 89 = 3*s - 6*k, -s = -3*k - 18. Let b = s + n. Solve b*q = -3*m + 11, -2*q = -2*m - 0*q + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixcxhhh. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -3. Let j = -5 + 10. Sort t, j, -2\/3 in descending order.\nAnswer: j, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 64454*g**3 - 1039932181*g**2 + 43591916004*g - 457416858276.\nAnswer: -(g - 32206)**2*(g - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4820 - -4819. Which is the fourth biggest value? (a) f (b) -7\/127 (c) -1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3.8. Let n = -3 + 6. Let y = q + n. Which is the biggest value? (a) -1 (b) y (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -3.969, -12.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736142924.\nAnswer: 2, 3, 144678577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 - d + 7. Determine g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 37*i - 38. Calculate o(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Solve y*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804.495498 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6915967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 5. Let b be d(2). Factor 3\/2*o - b*o**2 + 3\/2*o**3 + 0.\nAnswer: 3*o*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**2. Let m(o) = 29*o - 20. Let k(v) = -28*v + 25. Let a(c) = -4*k(c) - 5*m(c). Determine a(s(r)).\nAnswer: 396*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3372334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.239 weeks to milliseconds.\nAnswer: 532368547200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 0 + (-1080)\/(-530). Let s = k + -75\/583. Let u = -205\/413 + 4\/59. Which is the third smallest value? (a) s (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807153 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1454843 micrograms in grams?\nAnswer: 0.0000001454843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 1, 5, 11, 19?\n\"Answer: n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:19 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*r**3 - 73112*g**3*r**2 + 13*g**2*r**3 + 6*g**2*r - 497*g*r**3 - r**3 wrt r.\nAnswer: 12*g**3 + 78*g**2 - 2982*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 350753870, 350753869, 350753868, 350753867?\n\"Answer: -i + 350753871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/4 - o**3 + 4*o + 18. Let r be i(-2). Is 11 a factor of (-110)\/(-40)*(r + 52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 1944*u**2 + 3195*u + 13747414. What is i(-1942)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -11, 2\/15, -0.8, 0.18, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(11) - (sqrt(33)\/sqrt(3))**2).\nAnswer: -4*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2970\/(-21))\/((-4)\/(-28)). Let m be ((-2)\/(-2 + 4))\/((-22)\/o). Which is smaller: m or -43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3\/3 + l**2\/2 + l + 48. Let u(r) be the second derivative of -7*r**4\/12 - r**3 - 5*r**2\/2 - r. Give -5*n(c) - u(c).\nAnswer: 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.079016 - -0.059916. Let g = -0.0509 + j. Let x = g - -0.07. Put 1\/10, x, 0 in descending order.\nAnswer: 1\/10, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + t - 182 = -34*f, 5*f + 190 = -5*t. Which is smaller: 10 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297506496 divided by -75586?\nAnswer: -3936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*t**3 + 3*t - 240*t**3 - 2*t + 9*t**2 as o + s*t**3 + p*t + q*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/12 + r**3 + 7*r**2\/2 - r. Suppose 0 = -4*v - 10 - 10. What is x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44 + -36 + (-45)\/6. Suppose 0 = -4*p + 5 + 3. Suppose u + 3*o = -u + 12, p*u - o = -4. What is the closest to u in -4, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g = 46*g - 4. Suppose -5 = -l - g. Solve -l*k - 8 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 26.00000056. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3608 = 9*k. What is the remainder when k is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56ab (base 16) in base 10?\nAnswer: 22187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495.2 + 495.199996797. Round f to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251105\/11 less than or equal to 22829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 0.392, 3, 0 in decreasing order.\nAnswer: 3, 0.392, 0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/30 - q**2. Let b(n) be the first derivative of -2*n**2 - 16. Give b(v(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -22 + 1\/4*j**3 + 19\/4*j**2 - 35\/2*j = 0. Calculate j.\nAnswer: -22, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -53*k**5\/10 - 11*k**4\/12 + k**2 + 9*k + 14. What is the third derivative of s(h) wrt h?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2307040 (base 8) to base 16.\nAnswer: -98e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.35. Let t = -0.02 + x. Let h = -116 + 929\/8. What is the nearest to -1 in -2\/7, t, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83718835307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g**2 + 1016*g**2 + 38*g**2.\nAnswer: 980*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -31. Let q be 0*(36\/(-8) + v). Suppose -5*c + 40 = -q. Solve 0 = -4*n - 0 - c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 - 3)\/(-2*1\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.1, 0.39, -52 in descending order.\nAnswer: 3\/7, 0.39, 0.1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48949*d + 48954*d + k + 34 = 0, 4*d - 3*k = -31 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141048 and 581904?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2. Let y(t) = -7*t**2. Let m(r) = -7*p(r) - 6*y(r). Let q(s) = -2*s**2. What is m(q(w))?\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.44 + 0.4?\nAnswer: 32.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164364060 divided by 14.\nAnswer: -11740290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41033811 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7990531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 79367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/10)\/((-165)\/(-1100))*(-15)\/30\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + q**2 - 2*q + 4. Let g(a) = 4*a**3 - a**2 - a + 1. Let i be g(1). Let p(t) = -3 + 1 + 4*t**3 + 8 - i - t + t**2. Calculate -3*h(v) + 4*p(v).\nAnswer: v**3 + v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528 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: Is 57309383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/10 - -21\/5. Which is the third smallest value? (a) 0.4 (b) -0.01 (c) u (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9532794 plus 1?\nAnswer: 39.9532794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**3 - 3 + 19*j**3 + 3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 2*z + 1 + 28 + 29 + 22 in the form x + i*z and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 93, 5\/3, 1022.\nAnswer: -2\/5, 5\/3, 93, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 7*c + h, 0 = c + 4*h - 3. Let s be c - -16 - 2\/1. Suppose -4*o = 1 - s. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84637.\nAnswer: 7, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6798 by -2.\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 + 309. Suppose -4*z = -3*u + 102, 9*z + 165 = 5*u + 4*z. Calculate the least common multiple of u and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-5)\/(-4))*4. Let j = 16 + d. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3020 + 941 - 279)*(5 + 0 - 4)*(4 + 1 - 6)*(0*q + 3*q + 0*q).\nAnswer: -11046*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 985*x**7\/14 + x**4\/6 - 308*x**3\/3 + 1987*x. What is the third derivative of u(m) wrt m?\nAnswer: 177300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5636 - 2.5629004. What is q rounded to five dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 0*p**2 + 0*p**2)*(-3*p + 2*p + 3*p)*(-5 - 1 + 3) to l*p**2 + h + z*p**3 + j*p and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/4635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*b = -4*v + 6, -4*v - 14 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*i + 2*i - 36, -6 = 3*c. Let a be (1\/(-2))\/(i\/88). Determine h so that 9\/4*h**3 - 2*h + 1 - 3\/4*h**a = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 6 = 0. Suppose -s*y + 57 = 5*i, -2*y - 2*y + 10 = 2*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -22*b**5\/15 - 27538*b**4\/3 - 216168706*b**3\/15 - 457241174*b**2\/3 - 3924456272*b\/15 - 370856288\/3 = 0.\nAnswer: -3124, -95\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*n**2*x**4 - 9195*n**2 + 45*x wrt x.\nAnswer: 104*n**2*x**3 + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273 is divided by 476?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3842b95 (base 12) in base 16?\nAnswer: -a86821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from {l: 3, w: 3, d: 9, g: 2}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/15)\/(((-3)\/(-10))\/((-957)\/(-1276))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -858, -1737, -2674, -3699, -4842?\n\"Answer: -5*h**3 + h**2 - 847*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1 + -12. Let u = v - -1.4. Put 0.3, 2, u in increasing order.\nAnswer: 0.3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/18)\/((-11)\/44*2). Is l at least -1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-135) + (-3)\/(108\/46)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 - 7*l + 2. Let h be s(-7). Let z(m) = -m - 4 + 2*m**h + 2*m - m**2. Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 13*f**2 - 6*f - 3. Let g be a(-6). Let s(b) = -5*b - 5. Calculate s(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61541 and -49?\nAnswer: 61590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.3 rounded to one decimal place?\nAnswer: 34.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16990 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 1, h: 4, i: 7, s: 3}. Give prob of picking 1 i, 1 r, and 2 s.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) -3\/8 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34160, -4, -50, -17.\nAnswer: -50, -17, -4, 34160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by 478\nAnswer: 86\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 34828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/33)\/((-118)\/(-177)))\/(((-189)\/(-14))\/(-9))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose 12*w = 18 + 30. Factor -15*q**w - 15*q**3 + 9*q**4 - 4*q**4 + g*q**5.\nAnswer: 5*q**3*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 14*a**2 - 5*a. Let c(q) = -2*q**3 + 27*q**2 + 11*q - 1. Let i(y) = -4*c(y) - 7*s(y). Suppose n + 22 = 3*n. List the prime factors of i(n).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445184, 1781809, 4009522, 7128323, 11138212, 16039189, 21831254?\nAnswer: 28514407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48978729\/465 - 4\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -2) + -7 - (0 + 4 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14870177 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110474)\/(-3030144))\/(-3*7\/(-9))?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 34210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 804 and 1876?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 30 = 3*g, 0 = 10*w - 14*w + 4*g + 32 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 180. Let k(t) = 44*t**3 - 2*t**2 + 1. Calculate k(a).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*s - 2 + 31, -46 = 2*f + 4*s. Let b be f\/1*10\/(-10). What is the third derivative of 2*m**4 - 2*m**2 + b*m**2 + m**4 - 4*m**4 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/12 - 23\/(-4). Let f = -0.07 + 0.06. Let t = f + -0.99. Put 0.2, l, t in decreasing order.\nAnswer: l, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 15 + 2*r**3 - 16*r + 16*r.\nAnswer: 2*r**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1246*f + 232. List the prime factors of n(-7).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f - 1105. Calculate a(39).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 76472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.89 - 0.11. Suppose 2*d = 3*r - 4, r - 3*d = 2*r - 16. Let o = 9 - r. Which is the biggest value? (a) j (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944997.\nAnswer: 3, 269, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0053489 + -0.00495. Round l to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25*(-4 + -1)*-2. Let d be 2*-22*s*-1. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2238 + -375. Let o = 2613.2382 + s. What is o rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828687 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-253)\/22 + 11)*4\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32763, 32710, 32613, 32466, 32263, 31998, 31665?\nAnswer: 31258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -2\/13, -4\/5, -0.03, -2, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 (base 10) in base 13?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 divided by -266?\nAnswer: -1179\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 - (-5 - -4 - 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/27 - 8*v**3\/27 + 8*v**2\/9 + 13*v. Factor q(k).\nAnswer: 4*(k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1447474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, c: 9}. What is prob of sequence cc?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29457090.\nAnswer: 2, 3, 5, 13, 17, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2 - 4*d - 2 + 3. Let r be q(-3). Suppose -5*t - r = 0, 2*f + 3*t = 6 + 1. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/14)*q\/(q**15\/q)*q*(q*q\/(q\/q**(-14)))**(-37) assuming q is positive.\nAnswer: q**(6565\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Suppose -16 = 3*z - 2*z - 5*l, -l = 5*z + 2. Let w = 3 + z. Sort d, -5, w in descending order.\nAnswer: w, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-1 + (1 + sqrt(832) + sqrt(832))**2) - (4 + 3*(sqrt(832) + 2)**2)*4.\nAnswer: -20028 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 3577*u**5\/20 + 2705*u**4\/12 + 2*u - 115. What is the third derivative of v(f) wrt f?\nAnswer: 21462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/200, 5, 5\/3, -0.2 in decreasing order.\nAnswer: 5, 5\/3, 3\/200, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/859 - 38661\/1718. What is the common denominator of r and 83\/4966?\nAnswer: 4966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.41 + -0.4100228. What is o rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147609 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6411 + 6424. Solve -29 = j*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2328870, -4657738, -6986606, -9315474?\n\"Answer: -2328868*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 47 - 21 = 232 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2872 (c) 1\/3 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*h + 398 - 364 = 1654 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 j, and 1 s when four letters picked without replacement from {s: 1, r: 3, x: 2, e: 2, j: 3, y: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83, -383, -879, -1571?\n\"Answer: -98*g**2 - 6*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 - 1 = 0. Let i(l) = -l**2 - 2*l. Let a be i(x). Let h(f) be the third derivative of -3*f**4\/8 + f**3\/6 + 67*f**2. What is h(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1b40?\nAnswer: -1b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.57 - -8.6111. Let u = r + -0.041099728. What is u rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -19.3, 1, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 6 = -2*w, w + 1407 = -4*o. Let r = o - -309. Which is bigger: -44 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 41. Let u be z(-6). Solve c = k, 0 = -k - 2 - u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4)\/((-216)\/64). Factor -k - 2*l**2 - 4\/9*l**4 + 14\/9*l**3 + 10\/9*l.\nAnswer: -2*(l - 1)**3*(2*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/189 and -74\/357.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4 - 3. Solve -2*g = 7 + s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpj when three letters picked without replacement from {h: 2, j: 2, x: 2, p: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(1715))\/(sqrt(77)\/(sqrt(539) - (sqrt(539) + -2*sqrt(539) + sqrt(539)))) + -1)*-5.\nAnswer: -980*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*a - 1137*a - 5 + 8 - 1562*a)*(2 - 2 - a).\nAnswer: 2869*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-476)\/(-52) + -3 - (-2)\/(-13). Suppose -r*b + 7*b + 922 = 5*o, 0 = -2*o - 5*b + 358. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) - (sqrt(1215) + sqrt(1215) + sqrt(1215) + -2*sqrt(1215)) - sqrt(1215))\/(sqrt(90)\/sqrt(2)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 3*m)*(1 - 1 - m)*(-m**2 - m**2 + 3*m**2) + 947*m + 23*m**4 - 947*m.\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 2 (b) -0.4 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85603*u**2 + 2 + 85602*u**2 + 3 + 90*u - 2 - 5 to the form r*u**2 + t + m*u and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c**2 + 2. Let d(t) = t**2 - 2*t + 1. Let b(v) = 4*v**2 - 12*v + 6. Let l(q) = b(q) - 6*d(q). Calculate s(l(p)).\nAnswer: -40*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -56, -27, 36, 145, 312, 549, 868?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2411668)\/(-8)*(245 + 1). Suppose -7*s = 78231209 + r. Round s to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (13 + -18)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttysttyyysyysyyytys.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 820802 (base 9) to base 8\nAnswer: 1665424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14261 - 2*b - 28414 + 13824.\nAnswer: -2*b - 329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174724?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*-2*(-6)\/(-15). Let q be (2\/4)\/(g\/(-64)). Let k be 28\/10 - q\/(-20). Solve -9 = 2*u + k*l, 6*u + l + 16 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0 + 0 + (4*l - 5*l + 0*l)*(-2 + 0 + 3) - 8213 + 8213 + 110*l)*(-2*l**2 - 4*l**2 + 2*l**2).\nAnswer: -428*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llml when four letters picked without replacement from mmmmlllmmlmmlmmmmml.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 1428, 2555, 4704, 8205?\nAnswer: 13388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 0, -3*z - 3*b + 321 = -96. Let j(g) = -7 - g**3 - 279*g - 6*g**2 + 138*g + z*g. Give j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**3 - l**2 + l - 1. Let k be c(1). Let x be 10 - 3\/k*(-2 + 2). Let q = 83 - x. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:22 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*t**3 + 11*t**2 + 2449 with respect to t.\nAnswer: 138*t**2 + 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82.6 - -121.7. Let m = -39 + d. What is the nearest to m in 1\/12, 6, -0.1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148004 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487202 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-115))\/(3\/10)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63578925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o + 50. Let t be q(-3). Suppose w = -t + 422. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*(-12)\/21. Suppose -3*l + 0*l - 6 = 0. Let d be l + 3\/(5 + -2). Sort f, -4, d.\nAnswer: -4, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142011300 (base 6) to base 15.\nAnswer: 3c287c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -353 + 358. Let d(k) = -k - 5. Let v(x) = 3*x + 14. Let y(i) = -11*d(i) - 4*v(i). What is y(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = 4*k. Let r be ((-3)\/k)\/((-2)\/(-66)). Let x = 41 - r. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 5025\/(-325) + (19410\/5720 - 3).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3120.168 to the nearest 10.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664222 a multiple of 1213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-531)\/(-1800) + ((-4)\/(-50))\/1. What is the smallest value in 13\/6, u, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93414 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57 - -0.27. Which is the second biggest value? (a) o (b) -2\/11 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*z + 2*z. Let x be (-28)\/16*57\/(-140). Let v = 5\/16 - x. Which is the nearest to v? (a) -3\/5 (b) -2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4173 and -86\/15.\nAnswer: 20865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 + 67*m**2 - 35*m - 32. Give v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240673.\nAnswer: 19, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144\/97 + 11455\/582. Find the common denominator of 44\/27 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 33*a + 14. Let h be w(-17). Is 22 a factor of (13\/h - -1)\/(8\/(-2508))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303*l**3 + 4449*l**2 - 3240*l**2 - 842*l**3 wrt l?\nAnswer: -6870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 + 2*q**3\/3 - q**2 - 3*q - 6. Suppose 0 = n - 5*n - 2*b + 18, 0 = -4*n + 3*b + 13. Determine f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(128) - (0 + sqrt(242)) - ((-4*sqrt(288) - sqrt(288)) + 0).\nAnswer: 197*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*j - 20, -3*r + 653*j - 648*j + 70 = 0. Calculate the highest common divisor of r and 12615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(128)*2*-1 - (sqrt(128) + 5 + 2*sqrt(128)))**2.\nAnswer: 2000*sqrt(2) + 16125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249403 is divided by 62334?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -6, 3, -2\/19, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.98 + -137. Let x = 3 - p. Is -0.1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 20, 18?\n\"Answer: -2*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**7\/1260 - r**6\/180 + r**4\/4 + r. Let z(i) be the third derivative of d(i). Factor z(n).\nAnswer: 2*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + 2*y - 5. Let p be n(-2). Solve 0*t - 4*t = 5*x - 11, p*t + 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2331 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let n(a) = -7*a**2 - 12*a + 9. Let i(s) = 4*s + 2. Let l(m) = 3*i(m) + n(m). Calculate o(l(x)).\nAnswer: 7*x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 220283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 598867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/((-24)\/72)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -158*l - 683. Determine h(-3).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14305.\nAnswer: 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 442807, 885558, 1328313, 1771072?\n\"Answer: 2*k**2 + 442745*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 78. What is f(-18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2381 - -2452. Calculate the greatest common divisor of k and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2, 0*p - 86 = -3*f + 4*p. Suppose f + 10 = 4*l. Solve 2*k = -4*t + l, 5*t - 4*t + 5*k - 7 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**5*o))\/o)\/((o*o*o**(-3\/5)*o)\/o)*(o*o**(2\/3))\/(o\/(o**(-11)\/o)))**(4\/19) assuming o is positive.\nAnswer: o**(-1124\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -46478\/71789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39041 = -2*f + 5*y, 0 = -12*f + 10*f + 4*y + 39042. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - g**2 - g. Let y be k(-1). Let c(n) = -n**3 - 21 + 5*n - 24 + 44 + 3*n**y. Suppose 2*u = 4 + 2, u = -2*w + 11. What is c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1242 divide 51214530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4812 + -0.9812. Which is the biggest value? (a) -0.1 (b) -2 (c) y (d) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90817693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/7, 1\/8, -2\/3, -0.6, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 2}. What is prob of picking 1 u and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a - 8*a - 10*a. Let g(l) = -7 + 5*l**2 - 5*l + 6*l**2 - 4*l**2 - l**3. Let d be g(6). Calculate f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3. Let u be b(0). Suppose u*n - 2*n = 2. Calculate the remainder when 2 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (19 + -10)) + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/424506316 and 101\/8?\nAnswer: 849012632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79.2 - -60.8. Which is the second smallest value? (a) -5 (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38970188241 and -0.08.\nAnswer: 38970188240.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.5, 1216, 0.3, -4, 2\/5.\nAnswer: -4, -5\/4, -0.5, 0.3, 2\/5, 1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74\/3 + -24. Suppose 4*k - 11 = 532*f - 529*f, -f + 13 = 2*k. Let x = -1.7 - -1.2. Which is the biggest value? (a) -1\/3 (b) r (c) x (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75 and -392.\nAnswer: -29400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 45009456 and 3899.\nAnswer: 45013355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 5*p**3 + 0*p**3 + (-2 + 2 - 3*p**2)*(16*p + 12*p + 8*p).\nAnswer: -106*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 5550813*g**2 - 2567624304672*g + 2567629855488.\nAnswer: -3*(g - 1)*(g + 925136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/3)*h\/h**7)\/(h\/h**(3\/7)*h*(h**0*h)\/h)*h*h**(1\/4)*h\/((h\/h**(-3\/4)*h)\/h)*h**1\/h**(-1) assuming h is positive.\nAnswer: h**(-143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 - 190 + 627)*(1 - 1 - 2)*(3*b**2 + 4*b**2 + 0*b**2)*(-4*b + 6*b - b) in the form o*b**3 + q + x*b**2 + v*b and give o.\nAnswer: -7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9714*i - 136478. What is x(14)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-6))*(v*v*v**(2\/53))\/v)**25 assuming v is positive.\nAnswer: v**(-6575\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**6*w + 103*m**5 - m**3*w + 159*m**2*w wrt m?\nAnswer: -480*m**3*w + 6180*m**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -533*d*v - 84507*d + 17*v + 2 wrt v.\nAnswer: -533*d + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 15 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32148*s**2*w**3 - 17505*w**3 wrt s.\nAnswer: -64296*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 17*s - 650. Give w(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/4 of a milligram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from {x: 5, k: 1, j: 2, q: 1}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -1\/20*p**5 + 3*p**2 + 0*p - 1\/6*p**3 + 0 - 1\/12*p**4. Let f be 2\/(-5) + (-6)\/10. Give y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/22838 or 1?\nAnswer: 75\/22838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1400 + 34131552?\nAnswer: 34133352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 452 - 434. Let c(l) = 44*l + 11. Calculate the remainder when c(i) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844013.2 decades in years?\nAnswer: 8440132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/900 - j**4\/60 - 10*j**3\/3 - 16. Let t(m) be the third derivative of w(m). Factor t(d).\nAnswer: 2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*d = -78, 154 = -259*m + 262*m - d. Solve 2*h - 41 + m = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6860414 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2666 + 39988\/15. Sort 0.2, l, -6.\nAnswer: -6, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -l - 6, 2*l - 5*d + 14 = 4*l. Suppose -5*r = -7*j + 5*j - 1, 0 = -j - 3*r + 5. Solve -l*g = x - 0*x - 4, j*x = g - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(0*y - 2*y + y)*(-30*y + 72*y + 0*y)*(-6*y + 14 - 4 - 11).\nAnswer: -252*y**3 - 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*c - 29233 = -1220*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 4*l + 53. Let g be f(-6). Suppose w + 2*w - 266 = -2*u, -4*w = -16. Suppose 334 = 4*j - 3*v, -3*j + u = -g*v - 129. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 25 + -15 + 14 + (-6 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -30, 10, 122, 330?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/5 + 19*s**3 + 226*s**2 + 423*s. Differentiate r(w) with respect to w.\nAnswer: 12*w**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64 times -2?\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3*2\/((-6)\/1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 1. Let x(y) = 1 - 120*y + 119*y + 0. Determine -2*t(q) - x(q).\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/24*(1 + -38) and 13\/((-26)\/(-5))*(-79)\/(-20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-2) - (6\/(-8))\/((-24)\/(-16)). Let d(p) = p**3 - 14*p**2 + 13*p - 4. Determine d(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*w = -w + 708, -x + 237 = 2*w. Suppose 229*k - x*k = -6. Solve -2*j = k + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1426*l**3 - 18707*l wrt l.\nAnswer: -8556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16176*o**4 + 16175*o**4 - 32351*o**4 + 2936*o**5 - 878*o**2 wrt o?\nAnswer: 176160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 15 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12223*z**2 - 6*z + 6. Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 3558 = -19896. What are the prime factors of k?\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-51)\/18)*(-24)\/160. Let r = -5 + 7. Which is the second smallest value? (a) m (b) 2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:11 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77239 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h - h. Let t be h - (2 - 6\/33). Let r = -0.05 + 0.05. What is the third biggest value in 4\/3, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31735431 by 503737.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*6\/(-2) + 4. Is -1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0 - 15 = 0. Let g = -174 + 173. Let h be 7 + k\/g + 0. Solve 2*v - 17 = -5*n, n + h + 7 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7121.4 - 8651. Let x = y + 1529.53073. What is x rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 - i\/2 - 3 = 0. Calculate i.\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -12) + (-4 - -20 - (-2 - -6))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111111000100110010 - -10111111?\nAnswer: -111111111000001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t*t)**(-16)\/(t**(-11)\/t**(-10\/3)) assuming t is positive.\nAnswer: t**(-409\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 423\/(-33) + 3 + 22\/(-121)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 171?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 20*n + 21. Suppose 15*b - 161 = 604. What is the remainder when b is divided by q(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15))**44 assuming c is positive.\nAnswer: c**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9380 and 0.5.\nAnswer: 9380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5496736 and 2688?\nAnswer: 65960832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3074 and 71311.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1518266 - 4328010\nAnswer: -5846276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from kpkks?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464 - -209. Let h be (-2)\/7 + w\/(-35). Suppose 4*y - h = 13. Solve -4 = -y*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.9624mg in tonnes?\nAnswer: 0.0000008479624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19064 equal to 95318\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(-2*sqrt(250)) - (4 + sqrt(5929)\/sqrt(7)))**2*-5 + -2)*-6.\nAnswer: 2664*sqrt(7) + 263661\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9300304406813 plus 0?\nAnswer: 0.9300304406813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5 = -4*u, -3*m + 2*m = 4*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 49. Calculate u(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 3\/4, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n - 9. Let f be s(-6). Let g be (-4)\/f - (-37)\/21. What is the third smallest value in 0.5, g, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = l - 14, -4*l - 2*i = -32 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153.07 + -153. Put -3, 3, 2, z in increasing order.\nAnswer: -3, z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2119824440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -262037888 divided by 1?\nAnswer: -262037888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2909735 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(363) + -5 - sqrt(363) - sqrt(363) - -6*(sqrt(363) - sqrt(363)*-2))**2 + 1.\nAnswer: -2244*sqrt(3) + 104944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.6, 0.3, 2, -1\/4.\nAnswer: -1\/4, 0.3, 2, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 3. Suppose -75 = -5*z + 2*z + i*h, -5*z + 109 = 2*h. What is the first derivative of 10*j**3 - 1 - 23*j**2 + z*j**2 wrt j?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**21)**(-49) assuming l is positive.\nAnswer: l**980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/7 + 7 + -2 + (-855)\/42?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111 (base 2) to base 10.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 + -147.9. Let q = -13 + g. Which is the closest to -1? (a) q (b) 0.01 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703832995?\nAnswer: 5, 1009, 139511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 4 + 2.\nAnswer: 6 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2461 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*r - 4*r - 10*r)*(1 + 3 - 5).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2505, 2507, 2509?\n\"Answer: 2*v + 2503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103.1227 + 103.1. What is b rounded to 4 decimal places?\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -74, 5242, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 12*m + 26. Let k be p(-10). Calculate the least common multiple of 4 and (k - (7 + 4))*6\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 1) + 4386\/(-765). Put -3, 4, p in ascending order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 0.02. Let s be 4\/((-6)\/9*-9). Which is the nearest to s? (a) i (b) 2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4)*(1 - -2). Let j(s) = 55*s - 2. Is j(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/6 + 70*p\/3.\nAnswer: -5*p*(p - 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18543 - 18504.105. Let k = n + -39. What is k rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4))\/((p**(-2)*p)\/p)*(p*p**(-4))\/(p*p*p\/(p**(-3\/5)\/p)*p*p*p*p*p))\/((p*p**1*p*p*p**6)\/((p*p\/p**(-1\/3))\/p)**48) assuming p is positive.\nAnswer: p**(202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-3\/7)*w)*w**14)\/(w**(4\/3)\/((w\/(w*w*w\/w**(2\/15)*w*w))\/w)))**(-5) assuming w is positive.\nAnswer: w**(-253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14772751, -29545511, -44318283, -59091073, -73863887?\n\"Answer: -i**3 - 14772753*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g**2 + 3. Let x(a) = 6*a**2 + 909 + 11*a**2 - 916. What is -7*w(y) - 3*x(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 531494670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + o**2 + 4 + 2*o - 1 + 2 + 5*o. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**6 - 4*b**4 + 212*b**3 - b**2 + 3529.\nAnswer: -360*b**3 - 96*b + 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 228386, -12 in decreasing order.\nAnswer: 228386, -2, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 1)*(-51)\/(-68) - -122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:50 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(-439*n + 193*n + 182*n)*(-2*n**2 + 6*n**2 - 2*n**2).\nAnswer: 384*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 134162*d**4\/13 - 4559436*d**3\/13 + 4356906*d**2\/13 + 68104*d\/13 + 264\/13 = 0. Calculate d.\nAnswer: -2\/259, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 34*z**3 - 20*z**2 - 50*z - 10. Determine d(-2).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-55))\/(((-960)\/(-88))\/(-30))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - 40*k - 444. What are the prime factors of r(-14)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 18 = -2*s, 2*h + 5 = -3*s. Let n be 18\/(-3)*s\/(-3). Solve 4*c - 10 = 2*t - 0*t, -25 = -n*t - 3*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1.1. Suppose -y = -24*y - 759. Put 1, y, k in descending order.\nAnswer: 1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 47 = -w, 46 = 4*s - 0*w - 2*w. Let z be -1 + 0 + -2 - (-40)\/s. Let x = 2774\/11 + -252. What is the closest to z in 0.1, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*d + 3*s - 21, 4 = d + s. Does 2 divide 2 + (-68)\/(-6) + d\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/9, -18, 0, -1, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.63. Let c = -0.5999969 + d. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(6 + 72 + 96)*(-2*v + 2*v + 3*v).\nAnswer: -1044*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 + 81*m - 41. What is g(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 2723?\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -478, -712, -930, -1126, -1294, -1428, -1522?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*k**2*z**3 - 12*k**2*z**2 - 4*k**2*z + 16*k*z**3 - k + 138*z**4 - 3*z**3 - 3639 wrt z.\nAnswer: 84*k**2 + 96*k + 3312*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 - 41*d**2 + 5. Let r(p) = 8*p**3 + 41*p**2 - 6. Give -5*r(s) - 6*x(s).\nAnswer: 2*s**3 + 41*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g - 2. Let i be v(0). Let t = 0 - 0. Let a = 3 - 14. Sort a, i, t, -0.3.\nAnswer: a, i, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -101\/9664 and 73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*k + 5005 = -268*k + 495*k for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-7) + (-24216)\/3024 and 137\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 2\/17, -5, -8, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 56241, 5, -15, -4 in descending order.\nAnswer: 56241, 5, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssxss. What is prob of sequence xsxs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 207 = 4*m, -3*m = -3*q - 57 - 102. Let k(s) = -4*s - 1. What is the remainder when m is divided by k(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09352446 to four dps.\nAnswer: -0.0935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:28 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + 1. Let t(w) = 3*w**3 - 68 + 718201*w - 718201*w - 2*w**2. Give -2*n(j) - t(j).\nAnswer: -j**3 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5843258 divided by 2921629\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 16*u**2 + 4. Let g be o(-16). Suppose -2*b - 5*m + 18 = 2*b, 26 = g*b + m. Suppose -b - 82 = -l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let i(a) = 26*a + 6. Let b(r) = -728*r - 169. Let u(k) = -6*b(k) - 169*i(k). Give f(u(j)).\nAnswer: -52*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 378697471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961074293 - 961074259.00000097. Let r = -33.4 - 0.6. Let z = r + u. Round z to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -117, -250, -433?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1374 times 0.08?\nAnswer: -109.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450448121 to the power of 1\/2, to the nearest integer?\nAnswer: 58741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 217309 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0391 - -0.9609. Which is the closest to d? (a) 3\/2 (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((5 - (3 - -1)) + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176187?\nAnswer: 3, 11, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5213*t**5\/60 + 3355*t**3\/6 - t**2 - 101*t. Differentiate o(y) with respect to y.\nAnswer: 10426*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 37610*t = 0.\nAnswer: -7522, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*q - 10, -q - 158*x + 17 = -153*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652702.57 minutes in weeks?\nAnswer: 263.1649375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 36 = -2*o, -10*o - 29 - 15 - 158 = -12*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24330, 39480, 54632, 69786, 84942?\nAnswer: 100100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-517)\/22 - -10). Which is the nearest to -1\/3? (a) -34 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-21) + 10 + (-6684)\/(-42). Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b + b - 4*b + b**2 - 7. Let j = -20 - -27. Let g be c(j). Solve g*z + 2 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4266 is divided by 1381?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 344?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*((4 + 0 - 2)*(0*s + 3*s - 4*s) + 255*s + 56*s - 53*s) + (-2 + 0 + 5)*(-5*s + s + 3*s).\nAnswer: 253*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let x = -9.93 + 9.83. What is the second biggest value in 6, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-11 + (-105)\/(-14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171232388 and 16?\nAnswer: 684929552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37404 + -37403.96. Let c = -1 + 1\/3. What is the nearest to c in y, 3\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*z**6 + 137*z**4 + 229*z**2 - 2*z + 48 wrt z?\nAnswer: 6960*z**3 + 3288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 2*c**2 + 4*c**2 + (0*c + 0*c + 2*c)*(7*c - 3*c - 2*c) - 583*c**2 + 525*c**2 + 283*c**2 - 2*c.\nAnswer: 231*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 8*c - 2968. What are the prime factors of c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*s**2 - 295*s**2 - 317*s + 317*s.\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*s + 1 + 13*s - 10*s)*(2 - 2 + s) to j*s**2 + c + u*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 115*b - 102. Is z(50) a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66594 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54063 and 1459701.\nAnswer: 1459701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 600\/84 + 36\/42\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 22 - 11 + 6*z**2.\nAnswer: 6*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/113 > 66\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -34*s + 1050. Determine x(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.4, -1, 5.18, -10, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -300\/19, 495, 2\/13?\nAnswer: -300\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1784, 1791, 1810, 1847, 1908?\n\"Answer: r**3 + 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353426, 706788, 1060150, 1413512, 1766874?\nAnswer: 2120236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219136 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/(-6))\/(((-8)\/(-150))\/4). What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-675)\/(-6 + 3))\/(0 - 1). Let v be (f\/(-20))\/((5\/4)\/(-5)). Let i = v + 65. Solve -4*j - 8 = 2*n, -j + i = -5*n + 4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3 - 14*i**2 + 9*i + 48. What is the tens digit of h(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 4)*(0*l + 3*l + l) + (-3*l + 2*l - l)*(138 - 154 + 148) to z*l + v and give z.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 1 (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 42. Let q(z) = -z**3 - 7*z**2 - 5*z + 4. Let d be q(-6). Let k be (-1)\/d + x\/4. Solve 0 = -3*a - 2*v, 5*v + 9 = a - k*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22231032012 (base 4) in base 6?\nAnswer: 140053450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.89, 0.23, 62189 in descending order.\nAnswer: 62189, 1.89, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 54, 51, 46, 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.79 and -0.16376?\nAnswer: 0.9481704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s. Calculate the least common multiple of q(1) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -13 + -10 + 1 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/5 + (16\/10 - 1). Solve -i*u - 3*y = -18, y - 2 = -5*u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1466*d - 1320. List the prime factors of j(-8).\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 - 11*s**4\/12 + 5*s**3\/3 + s**2 - 4*s. Let q be f(10). Factor 4*m - m**2 - 2*m**q - m.\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1796*u - 1806*u = -7960. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37310*a = 37302*a - 88 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128\/5*l**2 + 24\/5*l**3 - 4*l**4 - 4\/5*l**5 - 128\/5*l + 0 = 0. Calculate l.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/110 - q**4\/6 - 19*q**3\/33 - 9*q**2\/11 + 20*q. Find w such that k(w) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17*i**2 + 17*i**2 + 3*i**3.\nAnswer: 3*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**2 + 13*j + 0 - 1\/6*j**3. Calculate p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*a = 5*q, 5*a = 2*q - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/9 (b) 2.9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4\/9*j**4 + 2\/9*j**5 + 4\/3 - 16\/9*j**2 - 4\/3*j**3 + 10\/9*j = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1779*o - 1801*o = -110. What is the greatest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 - 12*n. Suppose -11*l - 77 = -66. Let m(j) = j. Give l*a(v) - 12*m(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -638 = -f*z + 31. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -63 + 23 + 2*c - 21*c - 4. Let z be l(-3). Solve -19*v = -z*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -7*c**4\/12 + 3*c**2\/2 + c. What is the first derivative of l(g) wrt g?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 5*(3 - 4). Let n = d + -8. What is the third derivative of 33*c**3 - 7*c + c**2 + 10*c - n*c wrt c?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6412\/924 - 4\/(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0434.\nAnswer: -0.1302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1747415873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppn when three letters picked without replacement from {x: 3, n: 1, o: 3, h: 4, p: 6, u: 1}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 3113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 + -236. Let t = -69 - g. Let i be 2\/10 - (-84)\/30. Solve d = -t - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4, -3*s - 2*w = -w + 7. Let t be (-1 - s\/2)\/(-3). Suppose -2*q - 3 + 7 = t. Solve -q = n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.01, -2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 456?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c**2 + 4*c + 15. Let z = -85 - -100. Let f(g) = -z + 9 - 8*g**2 + 14 + 2*g. Determine 11*f(x) - 6*p(x).\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * -67.\nAnswer: -8777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20196 and 165.\nAnswer: 100980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + y + 13, 0 = 4*p + p + 3*y + 5. Suppose p*z + 8 = 2. Let d = -1 - 1. Sort 2, z, d in descending order.\nAnswer: 2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/6871?\nAnswer: -4\/6871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/3429 and 115\/4572?\nAnswer: 13716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5236.47 hours?\nAnswer: 218.18625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -117. Let c = 129\/2 + q. Is c at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + 5*w - 20, -y = -3*w + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/21)\/y*y)\/y**(-7\/8) assuming y is positive.\nAnswer: y**(139\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*x**5\/3 - 31472*x**4\/3 + 1055272*x**3\/3 - 5608112*x**2\/3 - 129781148*x\/3 - 2126048\/3 = 0. What is x?\nAnswer: -8, -1\/61, 29, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2324 - 2324 + 81*f**2.\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*z**3 - 5 + (2*z - 3*z - z)*(2*z**2 + 2*z**2 + 0*z**2).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704522040 to the nearest integer?\nAnswer: 26543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1011001?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(-11 - u - 2*u + 13) to n*u + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3617*w**2 + 65. Let q(c) = 121170*c**2 + 2184. Give 168*f(m) - 5*q(m).\nAnswer: 1806*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**24*(h*(h\/h**4)\/h)\/h**0 assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 18*m**3 + 18*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 0 - (1 - 8 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/(-4) - -7. Suppose -o*j - 17 = -n - 4*j, 0 = 2*n + 3*j - 1. Suppose 2*a + 21 = -5*t, 4*t - 4*a + 19 = -9. Sort n, t, 0 in decreasing order.\nAnswer: n, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1448606 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 - 27*w. Let i(b) = b**3 + b**2 + b. Let y(r) = i(r) + t(r). What are the prime factors of y(13)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9191 rounded to two decimal places?\nAnswer: 9.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1593)\/(-236))\/(-1 + 5\/4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lncc when four letters picked without replacement from lcyylznc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = 19*a - 23*a. Suppose -a*m - 1458 = -95*m. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + 5*v. Is v\/(((-6)\/198)\/((-853)\/(-3))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727054 is divided by 1234.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose 5*x + 2 - 22 = p. Let h(q) be the first derivative of -2*q**3\/3 + 2*q**2 - 2*q - 3. Give h(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18498331 - -3.4\nAnswer: -18498327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 equal to -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/4 + v**4\/8 - 7*v**3\/6 - 45*v**2. What are the prime factors of q(4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 17*o**2 - 16*o - 17. List the prime factors of p(15).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)*(b*b*(((b**2*b)\/b)\/b)\/b)\/b*b*b**(-3\/7)*b*b*(b**(-8)*b)\/b assuming b is positive.\nAnswer: b**(-117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24862, -49675, -74486, -99295?\n\"Answer: a**2 - 24816*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*y*z**2 - 31971*y + 544068*z**3 wrt z?\nAnswer: 4*y*z + 1632204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l - 9*l - 9200 = 16*l. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 14 - 3889*n - 105 + 0*n**2.\nAnswer: -2*n**2 - 3889*n - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 731 + 6698. Does 169 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -28. Let i = -6.2 + y. What is the third smallest value in 4, i, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 112\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Suppose 8 + 7 = z*g. Let a = 9 + g. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*d + 161*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 749080712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11471763.\nAnswer: 3, 19, 313, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 2*f**2 + 4*f - 1. Let y be 32\/(-20)*5*(-1)\/2. Calculate p(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 25*c + 528. Calculate v(0).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 3. Let j(k) = -9*k + 8. Let b(s) = -s**3 + 2*s**2 - 2*s + 4. Let p be b(3). Let z(x) = p*i(x) - 4*j(x). What is the derivative of z(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 148302*x. Let a(z) = 18*z. Calculate u(a(g)).\nAnswer: 2669436*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 3*y**2 + 0*y**2 + (y + 5*y - 4*y)*(y + 3*y - y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i + 29. Let h(f) be the third derivative of -7\/6*f**3 + 0 + 15*f**2 + 0*f - 1\/6*f**4. Calculate 9*h(n) + 2*w(n).\nAnswer: -2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1191 - -4?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - -38. What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -24. Let o = q - -22. Calculate the greatest common divisor of 21 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79708913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-80)\/((-32)\/4))\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.18314 to 2 dps.\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168119624.\nAnswer: 2, 97, 216649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.044.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s**3 + s - 1. Calculate the remainder when 53 is divided by l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/14)\/(b*(b\/(b**1\/b))\/b))**(-39\/5) assuming b is positive.\nAnswer: b**(507\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + m + 79, -87 = -2*l - 2*l + 5*m. Let a be (-1 + 2)\/(20 - (-477)\/(-24)). Suppose 6*j - l = a. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8 + 1.2. Suppose -p + 0 = -2. Which is the second biggest value? (a) -0.4 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + (-50)\/(-20). What is the third derivative of 92*k - 2*k**2 + p*k**6 - 6*k**6 - 92*k wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-57))\/((-1)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5212831 weeks to days.\nAnswer: 3.6489817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101333 (base 4) to base 8\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.5 (b) 3 (c) 172 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 2753072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -2\/3, 18 in decreasing order.\nAnswer: 18, -0.05, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134059780 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(618\/(-36) - 3\/(-2)). Is -20 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 8*c - 3*c)*(210*c**3 - 107*c**3 - 1 - 104*c**3 - 105*c).\nAnswer: -16*c**4 - 1680*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 6*l + 8. Let d(a) = -a**2 + 4*a + 4. Determine -5*d(f) + 2*p(f).\nAnswer: -f**2 - 8*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**4 + 2*k. Let f be 1\/(-1 + 9\/6). Let s(i) = 3*i + 1. Let l(r) = f*s(r) - 3*x(r). What is the first derivative of l(j) wrt j?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104.88 * -0.05467\nAnswer: -60.4037896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 93*n**2 - 1517*n + 606. Determine g(72).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3943 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, -664, -3.\nAnswer: -664, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 252?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Let w = 182735\/4 + -45687. Find the common denominator of a\/4*(-83)\/(-16) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/15 - 1885\/(-75). Find the third derivative of l*t + 14*t**2 - t**4 + 31*t**3 - 32*t**2 + 19*t**2 wrt t.\nAnswer: -24*t + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -248*i - 122. Let m(f) = -84*f - 41. Let h(p) = 5*j(p) - 16*m(p). Find the first derivative of h(n) wrt n.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w + 0*w - 207*w = -1340 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 3*j, -5*j - 4 = q - 12. What is the common denominator of -6*6\/336*q*16 and -7\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/1134*3)\/(100\/175)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(4\/23)*(v*v**(2\/9)\/v*v)**(1\/12) assuming v is positive.\nAnswer: v**(-179\/2484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 1\/200*j**6 - 1\/560*j**8 + 0*j**3 + 0*j**4 + 0*j + 3*j**2 - 1\/350*j**7 + 0 + 1\/100*j**5. Factor w(t).\nAnswer: -3*t**2*(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x - 179. What is s(-11)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**2 - 42*k + 4. Let z be 3\/21*-2 + 1248\/56. Let q be c(z). Solve 4*v + 4*s = 8, v - s + 2 = -q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*d**2 + 21535*d - 850150.\nAnswer: -5*(d - 347)*(11*d - 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/96)\/((-2)\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 7*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 + -223. Let f = -7.99 - 0.01. Let x = f + w. Which is the nearest to 1? (a) 1\/2 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 506, 665, 824?\n\"Answer: 159*c + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three halves of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 0 - (2 + (-40 - -45))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513213 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126298321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 22) + -24 + 63 - -6\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c + 4. Let u(k) = -2*k + 1. Let j(t) = -7*u(t) + 2*w(t). Let i(l) = 3*l + 1. Let o(r) = -87*r - 2081. Let d be o(-24). Determine d*j(s) - 5*i(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 8 = -4*c, -5*o - 2*c = -30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 20*t**4\/3 + 5425*t**3 + 556090*t**2\/3 - 46680*t = 0?\nAnswer: -778, -36, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -891.48 and -0.4?\nAnswer: 356.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 410081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -4521\nAnswer: 6329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 91?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n**3 - 10*n**2 + 40*n. Let b(a) = -a**3 - 2*a**2 + a. Calculate 5*b(k) - o(k).\nAnswer: 3*k**3 - 35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 2*s + s)*(-4*s**4 + 4*s**4 - s**4 - 2*s**3) + 2*s**4 - 2*s**4 - 2*s**5 + (-3*s - s**5 + 3*s)*(-1 - 1 + 1).\nAnswer: s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -10. What is the remainder when -3 + (11 - (13 - 34)) - 1*4 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l - 16. Let q be p(0). Let x = -21 - q. Is x less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -850*o - 587377. Give g(-691).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*z**4 - 2*z**3 - 2415*z**2 - 21*z + 422?\nAnswer: 336*z**2 - 12*z - 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6236 (base 7) to base 10\nAnswer: -2183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 6. Calculate a(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1878 + -1861. What is the remainder when 253 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*y + 9*y - 13, 7*o - 4*y = 43. Let q(l) = l**3 - 4*l**2 - 11*l - 7. What is q(o)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(6\/(-234)). Let d(y) = 27*y - 20. Is d(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-19)*u**(15\/8))\/(u**(2\/51))**14 assuming u is positive.\nAnswer: u**(-6803\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.27355 + -0.12645. Which is the closest to 1\/4? (a) 0.3 (b) y (c) 3\/2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 704?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11642 or 157?\nAnswer: 11642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43507, 43476, 43445, 43414, 43383, 43352?\n\"Answer: -31*w + 43538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -352*s + 31. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*r - 5*i, 3*r + 0*i + 3 = -3*i. What is the third derivative of 3*l**3 - 4*l**3 + r*l**3 - 5*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 19*f**5\/20 - f**4\/6 + 9*f. Find the third derivative of p(x) wrt x.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17*y - 32 = 0. Suppose f - 4 = -3*g, 2*f = 4*g + 8 - 20. Let q = 0 - f. Which is the third smallest value? (a) -0.5 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((26 - 18) + 7 + -13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 444*q**3 - 112.\nAnswer: 1332*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*x = 52, 4*x + 3 = y + 7. Suppose r - 7*r + y = 0. Find the third derivative of 6*z**2 - 15*z**2 + 9*z**6 - r*z**2 wrt z.\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 14*q**2 + q - 9. Let u be f(14). Suppose -1 - 6 = -w + 4*d, -5*w + 80 = -u*d. Calculate the remainder when 170 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 405454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -0.06. Let r = l + 0.17. Sort r, -1, -0.5.\nAnswer: -1, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 4*x + 0*x. Let r(q) = 41*q. Let i(p) = -87*p. Let v(a) = -7*i(a) - 15*r(a). Calculate v(g(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6936.419 to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2235 and 13857.\nAnswer: 69285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 5*j + 5. Let c be i(5). Put 0, c, 3 in descending order.\nAnswer: c, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*c - 27 = 0, 2*q + 3*c = -150 + 153. Put q, -1, -9, -12 in descending order.\nAnswer: -1, q, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k + 7. Let y(b) = b - 15. Let l(h) = h - 17. Let w(d) = -8*l(d) + 9*y(d). Give -2*s(f) + 14*w(f).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 + 8*u - 26. Let d(i) = -2*i**2 + 3*i - 9. What is -8*d(s) + 3*v(s)?\nAnswer: -2*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -25*b + 5. Let j(h) = 51*h - 11. Calculate 3*j(v) + 7*o(v).\nAnswer: -22*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167440 - -2?\nAnswer: -167436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 852 - 189 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1829 - 0.0279. Let g = 16938.16300127 - 16938.318. Let k = g + j. What is k rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:05 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 448, 1790, 4026, 7156, 11180, 16098, 21910?\n\"Answer: 447*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3572 + -3501. What is the remainder when 1346 is divided by u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 0.8 (c) -0.1 (d) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-304)\/(-684))\/(6\/26433). What is the highest common factor of 267 and y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3789\/17682)\/((-2)\/(-28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d + 7*d + 5*x, -x - 1 = 2*d. Let k(l) = -l - 3. Let v(y) = -y**2 + y - 2. Let m(b) = d*v(b) - k(b). Give m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5703*q**3 + 197*q - 5694*q**3 + 11383*q**3 - 198*q.\nAnswer: -14*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, d: 7}. What is prob of picking 3 d?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4))**20)**(10\/7) assuming n is positive.\nAnswer: n**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844725 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Let w be 2 - (-3 - (-1 - q)). Suppose 3*h - 76 = w*u, -2*h - 3*u - 11 = -39. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 711, 3141, 9661, 22317, 43155, 74221, 117561?\n\"Answer: 341*g**3 - g**2 + 46*g + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8335 + -0.1665. Let q = -0.2 + 0.4. Sort -1\/3, -0.5, q, a in descending order.\nAnswer: q, -1\/3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -4, -562 in ascending order.\nAnswer: -562, -4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5400 and 2225000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21133 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1583 - -4045. Calculate the remainder when y is divided by 176.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 12*i - 13. Let w be v(5). Which is the closest to w? (a) -0.7 (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 + g. Let l be a(1). Let p = -39.7 - -39.6. What is the nearest to l in 1\/6, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -355 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.78 - -41.78. Which is the nearest to l? (a) 0.4 (b) -4 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -632.4 - -632. What is the second biggest value in 0.5, v, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:25 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.1, 3, -1422?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**2 + 3. Let s be x(2). Let c = s - 56. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**2 + 16*u - 27*u**2 + 37*u**2. List the prime factors of s(-3).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 - 4.7. Suppose 0 = -9*z - 139 + 184. Let y = -0.39 - 0.01. Put y, u, z, -0.5 in descending order.\nAnswer: z, u, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*s, -s - 34 = -2*d - 6*s. Suppose 3*c + 0*c = 21. What is the greatest common divisor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37558 is divided by 17763.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 - 343 - (6 - 7).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15539\/5363 + 90\/31. Let x = 509\/1730 + u. Let t = 5\/54 + 2\/27. Calculate the common denominator of t and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 + 15*u**2 + 3*u + 9. Does 2 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 6*z**2 - 2*z - 4. Let u be j(-9). Are u and -957 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*n - 20696*d - 2892*n with respect to n.\nAnswer: -4*d - 2892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26288569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 24. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*d - 2*m, 5*d = -53*m + 55*m - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 55 = 3*y. Let p = 78 + y. What is the remainder when 91 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 90 = -b. Let m = -6 + b. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86937220 to the power of 1\/2, to the nearest integer?\nAnswer: 9324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7981651600 to the nearest 1000000.\nAnswer: 7982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10735 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-520)\/(-52)*(-4)\/470*25\/100?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133774172?\nAnswer: 2, 7, 337, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235 + 325. Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + -0.3. Is 3 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50200659060 + -50200658942.999999409. Let i = 20.8 - 137.8. Let d = i + t. Round d to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154.3 + -166. Let g = -7.7 - a. What is the nearest to 1\/2 in g, -3\/7, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2259 - -2270. Put -1\/7, t, -0.4, 0.066 in ascending order.\nAnswer: -0.4, -1\/7, 0.066, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(-2\/13)*i*i*i\/i**(-2\/5)*i*i*i*i\/(i*i**(-6)) assuming i is positive.\nAnswer: i**(811\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*f + 68*f + f - 6*f.\nAnswer: 144*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*m + 8*h - 79, m - 49 = 4*h. Let p be (-2)\/1 - (-14 - -3). What is the remainder when 54 is divided by (p\/(-3))\/((-108)\/m + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -73210 (b) 4\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 681832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*o**4 - 1\/5*o**2 + 1\/5*o - 1\/5*o**3 + 0.\nAnswer: o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.106 + 2.329339.\nAnswer: 2.435339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26\/5 of a minute?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103212113 (base 4) in base 10?\nAnswer: 80279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3655, 0 in descending order.\nAnswer: 3655, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-3*n - 4*n + 5*n) + 3*n - n - 4*n + (-2*n + 3*n - 2*n)*(3 - 5 + 0) - 4 + 3*n + 4 to the form t*n + u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 2110763*a**2\/3 - 1113818501255*a\/3 - 12252258917459\/3.\nAnswer: -(a - 1055387)**2*(a + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen sevenths of a week?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/11, 7\/3, -15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 15)*1575\/(-2646) - 7.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-5) + 40529996\/1560)\/((-4)\/(-24)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -356*r. Let t(z) = 33*z**2 - 2. Calculate t(a(n)).\nAnswer: 4182288*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z + 7. Let c be y(-3). Suppose -c = 4*s + 3*d - 9, 5*s - 21 = -d. Suppose 27 - s = 2*m. Solve 4*v + 0*r - 2*r + 2 = 0, 3*v - 4*r = m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676496117.\nAnswer: 3, 173, 3230243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/2 + 7*s**2\/2 + 113*s\/2 + 105\/2 = 0. Calculate s.\nAnswer: -7, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 19 + 11 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4551 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**2\/7 + 88*z - 2930\/7.\nAnswer: -2*(z - 5)*(3*z - 293)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-40) + (4 - -2)\/(-12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5212 and 1.2.\nAnswer: 2.7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 390345*l**3*n**2 - 3*l**2*n**2 + 2*l**2*n - 2*l**2 + 301*n + 264 wrt l?\nAnswer: 2342070*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2*g**3\/39 - 3*g**2\/13 - 4*g\/13 - 8. Let w(y) = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003293192 to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 439632 and 139?\nAnswer: 61108848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuau when four letters picked without replacement from aaauuauuaaua?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*m = 24, -7 = -2*y + 2*m + 1. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -19. Suppose -9*h + i*h = 39. Suppose 2*j - h = -w, -w = 4*j + 3*w - 36. Solve -a - 2*k = j, -2*a - k = -6*k - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 z, and 1 t when three letters picked without replacement from {o: 3, t: 1, z: 3, r: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 3 + (1 + 2 - 4)*(1 + 3 - 7) - 4 + 2 + 1)*(-27*m**3 - 484*m + 484*m) as n*m + v + w*m**3 + h*m**2 and give w.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (180\/(-80))\/(21\/(-2240)) and 20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8442940?\nAnswer: 2, 5, 11, 38377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)\/((-2)\/(-2)). Let x be (0 + 3\/(-2))*(1 - 3). Sort g, x, 4 in ascending order.\nAnswer: g, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53704565.\nAnswer: 5, 10740913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927, 1885, 1841, 1795?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446594, 446591, 446588, 446585, 446582?\nAnswer: 446579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -206*w**3 + 2*w**2 + 3*w + 2. Suppose 3*g - 160 = -439. Let v = g + 92. Does 9 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 4820*z\/9 + 9632\/9.\nAnswer: 2*(z + 2)*(z + 2408)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i + 5*f = -104, -2*f = 8. Let g be (8\/14)\/((-12)\/i). Suppose g*p = -0*p. Is p greater than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-9))\/(1\/3). Suppose z - 5*m = l*z - 32, -z = -4*m + 4. Suppose 2*v + 2*v - z = 0. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 32*p**2 + 22*p**2 - p**3)*(0*p**2 - 2*p**2 + 3*p**2).\nAnswer: -p**5 - 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 19*h**2 - 19*h + 8. What is i(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -2*t + 3*t. Let z = t + 1430. Suppose -3*q = 5*q - z. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 270*c - 2350. Let m be b(-9). Let d(p) = -p - 1. Let w(i) = 2*i**3 + 8*i + 12. Calculate m*w(r) - 10*d(r).\nAnswer: -2*r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + -2.1. Let i = l - -0.7. Suppose 0 = w - 0 + 1. Is i bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 33, 47, 59, 69?\n\"Answer: -z**2 + 19*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 6:21 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*q = -128 + 21, -5*o + 2*q = -535. Suppose 0 = -5*b + o + 28. What is the highest common factor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*q**4 - 2218*g**2*q**2 + 52*g**2 - 8114*g with respect to q.\nAnswer: -4*g**2*q**3 - 4436*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by -7\nAnswer: -226\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16566\/(-13805)*-3*(-10)\/81?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3474*a**2*q**3 - 10698*a**2*q**2 + 3*a**2 wrt q?\nAnswer: 20844*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -11. Suppose -2*z = 3*z - 10. Sort t, 5, z in descending order.\nAnswer: 5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4440 and 1660?\nAnswer: 368520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1868*v**2 - 2249*v**2 - 264*v**2 + (0*v**2 + 2*v**2 - 4*v**2)*(2 + 2 - 5).\nAnswer: -4379*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*h = -101, 6*b - 5*b + 2*h - 46 = 0. Calculate the least common multiple of b and 300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 12:00 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 334, 307, 278, 247, 214, 179?\n\"Answer: -v**2 - 24*v + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -7*u - 3753 + 3741, 0 = -4*u - 0*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18*i**2 - 686*i - 67. Let b be z(-38). Let r(k) be the second derivative of -b*k - 3\/2*k**2 - 5\/6*k**3 + 0. Give r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -1.1, -100\/13, -3, -2\/3, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*s + 210 - 1025, s = 5*y + 259. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 4*d)*(-2*d + 0*d + 4*d) + 0*d**2 + 2*d**2 + 0*d**2 - 19*d**2 + 0*d**2 - 15*d**2 + 2*d**2 + 3*d - 3*d + 2*d**2 - 5*d**2 + 5*d**2.\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13457*1*-27*32\/(-864)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 77*g**3 - 2*g**2 + g. Let h be x(1). Let c be ((1125\/24)\/1)\/((-24)\/40). Let d = c + h. Calculate the common denominator of 79\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 511943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35909460 by 90.\nAnswer: -398994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z**2. Let k(b) be the second derivative of -b**4\/3 - 1555*b + 2. Let p(m) = -m**2 + 15*m - 15. Let s be p(12). Calculate s*k(h) - 6*j(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 704 = -20*l. Let c be ((-12)\/l)\/((-1194)\/(-8)). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 317. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960.77 micrometers in kilometers?\nAnswer: 0.00000596077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5821396 = -103*s - 5829842 for s.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*((-336)\/(-9))\/(-4). Suppose 0 = 2*y - 0*y - n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a - 6. Let q be k(4). Let j = q + -20. Calculate the remainder when j is divided by 0 - -3 - -6*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 + -527. Factor -1776*t + 1393*t**4 + 3800*t**2 - 2402*t**3 - 49*t**y + 127*t**3 + 288 - 1121*t**3 - 196*t**5.\nAnswer: -4*(t - 2)**3*(7*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207918423*y + 207918445*y - 9 - 2 + 11.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1966, 3937, 5908, 7879, 9850?\n\"Answer: 1971*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 400, 582, 764, 946, 1128?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337925702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:14 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 4 = 4*i. Let f(p) = -p**2 + 10*p - 15. Let j be f(i). Find the third derivative of 2*a**j - 2*a**6 + 11*a**2 + 2*a**6 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + 684bb?\nAnswer: 68470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**3 - 7*s + 6. Let v(x) = x**3 + 1. Let g(y) = -f(y) + 6*v(y). Find the second derivative of g(a) wrt a.\nAnswer: 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 19 + (-635 - -648) - 14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 - 2*k + 81. Let h(p) = p**2 + 7*p - 1. Give 2*h(t) + 2*o(t).\nAnswer: -2*t**3 + 10*t + 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 5*o + 6*o)*(-4*o - 5*o + 10*o + 5).\nAnswer: 6*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3 + 6 - 3 + k. Let s be 1\/4 + (-25)\/20. Let z(t) = 53 - 172 + 61 + 59. What is s*l(o) + 6*z(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*-5*1 - (sqrt(99) - (-1*sqrt(99) + sqrt(99))*-5))\/(1*sqrt(18)\/sqrt(2)*-2*5).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 736077*j**2. Let p(c) = -22*c. What is u(p(x))?\nAnswer: 356261268*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758*-0.067.\nAnswer: 50.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*r - 4 + 113*r + 116*r + 4.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1017\/13 + 19375\/247. What is the second smallest value in n, 2\/9, 2, -2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19671096 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63.7, 32, -4\/3, 0.68?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + 878234007913.1\nAnswer: 878234007914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379904146.\nAnswer: 2, 701, 270973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*w**4 + 3*b*w - 112262*b + 144*w**4 wrt w.\nAnswer: -4*b*w**3 + 3*b + 576*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sazs when four letters picked without replacement from {z: 6, a: 3, s: 3, j: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 8*r**2 - 8*r + 82. Let a(b) = b**3 - 3*b**2 - 3*b + 27. Let g = 3369 + -3372. Calculate g*q(j) + 8*a(j).\nAnswer: 2*j**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 172*q - 276 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:30 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -6*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6\/(-30))\/((-39)\/845).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 10:48 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dssg when four letters picked without replacement from {o: 2, d: 4, s: 2, g: 6, u: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v - 14. Let n(t) = 3*t**2 - 9*t + 7. Let y = -86 - -89. Let b be n(y). Let j be d(b). What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2 + 3*r + 10. Let a(o) = o**2 + o + 2. Give -4*a(l) + p(l).\nAnswer: 4*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(-5 + sqrt(100)\/sqrt(2) + sqrt(50) + (1*sqrt(550))\/sqrt(11)) + -1 + (0 + sqrt(4608))*6.\nAnswer: 21 + 213*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1275cb (base 14) to base 8.\nAnswer: 2330217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1083 - 107?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*a**3*t**3 - 158*a**2*t**3 - 4*a*t**3 + 13*a*t**2 - 2*a*t - 2 wrt a?\nAnswer: -888*a*t**3 - 316*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/1)\/((-28)\/154 + 24\/11). Solve 5*s - 4*a - 3 = 6*s, -5*s = m*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*j**4 - 1\/5*j**5 + 18\/5*j**2 + 3\/5*j**3 + 0*j.\nAnswer: -j**2*(j - 2)*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.478284 centimeters in meters?\nAnswer: 0.06478284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + -18 + 9 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*m - 14. What is the remainder when m is divided by (-138 - -126)\/(2\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = 176*u + 8 - 1907 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 181.572, 5.\nAnswer: 1, 5, 181.572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223\/4 + 56. What is the smallest value in 4, j, 1\/3, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92069.18 nanometers to millimeters.\nAnswer: 0.09206918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6384528 and 3888.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20567, 41147, 61741, 82349, 102971, 123607?\n\"Answer: 7*a**2 + 20559*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 10*i**2)*(3*i**2 + i**2 - 3*i**2).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k + 17. List the prime factors of p(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 52, 3\/8, 7077?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -15*k**3 + k**2 + 8*k - 7. Give p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}