diff --git "a/data/dm_maths/full_data_2/1755_11255.jsonl" "b/data/dm_maths/full_data_2/1755_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1755_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Evaluate 10*(796\/1791)\/(7\/(567\/15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 922849561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-45) - ((-196)\/35 - -6). Let x be -7*1\/3*6. Let n be (-90)\/(-21) + 4\/x. Which is the third biggest value? (a) 2 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = z - 6, 3*f = 2*f - 4*z + 9. Suppose 4*j = 8*j - 72. Suppose -43 + j = -5*y. Solve -4*c = 3*l - 0*c - 13, -y*c = -f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + (-81)\/(-45). Suppose z + z + 10 = 2*w, -y*z + 14 = 4*w. What are the prime factors of 3\/w*4 + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3773298 and 0.05146976.\nAnswer: -3773297.94853024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204) - sqrt(204))*-2 + sqrt(204))\/(sqrt(12) + (sqrt(240)\/sqrt(4))\/sqrt(5)) + -5 + (1*sqrt(1700)*1 + 1 + (1*sqrt(425) - sqrt(425)))**2.\nAnswer: 45*sqrt(17)\/2 + 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 164. Let x = 132.47 + z. Round x to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2432637155\/322 - 7554723. Let y be (-2168)\/46 - 2\/(-1). Let q = y + k. Calculate the common denominator of 41\/20 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -20\/27 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/721742 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 17*u**2 + 75*u - 59. Give h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26714.67g?\nAnswer: 26714670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-25)\/5 - 13)\/((-1)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.7 - 0.7. Let k = -8 + p. Sort 3\/8, 4\/3, k in decreasing order.\nAnswer: k, 4\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247399?\nAnswer: 71, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(720) - (sqrt(720) + sqrt(720)*-2)) + sqrt(720) + 3))**2 + ((sqrt(720) - sqrt(720)*-2)*-3)**2 + -4)*4*-4.\nAnswer: -1036880 - 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:22 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 4*n**2 + 5*n - 2. Let z be (1 - 10)*2\/(-3). Suppose 0 = -8*o + z*o + 12. Let t(m) = -4*m**3 + 5*m**2 - 6*m + 2. Calculate o*u(g) + 5*t(g).\nAnswer: -2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 117456 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*k - 540*k + 344*k + 85 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 381 and 0.022033?\nAnswer: 380.977967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/66 and 41\/91.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r*r**(-2\/13)*r)\/r))*r**(-7)*r*r*r*r*r)**46 assuming r is positive.\nAnswer: r**(-92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 28 - 28 - 2*a + 4*a. Let j(y) be the third derivative of -y**4\/8 + y**2. Calculate z(j(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 18, u: 2}. Give prob of sequence ur.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1580217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-24)) - (-3 + 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237\/395 + 81942\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 - 50*g**4 - 195*g**3 - 370*g**2 - 340*g - 120.\nAnswer: -5*(g + 1)*(g + 2)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -2*l. Suppose s = 14 - 4. Suppose s + l = 3*g. Solve y = -y - g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96175 = 116*y - 89215 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2\/10 - 2486*k\/5 - 142.\nAnswer: -(k + 710)*(7*k + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 575240221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -787*p - p**2 - 3*p**2 + 3*p**2 + 774*p to a*p**2 + m*p + l and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68568 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 - -192. Suppose 10 = 5*v - 5. Suppose 0 = v*b - s - 3. Solve -b = -2*l + l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -850, -849, -848?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:37 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181, -381, -581, -781?\n\"Answer: -200*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3764343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 848968*v - 2.\nAnswer: -848968*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 18, -0.1, 19, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-10)*2)\/(-1). Let u(q) = 9*q**2 - 6*q. Let y(x) = -4*x**2 + 3*x. Let o(a) = g*u(a) + 5*y(a). Let f(t) = -6*t**2 + 2*t. What is -3*f(j) - 2*o(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, 1\/30, 0, 0.3 in ascending order.\nAnswer: 0, 1\/30, 0.3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b - 2*b + (0 + 2 - 4)*(5*b - b - 3*b) - 5*b + 7 - 7)*(-1 + 1 - 1).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 18. Let b = 12 - d. Let j = 50.07 - b. Round j to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 642358561 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**3 - 763*z**2 + 5*z - 5. Let f(n) = 7*n**3 + 381*n**2 - 3*n + 3. Give 3*d(t) + 5*f(t).\nAnswer: -t**3 - 384*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - 2*a. Let v be j(0). Which is bigger: -3\/8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 60*q**2 + q. Calculate the remainder when r(1) is divided by (21\/9)\/(3\/27).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6239819*u = -6239782*u - 555 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330744863.93999903 + 330744862. Let d = i - -1.94. What is d rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 1, 5*f - o - 228 = 0. Let m = -31 + f. Let b = -17 + 34. Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (-4 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t + 0 + 0)*(-t**3 + t**3 + 3*t**3) + 4*t**4 + 2*t**4 - 4*t**4)*(-3*t - 2*t + 4*t + (4*t - 4*t - t)*(0 - 5 + 3)).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15414832.\nAnswer: 2, 963427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*l + 111, -3*l = -4*n - 28 + 112. Let p = -4 - l. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/((-1)\/4). Let h be 3*7\/21 - 5 - -3. Is 647\/t*h\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1968 and 74\/48297.\nAnswer: 31682832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b + 42. Calculate the remainder when v(0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -7, 2675?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6986, -5, -3, 274, 5 in decreasing order.\nAnswer: 6986, 274, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*1*(-4)\/(-10). What are the prime factors of (4 - 5)*(d + -17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898, 1930, 2970, 4018?\nAnswer: 5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 5:25 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24, 0, 14, 12, -12, -64?\n\"Answer: -f**3 + f**2 + 28*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475) - ((sqrt(475) + 1*sqrt(475) - sqrt(475))**2 + sqrt(475))).\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -531, 3, -0.49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltut when four letters picked without replacement from {p: 5, l: 3, g: 2, j: 2, u: 1, t: 6}.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and 4764013.\nAnswer: -128628351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-3 + 6))\/((-210)\/42). Which is the third smallest value? (a) -60 (b) -2\/17 (c) -1\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + ((-30)\/(-12) - 2). Suppose -3*b = s - 3, -4*s + 3*s - 5*b + l = 0. Suppose -s*n + 7*n = 73. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 + 2*l**2 + 7*l + 4 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {x: 2, c: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173512, 173513, 173514, 173515, 173516, 173517?\n\"Answer: m + 173511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 39. Calculate q(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0 - (-7 - -2)) + (-19 - -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**8\/224 + g**7\/35 + g**6\/20 + 39*g**2\/2 - 250. Let x(w) be the second derivative of f(w). Factor x(z).\nAnswer: 3*z**3*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10255643933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 320\/24 - 13 - (-224)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**5\/5 - 96*c**4 - 948*c**3\/5 + 6*c**2\/5 + 951*c\/5 + 474\/5 = 0.\nAnswer: -158, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1389 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*o**2 + 3*g**2*o*t**2 + g**2*o*t - 6*g**2*t**2 + 3758762*g*o**2*t**3 + 2240*g*o*t + 3*g*o - 2*t**3 wrt o.\nAnswer: 4*g**2 + 7517524*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2365042 (base 7) to base 3\nAnswer: 120100002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 144351185923?\nAnswer: 144351185924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -0.050099798.\nAnswer: -0.0701397172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 2 (c) -2.26 (d) -2.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 22*n**2 - 55*n - 175. What is w(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 24*h**2 + 41*h + 66.\nAnswer: (h - 22)*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42771820 divided by -8606?\nAnswer: 4970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66009498 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: (-10)\/70*35\/60*2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3244*o**4 - 2*o - 7079.\nAnswer: 12976*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128*-226.\nAnswer: -28928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**3 - 50*g**3 + 95*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 5678805*t**3 + 34072758*t**2 - 68145468*t + 45430296.\nAnswer: 3*(t - 1892929)*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + (-1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2\/4 - 85*z\/4 + 90 = 0. What is z?\nAnswer: 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/5)*y\/y**(3\/7)*y**(1\/4)*y**(1\/2)*(y**39)**(18\/7) assuming y is positive.\nAnswer: y**(14141\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 15. Let r = x + -1. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*p - 548, 0*p - 5*n - 726 = -4*p. What is the remainder when p is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/687 and 101\/18.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/12 + (2 - 3). Let s = -0.1 - -0.1. Let h = -389.6 + 389.8. Which is the closest to v? (a) s (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*d - 139 = 0, -2*w + 3*d + 96 = 7*d. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 134084309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 divided by 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297318835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) -3 (b) 9\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94997976 and 3433.\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 37\/116, 2, 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 342.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 12*y**3 - 12*y**3 + 14*y**3.\nAnswer: 14*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4091, 8201, 12311, 16421?\nAnswer: 20531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -8*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52724 and 116497444?\nAnswer: 7532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241517.\nAnswer: 241517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33136118?\nAnswer: 2, 41, 404099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/13 + 282\/26. Suppose -2*s + j*s = 11169. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = 0, -2*f + 41 = 4*u + 15. Suppose -6*g = -3*g + u. Let x(r) = -4*r - 1. What is x(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13692.05 + 13692. What is the fifth biggest value in -2\/9, g, 4\/3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.11 * -0.1.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5\/6, -5 in decreasing order.\nAnswer: -1\/3, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*((-2)\/30)\/((-8)\/(-24)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -54. Let g = -30 + j. Solve 2*l + g = 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 10. Let a be c(-7). Suppose -a*w - 14 = -4*w. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6174610 divided by 94994.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a45a - 8?\nAnswer: 1a452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/195, 0, 2\/17, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*q + 10. Suppose 5*d = -7*z + 2*z + 145, 127 = q*d - z. What is the greatest common divisor of d and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by (-29 + 14)*(-3)\/(-2)*(-2)\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056516 and 204.\nAnswer: 1056516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 3578, 0 in decreasing order.\nAnswer: 3578, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50547985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.8216g in tonnes?\nAnswer: 0.0005008216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*v + 255*v - 97 - 615 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 31*s - 52. Let f = -644 + 653. What is the remainder when d(f) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 + y**3\/6 - 9*y**2\/2 + y + 3. Let v = -2 + -1. Let w = v - -3. Calculate j(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 + a + 16. Let d(u) = u**2 + 3. Determine -2*b(x) + 11*d(x).\nAnswer: -x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 392 - 1237 = -5*t, i = 4. Sort t, 2\/7, 2, -4.\nAnswer: -4, 2\/7, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20553, -20555, -20557, -20559, -20561, -20563?\nAnswer: -20565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Let i = 6852 + -6561. Suppose -u*m - 1 = -4*m, -2*f + i = 3*m. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:52 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -498) + (-3)\/(-4 - -5).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -62*o**3 + 17*o**2 - 2*o + 3. Let c be u(-5). Let p be (c\/(-3))\/(8\/(-24)). Let v = -4612 - p. Round v to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4493.\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 15*j - 650.\nAnswer: 5*(j - 10)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10231915.\nAnswer: 5, 53, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u + 21. Let g be j(-1). Solve -4 = -2*k + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1749\/7524 - (-11 - 1834\/(-168)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7859 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + 746. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 2*x + 1. Let s(n) = n**2 + n + 1. Let c(b) = 6*s(b) - 2*u(b). Suppose c(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + -7 - (-6 - 13))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1121103 rounded to four decimal places?\nAnswer: 0.1121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7097?\nAnswer: 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiiiiiiufuiiifuii. Give prob of sequence ffi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 959*f**5*w**2 + 4*f**4*w**2 - f*w + 21*f - 2*w**2 - 2*w wrt f?\nAnswer: 19180*f**3*w**2 + 48*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 2*y + 2. Let l be f(2). Suppose -1 = l*m - 5. Let i(r) = 4*r + 2. Calculate the lowest common multiple of i(m) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3267527?\nAnswer: 43, 75989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(96)\/sqrt(4))\/sqrt(12)*-6)**2*2.\nAnswer: 96*sqrt(2) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 11, 41, 95, 179?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -18*b + 96. Let x be (-1)\/(-2) + 60\/b. Suppose -6 = -2*q - 2*a, q + 0*q - x*a = 15. Solve 5*t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 23*o**2 - 42*o + 2. Calculate l(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**2 + 5. Let u = -21 - -10. Let k = u - -15. Let t(j) = -3*j**2 + 2. Give k*h(x) - 11*t(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 4505\/20. Suppose 4*s + o = t, -2*s = -3*o + 20 - 115. What is the remainder when s is divided by (19\/(-4))\/(2\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/408 and 173\/120?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 2*x + 3. Let j be v(-3). Suppose -2*n = -j*n + 1160. What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 54*u + 44. Let n(g) = 1. Let j(i) = -i**2 + 3. Let d be j(-2). Let h(s) = d*a(s) - 6*n(s). Differentiate h(w) with respect to w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 34*t**3 - 3*t**2 + 3*t - 3. Let q(m) = -2923*m**3 + 259*m**2 - 259*m + 259. Give -6*q(y) - 518*w(y).\nAnswer: -74*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11675 = -5*b, 3*h + 3*b - 4715 = 6952. Suppose -3*c + 2334 = -26*g + 27*g, 5*c - 3*g = h. What are the prime factors of c?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.3. Suppose -2*r + 4*y - 12 = 0, -4*r = -9*r - 2*y + 54. Which is the third biggest value? (a) z (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.024 + 1.476. Let c = -2 + t. What is the biggest value in -6\/7, 1\/59, c?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. What is the units digit of 539\/22 + 2\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -816816*b + 3. Let f be d(4). Let u = f + 94737144\/29. Let y = u + 463. Is y greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 5*l - 5. Let u(m) = -2*m**2 - 2*m + 2. Let w(p) = -5*u(p) - 2*y(p). Let g(q) = 2*q. What is w(g(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 10) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - 9. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1960 - -1965. Solve -2*q - 4 = 0, -c*q - 4 + 10 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4\/7*u**5 - 4*u**2 + 0 + 36\/7*u**3 - 20\/7*u**4 + 8\/7*u = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -18 - -2 - (2 + -2)) + 32\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 5*o - o)*(-1 + 1 - 2*o) - 15*o + 22*o + 22*o - o**2.\nAnswer: -5*o**2 + 29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 33\/6)*(-20)\/125.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/4)*o*o**(3\/5)\/o*o)**1 assuming o is positive.\nAnswer: o**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -920.8 * -1704.\nAnswer: 1569043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j**2 + 17*j**2 - 502*j + 507*j + (-3*j + 0 + 0)*(-j - 3*j + 2*j).\nAnswer: 15*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (3 + -1) - -2. Suppose -2*o - s*y - 14 = 0, 0 = -0*o - 3*o - 3*y - 30. What are the prime factors of ((-9)\/(-2))\/((-9)\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 10*d**2 + 11*d + 23. Calculate the remainder when 51 is divided by i(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + -3 - (-3 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let t(g) = -175*g - 14. Let k(s) = 58*s + 5. Let x(u) = 11*k(u) + 4*t(u). What is x(q(j))?\nAnswer: -62*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213753094 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a56831 - 39?\nAnswer: -5a5686a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 7) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 513 (b) -2\/13 (c) -3295 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4888, 19474, 43768, 77764, 121456?\n\"Answer: -c**3 + 4860*c**2 + 13*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:04 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 2*h - 5*h = -54944. Calculate the lowest common multiple of 4 and h.\nAnswer: 6868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341041 - -240402?\nAnswer: 1131443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:58 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5575 - -5?\nAnswer: -5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -13*o**6\/6 - 3*o**5\/5 - o**4 - 2279*o**2 + 6186. Find the second derivative of m(h) wrt h.\nAnswer: -260*h**3 - 36*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 100 = -183 + 113 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-2448)\/13056.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = n - 32. What is the biggest value in n, -0.055, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggggggggggggoggg.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19*y + 160. Determine f(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, w: 6}. What is prob of picking 3 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 61. Suppose -4*s + 2*g = -180, 2*g - 7*g - 90 = -2*s. Suppose 2*y = k*y - 4*v - 19, 2*y = v + s. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 15 = 2*s, -74*s - 40 = 4*d - 78*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4597*t**2 + 9458*t**2 - 4588*t**2 - 1 to s*t**2 + i*t + a and give s.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - t + 14*t + 60, -141*l - t = 576 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102876321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q - 7. Let p(k) = 19*k - 15. Let f(u) = 9*n(u) - 4*p(u). Calculate f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 174 - 42 = 0. Suppose 5*h - k = -4*h. Suppose -1256 = -8*c + 3*c - x, h*c - 4*x - 498 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) 4 (c) -14324 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(5 + -13)*(1 + -2 - -52502) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34255.3 - 34257. Which is the fourth biggest value? (a) 4 (b) -6 (c) 3\/5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-1))\/l*l*l**5)\/(l*l**(-2\/3))**(-10))\/((l*l\/l**(-2\/3))**23)**(1\/11) assuming l is positive.\nAnswer: l**(190\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1016 (b) 27\/4 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 11*k**2 + 11*k. Let l be (-1)\/(2\/((-8)\/1)). Suppose -i = i - l. Let r(p) = -2*p**i - 2 - 2*p + 2. What is -11*r(w) - 2*y(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2. Let y(d) = 6*d + 16. Calculate o(y(b)).\nAnswer: 216*b**2 + 1152*b + 1536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*s + 116 = -0*s, 0 = -n - s + 36. Suppose 4*o - r = n, -3*o - 2*o + 62 = 4*r. What is the greatest common divisor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*w - 50, -5*a - 226*w + 104 = -221*w - 56 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -16. Let z be -9*(t\/(-3))\/5. Let b(m) = 3*m**2 - 2. Calculate b(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131 and 810890.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from {u: 1, m: 4, o: 1, h: 1, i: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o**3 - 72*o**2 - 94*o + 12 = 0 for o.\nAnswer: -1, 2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 5675 = -24*y + 2*s, -5*s - 2291 = -2*y. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Round -0.0003096 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 + -6 + -23 + 2538014. What is g rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974358?\nAnswer: 2, 3, 7, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**3 + 0 - 110*m + 0*m**2 + 2\/3*m**4. Let b(q) be the third derivative of -q**4\/6 + q**2. Determine d(b(s)).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(-1 + (-291)\/(-12) - 4). Suppose 2*o - a = -5*z, -z + 5*o + 39 = 2. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2168*c*g**2*y - 134*c*g**2 - 2*c*g*y + 899332*c*y + 9*g**2*y + g**2 - 41*g*y wrt g.\nAnswer: 4336*c*y - 268*c + 18*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 49. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {y: 4, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 9. Let j(b) = b + 9. Determine 2*j(u) - 3*m(u).\nAnswer: -u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253 + -213. What is the highest common factor of 200 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**2 - 16*z**2 - 8*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.40946 to 2 decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((5\/(-8))\/((-1674)\/(-4464))))\/(2\/(-90)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1126487 and -1126609 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21881 - 3687. What are the prime factors of l?\nAnswer: 2, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdbdbbbssddsbsbbddd. What is prob of picking 2 s and 1 b?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-12) + 96\/36 + (-16)\/12\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2 + 56*g + 44. Let m = -11 + -21. Let r(y) = -y**2 - 5*y - 4. Suppose 6 - 3 = -b. Let q(d) = b*a(d) + m*r(d). Suppose q(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/20 - m**4\/12 + m**3\/6 + 115*m**2 + 3*m. Let o be g(0). Suppose 6*s + o = 2*b + s, 3*s = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 30\/(-9))*(-2016)\/(-42)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 20016*r\/5 + 20014\/5.\nAnswer: 2*(r - 10007)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 40. Let y = h - 1. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*g + 48*g**4 + 39*g**4 - 38*g**4 wrt g?\nAnswer: 588*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1069179376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 149.5. Which is the biggest value? (a) -3 (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -2*g + 12, -3*s = g - 7. Suppose 5*x - 84 = g*p, x = 3*x + 5*p - 27. Suppose -8 = 2*n, 0 = -4*y - 0*y + 5*n + x. Is -2\/53 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and -125\/3234.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.55 rounded to 1 dp?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4 - 8 + m + 13. Let c(b) = 5*b + 8. Let n(t) = -c(t) + 4*h(t). Let z be n(-8). Solve -2*l = 5*f + 24, -f - z = -2*l + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/13 + 35\/78. Let h be 3\/36 + 21\/36. What is the closest to -0.2 in -2, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236119 by 4.\nAnswer: -236119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-35) + 34\/10. Sort -0.3, c, -5 in decreasing order.\nAnswer: c, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(42)\/sqrt(3) + sqrt(14)))\/(sqrt(2) - (sqrt(48) + sqrt(12))\/sqrt(6)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**3 + 15*s**3 - 4*s**4 + (-3*s**2 - 1 + 1)*(3*s**2 + 2*s**2 - 3*s**2) in the form c*s**4 + r + j*s**3 + f*s + k*s**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -5*b + 534, -5*b + 566 = -4*y. Calculate the least common multiple of b and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/9, 2\/17, 4 in increasing order.\nAnswer: -5, 1\/9, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13933 is divided by 705?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - 3. Let f be (3 + 0)\/(-3)*0. Which is the closest to 1? (a) -4 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101 - -1010?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3460088*c**3 - 685448 wrt c?\nAnswer: 10380264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/((-7)\/(-12607)). Let m = 2543 - q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5996771\/391 + -15337. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 189*n**2 - 567567*n + 84043575 = 0. Calculate n.\nAnswer: -525, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*k - 30 = 0, -17 = -3*i + 4*k + 35. Let o = -10 + i. Which is smaller: 9 or o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 2*a**4 + 0*a + (-2 + 2 - 1)*(27*a**3 + 21*a**3 - 19*a**3)*(a - a - 2*a).\nAnswer: 56*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -1. Let c = 0.6 + -1. Let v be (-3 + 4 + 0)\/3. What is the closest to j in v, 2\/17, c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 18. Let w = -7.38 + x. Let z = 0.12 - w. Which is the biggest value? (a) z (b) 2\/9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13730 - -21686. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/9 (c) -166 (d) -1\/2 (e) -12751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(1 + -4). Let w be (4\/8 - 1)\/(5\/(-40)). Suppose -w*y - u + 1 = -0, -2*u = 5*y + 1. What is the closest to y in b, 5, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4, 2*y + 3*n - 5*n = 228. Solve -112*s + 18 = -y*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54492\/23 - -565449\/184. Let q = p + -692. Find the common denominator of q and -10\/23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*(-484)\/22385*(-5)\/(-178).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-28 - -21) - 54.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1 - 18\/17) - -4. Find the second derivative of -17*j**2 - 5*j**2 + 38*j + j**3 - j + f*j wrt j.\nAnswer: 6*j - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 30 = 2*n, n + 5 = -0*n. What is the second derivative of -5*q**5 + 3*q**5 - 5*q**5 - q**x - 4*q wrt q?\nAnswer: -160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*x - 19422. Let w be (1\/(-1))\/(-2 + (-6477)\/x). Let u = 206 - w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4281 is divided by 267.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822 + 2822 + 26*j**3.\nAnswer: 26*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yynn when four letters picked without replacement from yyynnnnyyn?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*h + 11, w - 3*h - 2 = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 305 - 1173\/4. What is the common denominator of -2 + (156\/(-14))\/(-2) and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2598.936l to millilitres.\nAnswer: 2598936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997200*c**2 - 6*c - 24*c + 30*c.\nAnswer: -997200*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1 + 4 = 0. What is the smallest value in 4, 0.1, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6*v + 4601, -367*g + 371*g = -4*v + 3084. Let d(f) = 18*f**3 - 2*f**2 - f - 2. Let p be d(-3). Let r = v + p. What are the prime factors of r?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.386304354 rounded to 3 decimal places?\nAnswer: -0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100001 + 11?\nAnswer: -1011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9dc (base 16) to base 7.\nAnswer: -10234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 13*r + 60 = 3*y - 19*r, 0 = -2*r - 38 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*(h*h\/(h*h**(-7)*h))\/h)*h)**(-9)*h**(1\/17)\/h**19 assuming h is positive.\nAnswer: h**(290\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26 - 5)\/(-7) + 8. Solve 4*u + 36 = -c*y, 5*y - 6*u + 2*u + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79895 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.409 in 0.32, -0.5, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 1759149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -71, -70?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3239 (base 14) to base 7.\nAnswer: 34202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 - 0. Let t(q) = -q**3 + 2*q**2 - q - 1. Let r be t(f). Round r to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-16\/5)*(s*s**(-3))\/s*((((s*s\/(s\/s**(-2\/11)))\/s)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(-252\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 5786?\nAnswer: -5785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030855 minus -1.87?\nAnswer: -4030853.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2\/15*k**3 - 5 - 1\/10*k**4 + 1\/30*k**6 + 1\/25*k**5 + 1\/5*k + 1\/10*k**2. Factor l(d).\nAnswer: (d - 1)**2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 1984)\/(-5) - (-8 - -13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 690, 1378, 2066, 2754, 3442?\n\"Answer: 688*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-50)*(f\/f**(-1\/2))\/((f*f**(-3))\/f)*(f**(-3\/5)\/(f\/(f\/f**(-2)*f)))**44 assuming f is positive.\nAnswer: f**(601\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96236, 192476, 288716?\nAnswer: 384956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22117*q - 21792*q - 13975 = 0 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 88 + m - 6*m - 122 + 10*m. Let g(a) = 3*a - 17. Give -4*b(y) + 7*g(y).\nAnswer: y + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (45 + (34 - 101))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9791032*w + 9791030*w - 29373100*w + 9791029*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 955, 1911, 2869, 3829, 4791?\n\"Answer: r**2 + 953*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - (-22)\/4. Suppose -1 - 213 = -5*d - 2*o, n*d + 3*o = 211. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/141? (a) 3\/5 (b) -1 (c) 0.2 (d) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778588.\nAnswer: 2, 194647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 3*i**2 + 4*i + 12. Let u(a) = 5*a**3 + 7*a**2 + 7*a + 23. Let s(b) = -7*d(b) + 4*u(b). What is s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 2*z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 18*x + 5*c - 7 = 0, 7*x + 0*c + 82 = -3*c + 5*c for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 44*g**2 + 73*g + 1296. Determine n(-43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -76\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7084224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2 (c) -0.4 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 - b - 9. Let z be ((-15)\/20 - -1)*0. Give t(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8 + 60. Suppose -31 - g = -5*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2217*r - 66429 = 2206*r. List the prime factors of r.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 72*t**2 - 1652*t**3 - 40*t + 10*t**2 + 4*t**2 + 553*t**3. Let w be n(40). Round w to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2738*c + 6. Let t(w) = -84*w - 1. Determine t(q(g)).\nAnswer: -229992*g - 505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 + 5*u + 6. Let q(x) = -x**2 + 17*x - 73. Let p be q(10). Give b(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -u + 4*v, -157*u + v = -159*u + 210. What is the remainder when 226 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 32, 36, 44, 62, 96?\n\"Answer: i**3 - 7*i**2 + 20*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 614614 and 175604.\nAnswer: 1229228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -89*v + 1 + 89*v - 2 + 7*v**3. Let m(o) = o**3. Suppose -5*x = -5*i + 30, 4*x - 6 = -12*i + 10*i. What is x*b(w) + 6*m(w)?\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 13 (b) -69 (c) -5 (d) 3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 11*c + 102 = 0, 2*c = 14*m - 34 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6867*b**4 - 6817*b**4 + 12*b**2 - 3*b + b + 689 + 2*b wrt b.\nAnswer: 200*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19025 - 15933. What is the remainder when n is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493667 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1)*(-4)\/12. Suppose 4*g - 3*s + 35 = t, -2*s = -3*g - 6*s - 45. Is g less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1775990161?\nAnswer: 11, 101, 1598551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1786\/57 + ((-16)\/10 - 10\/25). Factor n*z + 76\/3*z**2 + 16\/3 - 200\/3*z**4 + 250\/3*z**5 - 230\/3*z**3.\nAnswer: 2*(z - 1)**2*(5*z + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and (7\/4 + -1)\/(9\/(-63))*-24.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 30*q**2 - 98*q - 13. Determine z(-33).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11780 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 19. Let h = 8.999999 - b. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3175 - 11355?\nAnswer: -6160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4979129cm in meters?\nAnswer: 0.004979129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16146288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.2, -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:38 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Does 14 divide 1 + 3 + 20 + b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6658 (base 11) to base 16.\nAnswer: -74867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 10*s - 2*q = 2, -3*q = -8*s + 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 9818 + 4542 = -344*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98120 and 6244?\nAnswer: 686840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 4*k**2 - k**2 + (-k**2 + 1 - 1)*((0 - 3 + 2)*(1 - 5 - 7) - 2 + 4 - 3).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -9623?\nAnswer: 2\/9623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.606 + -31.694. Let n = -31 - p. Let s = 243.2 + -243.4. What is the closest to 0 in s, -5, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238.5 - -26.5. Let k = m - 265.4. Which is the third smallest value? (a) k (b) -5 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 11. Let z be f(8). Suppose -4*b - z*l + 42 = -3*l, l = b - 12. What is the least common multiple of b and 1\/(-3 - (-38)\/12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1\/(-1) - ((-846)\/(-21) - 38).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 29*x**2 - 376*x - 521. Give r(39).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -39*z**3 - 2*z**2 - 3*z. Let x(m) = 77*m**3 + 5*m**2 + 6*m. Give 5*u(j) + 2*x(j).\nAnswer: -41*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/((-1)\/3). Let g be 6*1 + 25*(-6)\/45. Find l such that 4*l - 16\/3*l**3 - g*l**2 + 0*l**b + 8\/3 + 4\/3*l**5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/19546 and -33\/7859?\nAnswer: 5296966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 7) to base 12\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from 0.2405980554.\nAnswer: -42.7594019446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*v - 5*g, 5*g - 7 = -24*v - 20 - 36 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 - 2*p**4 + 2*p**4)*(4*p - 6*p + p) - 2*p**5 + 2*p**3 - 2*p**3 + (-12*p**2 - 77 + 77)*(0*p**3 - 4*p**3 + p**3).\nAnswer: 37*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-828)\/184*24\/(-27). Solve 35*k - 32*k = 5*a + 5, 0 = 2*a - s*k + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-115)\/(-25) + 2\/5. Suppose -2*w = 3*x + g, -w - x = x + 2. Let v be w\/(-18) + 102\/27. Solve -5*k + 3*s - 4 = -10*k, -k = -s + v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a, a = 34*q - 29*q - 213185. List the prime factors of q.\nAnswer: 7, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, u: 3, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24503c - -3?\nAnswer: -245039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -65. Is (1\/(-3))\/(o\/4635) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6155, 6167, 6181, 6197, 6215, 6235, 6257?\n\"Answer: x**2 + 9*x + 6145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 2. Let p(b) = -b**2 + b - 4. Let m be p(0). Let c(y) = -y**3 - 4*y**2 - 2*y + 1. Let w be c(m). Let j(f) = f + 27 - w - 18. Give 4*j(q) - n(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -86. Let q(p) = -8*p - 1. Determine q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1742\/(-9581)*22\/(-16). Factor 1\/4*t + 3\/4*t**3 + 0 + f*t**4 + 3\/4*t**2.\nAnswer: t*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -122, -427, -1020, -1997, -3454, -5487, -8192?\nAnswer: -11665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24d160d + 2?\nAnswer: 24d160f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 49 = 51. Let j(h) = -h**2 - 7*h + 12. Let o be j(-8). Sort 0, o, a.\nAnswer: 0, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, s: 2}. What is prob of sequence zzsz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 3*z + 15, -2*h + 3*z = 149. Let t be (-8)\/h*(14\/4 - 1). Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64 + 343)*(0 + 2\/6). Calculate the greatest common factor of n and 713.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(0 - (-2)\/(-10)). Let o be (-1)\/((-1)\/(-2) - 1). Suppose -o*j + 0*j + 8 = 0. Sort 2, k, j.\nAnswer: k, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1\/12, -2\/9, -1044, 0.3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:09 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18760 + -18756. Solve s*h - 6 - 14 = 0, -4*t = -h + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1109?\nAnswer: 5545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -599*b**5 + 502*b**3 - b**2 + 234419*b - 6.\nAnswer: -11980*b**3 + 3012*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2765 and 173405?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 4. Let v = 25 + -29. Is 7 - (-3)\/(y\/v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -5*q + 86. Let s = 47 + q. Is (603\/12)\/(3\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*d - 36 - 44 = 0, -4*j + 3*d + 104 = 0. What is the remainder when j is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2496011 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760\/(-528)*(-6)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-90)*(-48)\/264?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4643421 and 1.\nAnswer: -4643421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19777.55kg to micrograms.\nAnswer: 19777550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40066, -66269, -92472?\nAnswer: -118675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 128*p - 309. Calculate c(64).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n - 2. Let o(b) = -39*b - 9. Let y(k) = -2*o(k) + 9*x(k). Let q be y(1). Let t be 2\/(-12) - 2\/q. Is t greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1024)\/240*3 + (-78)\/(-65) + 12\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152034 is divided by 926.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -21*v + 3\/14*v**4 + 0*v**2 + 0 + 1\/105*v**6 + 0*v**3 - 3\/35*v**5. Factor p(n).\nAnswer: 2*n**2*(n - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31909408 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47011*j**3 - 17480*j**2?\nAnswer: -282066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from tsttitsrirnstrnt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213508899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 6751920468580784*m**2 + 6751920468580784*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 19*p**2 + 8*p - 4*p + 14 - 14.\nAnswer: -8*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 - v - 213. Let r be t(0). Round r to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 69. Let p = -34 - r. Find the second derivative of 3*d + 5*d**2 - 17*d - 4*d + p*d wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-1 + -24)\/(-1). Let z = -7 - m. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcf when three letters picked without replacement from {f: 1, c: 12, w: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.2 - 66. Let g = p + -6. Let w = 3 + 1. Which is the biggest value? (a) g (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.0207 + 0.0207. Sort 0.4, d, 1.7, -2 in descending order.\nAnswer: 1.7, 0.4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2719392 and 25834224?\nAnswer: 51668448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4877832 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 5*n**2 - 1614*n + 8066. Give w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 4*z**2 + 15*z + 24. Let m be j(-2). What is the units digit of -3*(-60)\/(-27)*33\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -21. Let d = 10.6 + f. Let y = d + -2. Put 11, 0.5, y in descending order.\nAnswer: 11, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:28 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {d: 2, s: 4, g: 2, x: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 7*b**2 + 24*b - 48. Calculate t(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100595 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -4.1, 0.06?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/43691 + -5025257\/8650818. Find the common denominator of -55\/2 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21783)\/(-6))\/((-1014)\/(-4)). Let r = t + 2\/169. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -30*f**3 + 2*f**2 - 38*f - 26. Is 83 a factor of x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(1938\/(-153)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 449092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -962 and 652295.\nAnswer: -627507790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 4, 1\/3, 0.4, -100, 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (((0 + sqrt(300))**2 + -5 - sqrt(300)) + -4 - (2 + sqrt(300)*-2 - (0 + 1*sqrt(300)))**2).\nAnswer: -2422 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27350378150 + 465\nAnswer: -27350377685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/63)\/((-2)\/4*(-28)\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/159 - -155\/636. Let k(x) be the first derivative of 0*x**3 - 2 + 0*x + s*x**4 - 1\/2*x**2. Find the second derivative of k(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 10*m**2 + 7*m + 4. Suppose 404 = 5*k + 84. Calculate the remainder when k is divided by i(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/937 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.127, 4, 0.01, -2, -5?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1843*h**3*s - 4*h**2*s + 27*h**2 - 5 wrt h?\nAnswer: 11058*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 4*a + 4. Let i be 1*21*(10\/3 + -3). Suppose -8*r + i = 55. Give o(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 5*d**2 - 7*d + 7. Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafbbfbvbv. What is prob of picking 1 f and 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 - -222. Suppose 2*r = 2*l + 30, -t*l - 30 = -2*r - 4*l. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55676, 101063, 146460, 191873, 237308, 282771?\n\"Answer: y**3 - y**2 + 45383*y + 10293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112.3 and 0.4.\nAnswer: -44.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - ((68 - 77) + -40)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 113*u**2 + 9*u**3 - 227*u**2 + 0*u + u + 115*u**2 to p*u + m*u**2 + o + x*u**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17778 is divided by 5852?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*w + 96, -3*k - 4*w = k - 96. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1224 and 1440.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 3121 + 3869. What are the prime factors of i?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 85 = -129 - 148 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.6813.\nAnswer: -1.3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*20\/(-960))\/((-1)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134171 + -3?\nAnswer: 134166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -2*l. Let f be 49\/13 + (l - 5). Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4358 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:44 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-6) + 3 - (-363)\/9. What is the highest common factor of 100 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a5c0a - 25?\nAnswer: 2a5bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j + 5. Suppose 6*v - 3*r + 14 = v, -3*v + 2*r = 9. Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 - 2. Let z be p(-2). Let g(o) be the first derivative of -1\/4*o**4 - 2 + 1\/3*o**3 + 1\/2*o**2 - 2*o. Determine g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 382 = 1258. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 33*g - 490. Let a be y(15). Solve -5*x + 10 = 5*b, a*x + 4*b = 2*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 13*o**2 + 157*o - 3827. Calculate d(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 98 = 3*t, -5*i + 19 + 34 = -3*t. Let n = -50 + 26. Let o = n - t. Solve -o*r + 26 = -4*c, -2*c - c - 18 = -r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6203714 * 106\nAnswer: -657593684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43521 + -215418\/5. Let j = p - 438. What is the nearest to j in 0, -4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 0 + 4 + p**3 + 2*p**2 + 5*p - 5 to the form g*p + d + z*p**2 + i*p**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -9 (c) -3 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41048397 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844519 plus -2451?\nAnswer: 2842068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3811 + -1794. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-914 - -922) + (-3 - -19)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 281742.9 microseconds?\nAnswer: 0.004695715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*a = -37 - 73. Let n(v) = -20*v**3 + 2*v. Calculate n(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13730 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -41, -3, -7 in decreasing order.\nAnswer: 11, -3, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*r**3 + 84855*r**2 + 4*r + 42322351 with respect to r.\nAnswer: 36*r**2 + 169710*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 + 64*s**2\/3 - 3965*s\/6 - 4225\/3.\nAnswer: -(s - 65)**2*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/21 - (-2140)\/(-14). Let c = w - -220. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 981511696 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, c: 1}. What is prob of sequence dcd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*j - 67698, -12*j + 16*j - 135384 = 5*r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/35 + 1\/210. Let k = -4 - -3.7. Which is the closest to k? (a) q (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-54)\/30) - -8. Let 0*p**4 + 0*p**4 + 119839*p**3 + 3*p**5 - 119851*p**w = 0. What is p?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 24, 4 in descending order.\nAnswer: 24, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8822 and 176.\nAnswer: 70576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 8 + 6)*(-2*w**3 + 3*w**3 + 0*w**3 + 2*w**3 + 0*w**3 - 5*w**3 + (0 + 0 + 3*w**2)*(-3*w + 5*w - 3*w)).\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4891447 decades to millennia.\nAnswer: 0.004891447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(33) + (3*sqrt(297) - sqrt(33)) + sqrt(297)\/sqrt(81))\/(1*sqrt(539) + 1*(sqrt(11) + -3*sqrt(11) + sqrt(11))))**2.\nAnswer: 331\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 65, 8, -159.6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131876231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257369 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-60)*8)\/(4\/(-50)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - 3*n**2 + 0*n**2)*(-29*n + 20*n + 58*n) + (2*n**2 - n**2 + n**2)*(3*n - 4*n + 3*n) to the form c*n**2 + i*n + r*n**3 + s and give r.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 2 = 4*w + 9*o, -1003*w + 1002*w - 4*o - 19 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069448 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*f**3 + 14*c**2*f**2 - 3349*c**2*f - 192366087*c*f**3 - 4*c*f**2 + 2*c*f + f**3 + 7*f**2 - 2 wrt f.\nAnswer: -12*c**2 - 1154196522*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1917 and 345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 978, 987, 996?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 21*s**2 - 48*s - 10. Let q be u(-19). Let y = 364 - q. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 162820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from nwwwxnrrrwwwn?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 107 = -87 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 653663.8 litres?\nAnswer: 653663800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 - 182. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let y(m) be the second derivative of 0*m**2 + 0 + 2*m + 0*m**3 + 1\/6*m**4. Calculate y(q(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2) + (2 - 1). List the prime factors of ((-3)\/(-5) + n)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) 0 (b) 9.9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607412.8 decades in millennia?\nAnswer: 6074.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-70) - 210*(-10)\/8. Does g = 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4858*t + 131124 + 296380 = 0 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318 - -5404\/17. What is the biggest value in t, -5\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((1\/(-1))\/((-10)\/(-50))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12432 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 10 = 5*n + 2*x, -7 = -n - 2*x. Let b(j) = j**3 - 3*j - 1. Let a(c) = c**2 + 1. Let l(o) = n*b(o) - 3*a(o). Calculate l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -k - 5*b, -b + 242493 = -4*k + 242507 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164082 and 4953374.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-1\/4)\/y)\/y)*y*y*y)**(-19)\/((y*y*y**(4\/9)*y)\/(y**(-1\/14)\/y)) assuming y is positive.\nAnswer: y**(-26275\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.92 + 2.32. Sort -2, l, -3, -88.\nAnswer: -88, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) + (-34)\/(-8). Suppose 4*g - 5*f - 400 = -g, -w*g + 321 = -3*f. Calculate the remainder when 26 is divided by g\/6 + 2\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 450. Suppose -4*b + 2*b - r = 0. Let c be (-3)\/5 - 12\/b. What is the closest to c in -0.3, -2\/9, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10874291?\nAnswer: 157, 69263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-470 - -414) + -15 + -35?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 1. Let j(f) = -20*f + 15. Let y = 4752 - 4677. Calculate y*p(b) - 5*j(b).\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qssssnsssssxssssx. What is prob of picking 2 x, 1 q, and 1 n?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 350*m + 23. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/696501 and 70\/9.\nAnswer: 696501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 r when four letters picked without replacement from {k: 5, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose -5*a + 1 = -3*l, -3*a - 1 = -x*l - 0*a. Suppose -l + 3 = t + 4*w, 5*t + 2*w = 47. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*x - 67*x - 252. Solve -x = 2*b - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110100 - 1?\nAnswer: 1110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9010\/119 + (-2)\/(-7). Suppose 5*b - k - 59 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278 is divided by 92?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132221132 (base 5) to base 11\nAnswer: -4138a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*t = 18, 2*u + 4*t = 35552 - 35528 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45516559, -45516560, -45516561?\nAnswer: -45516562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g + 2 - 10 - 1. What are the prime factors of q(-6)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*n**2*w + 22*c**2*n - 9*c**2*w - 2*c*n**2*w + 8*c*n*w + 27*c*n + c*w wrt c.\nAnswer: -2*n**2*w + 44*n - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*y + 115762 - 43602 = 0, 4*g + 2*y = 144304. List the prime factors of g.\nAnswer: 2, 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 154*h**3 - 6*h**2 - 9*h + 6. Let t be v(6). What is t rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021101 - -102022021?\nAnswer: 110120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619062 = -84*n + 393222. Is 39 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6 - 2*n**4 - 8047*n**3 + 13*n**2 + 1031*n wrt n.\nAnswer: -240*n**3 - 48*n - 48282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*-6*sqrt(66)*-3)\/(sqrt(864)\/sqrt(9) - (sqrt(216) - (sqrt(216)*-1 + sqrt(216) + sqrt(216) - sqrt(216) - sqrt(216)))).\nAnswer: -9*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l. Let u be (l - -1)\/((-2)\/(-8)). Let f = -22 - -29. Solve f + 13 = u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 588731, 1177458, 1766183, 2354906, 2943627, 3532346?\n\"Answer: -m**2 + 588730*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -40828, -651 in decreasing order.\nAnswer: 4, -7, -651, -40828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -109\/35, -6\/5, -0.14, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0.049, 6, 0, 2\/421 in decreasing order.\nAnswer: 6, 0.049, 2\/421, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 12, -36 = 3*r - j - 4*j. Let b(d) = d**3 - 2*d**2 - 20*d + 76. Let o be b(5). Suppose -46*n + o*n = -35. Is r less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 17*h + 9. Let i(o) = -5*o + 2*o - o**2 + 7*o + 0*o - 2. What is -18*i(q) - 4*k(q)?\nAnswer: 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:25 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13634 = -12*i - 12710. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 42 = 38 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148418?\nAnswer: 2, 74209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531818775340 - 5?\nAnswer: -1531818775345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 - -152. What is the second smallest value in 4, -1, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196698205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1103 - -2196\/5515. Let o = 6\/289 - -548\/1445. Find a, given that 2\/5*a - o*a**4 + 2\/5*a**2 + 0 - r*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2\/11 - 22182*a\/11 + 13893012\/11.\nAnswer: 6*(a - 2898)*(a - 799)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 198.975212 and 0.5.\nAnswer: 199.475212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/65 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 5, w: 2, v: 2, p: 2, r: 2}. What is prob of sequence vmw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l - 34*l + 5*l + 6*l + 26 + 3*l**2 + 9*l in the form t*l**2 + n*l + b and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -31 - (1 - -3 - (38 + -30))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - 26*z**3 + 5*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9541 by -28.\nAnswer: -1363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71697*h = 71713*h - 128 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.1 + -27. Let l = 23.83 + -23.33. What is the second smallest value in l, a, -1\/2, -15\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.08 - 0.68. Let q = -5 + y. Let i = -1 + -2. Which is the third biggest value? (a) -0.1 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 9*x - 12. Let d be o(-6). Solve d*s - 2*s = 3*p + 19, -4*s + 21 = -5*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 19 + 4)*(1 - 1 + 2*o - o + 5*o - 2*o + (0 - 5 + 6)*(1 - 1 + o) - 3*o + o + 0*o - 8*o + 63 - 63) in the form y + q*o and give q.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((6 - (-4 + 13) - (5 + -13)) + -13)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1581)\/(-155) + 2\/(-10) + (-7 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -831*l**2 + 412*l**2 + 76*l + 417*l**2 to the form c + i*l + t*l**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*d + 2)*(-12 + 7 + 7)*(0*d**2 - 5*d**2 + 4*d**2)*((-2 + 2*d + 2)*(6*d - 5*d + d) - 2*d**2 + 0*d**2 - 5*d**2).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18239 and 0.5?\nAnswer: 9119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -4, -2\/7, -3, 5\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121\/(-22)*-42 - (-8 - -1) is divided by 117.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26552300.3 and -0.30732.\nAnswer: 26552299.99268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20264 by -17.\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107134 + 3.\nAnswer: -107131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21534 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3625429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -t - 38, 12*p + 43 - 21 = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*m**2 - 2075*m + 5*m**3 + 1015*m + 1007*m + (2*m**2 - 3*m**2 + 2*m**2)*(-5*m + 3*m + m).\nAnswer: 4*m**3 + 4*m**2 - 53*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.31. Suppose -12*d = -10*d - 4*n, 0 = -2*d + 2*n - 2. Put 4, -0.1, i, d in decreasing order.\nAnswer: 4, i, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, e: 3}. Give prob of sequence ccc.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -31*c + 28*c. Let d(h) = 4*h**2 - 4*h + 97. Let i(b) = -5*b**2 + 5*b - 99. Let r(f) = c*i(f) - 3*d(f). Differentiate r(l) wrt l.\nAnswer: 16*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 35*y - 108. Calculate x(-23).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/170*20\/(-15))\/(5\/45).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2 + 79416*x - 2423488.\nAnswer: 2*(x + 7972)*(5*x - 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 44. Let d = n - -55. Suppose c = 2*c - d. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11540693 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4 = 2*y. Suppose m = -y - 1. Is 13 a factor of m\/(-2)*88\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-90)*(-6)\/4 + 104482\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udtc when four letters picked without replacement from ccdbunt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-210)\/9. Let r = 28 + u. Suppose 3 - 15 = r*j. Sort 5\/4, j, 4 in increasing order.\nAnswer: j, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 31*y**2 + 191*y + 21. Let c be 22\/8 + -3 - (-174)\/(-8). Does 7 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -1\/24*m**4 + 1\/2*m**3 + 0*m + 4*m**2 + 0. Let y = -6 + 12. What is r(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*c = -39, 4*c = -6*r + 2*r + 20. Suppose w = -r*w. Suppose 2*x = -w*x + 42. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9571747.7286 and 6731.\nAnswer: 9578478.7286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*j - 2*f, -2*j + f - 10 = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 30, -2\/7, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1076 (c) -2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-6 - (-96)\/15)\/(2\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594704 divided by 37169?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -9*b - 26. Let d = -11 - -23. Solve b*i - d = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6329240 by -5.\nAnswer: -1265848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1949900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19379216 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 2*i - 7. Let g(u) = -u. Let r be (-27)\/(-18)*2\/3. Let j(y) = r*f(y) + 4*g(y). Let k(l) be the first derivative of j(l). Calculate k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 5\/8 (c) -2 (d) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5020 and 10.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58566674 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199362405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-230)\/(-276)*56\/10. Let c(a) be the first derivative of 7\/2*a**4 - 6 + u*a**3 + 0*a + 0*a**2. What is the third derivative of c(p) wrt p?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (4 - -1 - 2). Suppose 0 = -3*i - g*u - 0 + 6, -3*u + 4 = 2*i. Let c(x) = x**2 - 3*x + 1. Let n be c(i). Which is bigger: 1\/7 or n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53d455 (base 16) to base 8\nAnswer: 24752125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -16. Suppose 2*k = h*k. Solve -2*p - 3*p + 5 = k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(0 + 1) + 0. Let w be q\/7 - 32\/(-14). Suppose -2 - w = -4*k. Solve k = t + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -187646 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5866 by 53088.\nAnswer: -419\/3792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:15 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-22)*239\/(223704\/(-208))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 63*u**2 - 126*u - 522. What is the remainder when g(-4) is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*s - 4765*s + 786*s + 823*s + 792*s + 787*s + 784*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y + 1. Let x be p(5). Suppose d = -3*d + x. Let t = 63 - d. Calculate the highest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 504053441 and 0?\nAnswer: 504053441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 69*g**2 + 66*g - 34. Is f(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-7)\/(2163\/(-12)))*12*-44?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**3 + m**2 - 4*m + 3. Give x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/10)\/(180\/(-450)). Solve 0 = -k*d + 11*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 75\/1094, -10\/11, -2\/9?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-6)\/(-4))\/1)\/(2\/(-1076)). Let x = s + 1207. What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhzzhhzzzzzz. What is prob of sequence zh?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 5*z + 7. Let y(o) = -6*o**2 - 5*o - 4*o - 8 + 3*o. Calculate -7*x(v) - 6*y(v).\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 19647260\nAnswer: -1\/19647260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 25*h**3 - 123*h**2 - 3. Let d(g) = 26*g**3 - 125*g**2 - 4. Let r(s) = -3*d(s) + 4*f(s). What is the third derivative of r(k) wrt k?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004858825173 to 7 decimal places.\nAnswer: -0.0000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(130) - (sqrt(130) + -4*sqrt(130) + sqrt(130))) + sqrt(130)) + sqrt(130))\/(-6*sqrt(360)).\nAnswer: -17*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369159372 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-8))\/((6\/12)\/(-1)). Which is greater: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) - (-16)\/(-6). Let d(u) = 2863 + 2827 - 5686 + 6*u. Give d(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from qjhhhgt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 85641*c**2 + 59*c + 85636*c**2.\nAnswer: -5*c**2 + 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l + l**2 - l**4 + (-2*l**2 + 2*l**2 + 3*l**2)*(-l**2 + l**2 + l**2) to the form b + y*l**3 + w*l**2 + p*l**4 + c*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 8. Let u be m(5). Is -2\/3 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 38. Let i = j - 22. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76)\/12)\/(2\/6). Let t = o - -23. Let b be (t - (-1 - -2))*-1. Sort -5, 1, b in decreasing order.\nAnswer: 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a087a + 5?\nAnswer: -6a0875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 756?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509689 - -717440. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.2 (b) 0.5 (c) 5 (d) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 7. Let g = j + 2. Let o = -8.3 + 8. Which is the second biggest value? (a) g (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 2*n - 5*o, n - 4*o - 226 = -158. What is the highest common divisor of 340 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2095 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 370*n**2 - 215781 + 215781 - 2*n + (-1 + 3 + 0)*(-n**2 + 3*n**2 + 0*n**2) to the form c + z*n + m*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171044, 0, 6 in decreasing order.\nAnswer: 171044, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -143422311?\nAnswer: 143422312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 6*p + p)*(0 + 6 - 5 + 3*p) as u*p + m + w*p**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let d(z) = -z**2 - 2*z**v + 2*z**2. Let m(f) be the third derivative of -7*f**4\/24 + 90*f**2 + 2*f. Calculate d(m(j)).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/18 + 14259\/20952?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:07 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11 + (-99105)\/(-135))*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 572.0758 - 0.0758. Let o = 585.6 - b. What is o rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*g - 0*d + d, 3*g + d = 28. Let b = g - -2. Calculate the remainder when ((-8)\/2 - -2)*-10 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1232 = 60*z - 64*z, 0 = 3*z - 2*t - 941. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 30\/(-7)) + (-80)\/(-14). Suppose 181 = -i*u + 127. Which is the second biggest value? (a) u (b) 3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/3)\/u)\/u**(-1\/4)*u**5\/((u**(2\/9)\/u)\/u) assuming u is positive.\nAnswer: u**(265\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2991\/5 - -603. Let 9\/5*t**2 + 0 - 1\/5*t - s*t**3 + 16\/5*t**4 = 0. Calculate t.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -399950 and -77.\nAnswer: 30796150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = l, 5*l - 98 = -4*c - 0*c. Suppose 7*a - 6 = c. List the prime factors of (a\/(-10))\/(10\/(-100)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25065646.\nAnswer: 2, 43, 223, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6112 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Suppose y*t = t. Solve t*a - a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:47 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172782?\nAnswer: 2, 13, 43, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21*f - 100. Let j be s(5). Suppose -4*y = j*c - 34 + 2, -5*y = -2*c - 7. Solve -3*u = d + 1, -y*d + 17 = -0*d - u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2034*a**3 + 2919*a**3 - 1595*a**3.\nAnswer: -710*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l + 4 - 27*l + 6*l**2)*(-140*l**2 + 87*l**2 + 115*l**2).\nAnswer: 372*l**4 + 248*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1789 = 655*c - 67*c - 5*x, 0 = 600*c - 595*c + 3*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 395, 899, 1479, 2135, 2867, 3675?\n\"Answer: 38*a**2 + 390*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wnnnnnnwnnnwnnnnnnnn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42426888 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1490 and (-952)\/(-49) + ((-3)\/14)\/((-48)\/128)?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((-2*4*(sqrt(245) - (-4 + sqrt(245) + sqrt(245)))*-6)**2 + 3)*2).\nAnswer: -7216152 + 1548288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 3*w)*(15 + 0 - 1)*(-7 + 2 + 2) + (-w + 0*w - w)*(0 + 3 - 5).\nAnswer: -80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*(-6)\/(-184)*4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -16 + 37. Let f(l) = 3*l**2 + 2 - l**2 - 2 - 4 + 13*l. Let z be f(p). Solve h - z*o - 2*o - 4 = 0, -4*h - o - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let w be 1\/(((-3)\/(-3))\/r). Solve 0*s + f = -s - 8, -14 = 4*s - w*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:30 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/3 + 134*p - 824\/3.\nAnswer: (p - 2)*(5*p + 412)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66008207153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8440*j**2 + 4*j**3 - 8440*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4121690523 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26703 - -3.73297. Which is the third biggest value? (a) 38 (b) 1\/4 (c) q (d) 1\/11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 542 - 11380\/21. What is the fourth smallest value in s, -1, -2\/3, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(4032) + sqrt(4032))\/(sqrt(20)\/sqrt(80)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 4, -5, 3\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + 4*g**2 - 7*g**2)*(-38 - 65 + 52)*(-3*g + g - 3*g) to m*g**2 + h + j*g**3 + t*g and give j.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**3 + p**3 + 4*p**3)*(3 - 1 + 0) + (-1102*p + 1102*p + 53*p**2)*(10*p + 9*p - 53*p) in the form n*p**3 + c + l*p + o*p**2 and give n.\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 67978?\nAnswer: 3398.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5437578\nAnswer: -2\/2718789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -66 - 393. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/4 + 5*f**2\/4 + f\/2 - 6 = 0.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q**2 + 12. Let m(a) = -7*a**2 + 6. Let l(d) = -5*m(d) + 3*t(d). Differentiate l(w) with respect to w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*p + 25 = -15, 4*c + 4*p = 8. Calculate the remainder when 97 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 5. Let z be f(0). Suppose -2*j + j = -92. Suppose -25 = z*c, -5*w + j = -w - 4*c. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15882.6 and 54.\nAnswer: -15828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - q**2 + 4*q - 7. Let u = -2 + 20. Suppose -5*v = -u + 8. Calculate the remainder when 26 is divided by b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from essesseses.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 9*r**2\/2 + r + 3. What is the remainder when j(6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8379106 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10018, 10019, 10020, 10021, 10022, 10023?\n\"Answer: k + 10017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - -17. Let x = d - 39. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1497744.6773 to the nearest 10000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.32517119247295 + 5\nAnswer: 4.67482880752705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2888 = -5*i + 128. Let n(t) = t**3 - 5*t**2 + 5. Let c be n(5). List the prime factors of (-9)\/(-15) - i\/c.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or 455.054?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*-8.1.\nAnswer: -1101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Let a be (s - -1)\/((-10)\/(-20)). Solve 2\/3 + a*j**2 - 2*j - 2\/3*j**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7051 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -34.1. What is the closest to u in 6, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t + 10. Let p be b(-8). Suppose p + 132 = x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8\/1 + -4*(-1968)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*l + 79, -4*i + 55665*l + 72 = 55663*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93ca (base 13) to base 5.\nAnswer: 1123241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 284.\nAnswer: 283.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z + 2. Let w(l) = -39*l + 4. Let a(k) = 2*d(k) - w(k). Let f(c) = 16*c. Calculate f(a(s)).\nAnswer: 432*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 12 = 0, 6*d + g = -0 - 8 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - b = 215, 4*b - 64 = -3*a + 2*a. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 174, 3037, 11268, 27543, 54538?\n\"Answer: 446*n**3 + 8*n**2 - 283*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/36)\/(2\/(-27)). Let t be (-3 + d\/6)\/6. Let z(r) = -r**2 + 14*r - 12. Let g be z(13). Is t less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 59. Solve -4*v = 5*q + 9 + u, 2*v = 4*q + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1223 or 0.549?\nAnswer: 2\/1223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-13)\/((-234)\/12)*(-408)\/16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83 and -3?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 6*y - 12. Suppose -3*q = v - 1, -v + 5*q + 2 - 1 = 0. Let b(t) = t + 1. Let n be b(v). Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:47 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 16) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 990?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 150, 1150, 3866, 9156, 17878?\n\"Answer: 143*d**3 - d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 2*f - 1. Let q(d) = 4538*d**3 - 3*d**2 - 10*d - 3. Let c(z) = -5*m(z) + q(z). Is c(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l - 218. Let p be j(-32). Solve p*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 805, 801, 797, 793?\n\"Answer: -4*y + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0 + 0*d**2 - 1\/20*d**5 + 1\/6*d**3 + 0*d**4 + 2*d. Factor n(a).\nAnswer: -a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a - 6. Let i = 9 + a. Suppose 114 = i*u - 3*n, 4*u = -n + 66 + 76. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -31880.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.454 - 0.51. Let d = -0.044 + m. What is the nearest to d in -1\/9, 5, -3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(620\/3968)*-25\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.16 - -17.16. Sort o, 5\/3, -2, 0.6.\nAnswer: -2, 0.6, 5\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*j**3 - 3*j**3 + 2*j**3 + 13*j wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2305440 divided by 36\nAnswer: -64040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4199923\/435 - 9655. Let h = -1892 - -1892. Is h less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215425 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b. Let q(l) = -80*l + 1 - 86*l + 239*l - 82*l. Determine f(q(r)).\nAnswer: 63*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-174)\/203)\/(15\/14). Which is the third biggest value? (a) -25 (b) -69 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(1\/4))))\/l**(3\/7))**(-3) assuming l is positive.\nAnswer: l**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -86, -208, -400, -674?\n\"Answer: -2*d**3 - 17*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-66)\/88*1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2586 and 431.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -301, 8.\nAnswer: -301, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -27*q**2 - 1067*q + 1601. What is y(-41)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m + 10. Suppose 16 - 11 = a. Suppose 6*o = o - 2*r - 113, a*o + 3*r = -117. Find the common denominator of o and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3351 + 36911\/11. Find the common denominator of a and (-10)\/(-35) - 614\/(-154).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0186032 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2959.1 and 1260?\nAnswer: 1699.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p + 83. Let j be s(9). Solve 3*q - 6*n = -n - 18, 4*q + 5*n - j = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5300.7 + 5301. Which is the smallest value? (a) i (b) 2 (c) -179.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103258 and 4208.\nAnswer: 217254832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 4*y - 5. Let a(s) = 3*s**2 - 13*s + 15. Suppose -2*p = q - 0*q + 17, p = q + 2. Let v(w) = q*r(w) - 2*a(w). Calculate v(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/33 (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, 5, -920, -92, -2 in decreasing order.\nAnswer: 5, 0, -2, -3, -4, -92, -920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17248*o - 103429. What is r(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25697280 divided by 5?\nAnswer: -5139456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:29 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 7 - 7)*(10*s - 27*s - 31*s) in the form k + g*s + c*s**2 and give c.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p = -27*p - 20, -2*m + 4*p - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -2396 (b) 4 (c) -1\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.64 + -6.36. Which is the third biggest value? (a) 3\/2 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00367267 rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 69, 48, 7, -60?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-95) - 3048\/38*(-30)\/(-120)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2435714235 to 5 dps.\nAnswer: -0.24357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 20*q**2 - 105*q + 38. Let y be p(11). What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/32*-1)\/(6\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-6)*(-204)\/272. Solve -k*b = 11 - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 1024 + 758 = 8*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 2*l - 1. Let h be p(4). Let t = h + -21. Suppose t*u - 6*u + 124 = 0. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -0.26?\nAnswer: 35.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419253602 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-18 - (-4 + 11 - 29) - (1 - -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-30)*(65\/(-30))\/(455\/(-140)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -27*l - 7. Let j be z(-1). Let u be (-8)\/j*3*(-30)\/4. Is (((-312)\/u)\/(-8))\/(3\/63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + ((-14422)\/(-8) - (-20)\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/48, 341779, -4 in decreasing order.\nAnswer: 341779, -1\/48, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -11*t + 112. Let z = -111 + t. Let k = 58 + z. Which is bigger: -23 or k?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -256, -259, -264, -271?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 + 94.\nAnswer: 93.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15108 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 119719b - 0?\nAnswer: 119719b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 130*(2 + (-16)\/10). Suppose -3*l = -6*o + 4*o + 25, 5*o - 4*l = c. Let u be o\/6*(-6)\/(-4). Put 0, -4, u in decreasing order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - 5*l**2 + 2*l**2)*(6*l - 2*l - 3*l)*(-147*l + 163*l - 78*l)*(-3 + 6 - 2) in the form i*l**4 + a*l**2 + k + h*l + o*l**3 and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/3)*(p*p**(-1\/3)*p*p*p)\/p)\/(p**(4\/9)*p**(-12)) assuming p is positive.\nAnswer: p**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*(0 - 1 + 3)*(-3*w - 1 + 1).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9947468 nanograms to kilograms.\nAnswer: 0.0000000000009947468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 - -210. Determine s, given that -2\/9*s**2 + h + 0*s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43988 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251\/2 - -126. Let o(u) be the second derivative of -2*u**2 + 4*u + s*u**3 + 0 - 1\/6*u**4. Let h(m) = m**2 - 2*m + 3. What is 4*h(b) + 3*o(b)?\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 23046162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 less than -80984\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*m = 2*f - 34, 2*f + 4*m - 8 = 0. Let k(l) = 11*l + 7*l - f*l. Let v(b) = -3*b. Give k(v(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11451, 11353, 11251, 11145, 11035?\n\"Answer: -2*x**2 - 92*x + 11545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/13, 2\/15, 546?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let l be (6\/(-4))\/((-9)\/(-4)). Let y be (29430\/(-750) - -39)\/(6\/(-10)). What is the closest to y in t, l, -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 1. Let i(u) = u - 41. Let d be i(10). Suppose 265 = 2*k + 3*k. Let z = k + d. Let j(o) = 13*o - 11. What is z*n(h) - 2*j(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-1)\/(-2)*1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46.27*8\nAnswer: -370.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 264, 1158, 2688, 4860, 7680?\n\"Answer: t**3 + 312*t**2 - 49*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:38 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*v + 92*v = -10. Sort -23, v, 2, 5.\nAnswer: -23, v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*r = -292*r + 25*r + 124*r - 4672 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = 5*d - 663. Is -9 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-15)*f**(7\/8)\/f)\/(((f**(-4\/11)*f)\/f)\/(f*f**(-17)*f)))**(1\/11) assuming f is positive.\nAnswer: f**(-2619\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - ((-270135)\/162)\/23?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-24))\/((-3)\/6). Let w = 23 + 952. Suppose -w*g + 978*g = -3. Is v at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4\/11 (c) -2\/15 (d) -0.08 (e) -78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1132302461*c**2 + 1475560457*c?\nAnswer: 2264604922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*a**4 - 568283*a**3 + 78360295*a?\nAnswer: -660*a**2 - 3409698*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -17c?\nAnswer: 17f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 24. Let x(s) = -5*s - 29. Let w be x(-9). Let r = 14 + -6. What is the least common multiple of t(w) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10377318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50036, -397831, -1341856, -3180227, -6211060, -10732471?\n\"Answer: -49686*j**3 + j**2 + 4*j - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -17. Suppose 4*b + b = 3*i + 3, b + 3*i - 15 = 0. Let p = x + b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:15 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13193221*v - 11455927.\nAnswer: -13193221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(385))\/sqrt(11))\/(sqrt(7) + sqrt(28)\/sqrt(4)*-2 - sqrt(7)) - ((sqrt(35) + sqrt(315)*-5)\/(-3*sqrt(252) - sqrt(7)))**2.\nAnswer: -980\/361 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + (-14 - -15). Which is the nearest to -1\/4? (a) 0.04 (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -70*z**2 + 8*z - 13. Let q(x) = -2*x + 6. Let j be q(5). Let c be o(j). Calculate the common denominator of 49\/16 and (-4)\/6 - c\/60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*o**2 + 240*o + 3 + 171*o - 411*o.\nAnswer: -135*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2109962.\nAnswer: 2, 37, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 425920.\nAnswer: 425920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 7\/(-10)*588\/(-343)*(-110)\/6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89810685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 2. Let d be t(-6). Let y(c) = -c**3 + 7*c**2 + 12*c + 11. What is the remainder when 170 is divided by y(d)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 3*u + 3. Let q be m(1). Solve 0 = 4*x + q + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84.09 - 9.19\nAnswer: -93.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = 3. Let a be 1 + 1 + (5 - i). Suppose 16 = 3*f - v, v + a - 15 = -3*f. Solve -f*w = -3*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 4*z)*(-2*z**3 - z**3 + z**3)*(z - z - 2*z).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 351.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 566, 3, -4, 5 in ascending order.\nAnswer: -4, -1, 2, 3, 5, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.8 + -30. Let l = 1.2 + g. What is the closest to l in -3, 4\/7, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12760 divided by 88.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -21*v + 24*v. Let m = 28 - v. Suppose 0*x**m + 0 + 0*x - 1\/4*x**3 + 1\/4*x**4 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1 - -3)*(-6)\/(-3). Let z = j - -10. Let c(k) = 10*k - 42. What is the remainder when 73 is divided by c(z)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 2*w + 22*i + 24, -5*w - 8 = -3*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -4\/19 (c) 1 (d) 15 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 197. Let o = 227.9501 - b. Round o to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 312*j + 1165. Is d(24) a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - 22) - (21 - (13 - 1))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 82*f = -18. Let a = 8052 + -354315\/44. Let p = 4\/11 + a. Put f, 0, p, -3 in ascending order.\nAnswer: -3, p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-4) + -5 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*i**3*k + i**3*r + 2*i**2*k*r + 110*i*k*r wrt i.\nAnswer: -54*k + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*j**4 - 64?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17383590 and 574.\nAnswer: 17383590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(((-5100)\/10710)\/((-15)\/(-672)))?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25.3778 - 0.3\nAnswer: 25.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164.4507 - 22.8837. Let r = 0.533 + q. Round r to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 16. Suppose -z*r + 21 - 5 = 0. Differentiate 4*l**3 + 19*l**r - 4*l**3 - 17*l**4 + 5 with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*o**4 - 6*o**3 - 56*o**2 - 51350?\nAnswer: 24*o**3 - 18*o**2 - 112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/3 - 116*q\/3 - 448\/3 = 0. What is q?\nAnswer: -112, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002591 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -d - 2*d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**3 - 1\/20*p**5 - 1\/3*p**4 + p + 0 + 0*p**2. What is the third derivative of k(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + sqrt(448) + (sqrt(448)*2 + sqrt(448) - sqrt(448))**2 + sqrt(448) + 1)*4 - -4*(sqrt(448) - (sqrt(448) + 1))*-3) + 4 + 1.\nAnswer: 96*sqrt(7) + 7189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95033070 to the nearest integer?\nAnswer: 9748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 175\/490*(-8)\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (231541*j - 231143*j + j**2 - 2*j**2)*(2*j + 3*j - 7*j) as y*j + d*j**2 + v*j**3 + c and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 2*r. Let h(s) = -4*s + 1. Let l be h(1). Let q(g) = -316 + 316 + 3*g. Calculate l*p(a) + 2*q(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 44 = 76. Suppose t + 0*s = s + 27, -2*s - v = -t. Suppose w - 11*w = -360. What is the greatest common divisor of w and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5 - 74*y - 11 - 74*y + 149*y. Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000575434295 to 7 decimal places.\nAnswer: 0.0000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(b - 4*b + 7*b)*(-b**2 + 0*b**2 - 3*b**2).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 86*b - 4. Let s be m(-6). Let i be (6 + s\/84)\/(4\/(-6)). Suppose -4\/7*k + i*k**2 + 2\/7 = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148195?\nAnswer: 5, 107, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3030180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3080 + -1716. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -142*m - 6 + 21 + 139*m. Let r be f(4). Suppose 0 = j - 5*j. Which is the closest to j? (a) r (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzyzyzyyzzzyyz. What is prob of picking 3 y and 1 z?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 4, -1, -0.06, 1 in increasing order.\nAnswer: -1, -0.6, -0.06, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -27 - 15) + 18 - (-39 + 1)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2635, 21093, 71209, 168817, 329751, 569845, 904933?\n\"Answer: 2639*k**3 - 5*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47576, -190070, -427564, -760058?\nAnswer: -1187552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.7, 8.8, -3\/2, 3 in increasing order.\nAnswer: -3\/2, 3, 4.7, 8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/43169? (a) -1 (b) 4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4298801, 4298798, 4298795, 4298792?\n\"Answer: -3*h + 4298804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/12834 and 91\/8514?\nAnswer: 6070482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4084 and -0.4?\nAnswer: 1633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 1, p: 1, m: 3, f: 5, l: 1}. Give prob of picking 1 q, 1 l, and 1 p.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-27)*4\/((-40)\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10430851 * -2.\nAnswer: -20861702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259 + 74. Let i = f - -270. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.4 + 41. What is the closest to -0.2 in v, 2\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -37 + 4*f + 46 + 3*f + f**2. Let v be i(-6). Suppose d = -v*d + 56. What is the remainder when 68 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2585 or -2574?\nAnswer: -2574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -937*o**2 + 312*o - 161*o - 151*o + (-o + 3*o + 0*o)*(-5 + 3*o + 5) as x*o**2 + m*o + r and give x.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 18 = 40774*b - 40770*b, -4*m - b - 18 = b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -270c53 (base 14) in base 9?\nAnswer: -2472640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(((-510)\/140)\/(-17)*(0 + (-4)\/6))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 459078048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2157 + -2?\nAnswer: -2159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -17*i + 4274. Calculate n(101).\nAnswer: 2557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254780?\nAnswer: 2, 5, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 0, -81080 in decreasing order.\nAnswer: 0, -0.5, -4, -81080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50178 + 25338 = 31*j. Suppose 14*n = 10*n + j. What are the prime factors of n?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42004302 (base 5) in base 7?\nAnswer: 2632604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/5 - -1) + 469872\/90 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2. Let j(r) be the third derivative of -r**2 + 0*r**4 + 16*r + 1\/60*r**5 + 0 + 0*r**3. What is j(v(p))?\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 65*t + 592. What is z(-42)?\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473809, -473810, -473811, -473812?\nAnswer: -473813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100686966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 < 418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 6, r: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -1, 284 in ascending order.\nAnswer: -11, -2, -1, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = 0, -4*q - 41 = -j - 1. Solve -4*l = c - 26, -4*l - 12*c + j = -16*c for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10320 and 6?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggl when three letters picked without replacement from qonroogooqonogonorlg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4170\/13919 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 46*t - 148. Let x be g(-32). Suppose 5*v + 5*w = x, -5*w + 8 = 4*v - 234. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*w + 2536 = -73*w - 169*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 37*h**2 - 31*h**2 - 2*h**3 + 66*h**2 + 121*h + h in the form y + x*h**2 + n*h + j*h**3 and give n.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 340 = -l - 3*l, 5*l + 420 = 5*t. Let m = -51 - l. Let b = 41 - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 145230441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109301 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7780 + 6109 = 210*q + 19826 + 1183 for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-2 - -3 - (3 - 2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-18))\/g)\/(g\/(g*g*g\/(g\/g**(-1\/3))*g)) assuming g is positive.\nAnswer: g**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546048 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 - -146. Let j(v) = -v**3 - v**2 + 7*v - 3. Let t(s) = -3*s**3 - 3*s**2 + 20*s - 9. Let h(m) = z*t(m) - 8*j(m). Give h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 2*d - 3. Let y be h(5). Let u(f) = -2*f**3 + 11*f**2 - 35*f + 170. Let w be u(6). Let r = y - w. Let o(j) = j - 7. What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50027396 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 - (-5 - (-6 + 14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4) - 1\/2 - (-1673948)\/(-198604).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + w + 3*w + 52, -b = -5*w + 1. Let z = b + -4. Calculate the remainder when 58 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696 and 1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/(-35))\/((-6)\/20). Suppose r*g - 17 = 23. Let x = 14 - g. Calculate the least common multiple of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 2, s: 4}. What is prob of sequence usu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 715627 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 16. Suppose 3*y + 6*w - w = 19, 4*w = -m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12)*1*276\/1840.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 8. Let r be u(-5). Suppose -5*a - 4 = -r*a. Is (-74)\/a - (-5 - -2) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**(-13)*u)*u*u*u**(-6))\/(u**(-14)*u*u**(-14)) assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/30 + r**5\/25 - 9*r**4\/20 - r**3\/3 + 8*r**2\/5 + 12*r\/5 + 8. Let i(t) = 0. What is t?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362799 divided by 3\nAnswer: -120933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**5 - t**5 - t**5 + (4*t**4 - 2*t**4 - t**4)*(-1780 + 104*t + 1780).\nAnswer: 110*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2144, -4, 15, 4 in increasing order.\nAnswer: -4, 4, 15, 2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:29 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + 2*a**3\/3 - 3*a**2\/2 + 6*a - 119. What are the prime factors of y(5)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 36 = 7*d. Let n = 8 + -3. Let m = n + d. Which is greater: m or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14182491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 38*p**5\/5 - p**4\/4 + 7*p**3\/3 - 2273*p**2\/2 - 8959. Find the second derivative of o(y) wrt y.\nAnswer: 456*y**2 - 6*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1330 + 58497\/44. Calculate the common denominator of 55\/6 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 19. Let x be s(8). Suppose -1968 = -19*n + x*n. Let k = n + -83. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/972 and 55\/52613604.\nAnswer: 473522436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.964 and 2.\nAnswer: -3.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 54722*w + 1. Let p(y) = -8*y**2. What is s(p(g))?\nAnswer: -437776*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w. Let o(t) be the first derivative of 0*t - 4 - 1\/2*t**2. What is o(z(q))?\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(704) - (sqrt(704) + -1)**2*2) + 1.\nAnswer: -1407 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((-20)\/5)\/16. Which is the biggest value? (a) -0.3 (b) 3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Let y(h) = 7*h - 18. Let f(g) = 2. Let k(j) = -14*f(j) - 2*y(j). Let v(s) = 5*s - 3. Let a(t) = -3*k(t) - 8*v(t). Determine a(z(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)*r\/(r\/(r\/(r*r**(-3\/2)\/r)*r*r)))**(-5))**(1\/3) assuming r is positive.\nAnswer: r**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6287754 and 1102688.\nAnswer: 1710269088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 5*v + 18, 2*v = w - 6. Let d be 31866\/27 - w\/9. Suppose -5*r + d = -0*r - k, 25 = 5*k. Is r 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 11:49 AM and 8:10 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + o = -152, 0 = -x - x - 2*o + 76. Suppose 0 = 12*p - 22 - x. Suppose -104 = -4*f + 4*r - 2*r, -p*f + 145 = 5*r. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 - 6 = 0. What is the units digit of 0*(n - -2) + 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-142*u**2 - 177*u**2 - 10*u**2 - 41*u**2).\nAnswer: 740*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5809 - 5801. Which is the closest to -38? (a) -0.4 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2 + 394476*k - 12967609548 = 0. Calculate k.\nAnswer: 65746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 27 = 2*f, -456*f + 452*f = 3*i - 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.3 - 49.7. Let j = -66.1 - d. Let h = j - -2.1164. What is h rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.36 (b) 58 (c) -0.4 (d) -61\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*k - 12, -2*c - 1 - 5 = 0. Let t(f) = -5*f**2 + 70 + 70 - 5*f - f**k - 136 - 2*f**3 + 4*f**3. Determine t(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 - (0 - -7) - (-1 - -1). Let t = 12 - y. Solve 4*s + 2 + 2 = t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.17 plus -0.1?\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/12 - 815*b**4\/12 + 57137*b**3\/12 - 55505*b**2\/12 - 14284*b\/3 + 14080\/3 = 0.\nAnswer: -880, -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1417 - -1?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25217, 50411, 75605, 100799, 125993?\nAnswer: 151187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940 divided by 194.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-4 + ((sqrt(77) - (sqrt(77) + sqrt(77)*-3*4)) + sqrt(77))\/(sqrt(112)*-5)).\nAnswer: 78*sqrt(11)\/5 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1438\/3 and 479 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/(4\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a7 - 24?\nAnswer: -2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -205 + 205.2. Which is the closest to 8? (a) 1\/6 (b) r (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + 1 - (-1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0*b**2 - 2*b**2 - 8*b + b**2 + 4. Let f be a(-9). Suppose -23 = -7*s - 44. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -31*r**3 - 2*r**2 + 5*r - 11. Let n(x) = 3*x**3 + x**2 - x + 1. Give 11*n(c) + w(c).\nAnswer: 2*c**3 + 9*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 3*f**2 - 10*f + 12. Determine r(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*m + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmememe. What is prob of picking 1 m and 2 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 13*o - 13. Let r(q) = 24*q. Let b be r(-1). Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 7*a**2 - 20*a + 7. Let j be u(9). Calculate the common denominator of 4\/(-6) - (-137)\/18 and ((-2156)\/48)\/j - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 + (-4 - 2 + 4)*(11 - 19 + 54))*(-4*z**2 + 0*z**2 + 2*z**2).\nAnswer: 182*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96258 by 1578.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -11*h**5\/60 + 5*h**3\/2 + 2*h**2. What is the first derivative of l(p) wrt p?\nAnswer: -22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 1. Let w be s(2). Suppose -4*c - 2 + 50 = 0. Let u be 5\/(25\/c)*5. Solve 4*o + u = 0, 0 = 6*l - l - o - w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l - 1 = -5*b, 3 = 4*l - 5*b. Suppose -l*g - 33 = 2*t + 3*t, -g = -t - 1. Sort -3, 3, t.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/8)\/(3\/12). What is the smallest common multiple of 22 and t + -5 + (2 - -8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -54\/5 (b) 0 (c) 5 (d) 0.02 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -20. Suppose i + 2 + 5 = f. Is i\/1*(-268)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:48 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddexwexwxdxxdxdcex. What is prob of sequence de?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077515.5 plus 23?\nAnswer: 2077538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245582 is divided by 2254?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msa when three letters picked without replacement from mas?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45480349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 0 + 2 + 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**10)*o*o*o)**(5\/13)\/(o**(-1)\/o)**(-2\/27) assuming o is positive.\nAnswer: o**(-997\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522 and 43282848.\nAnswer: 129848544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -62, -184, -412, -782, -1330, -2092, -3104?\n\"Answer: -6*y**3 + y**2 - 13*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Let f be (46\/(-69))\/((-6)\/45). Suppose f*i + d = 6*d + 940, 0 = n*i - 3*d - 938. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1104, -1099, -1086, -1059, -1012?\n\"Answer: t**3 - 2*t**2 + 4*t - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 4*i - 5. Let o be (-210)\/(-50) - 1\/5. Determine y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 17*n + 7. Give i(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + (-3780)\/600*8?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 35. Let p = -6.036 + -0.064. Which is the nearest to w? (a) p (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**2 - 122906*x + 40970 = 0 for x.\nAnswer: -20485\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -1) + 66 - 18 - -57\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*3\/6 - 2. Suppose 0 = 5*t - g. Suppose -l - 35 = -3*q, t - 2 = -l. Calculate the remainder when 35 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1453 - 90*l - 2901 - l**2 + l**2 + l**2 + 1446 as s + z*l**2 + c*l and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 5*x**2 + 5*x + 2 + x**2. Calculate v(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -944*p**4 - p**2 + 6*p - 3415 wrt p.\nAnswer: -3776*p**3 - 2*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -260*k**2 + 7499*k + 1192. Calculate j(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f - 6. Let k = 3 - f. Differentiate k - 3*h + 4*h - 3 wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:41 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 957\/6164 - -5\/268. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24512317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 0*m - 14 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 58b5 (base 12) to base 3\nAnswer: 111121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54\/139 + 6046\/1251. Find the common denominator of (-19)\/9*(-372)\/341 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150212*q**2 + 44558*q wrt q.\nAnswer: 300424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64684, 129373, 194064, 258757?\nAnswer: 323452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 1. Suppose 0 = m + 2, -5*k + 11 = -5*m - 4. Let i(x) = -5*x**3 - 4*x**2 + x + 2. Determine k*i(s) - 4*p(s).\nAnswer: -5*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.166 - 0.034. Let h = -8 - t. Sort h, 5, -0.5 in descending order.\nAnswer: 5, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 20*f - 3032. Calculate s(-66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -421 + 419. What is the remainder when (-2553)\/4*(-24)\/(-36)*o is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7\/(280\/8)*64810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 14*l**2 - 3*l + 12. Let z be p(7). Is ((-3)\/z)\/(14\/62202) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 290\/(-261)*(-18)\/30. Let v = -43 + 44.04. Which is the nearest to -2? (a) -4 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 3*b - 1\/6*b**3 + 0 + 9\/2*b**2. Let l be m(10). Which is smaller: l or -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2905 and 830.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 7*v + 2. Let d be h(-3). Let k = 11 + d. Let m = 270 - 238. Is k greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483833467 to the power of 1\/3, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 875712 and 6?\nAnswer: 875712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 0*d - 6*d - 5, 3*d = -3*s - 9 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/10)\/(3\/(-10)). Suppose -i*r + 11 + 9 = 4*p, -3*r - 4*p = -20. Solve 0 = -5*o - r*o - 5, 5*h = 2*o + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 12.99. Let n = -0.7 + 0.75. Let x = l + n. Round x to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1424 and 3560?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + t**2 + 1 + 6*t - 20*t**2 as w + d*t + u*t**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(832) - sqrt(13))*-2 - (-2*(sqrt(130) + 3*sqrt(130)) - sqrt(130))\/(3*sqrt(640) - sqrt(640)))**2.\nAnswer: 1989*sqrt(13) + 5861853\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 + 6*r + 4. Let x be k(-4). Let q be x\/(-6) + (-8)\/(-24). Does 15 divide ((-93)\/q)\/(-3) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101232332 (base 4) to base 9.\nAnswer: 560210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 6*u**3 - 9*u**3 + 10*u**4 - u**2 + 0*u**2 to o*u**3 + w + h*u + m*u**4 + i*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773.0093 years to millennia.\nAnswer: 0.7730093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Let d be ((-222)\/2)\/(1 - v). Let n = d + 188. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and 101\/(-30) - (-16)\/80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003988 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*i - 45*i + 25*i to h*i + p and give h.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-1 - -2)*-2). Let n(s) = -7*s - 6. Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1364 divide 18187781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-5 + 2 + 4)*(2044 - 145*d - 2044).\nAnswer: -145*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2619 and 1593031?\nAnswer: 43011837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15)*5\/1. Suppose 1 - 5 = -l*u. Suppose 0 = u*k + 4 + 4. Put -1, k, -5 in decreasing order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayyppnnpmnnnp. What is prob of picking 1 n, 1 m, 1 a, and 1 p?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -595\/439 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -2*b. Calculate the remainder when 42\/(-4)*(113 - 117) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - w - 2*w)*(-7*w + w**2 + 7*w) + 1 - 1 + w**3 + (2*w**3 + 2*w**2 - 2*w**2)*(-17 - 22 + 10) to j + l*w**2 + p*w**3 + v*w and give p.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/44 (b) 10.4 (c) 21\/11 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32377, -232, 0 in decreasing order.\nAnswer: 32377, 0, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 228, 344, 462, 582?\n\"Answer: g**2 + 111*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2 - 10263*d - 144270 = 0.\nAnswer: -14, 3435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3369*n**2 + 3386*n**2 - 6719*n**2.\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6441*j**3 + 6820*j**3 - 5396*j**3 + 4621*j**3.\nAnswer: 12486*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -885\/1363 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 14. Let s be v(-4). Suppose -x = -s*h, 5*x - 8 = 6*h - 4*h. Solve 0 = -3*g - 2*q + 5 + 5, -x*q = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4680*n**4 + 3*n**3 + 334*n**2 + n - 5.\nAnswer: -112320*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*r = 1583, c = 6*r - 2*r + 784. Let x = c + -393. Let h = 916 - x. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3404, 3496, 3588, 3680, 3772, 3864?\n\"Answer: 92*b + 3312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-9) + 0)\/((-4)\/6). Let f(i) = 2*i + 1. Let c(o) = 3*o + 10. Let d(r) = g*c(r) - 4*f(r). Let w(s) = 2*s**2. What is d(w(a))?\nAnswer: -4*a**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - 2*z. Let n(q) = -117*q**2 - 27*q. Calculate 2*n(g) - 27*u(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573 take away 0.2?\nAnswer: -0.2573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*m + 5*j, -27 = -3*m + 5*j. Let y(d) be the third derivative of 1\/48*d**m + d**2 + 0*d + 1\/12*d**3 + 0 - 1\/60*d**5. What is b in y(b) = 0?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.7. Let l = 0.32 - 2.22. Let o = l + 2. What is the closest to s in o, 3, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 5. Let s(d) = 1. Let h(c) = -a(c) + 4*s(c). Suppose -2*u + 198 = -118. Let g(z) = 315*z - 156*z - u*z. Calculate g(h(x)).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.2 - 1.2. Let y = 120 - 119.47. Let n = y + 0.47. Which is the second smallest value? (a) d (b) n (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 366*h**4 + 4*h**2 + 58655*h.\nAnswer: 4392*h**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f + 17. Let m be o(-4). Is 5 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.236 - 63.236. Which is bigger: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 8*f**2 - 7*f + 3. Calculate g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272490 + -2175777\/8. Does 517 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 333 - 333.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1308)\/981)\/((4\/1866)\/2). Sort t, 4, 5 in decreasing order.\nAnswer: 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*j = -150, -3 = -6*j + 5*j. Suppose 0 = 5*l - 3*l - y. Let k(c) = -c**2 + 6*c + 5. What is the remainder when l is divided by k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 - 4*x + 4. Let f be t(-4). Suppose -f*c + 7 - 19 = 0. Suppose 7*l - 2*l = 20. Sort 1, c, l in descending order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a. Suppose 2*r = 18 - a. Let w(f) = -7*f - 8. Calculate the remainder when w(-6) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 + 1104*g**2 - 1079*g**2 - g**4 - 38*g**6 wrt g?\nAnswer: -4560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 0.01.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 4, 152, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -22*j**3 + 4*j + 7. Let d(c) = 15*c**3 - 3*c - 5. Give -5*b(k) - 7*d(k).\nAnswer: 5*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 70*n + 822. What is q(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000101000 + -1011010?\nAnswer: -1011010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y - 18. Give o(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + (-32)\/(-6). Suppose -b = -o*a + 84, 72 = 4*a - 0*b - 2*b. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441168.\nAnswer: 2, 271, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1047098512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -393 in -0.2, 7, 6\/1001, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8944 is divided by 228?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -97 + 0 + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.2, -3, 121, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -34*z + 648. Let m be o(18). What is the greatest common divisor of 36 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.7 - -17.6. Let o = -3976\/13 + 306. Suppose u = -3*u. Which is the nearest to u? (a) o (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8*j = 3140 + 2963, 4*j = 16. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -3, 4, 1 in decreasing order.\nAnswer: 4, 1, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -302, -408, -558, -770, -1062, -1452, -1958, -2598?\n\"Answer: -3*r**3 - 4*r**2 - 73*r - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13704 to 3 dps.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 1045479 + 1045479.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 839*s - 842*s + 189 = 0. Calculate the smallest common multiple of 14 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 20.1. Let s = 233443 + -233462.9963. Let c = z + s. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3529, -6901, -10109, -13153, -16033, -18749?\n\"Answer: 82*l**2 - 3618*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 less than -4631979692?\nAnswer: -4631979470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 14 = 4. Let s be 104*(-7)\/14*o\/4. Suppose -h = -k - s, -4*k + k + 277 = 4*h. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 34055?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12265889 to the nearest integer?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/88 and -103\/2406592?\nAnswer: 26472512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 48*x + 119 + 44. Let d(i) = -12*i**2 - 2*i + 2. What is d(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*g - 8288 = 243*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/304*(-16796)\/(-12376).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -811.\nAnswer: 405.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1796 + 2*x**2 + 1281*x + 899 + 898 to q + a*x + v*x**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.37 - -0.13. What is x rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3243 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 2. Let d = 91 - 94. Sort n, d, 0.2 in ascending order.\nAnswer: n, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93062 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 120 = -5*w - 99, -3*w - 4*b - 25 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -68, -119, -172, -227, -284?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (59 + -12) - -30 - -14?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:08 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8924 rounded to 2 dps?\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 4*g + 5. Let l be v(6). Let i(f) = -f**2 - 5*f + 22. Let j be i(l). Calculate the remainder when 5 is divided by 80\/32*j\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22616*m**2. Let u(g) = 3*g + 150. Give u(d(f)).\nAnswer: 67848*f**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780908921?\nAnswer: 13, 60069917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/7 + 17*h**3\/7 + 32*h**2\/7 + 12*h\/7 = 0?\nAnswer: -6, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = 54. Let l = h - -37. What is the highest common divisor of l and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 0.4 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2133034879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 665 and 606746.\nAnswer: 3033730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -3*o. Sort 4, 0, o.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 8*p**2 + 7*p - 1. Determine f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*55*(-100)\/(-500)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*v**5 + 3*v**2 - 2*v.\nAnswer: -4380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/470 + 1869\/5170. Let f = u + -1\/33. Find d such that -1\/3*d**3 - d - f - d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 - -90. Solve t*p = p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899307229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 9)*(-r + r + r) in the form x*r + s and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22236047 - 2663047. What is x rounded to the nearest 100000?\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 130.\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166736 and -0.044391.\nAnswer: -166736.044391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000793 rounded to 6 dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 87231.9.\nAnswer: -17446.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5876397 rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110? (a) -5 (b) -2\/11 (c) -0.008 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - k + 10 - 24, -2*k = 0. Solve -2*r - 3 = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 13*s = -540. Is s bigger than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4743 + -4742.998725. What is v rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 18 - 3)*(-5*j - 8*j + 7*j) + (-j - 3 + 3)*(-3 + 0 + 4) in the form w*j + b and give w.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653453 is divided by 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*-9*44\/(-37224)*6.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, a: 1, x: 1, d: 1, i: 2}. Give prob of sequence ix.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-60))\/((-2)\/(-5))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 359?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 20 = -19*c. Let d = -0.67 - 0.23. Let q = 1 + d. What is the closest to q in c, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 667, 1468, 2589, 4030, 5791?\nAnswer: 7872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 6 - 0) + -10 + -2 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and 19\/662082348.\nAnswer: 1324164696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 89100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 203. Let g(h) = -h - 121. Let q(d) = -5*g(d) + 3*y(d). Let w(b) = b + 5. What is -4*q(x) - 3*w(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*y + 363. Let h be (-65 - -1)*(-5)\/20. What is the greatest common divisor of y and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(567))*-3 - (0 + sqrt(567))*-1)*1)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(4 - 3) + (0 - 0). What is the closest to b in -3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2406094 and 0.5?\nAnswer: 2406093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-48)\/((g*(g*g**(-2\/17))\/g)\/(g*g\/(g*(g*g\/((g*g*g**(-3\/7)\/g*g*g*g*g)\/g*g))\/g*g*g*g))) assuming g is positive.\nAnswer: g**(-5630\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 374 - 263. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8630521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x + 9. Let q(m) = -5*m + 8. Let i(b) = 4*q(b) - 3*w(b). Let d(a) = -7*a + 4. Calculate 6*d(p) - 5*i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.8. Suppose -3*z = -2*z - 5. Which is the nearest to 2? (a) 0 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5 = 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9231?\nAnswer: 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-35)\/(7560\/297).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 25*o - 57. List the prime factors of q(-20).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/r**(3\/8))\/r)\/(r\/r**(-12)*r)*(r\/(r\/(r*r*r**(-4\/5))))\/(r*r*r\/(r\/(r\/(r*r\/(r*r*r*r**1))))) assuming r is positive.\nAnswer: r**(-647\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t - 5. Let b(p) = p + 1. Let l(q) = 4*b(q) + j(q). Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -89785 and 5?\nAnswer: 89790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/27)\/j*j**(3\/22) assuming j is positive.\nAnswer: j**(-469\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630244.3 millennia in years?\nAnswer: 630244300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.305 (b) 44\/3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-72)*-125 + 10\/(-12). Suppose 0 = -v + 5 + 7. Suppose 0*b = -3*b + v. Calculate the highest common factor of b and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from krnpkkrrrrjdn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 53*j**2 - 41712*j - 8572608.\nAnswer: (j - 369)*(j + 264)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(6324\/(-62)))\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m + 3. Let o be q(7). Suppose -s + 270 = 5*l + s, 2*l = -4*s + o. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22300 is divided by 230?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-240)\/22)\/(-4))\/((-30)\/(-264)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*c, -4*n + 4*c + 832 = -260. Let i = 279 - n. Calculate the highest common factor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8062 + -8060. Solve -2*g - 6 = -4*m - 0*g, o*g = -m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 7}. What is prob of picking 1 d and 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(3 - (-2)\/5*-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 6:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157587*n**5 + 153538*n**2?\nAnswer: 9455220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -416 - -421. Let z be (-8)\/14*(-1 + 0). Which is the second smallest value? (a) z (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 20. Solve -2*m = k*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 8*a - 1. Let j(p) = -4*p**2 + 17*p + 2. Let v(f) = -5*h(f) - 2*j(f). Let g be v(1). Solve -g*y = 3*i + 25, -3*i + 8*i + 35 = -5*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -122, 3, -4, -3\/11, -3?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(35\/(-10) + 3). Suppose -i*w - 2*w = 88. Let n = -11 - w. What is the remainder when 41 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*y**3 + 208170*y**2 + 42*y - 119583.\nAnswer: -96*y + 416340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73.71 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*l, 12 + 9 = 3*o + 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + 3*y. Let l be b(3). Let p be (-238)\/17*(-8)\/14. What is the highest common divisor of l and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2212)\/82 + (-511)\/20951.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**4 + j**2 - j**2 + (2*j - 3*j + 2*j)*(-2*j**3 - 2*j + 2*j) + (2*j - 2*j + 5*j**4)*(0 - 2 + 3).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjalj. Give prob of picking 1 f and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 184 = -26. Suppose -4 = -13*g + 11*g. Suppose 7*n - j = g*n. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90356 and 49?\nAnswer: 90356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, t: 1, u: 2, x: 2}. Give prob of sequence utu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 - -71. Let x(m) be the third derivative of 0*m + 0*m**4 + 0 + 5*m**2 - 1\/20*m**5 - 1\/3*m**3. Give x(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240330 (base 7) to base 8.\nAnswer: -124572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10*1)\/(4\/20). Let d = -27 + n. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101 and 10.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 237959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 + 4*z**3\/3 - z**2\/2 - 4*z - 23. Suppose 2*k = -0 - 6. Does 3 divide n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {m: 1, b: 1, x: 2, u: 1, v: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 8 = -4*n, n = -63*g + 61*g - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 221\/3. Let v = -8711\/5 + 52117\/30. Let o = v + 24\/5. Which is the nearest to 1? (a) o (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/100 and 91\/225.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-2)\/(-21))\/(72\/(-63))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*(-2)\/(2 - 4). Which is the second smallest value? (a) 1 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12703*j**3 + 22*j**2 + 10119*j**3 - 22*j**2.\nAnswer: 22822*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 0*m**2 + 3*m**2 + (2*m - 4*m - m)*(2*m + 2 - 2) + (-2*m + 2*m - 13*m)*(18 - 52*m + 51*m + 33) to f*m + i + o*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 + -1 + -46 + 45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.594 * -5.6.\nAnswer: 227.3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -1\/7, 37, -1 in increasing order.\nAnswer: -3, -1, -1\/7, 0.5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44477095 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13288717.4 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-8) + -5)*2 - -18738. Suppose 0*x - i = -x + 9372, 5*i = -2*x + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**3 + 7*v**3 - 4*v**3)*(2*v - 2*v - v)*(-3 - 1 + 1) as w*v**4 + f*v**3 + i*v + l*v**2 + k and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 + 9?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1965 and 385533?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1219199831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3651, -3580, -3509, -3438?\n\"Answer: 71*x - 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22711 + 30386 = -1128*o - 481*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 4*k**2 - 5*k + 20. Let p(u) = u**3 - u**2 - u. Calculate -2*l(r) + 10*p(r).\nAnswer: 2*r**3 - 2*r**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677970 is divided by 657.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-23 - 0 - -1). Let x = -1261 + 1450. Calculate the highest common divisor of x and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6582, 6580, 6578, 6576?\n\"Answer: -2*o + 6584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -171 - 3468. List the prime factors of w.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*a + a = -13, -l - 5*a + 20 = 0. Let t(x) = -x**3 + 1 + 4*x**2 + 5*x - 1 + 0. Determine t(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522\/7 - -2 - 16\/((-7 + 1043)\/37)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 16*t - 684. Let d be h(43). Solve 3*p + 5 - 24 = -4*a, 2*a - 22 = -d*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -63 (b) -1\/4 (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*g + 63*g, -4*c = -4*g + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/660 - c**5\/330 - 2*c**4\/33 + 4*c**3\/11 + 17*c**2 - 29*c. Let x(j) be the first derivative of g(j). Factor x(q).\nAnswer: 2*(q - 2)**2*(q + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/360 - (-85)\/(-12). Let c(b) = -24*b**2. Let v(f) = -12*f**2. Calculate k*v(n) + 4*c(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3892380.\nAnswer: 2, 3, 5, 29, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbccxbcbcxc. What is prob of picking 1 x and 3 c?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 + g**4)*(-1 - 4*g + 1) - 5*g - 3*g**5 + 5*g.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161988 is divided by 32314.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*a = -0*a + 4, 4*f = -2*a + 40. Suppose 2*m = 13 + 1. Let s = 11 + m. Calculate the smallest common multiple of s and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 15 - (-13 - (-1 + -26))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51635 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*b + 247 = 0, 91 - 273 = -4*w - 2*b. Suppose 2*y + 2*d - 164 = -0*d, -2*y - 3*d = -164. Let k = y - w. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9427222 by 4289.\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137524.\nAnswer: 2, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 4*w - 7*w)*(-6 + 6 + 6*w) + w**2 + w**2 - 3*w**2 + (16 - 16 + 7*w)*(0*w + 2*w + 0*w) to g*w + a*w**2 + h and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/60)\/(600\/500))\/(236\/(-8))\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.249 + -240.249. Let m = -251.3 - p. Let w = m + 11.3118. What is w rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 37.535. Let j = a - 0.165. Let d = -6.876 + j. Round d to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 m when four letters picked without replacement from {m: 4, c: 1, n: 5, g: 3, f: 1, x: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 62*r - r**2 - 9\/2*r**4 - 13\/6*r**3 + 0. What is the second derivative of f(d) wrt d?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29371, -0.5, 2\/549, -5, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 7, x: 5, t: 1, g: 1, j: 1}. What is prob of picking 1 x, 1 v, and 1 j?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - 88) + 4 + 0 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3\/8 + 1521*b**2\/2 + 6093*b\/8 - 6087\/4 = 0.\nAnswer: -2, 1, 2029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4\/(-3) + 1. Suppose -q - 94 = 7*i, 305*i - 3*q - 18 = 304*i. Put i, f, 3, 2\/3 in increasing order.\nAnswer: i, f, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/5, 262, 452, 0.3, 1\/2 in decreasing order.\nAnswer: 452, 262, 1\/2, 0.3, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 486253*o**3*w**2 - 2*o**2*w**3 - 881885*w**3 + 4*w**2 wrt o.\nAnswer: 1458759*o**2*w**2 - 4*o*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**21\/m*m**9)\/(((m\/(m*m*(((m\/m**(-2))\/m)\/m)\/m*m)*m)\/m)\/m)**35)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 123, 193, 263, 327, 379, 413?\n\"Answer: -z**3 + 9*z**2 + 44*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*s - 4*s = -31*s + 2160 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.80797894 to 3 dps.\nAnswer: -4.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167522 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlblbvltgb. What is prob of sequence gb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 1 r when three letters picked without replacement from {r: 1, p: 1, f: 2, m: 1, x: 2, q: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*v - h, h - 3 = 2*v + 2. Which is the second biggest value? (a) v (b) 2 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21755)\/916 + 11\/1 + (-40)\/32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28\/4227 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 27*u - 136. Calculate c(-5).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 14 = -54, -4*n + 2*w - 16 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11868 and 77698807.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 144 = -3*y. Suppose 0 = 2*x + x + 756. Find the common denominator of y\/(-42) - (-1346)\/x and 43\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-219)\/2)\/((-7)\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 0 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6585, -13238, -19891, -26544, -33197, -39850?\nAnswer: -46503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*i + 9 = 0, -4*i + 5*i = -3*n + 9. What is the third smallest value in -1\/3, 12, n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - u + 13, 2*w - 4*u - 9 = 11. Suppose 6*g - w*g - 4 = 0. Solve q + g*y + 18 = 4*q, 3*y = -5*q + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (15 + (-28 - -12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 4*x = 2, 8 = 4*y + 2*x. Find k, given that 49 + y*k - k**2 - 106 + 55 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 6*i**2 - 3*i + 9. What is y(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (82 - 83)\/(0 + 2\/(-29020)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 1 - 820*l**3 - 2 + 842*l**3.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15863180 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -678 (base 15) to base 2.\nAnswer: -10110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 56*o**2 - 196*o + 144.\nAnswer: -4*(o - 9)*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40631 + -0.4?\nAnswer: 40630.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3 + (-18186)\/861 - (7 + -25)).\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:51 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6)\/((-12)\/30 + (-86)\/(-220)). Solve 16 = -4*b + u, -51*u + 26 = -2*b - h*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*g**2*r*x - 24*g**2*x - 2*g*r**2 - 181*r**2*x - x wrt g?\nAnswer: -16*g*r*x - 48*g*x - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, -25806 in descending order.\nAnswer: 5, 4, -1, -25806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*y**3 + 547*r*y**2 - 32*r*y + 66*y**3 + y**2 - 6*y - 34 with respect to r.\nAnswer: 2*y**3 + 547*y**2 - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 67*k**2 + 221*k + 398. Does 14 divide c(64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 3*m. Let x(q) = q**3 - q. What is 4*i(s) - 12*x(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2130*o = 2132*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/124 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002255 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1951\/32 - -61. Find the common denominator of -41\/18 and m.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293*x**4 - 51*x**2?\nAnswer: 7032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-5)\/(-5)*2. Let g = 52 - m. Let y = -11 + g. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from llwla.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -12 = 1464441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-30) + 78\/(-10). Let r(y) = y**2 + 8*y + 8. Give r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -61*b. Let s(g) = -5*g**2 + 16*g. Let q(z) = -9*z**2 + 28*z. Let m(f) = -4*q(f) + 7*s(f). Give r(m(y)).\nAnswer: -61*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -1\/42*t**8 + 16*t**2 + 0*t**7 + 0*t**5 + 0*t + 0*t**6 + 0 - 5\/8*t**4 + 0*t**3. Find the second derivative of g(n) wrt n.\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0512 - -0.2262. Let n = 0.125 + h. Let i = -3.4 + 3. What is the fourth biggest value in 1\/7, n, 2\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 968*f - 7061. Let l be p(8). Sort -4, -1, l, 0, 5 in ascending order.\nAnswer: -4, -1, 0, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -7)\/((-3)\/(0 - 12)). Solve -4*s = -0*s + v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let f(o) = 4*o + 3. Let r(i) = i + 1. Let h(b) = -2*f(b) + 6*r(b). Calculate k(h(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 - 1 - 2*v**2)*(-6*v + 3*v + 0*v).\nAnswer: 12*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = 50. Suppose -4*c - q + 24 = -65, 19 = c - 3*q. Suppose -c + d = -i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 21. Suppose 4*d - l = 0, a + 2*d - 201 = -4*a. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*h**3 + 34481\/5 - 1537\/5*h - 17\/5*h**2.\nAnswer: (h - 29)**2*(h + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 + 23*j**2 + 2*j**3 - 12*j**2 + j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*x**2 + 0 + 2\/3*x.\nAnswer: -2*x*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)\/r*r**8)\/(r\/(r\/((r**(-3\/7)\/r)\/r*r*r))*r**(-2\/13)\/r)*((r*r**7*r*r*r)\/r**4)**(-1\/3) assuming r is positive.\nAnswer: r**(2593\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/28 - 2\/7. Let b(g) be the first derivative of q*g**4 + 1 + 3*g - 1\/3*g**3 - 5\/2*g**2. Determine b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 129*r + 8256 = -126*r, -r = -3*j + 8268. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.101 * 12\nAnswer: -1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-15))\/((-123)\/820). Solve 4*x = 8*p - 13*p - 40, 0 = -m*x - 2*p - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 9:33 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9f1d2 + 4?\nAnswer: 9f1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1669032, -1669029, -1669026, -1669023?\n\"Answer: 3*g - 1669035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/60 + 1421*y**4\/12 - 2019241*y**3\/6 - 138*y**2 - y - 1. Let m(q) = 0. Calculate q.\nAnswer: 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 1, s: 2, r: 4, b: 5, c: 1}. What is prob of sequence sc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010 - -202211202?\nAnswer: 202210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -978?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29256076 and 0.0135.\nAnswer: -29256075.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3\/7, -0.2, -60?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*a + 384 = 1006, 0 = 3*g + a + 469. Let y = g - -787\/5. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304.9 - -304.8. What is the closest to -3 in r, -1, 1\/3, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2691*m + 353830 = -2682*m - 29354. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5*u + 23*n**4 + 2*n**3*u**2 + 16*n**2*u**2 + 21*n*u**2 wrt n.\nAnswer: 120*n**2*u + 552*n + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300 - -102?\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*l - 44195*a**3*q + 5*a**3 + 264*a**2*l - 13*a**2 - 183*a*l*q - 2*l - 2 wrt q.\nAnswer: -44195*a**3 - 183*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -7 - (14 + (-6 - 7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -10 - (-1 + 1) - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1135.909986 - -1136.04. Let u = 0.34 - 0.21. Let l = m - u. Round l to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from rddttbf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30751030.\nAnswer: 2, 5, 1423, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*w - 5*w - 20, 0 = -4*n + 3*w + 12. Suppose -z = -3*c + z + 14, -4*c + 5*z + 14 = n. Calculate the greatest common divisor of 54 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 62. Calculate the smallest common multiple of p and 1.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1879 - 1883.2. What is the biggest value in 2\/5, -5, d, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2490 and 1162?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-130)\/(-6)) + (-219072)\/(-42380)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -5) + ((-4)\/(-7))\/((-86)\/3010). Let l(d) = d + 5. Let y be l(-4). What is the remainder when y\/(-8) + 0 + (-1010)\/a is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-55) - (-3)\/(45\/183). Calculate the greatest common divisor of 768 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15256789*n**2*q**3 - 2*n**2*q**2 + 2*n*q**3 - 17329521*n*q**2 wrt q.\nAnswer: -91540734*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 - (-4 + -1 - (23 - 34 - -11)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1558260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 + 44. Let x = h - -25. Let q = x - -62. Solve q*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64294356*m**4 - m**3 - 1452*m**2 + 782*m - 10 wrt m.\nAnswer: -1543064544*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, c: 2, s: 5, h: 2, u: 2, t: 1}. What is prob of picking 1 u and 2 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 - 5*h**4 + 2 + 99*h**3 - 5*h - 43*h**3 - 57*h**3 to the form m*h + j*h**4 + d + l*h**3 + s*h**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28763 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3285)\/(-16425))\/(16\/(-30))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 738\/(-451)*264\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1803 divided by -3.\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27091 or 27090?\nAnswer: 27090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258 and 1078.\nAnswer: 139062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*v**3 - 2*v**2 + 2*v**2) + (v**2 + 0*v**2 - 2*v**2)*(v + 0*v + v) - 6*v**2 + 6*v**2 - v**3 + (-v**2 - 2*v**3 + v**2)*(0 - 1 - 1).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1200503 + -4011?\nAnswer: 1152452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 320. Let u be (((-280025)\/2)\/23)\/((-1)\/y). Round u to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 5, t: 4}. Give prob of picking 1 t and 1 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unububuuybuaynbu. Give prob of sequence uuan.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -37. Which is smaller: -6 or b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j - 39 + 28 + 20 wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-3)\/12*(0 + 2). Let j be (-21 + 19)\/(u\/54). Suppose 0*q - 2*l - 23 = -q, -3*q + l = -j. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 19, r: 1}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 4\/343, 1, -6000, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 84.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, o: 1, p: 13}. Give prob of sequence qo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3935 = -4*g + 3*k, 4*g = k + 3092 + 849. What is the remainder when g is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*n - t, 12692*n - 12696*n - 16 = 4*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*h**2 - 62*h**2 + 104*h**2)*(-3*h + 2 - 2) in the form g + r*h**3 + m*h + j*h**2 and give r.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 13*q**2 + 22*q + 11. Give p(15).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*d + 9*d = -3*d. Solve d = 4*v - 0*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/65)\/((-2)\/150). Calculate the remainder when 90 is divided by -20*(-3)\/6*f\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 8. Suppose -2*o = l*o. Sort -2, -4, o.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2646 and 227304?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 0*x**4 + 6*x**4)*(94 + 88 - 167).\nAnswer: 105*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -10) + -6 + -1 + -4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z - z + (4*z + 2*z - 5*z)*(-2 + 2 - 1))*(604*z**3 + 884*z**3 + 333*z**3).\nAnswer: -5463*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 3. Let q(z) = -2*z**2 + 3*z + 5. Let a(h) = 2*q(h) - 5*r(h). Let i be a(-6). Solve 0 = 5*k + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-1) + 1)*5\/(-5). Suppose 0 = h - c - 11, -2*h - d*c + 0 + 6 = 0. Let p(k) = 7 + h*k + k**3 - 4 + 7*k**2 + k - 7. Calculate p(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 + 14*s**2 - 14*s**2 + 3.\nAnswer: 38*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-9))\/(3\/(-27)). Suppose -u*q + 4 = -26. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3835570 and 30.\nAnswer: 11506710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*((-51)\/(-12) + -1) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -371, -396, -421, -446, -471?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12362 less than 89205?\nAnswer: 76843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -24*t. Let f(u) = -336*u**2 - 7*u + 98. Let b(d) = 170*d**2 + 4*d - 56. Let x(w) = -7*b(w) - 4*f(w). Calculate x(j(h)).\nAnswer: 88704*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.3, 0.2, 6006 in descending order.\nAnswer: 6006, 0.2, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 6*h - 70. Let s be r(-6). Let m = s + -108. Sort -4, 3, m in descending order.\nAnswer: 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = 2. Let n be m - (2 - (1 + 1)). Solve s = -s + n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, 0.3, -2762, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/20 - (-75)\/(-125) - 20687\/(-302)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 83a?\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, n: 3, r: 1, z: 1}. Give prob of sequence nzr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 38 = -3*j, 2*j - v + 495 - 520 = 0. Solve -116*t + j = -118*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/24)\/((-24)\/(-32))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 2*b - 2. What is q(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-911 - o + 477 + 450)*(-1 + 1 + o**3) as n*o**4 + m + t*o**3 + l*o + y*o**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*u + 3*u - 741, 5*u = -2*g + 3692. List the prime factors of u.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 4. Let d be g(4). Let a be (-3)\/(-3)*(-2)\/(-2) + 1. Suppose d = f + a*f - 2*n - 2, -5*n = 3*f - 16. Solve -6*k + 4 = -f*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 30*c - 45 = -35*c, -4*i - 5*c = -105. Solve -5*p = -q + i, q + 2*p = -0*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -44, -70, -100, -134?\n\"Answer: -2*j**2 - 16*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 154470 = -5*y, y - t = 2773 + 28121. Does 271 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -6 (c) -1471 (d) 3 (e) 2\/9 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2. Let y(o) = o - 3. Let i(n) = 1. Let p(s) = 3*i(s) + y(s). Determine j(p(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -621*o - 4629. Is 24 a factor of a(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttffftfff. Give prob of picking 2 f and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8355 - 8355 + 2575*x**3 - 25195*x**3.\nAnswer: -22620*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133133, -133130, -133125, -133118, -133109?\nAnswer: -133098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.98 + -0.98. Let x = -65 + 22. Let w = m + x. Which is smaller: w or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933824 to the power of 1\/2, to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/4 + 5*m**3\/3 + 3*m**2\/2 - m + 1. Let r be p(-4). Factor -q**3 + r*q**2 - 2*q**3 + 12*q**4 + 3*q - 15*q**4.\nAnswer: -3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9633 from 0.02.\nAnswer: 1.9833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1951*p + 403859. Calculate w(-207).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6935 by 13083.\nAnswer: 6935\/13083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**2 + 1\/20*w**5 + 4*w - 7\/6*w**3 + 0 - 5\/12*w**4. Let v be r(6). What is the second smallest value in v, 2\/13, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -518*g**2 + 1. Let z be h(1). Let s = 152751 - 761147\/5. Let c = z + s. Calculate the common denominator of c and -8\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -4*p, 2*u + 5*p - 1843 = -1923 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.96 + -3.46. Let m = -98 + f. Sort -3, m, -1\/3, 0.3 in descending order.\nAnswer: 0.3, -1\/3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z - 16*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 3*w + 4*w)*(-3*w + 2*w + 0*w)*(0*w + 3*w - 4*w + (-3*w + w + 3*w)*(2 + 2 - 5) - 1 + 1 - 2*w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + 4*sqrt(1728))\/sqrt(6).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 90 - 76 + 2 + 0 - 4 - 2 + 1 + 0 + 0 + 2 + 0 - 3 + 0 + 4 + (-3 + 5 - 4)*(-3 + 2 + 3))*(12 - 12 - 6*g**3).\nAnswer: 774*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*r + 199 + 155 = 0, 0 = 2*h - 2*r - 138. Calculate the remainder when 158 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbbrsrbb. Give prob of sequence rsb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 + 5. Let w(p) = 2*p**2 - 9*p + 9. Let x be w(7). Let n(l) = 13 - 8*l**2 + x*l**2 - 36 - 13. Let v(m) = 6*n(m) + 44*r(m). Factor v(i).\nAnswer: -4*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -33, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 28\/12*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/5 - 19*m**2\/5 - 10*m - 32\/5 = 0.\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -252, 806, 458?\nAnswer: 806","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e5f (base 16) in base 5?\nAnswer: -1233114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-48))\/((-4)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9654*c. Let l(x) = 15*x + 87. What is a(l(h))?\nAnswer: 144810*h + 839898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 16 = -3*u - l, -3*l + 15 = 0. Let s(h) = h + 1. Let z be s(u). Suppose 4*r + z*y + 21 - 77 = 0, -70 = -5*r + 5*y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 230, 207, 184, 161?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*1*1 + (sqrt(245)\/(sqrt(28)\/sqrt(4)) - sqrt(35)) + sqrt(35))\/((sqrt(2016) - sqrt(2016)*-2 - sqrt(2016) - sqrt(56))\/sqrt(8)).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 25\/24*p**4 + 17*p**2 - 1\/12*p**5 - 5*p + 0 + 0*p**3. Let v(c) = 2*c**2. What is r(v(g))?\nAnswer: -20*g**4 + 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l**5*l)\/l)\/l)\/(l**(1\/11)\/l))\/(((l\/(l\/(l\/l**(-2))))\/l)\/(l*l**(-9)*l)))**(2\/69) assuming l is positive.\nAnswer: l**(-68\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30034 + 21825 = -737*t - 30685 for t.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 - 6*l - 1. Let o(g) = g**2 - 4*g. Give -a(d) + o(d).\nAnswer: -5*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -4\/3*h**3 + 0*h**5 + 0*h**2 + 0*h + 1\/360*h**6 + 6 - 1\/24*h**4. Let l(q) be the third derivative of a(q). Factor l(d).\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 305\/4. Let q(h) be the first derivative of -3\/35*h**5 - 30\/7*h**2 - b*h**4 - 18\/7*h**3 - 24\/7*h + 11. Factor q(m).\nAnswer: -3*(m + 1)*(m + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:43 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nine halves of a litre in millilitres?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -56\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1642*z - 313627. Determine d(191).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1466*b + 1703*b + 58438 - 7734 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(5\/6)*(s\/s**(1\/3))\/s*s**(2\/3))\/((s**(-6)*s*s**4*s*s)\/(s**1)**14) assuming s is positive.\nAnswer: s**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f - 27. Let l(h) = -2*h - 13. Let n(y) = 7*l(y) - 3*q(y). Let w be n(13). What is the first derivative of -4*u + 4*u**2 + w*u + 1 + u wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/3 - 772*v\/3 + 3910\/3 = 0?\nAnswer: -391, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, -21, -65, -117, -171, -221, -261, -285?\n\"Answer: s**3 - 13*s**2 + 2*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10106.43 hours to days.\nAnswer: 421.10125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/(z\/z**(-19)*z))*z**5 assuming z is positive.\nAnswer: z**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -18 - 10. Suppose 2*r + 25 = q*r. Suppose -r*d + 3*d + 8 = 0. What is the highest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(24\/15 - 2). Suppose -3*x - 1 = -5*d, -1 = -2*d + m*d - x. Does 20 divide 2\/(-2) - 40\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**7*n))\/n*n**(-31)*n\/(((n\/(n*n**(-8\/5)))\/n)\/n)*n*n\/n**(17\/5))**(-46) assuming n is positive.\nAnswer: n**1794","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 213*f**4 + 882*f**3 + 1338*f**2 + 897*f + 225.\nAnswer: -3*(f - 75)*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 82*l - 387. Let k be d(-77). Let h(n) = -n - 1. Let t be (-6)\/(-4)*2\/3. Let b(s) = -2*s - 1. Let p(j) = t*b(j) - 4*h(j). Determine p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -97, -217, -375, -565?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 6*j**2 - 4*j + 8. Let s be w(-5). Let m(o) be the second derivative of 0 - 2*o**2 - 1\/3*o**s + 11*o. What is m(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744507 is divided by 100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*y = 3*i - 15, i - 5*y - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/2520 - l**6\/144 - 11*l**5\/120 - l**4\/12 - 17*l**3 + l + 136. Let w(p) be the third derivative of b(p). Determine w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3))**(-41)*((b*b**1*b)\/b)**(-1\/31)*(((b\/b**(-4\/7))\/b)\/b*b*b*b**(-1\/3)\/b*b*b)**(2\/13) assuming b is positive.\nAnswer: b**(-76318\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48198 and 38976?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1147453 or -1147447?\nAnswer: -1147453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579839358 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504*y**3 + 2*y**2 - 2*y - 552.\nAnswer: 1512*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176108 or -176210?\nAnswer: -176210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*d - l, 5*d - 53*l = -51*l - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2839.43700025 - 2839.4. Let b = p - 0.037. What is b rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/6 + 2*x**2. Let d(g) = 4*g. Determine k(d(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -3, -14 in descending order.\nAnswer: -1, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 702\/(-3150) - 28\/(-350).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 469, 3893, 13223, 31411, 61409, 106169, 168643, 251783?\n\"Answer: 492*b**3 + b**2 - 23*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 3*u**2 - 3*u - 8. Let g be c(4). Is g > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -186, 1\/4, -66011?\nAnswer: -66011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 10 - -7 - (10 + -19 + (2 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/729 bigger than 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108504 divided by -8.\nAnswer: -13563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 11*m**2 + 11*m + 12. Let s = 4 - 14. Let h be z(s). Does 5 divide h\/(-4) + (-63)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:14 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72222 + 72252. Let t = 1 + 55. Suppose -5*z + 4 + t = 0. What is the lowest common multiple of s and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let x be p(-4). Suppose 0*j + x = -j. Let l = 5 - 10. What is the closest to 0.1 in -2, l, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3251*t - 345. Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 14 = 7*t, 5*t = -976*f + 978*f - 34 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 237006 = -14*w. Suppose -43*v = 20*v - w. What is the highest common factor of v and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/13943 - -960563\/5242568. Calculate the common denominator of 17\/24 and h.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:30 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:20 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v + c, -5*v - 5*c - 33 = -78. Solve 0 = -n - 3*l - 5, -4*l + v = -n + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 17, z: 1}. Give prob of picking 3 j.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 473 and 616.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 6 = 0. Let f = a + 14. Suppose -17*w + 4 = -15*w + 4*j, 4*w - 47 = 5*j. Are f and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*n - 885 = 0, 3*g - 9 = 2*n + 532. Suppose -4*a + 0*v = 5*v - 730, -5*a + 910 = 5*v. Is a less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*h - 88 = -z - 268*h, 0 = -4*z - 5*h + 402. Calculate the lowest common multiple of z and 91.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285075*2.\nAnswer: 570150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 + -1b4da?\nAnswer: -1b4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1612 times 76\nAnswer: -122512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 1 + 5 - 2 - 3*f**2 - 2 + 2 - 4*f + 4*f - f**2 + (4*f - 6*f + 0*f)*(2 - 2 + f) - f**2 + 4*f**2 + f**2.\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-94192)\/(-1344) + (-2)\/24. What is the greatest common divisor of y and 3605?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*v**2 - 1)*(8 + 8 + 4 + (-4 + 3 + 2)*(4 - 6 + 0) - 2 + 4 - 1 + 4 - 6 + 1) to the form f*v + k*v**2 + p and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -20. Suppose y*d - 130 = 9*d. What is the smallest common multiple of (-412)\/d - 16\/(-104) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 6718, 16090, 29206, 46060, 66646, 90958?\nAnswer: 118990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/120 - y**5\/60 + y**4\/24 - y**3\/6 - 14*y**2. What are the prime factors of b(-5)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11487265, -4, 15 in decreasing order.\nAnswer: 11487265, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/30 + (-476)\/(-10). Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8586, -34400, -77398, -137562, -214874, -309316, -420870, -549518?\nAnswer: -695242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 23023.\nAnswer: 69069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -102140, -102139, -102138?\n\"Answer: r - 102141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10097.\nAnswer: 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 24*p + 90.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 443, 801, 1499, 2651, 4371?\nAnswer: 6773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 2*q + 2*q)*(0*q - q - q) + (-q + 6*q - 2*q)*(-q**2 - 3*q**2 + 2*q**2) to the form g*q + z*q**2 + f*q**3 + h and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((27 - -32) + -42)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + ((sqrt(68) + 3 + -2 + sqrt(68) - sqrt(68)) + -4)**2*-1*3 + -3.\nAnswer: -235 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1711782.\nAnswer: 1711782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 50 = 2*n. Suppose 5*h - v - n = -5*v, 4*h + 3*v = 20. Let i(r) = -2*r - 1. Give i(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 641858 by -722.\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2347849326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 524.\nAnswer: -8, -5, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -5*j**4\/24 + 2*j**2 - 1. Let s(r) be the second derivative of f(r). Let h(k) = -3*k**2. What is h(s(i))?\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 87. Factor w + 1\/3*c - 1\/3*c**2.\nAnswer: -c*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 2. Determine z(-9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12693151 to the power of 1\/2, to the nearest integer?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2*(10\/3)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 390362.5t?\nAnswer: 390362500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018105025 to 6 dps.\nAnswer: 0.001811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 51261.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3156288, -6312568, -9468848, -12625128?\nAnswer: -15781408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*c**4*u - 38*c**3*u - 2*c**2*u - 325*u wrt c?\nAnswer: 192*c*u - 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.047, 0.9.\nAnswer: 0.047, 0.9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 27758952?\nAnswer: 138794760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -21, 0, -2, -5 in decreasing order.\nAnswer: 2, 0, -2, -5, -21, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w - 10. Let i(q) = 5*q + 5. Let s be (5\/15)\/(3\/99). Let n(a) = s*i(a) + 6*r(a). What is n(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 2*n - 35 = 0. Let l = n - 11. Find the common denominator of (-188)\/102*(l + 105\/20) and -47\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.862 and -287?\nAnswer: -2543.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 68141 (base 13) to base 5\nAnswer: 22023124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101111111110010111 - 1000?\nAnswer: 100010101111111110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455497 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9863001 and 861.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7188 - -7241. Solve -39*o + b*o = 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from tyttzttoyttttoswtt.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 27394\/315?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*x + 199*x**2 - 199*x**2 + 2*x**3 + (x - 2 + 2)*(2*x**2 - 4*x**2 + 3*x**2).\nAnswer: 3*x**3 - 19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1073117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1325 - 2?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 4*o - 4. Let l(a) = a**2 - a - 20. Let u be l(5). Let m be r(u). Sort m, 4, -38 in decreasing order.\nAnswer: 4, m, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -313. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1672, -1637, -1604, -1573?\n\"Answer: -s**2 + 38*s - 1709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -747, -1122, -1499, -1878?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -797 - -801. Suppose -78 = o*j - 5*k + 30, -5*j - 135 = -3*k. Put j, 1, -1, 4 in descending order.\nAnswer: 4, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 19. Let a be u(-4). Let s = 4 - 11\/3. What is the nearest to s in 0.2, 3, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02701 - -28.19701. Let m = 31.0628 - r. Let w = 2.9 - m. What is w rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212411 (base 5) to base 9.\nAnswer: 34315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*z - 12, -q - 3*z - 4 = -2*q. Let y be 15\/135*(-4 + (0 - q)). Suppose 6*f - f + 30 = 0. What is the closest to y in -1\/5, f, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 4*o + 7*o + (0 + 1 - 8)*(0*o + 0*o - 4*o))*((-13 - 8*o**2 + 13)*(-6 + 2 + 1) - 3*o**2 + o**2 + 3*o**2) to y*o + w*o**2 + a + g*o**3 and give g.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.690428 milligrams in tonnes?\nAnswer: 0.000000003690428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.45274285 to three dps.\nAnswer: 1.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 1560?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 + 54 + 10*u + (u + 4*u - 3*u)*(1 + 2 - 1) - 5*u + 5*u + 2*u)*(-293 + 293 - 25*u**3) to the form d*u**3 + o*u + k + y*u**2 + r*u**4 and give r.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-153)\/(-99) - -11 - 12. Let h = -9 + 5. Let k = h - -4.5. What is the nearest to k in u, 0, 1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -17. Suppose t = 2*h - 4*p, -4*p = -2*h + p + 6. What is the second derivative of h - 2*a**4 + 2*a - 8 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7566 - 6*i**2 + 2321 - 3*i + 2468 + 2085 in the form t*i + z + h*i**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 188062999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321164.\nAnswer: 2, 17, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -33. Let s = -16 + i. Let h(r) = -r**2 + 42 - 42 - 6*r**s. Let f(z) = 2*z**2. Calculate f(h(n)).\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 221\/(-39) - 2\/(-3). Let j(g) = -g**2 - 8*g - 3. What is j(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)\/(sqrt(99)\/(sqrt(9)*3)) - (1*sqrt(153) + 5 + sqrt(17) + -1*sqrt(17)))*-4)**2*1.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c + 6*c - 12*c)*(2*c - 5*c**2 - 2 + 0 + 3*c**2) + (c**2 - c**2 - c**2)*(-4*c + 2 - 2).\nAnswer: -28*c**3 + 32*c**2 - 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161.17 * -6.57.\nAnswer: -1058.8869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47274114 rounded to 3 decimal places?\nAnswer: -0.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*l**3 + 36 - 3*l**3 - 63 wrt l?\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3124568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 538? (a) -4 (b) 0.3 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4*2\/(24\/363)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -41068, 0.097.\nAnswer: -41068, 0.097, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-2)\/(-1))\/2*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 1\/40*x**5 + 1\/80*x**6 + 0*x**4 - 1\/140*x**7 + 5*x**2 - 1\/224*x**8 + 0*x + 0*x**3 + 0. Factor g(t).\nAnswer: -3*t**2*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974566 + 399.018?\nAnswer: -2974166.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r + 154*r = 3440 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:28 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 3*q**2 - q + 1. Let z be d(3). Suppose 2*c + 5 = z. Let l = c - 8. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79244402529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1442893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -668, -669?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)*h*(h*h**7*h*h)\/h*(h**(2\/5))**48*h**6*h**5*h**6\/(h*h\/(h**(-2\/3)*h*h)) assuming h is positive.\nAnswer: h**(668\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4134165622094 + 15*k + 4134165622094.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.96\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37634 - 74690. Let o be (y\/256)\/(3\/(-4)). Do o and 191 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2. Let t(v) = 10*v**2 + 52*v - 54*v + 6*v**2 + 2*v**2 - 17*v**2. Determine t(o(s)).\nAnswer: 36*s**4 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21967560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 41*z = 12272. Suppose 5*q - 497 = -z. Calculate the least common multiple of 75 and q.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 2. Let p be w(-4). Suppose 0 = x + 5*s + 24, -5*x - p*s + 3*s - 10 = 0. Let l be x*(-39)\/(-3) + -1. Solve v + 3*h = -l, -3*v + v - 3 = -h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1400 - 970 = -5*j. List the prime factors of j.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/4 - 16*o**3\/3 - 35*o**2. Let p be t(6). Solve p*b + 29 = -5*u, -4*b = 3*u - 2*b + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/48144 and 113\/14.\nAnswer: 337008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2.95 (b) 117\/19 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12516 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6227 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14150 plus -7615622.775?\nAnswer: -7629772.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*g - 57 = p, p + 4*g + 19 = 0. Which is smaller: -20 or p?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20933165 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (15\/(-9) + 1). Let u = 5.322 + -8.322. What is the nearest to f in 2, 3, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*(k**(-2)\/k)\/k assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18) + (-2)\/3. Suppose d = 3*u + 3*m - 6, -4*m - 2 = -10. Suppose 0 = 2*v - u*v - 10. Solve 0*c = -v*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 8 - 4 = 0. Let h(o) = o**3 + 3*o**2 - 6*o - 5. Let i be h(r). Suppose i*m - 2 = 1. Which is greater: -1\/6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 67. Find the third derivative of 44*c**2 - 74*c**2 + 8*c**3 + 11*c**3 - g*c**3 wrt c.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568180 (base 14) to base 5\nAnswer: 1223120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 0*v)*(18 - 31 + 19)*(-6 + 2 + 2)*(-4 + 5 - 3).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -0*g - 180. Suppose 5*x - g = x. Solve -5*y + x*a = 11, -5*y + a + 0*a = 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbbrvrb. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4871\/111 - -119\/37. Let m = 41 + n. Sort -4, -3, m.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h. Let x = -6 + 8. Let b(o) = -5*o**x - 6*o + 4*o**2 + 6*o. Give b(q(j)).\nAnswer: -441*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 - ((12 - -16) + -9 + -10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 - 2*z. Let s be b(2). Let g(k) = -2*k + 6. Let m be g(4). Let v be (m*3\/12)\/(6\/s). Put v, 0.1, -3 in descending order.\nAnswer: 0.1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2)\/(-4)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x. Suppose -2*r - 2*k - 30 = x, 5*k + 0*k = -15. Let h be (-15)\/6*r\/15. Solve 0*j - h = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46*(-1 - 20\/(-8)). Are 68 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 8897.\nAnswer: 1227786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9 + 86. Let k be (-2)\/(-3) - (-184)\/3. What is the remainder when x is divided by k\/6 + 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 308 and -717630.\nAnswer: -221030040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 23*t - 25. Calculate z(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (-3840)\/(-35) + 4\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/4, 0.1, 2, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87880\/(-30758)*21\/(-22).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:17 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -412651, -5 in ascending order.\nAnswer: -412651, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-9\/8)*w)\/w)\/w)**38 assuming w is positive.\nAnswer: w**(-323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-2)*(-2)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.1 rounded to the nearest 10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 38*x = 2. Let s(h) = -h**2 - 20*h - 13. Let p(u) = 1. Let j(i) = x*s(i) + 5*p(i). What are the prime factors of j(-17)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1282*z**2 + 220 - 60*z - 1284*z**2 + 1227*z**3 - 1226*z**3. What is s(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d - 1297. Calculate v(157).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*q + 18. Let w(c) = c**3 - 2*c**2 + 6*c - 9. What is the units digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16032.90508 to the nearest one hundred.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26853700?\nAnswer: 2, 5, 268537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 - 54\/152. Suppose 0 = 2*u - 18. Suppose 11*n = u*n - 8. What is the smallest value in n, 3, o, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {s: 5, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -102. Let n = i + 62. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/109 - 99\/545. What is the nearest to 0.1 in p, -0.6, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -18, -0.3, -7, -0.5 in decreasing order.\nAnswer: 26, -0.3, -0.5, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away -1291872?\nAnswer: 1291871.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 185*l + 480. Let n(i) = 47*i + 120. Let y(t) = -25*n(t) + 6*x(t). Is y(-9) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.44 equal to 2033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -4.4. Let y = 2155579\/19173 - -2\/2739. Let l = -113 + y. Sort v, l, 2\/5 in decreasing order.\nAnswer: 2\/5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0 - -10 - (10 + -88 - -10).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2282196 and 606.\nAnswer: 2282196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 51*b**2 + 278*b - 87. What is the units digit of t(45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three fifths of a hour?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*k - 7253 + 7250, s - 1 = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 944 and 5?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*w = -18, 0*o - 5*o + w + 8 = 0. Suppose -9 = 2*p - 1. Let u = 8 + p. Solve -20 = -2*f + 5*t, o*f + 2*t + u = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00322229 rounded to 5 dps?\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 494 - 314. Suppose 179*i - d*i + 549 = 0. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 - -10?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 816, 3261, 7338, 13047?\nAnswer: 20388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 2644*z**2 - 5285*z + 2642.\nAnswer: -(z - 2642)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -0.14. Let i = 5.2 + -5. Let k = y - i. What is k rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -91*x + 96*x - 41396, -4*x + 13801 = h. List the prime factors of h.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 1. Let j(y) = 23*y - 7303. Give -j(t) - 12*u(t).\nAnswer: t + 7291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38458523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c6 + 11?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*a + 7. Let p = 16 - a. Calculate the highest common divisor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 51 + 56 - 165 + 55.\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*d**4 - 68647*d**2 - 3*d**4 - 12*d - 4*d**4 + 68667*d**2 + 4*d**4 to the form q + s*d**2 + l*d + c*d**4 + o*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13774 is divided by 6827?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 - j**4\/6 + 2*j**3\/3 + 2*j**2 - 38*j. Let c = -1 + -2. Calculate q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 1. Let v(q) be the third derivative of -1\/24*q**4 + 1\/120*q**6 + 10\/3*q**3 - 4*q**2 + 0 + 0*q - 3\/10*q**5. Let x be v(18). Calculate n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:32 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 27, 0.04, -7\/5 in decreasing order.\nAnswer: 27, 5, 0.04, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1393b (base 13) to base 7\nAnswer: -212031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 2)*-1*1. Suppose 0 = -c*w + 4*w + 97. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - -2 - (-6)\/12*-8. Solve 3*r - 8 = -0*u + u, 0 = -l*r + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 353*g**2 - 2832*g + 82. Calculate the smallest common multiple of (-10)\/3*(-36)\/15 and k(8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24812 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*i + 56*i**2 - 44*i + (3*i - 4*i - i)*(0*i + 0*i + 2*i) as r + q*i + o*i**2 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20.4 (b) -4 (c) 7509 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1010?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(2944\/1104).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35\/4 and -347 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 17*j**2 + 19*j - 9. What is the units digit of p(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*k + 286*k + 282*k - 80*k**3.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9019 + -8671. Which is smaller: 357 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 55 = -8*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11292733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + (-40)\/(-32))*-8. Solve -3*a = -0*j + 5*j, -2*a + 4*j = o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -134*c + 525. Calculate g(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 not equal to -0.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/2, -0.3, -78, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-1 - ((sqrt(13) - sqrt(65)\/sqrt(80))**2 + sqrt(13)).\nAnswer: -4*sqrt(13) - 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -842897.02 + 5?\nAnswer: -842892.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 91*m - 3878. Calculate the least common multiple of 1470 and d(44).\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*q - 2, 0*n + 17 = 5*n + 2*q. Suppose -188 = -n*v - 5*a, v - 76 = -6*a + a. Let o be (21\/v)\/((-3)\/2). Is o at least -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 170.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 74901688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.097 + 3.573. Let s = 0.67 - j. What is the closest to 2 in -0.5, -3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10239384*c**4 + 324*c - 1115?\nAnswer: -122872608*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 + 4.1. Suppose 2*h = -0*j + j + 24, j - 3*h + 25 = 0. Which is the nearest to m? (a) j (b) -2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2249 and 51208.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.3. Let f be (-4)\/3*133\/(-1330). Sort m, f, -0.3 in ascending order.\nAnswer: -0.3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34608 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 6 - -17 - -8) + -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3 - 6 - 1 + 9*m. Let c be g(-8). Let n = c - -167\/2. Is n >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 + 732*q**3 + 6852*q**2 + 11620*q - 19200 = 0.\nAnswer: -5, 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/84*7*255\/10. Solve 3*f = -2*n + s, -2*f + 22 = -4*n + 8*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(6\/(-4)). Let t = -1558 - -1470.3. Let k = -92.7 - t. Which is the nearest to k? (a) 0.2 (b) -1\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*p**3 - 186*p**2 + 104*p + 72 = 0. Calculate p.\nAnswer: -2\/5, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 586428697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) 1\/11 (c) 3\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozgxrtz. Give prob of sequence ozrx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004459618 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 79. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v - 4. Let n be 60\/(-18) - v*-1. Factor n*i**2 + 0*i - 8\/9 + 2\/9*i**3.\nAnswer: 2*(i - 1)*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6650621, 6650626, 6650631, 6650636, 6650641, 6650646?\n\"Answer: 5*y + 6650616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x - 1. Let o be (1\/(-1))\/(-2 - (-35)\/15). Let i(a) = -a**3 - 2*a**2 + 2*a - 2. Give o*i(z) + 6*l(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -17*f - 40. Let b be c(-4). Let o be (-9)\/(36\/(-23))*b. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from wgwwggggwgggfwgggg.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 - 4*j + 1. Let o be b(0). Let s(i) = -i - 1. Let v(k) = 2*k - 2. Give o*v(u) - s(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x + 226. What is b(28)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 - 64. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4739867.3 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219629 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/(344862\/595)*21\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/80 - 7*h**5\/60 - 3*h**4\/2 - 16*h**3\/3 - h**2 - 295. Determine l, given that c(l) = 0.\nAnswer: -2, -4\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324\/5 + 65. Which is the biggest value? (a) m (b) -8\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -18. Suppose r - 25 = n*z + 32, 165 = 5*r + 4*z. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let r be ((-4)\/(-14))\/((-6)\/14). What is the closest to r in -3, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208 + 4*x + 603 + 605.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6281 (base 14) to base 10\nAnswer: -16969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980 divided by -796?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**20)\/w*(w**32\/w)\/w assuming w is positive.\nAnswer: w**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a = -186. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/255 - -1073\/2295. What is the common denominator of ((-1)\/(-21))\/(11\/(-737)) and q?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3452 times -9.19?\nAnswer: 31723.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c**3 - 529 + 1062 - 534 + (2*c**3 - 3*c + 3*c)*(0 - 3 - 9) in the form p*c + n*c**3 + g*c**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 113*f**2 + 984*f + 10. Give s(11).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = v - 11946, -6*c + v - 643 = -14976. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 176667972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3 - 1054*p**2 - 75107*p = 0.\nAnswer: -67, 0, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {u: 2, r: 3, o: 1, l: 2, v: 4, f: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -36473667 (base 8) to base 12\nAnswer: -2830847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28847 - -28852. Solve -l*j - x = -9, 2 = -26*x + 24*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + 4*t**3 + 0*t**2 + 18*t**4 - 20*t**4 - t**2 - 40*t to b*t + r*t**4 + c*t**2 + k + z*t**3 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1))\/18*(-70)\/5.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 14. Let n be k(5). Suppose n*r - 775 = 6*r. What is the remainder when r is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:56 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 2 - 1*-85. What is the greatest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1618 - 1616. Solve -v = 17*y + 32 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 33*y - 135. Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/835 + 827\/3340. Let i = -1.4 + 1. Let r = 0.7 + i. What is the closest to a in 1\/6, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 457, 448, 437, 424, 409, 392?\n\"Answer: -l**2 - 6*l + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2529 + -2578. What is the third smallest value in -1\/5, r, 1\/7, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-14) + 58995\/805. Is 85 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j + 7560 - 64*j - 14*j - 7560 + 11*j.\nAnswer: -82*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + -7 - (2 + 11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2961 = -9*r - 27. Suppose 2*o = u - 199, 0 = 2*u - o - 69 - r. Calculate the remainder when u is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - b - 11 = 3*b, -5*b - 6 = -4*y. Is -2\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, -7 in decreasing order.\nAnswer: -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 189090 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1127, 4499, 10119, 17987, 28103?\n\"Answer: 1124*r**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*-3)\/(sqrt(12)\/(1*sqrt(6))) + 2.\nAnswer: -18*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9102 * 42.\nAnswer: 382284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = -125*m + 104*m + 101 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = 0, 4*d + 0*d - 4*v = 32. Suppose -d = -3*x - x, 0 = -l - x + 2. Put 4, -1, l in decreasing order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/2) + -269. Calculate the common denominator of (-242)\/24 - 2\/(-3) and (o\/30)\/(24\/9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 - 214. Sort 1\/5, a, -0.4 in increasing order.\nAnswer: a, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. Let a(w) = -w - 1. What is -6*a(h) - p(h)?\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 34 = z, -4*z = 7*r - 2*r - 164. Let c = -6 + 8. Suppose c*j = z - 2. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-29 + 17 + 10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 103.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:55 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 + -72. Solve 0 = -a + 3*f - 2, -a - w = -f - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3367*o - 40 = 3357*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418703581*g + 209351789*g + 209351792*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**4 + y + 495173*y**2 - 43*y**5 + y**4 - 493907*y**2 wrt y.\nAnswer: -2580*y**2 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1106)\/(-6) - (6\/(-9) + 1). Suppose -c*g + 180*g + 12 = 0. Sort -1\/11, g, -3\/8, 0.06 in increasing order.\nAnswer: -3\/8, -1\/11, 0.06, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 2*t = -3*j + 11 - 89, j + 3 = 5*t for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197907615 - -3636.\nAnswer: -197903979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2891 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66806034*n**4 - 72415465?\nAnswer: -267224136*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - ((sqrt(432) + 1)**2 + sqrt(432)) - ((sqrt(192)\/sqrt(4) - sqrt(48)) + sqrt(48))) + -1 - (-3*(sqrt(12)*-2 - sqrt(12))\/sqrt(4))**2*3)*-4.\nAnswer: 112*sqrt(3) + 4652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - r**2 - 1353721*r - 2 + 1351399*r.\nAnswer: -r**2 - 2322*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -413*l + 25. Is j(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303301101 - -11?\nAnswer: -1303301030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 17050*p**2 - 7020500*p - 684095000 = 0. Calculate p.\nAnswer: -190, 3790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - z - 75, 0*z - z = -4*r + 59. Let y = -13 + r. What is y rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 408243, 408311, 408377, 408441, 408503, 408563, 408621?\n\"Answer: -b**2 + 71*b + 408173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 4, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.643524 - -32.87.\nAnswer: 30.226476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 434856?\nAnswer: 3043992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, -8*b + 4*b + 30 = 5*u. Solve 29 = 3*y - b*d, 0 = -5*y + 2*y + 2*d + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*(-7)\/(-21)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z + 141*z + 13860 = 31*z for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m + 0 - 1\/60*m**4 - 1\/840*m**8 + 0*m**3 - 25*m**2 + 0*m**5 + 1\/150*m**6 + 0*m**7. Find g, given that s(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 23*z - 7. Let t be v(15). Let n = -121 - t. Let a = 27 + -15. What is the lowest common multiple of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26331 + -22?\nAnswer: -26353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 12. Let m(w) = w - 1. Suppose 0 = 4*b - 3*x - 7, -2*b + 6 = 3*x + 7. What is b*f(q) - 5*m(q)?\nAnswer: 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 6*g - 3*g)*(64*g - 23 + 53 - 29) + (-g + 2*g - 3*g)*(1 + 0 - 2)*(-4 + 4*g + 4).\nAnswer: 136*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9163138*f + 2262740 with respect to f.\nAnswer: -9163138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:50 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091064 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 264*u - 16745. Give i(157).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c + 2. Let g(m) = 15*m - 3. Let n(u) = 3*g(u) + 5*s(u). List the prime factors of n(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254589707 * -5.\nAnswer: -1272948535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 14)*(-1)\/3. Suppose -3*t = -g*m, -3*m + m + 16 = 2*t. What is the tens digit of (1 - (-36)\/m) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t = 104*t - 19173. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -40493 = -485911\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5516*d. Let j(c) = 19*c. What is j(b(l))?\nAnswer: 104804*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 3*n + 3*n)*(-2 + 2 + 2) - n - 5*n - 11*n - 3 in the form k*n + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007783366 rounded to five decimal places?\nAnswer: 0.00778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1694 + 1711. Calculate the highest common factor of g and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109987 + 109987 - 635*b**2.\nAnswer: -635*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**5\/10 - 7*y**4\/6 + y**3\/3 - 17*y**2\/2 - 17*y + 1. Let p(l) = -2*l**3 - 5*l**2 + l - 6. Give -17*p(b) + 6*v(b).\nAnswer: -2*b**3 + b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 409*r + 3678. Calculate b(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220122 (base 3) to base 13.\nAnswer: 3c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(0*g**2 + 2*g**2 - g**2) + 4*g**2 - 2*g**2 - g**2 + 0*g**2 - 2*g**2 + g**2 + 2*g**2 - g**2 + 0*g**2 + 3*g**2 + 8*g**2 + g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/27*31\/186.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29600 * 0.3\nAnswer: 8880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110b + 2c?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.3 + -26.7. What is the closest to 1 in 5, 5\/2, d, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13897?\nAnswer: 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3078*p**2 + 7*p + 4. Let t(w) = 3077*w**2 + 10*w + 6. What is 3*s(d) - 2*t(d)?\nAnswer: 3080*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-1)\/2) - 2. Let m = -992 - -994. Suppose m*v = -5*c + c + 378, -3*v + c + 602 = b. What is the remainder when v is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/2 + 16*l**3\/3 + 13*l**2\/2 - 7*l - 31. Let r be q(-7). Solve 3*j + r*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4))**(-29)*(u**(-1\/5)*u*u*u)\/(u\/(u**13\/u)) assuming u is positive.\nAnswer: u**(711\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -295, -504, -713?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-28 - -23 - 13) + 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 1. Let n(j) = 3*j**2 - 5*j + 3. Let y(d) = -6*c(d) + n(d). Calculate the smallest common multiple of y(-3) and 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*z + 1055. Let h = -216 + z. Solve 4*r + h = 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-9))\/(3\/18). Let d(u) = -8*u + 37. Let y be d(b). Solve -q = -5*q + 3*i + 14, -4*q = y*i - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 9*j + 9. Let h(y) be the first derivative of -y**2\/2 - y + 6. What is -2*f(z) - 18*h(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 762109528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, 8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -133 (c) 3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x. Suppose 3*f = n - 20, 0 = -x*n + n + 4. Let h(p) = -p**3 - 8*p**2 - 4*p - 5. What is the units digit of h(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6327*b + 486*b = -168230 + 356404 + 273265 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from fllllflllllllfl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 248811956 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172596 is divided by 34519.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2307*r**3 - 3*r**2 + 200*r + 36. Let s be h(12). What is s rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3.8, -8.9.\nAnswer: -8.9, -3.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 856 and 321?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1) + 3 + 7 - 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*f**3 - 2485*f - 62*f - 1889*f - 2154*f + 1595*f + 3*f**2 wrt f.\nAnswer: 3156*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -p + 3*d, -102*d = 6*p - 99*d - 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 69486\nAnswer: 138972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13434519 and 0.4?\nAnswer: 0.26565481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/70)\/((-14)\/(-70))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 - 1480.\nAnswer: -1478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 - -77. Suppose 3*x - 768 = 4*n, 4*n = 3*x + 8*n - y. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2119253 and 2511.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o + 18. Suppose 3*t = q - 15, -3*q - 6*t + 11*t = -29. Suppose -4*m + q*m = 7*m. List the prime factors of p(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130)\/(sqrt(15)\/sqrt(3)) - sqrt(26) - sqrt(26)) + sqrt(26))\/(4*sqrt(50)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2) + 2 - (-13)\/2. What is the units digit of (16\/t)\/((-8)\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-2\/19)))\/x**6)\/(x*x**(2\/3)*x*x*x**(-9)*x) assuming x is positive.\nAnswer: x**(-101\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 5, 4.\nAnswer: 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 14. Let g be z(17). Let r = g + 100. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:20 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/16)\/(5\/20). What is the biggest value in -1\/5, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -10*i**2 + 0 + 0*i**3 + 21\/20*i**5 + 0*i**4 + 12*i. Find the first derivative of z(h) wrt h.\nAnswer: 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.3, -42, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8249319823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2102652811?\nAnswer: 7, 113, 2658221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 24*p. Let a be m(1). Let h be (a\/(-10))\/((-5)\/25). Let n be (9\/h)\/(10\/8). Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21)*(105\/(-56) - -2)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-11 - -6) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1250 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-8))\/3*36\/(-54).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67502*o**4 - 9*o**3 - 3780821?\nAnswer: 270008*o**3 - 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-30) + -6 + (-2)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*j**4 + 132*j**4 - 138*j**4 + (4*j - 3*j - 4*j)*(j**3 - j**3 - j**3) to the form u + t*j**3 + m*j**4 + v*j + f*j**2 and give m.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = n - 0*n + 10, 0 = 3*l - 5*n - 14. Suppose -5*y + 6*c = c + 20, l*y - 4*c = -16. Let a = 214.5 + -214.9. Put -2\/7, y, a in descending order.\nAnswer: y, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 70 = -60. Suppose 32*w**5 + 344*w**3 - 272*w**4 + 590*w**2 + 43 + 560*w + 57 + 374*w**h = 0. Calculate w.\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0 + (5 + 0 - 4)*(3 - 3 + i))*(0*i + 2*i + 0*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, v: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*2 - sqrt(245)) + sqrt(245) - (2*sqrt(245) - sqrt(245)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 29*o**2 + 1943*o + 455. Give q(-69).\nAnswer: 4457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5\/4, -179, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7314\/419407 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1)*x**(-13)*x*x**(-6\/7)\/(x*x**(-8)) assuming x is positive.\nAnswer: x**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**3 - 265*a**2 + 4655*a - 27075 = 0.\nAnswer: 15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 4*b + 5*o, 5*b = -2*o + 104. What is the highest common divisor of b and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*u + 56 = -203*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 7*l - 97600 = 0. Suppose 17*s = -15*s + l. What is the highest common divisor of s and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {a: 1, n: 5, d: 2, u: 1, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 = 388*u - 5942 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 - -15 - 15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/5, -6\/7, 6, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3033 - 2999. What is the remainder when 10\/((-2)\/13*-1) is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by -32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*g + 8*g - 74*g)*(0 + 0 + g**2) + (6 - 4 - 1)*(-4*g**3 + g**3 + 4*g**3).\nAnswer: -137*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32354 plus 9.9?\nAnswer: 32363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*m**3 + 9*m + 19*m**3 + 13*m**3 + 9 - 2 wrt m.\nAnswer: 390*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 1\/5, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let i(a) be the third derivative of 0*a + 8*a**2 + 0 + 1\/12*a**5 + 0*a**4 + 0*a**3. What is i(u(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -46 - (-1486 + 1455)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + 178 + (-53 - -2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 11:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2721 = -5*l + 177, -3*y = -2*l + 8642. Let n = y - -6081. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -61161*f + 611640. Determine u(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 431, 430, 429, 428, 427?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/4). Let r be 0\/((-2 - -1)\/o). Sort 2, -4, r in increasing order.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let n(u) = -3*u. Let b(i) = 6*n(i) - 10*w(i). Let s(l) = 48*l + l**2 - 48*l. Give s(b(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/3 - 166*v\/3 + 644 = 0?\nAnswer: 14, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let s(n) = -6*n + 12. What is 10*g(z) + s(z)?\nAnswer: -6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*g + 670 - 1313 + 6*g**2 + 1018*g - 233 + 492*g = 0. What is g?\nAnswer: -292, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23577225, -47154468, -70731711, -94308954, -117886197, -141463440?\n\"Answer: -23577243*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*r + 4107*r**2 - 158*r + 243*r + 7 + 5 = 0.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d36c (base 16) to base 7\nAnswer: -1005602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 147*z + 1. Let i(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 3*u**2\/2 - 12*u. Let w be i(7). Is f(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9984951.9999872 - 9984832. Let f = -120 + q. Round f to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028*-64.1.\nAnswer: 1.7948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/3, 0.019, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*t + 8567, -3*t = -5*v + 737 + 7844. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 5, c: 3, f: 2, z: 6}. What is prob of sequence zk?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4198212 divided by -3.\nAnswer: 1399404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(3\/2))\/v**0*v**(1\/2)*v*v**2)\/((v\/(v\/v**(-3)))\/(v\/((v\/v**(-1))\/v))*v**(-3\/5)\/v**1) assuming v is positive.\nAnswer: v**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 7*c**2 - 7*c + 7. Let j be u(6). Let k = -18 + 23. What is the second biggest value in k, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*h**3*m*w**2 - 110*h**3*m + 10*h**3*w**3 + 8*h**3*w - 3409*h*w**3 - 2*h*w + 2*m*w**3 - 3*m*w + w**2 wrt w.\nAnswer: 60*h**3 - 20454*h + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {d: 7, f: 6, z: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51137 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45196065*-0.3.\nAnswer: 13558819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p**3 - 53*p**3 - 8*p**3 - p**4 + (-6*p**4 - p**4 - 4*p**4)*(-1 + 3 - 1) + (p + 5*p - 4*p)*(2 - 2 + 2*p**3).\nAnswer: -8*p**4 - 36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4266 + 4270. Let j = -11 - -5. Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*j + 80 - 15 - 65.\nAnswer: -500*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-45) - (-114)\/(-90). Let q(u) be the first derivative of 10 - s*u**2 - 2\/15*u**5 + 1\/6*u**4 + 2\/9*u**3 + 0*u. Factor q(v).\nAnswer: -2*v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.113.\nAnswer: 0.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 0.5 (c) -2\/3 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/405 and 68\/9885.\nAnswer: 266895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6584581 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*l - 150*l - 92 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138174, -137696, -137228, -136776, -136346, -135944?\n\"Answer: -n**3 + n**2 + 482*n - 138656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 286*f = -8250. Calculate the highest common divisor of f and 3090.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4243, -8496, -12749, -17002, -21255, -25508?\nAnswer: -29761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66713559 and 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*t**5 + 2*t**4 - 55163*t**3 - 3891*t**2 + 2*t + 427.\nAnswer: -2160*t**2 + 48*t - 330978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 5, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -33735103?\nAnswer: -33735102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 747762 to the power of 1\/2, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6414372 = 51314977\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128, 1121, 1110, 1095?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4475433 divided by -4475433\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10 + 25\/42)\/((-13)\/156)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096608331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412 - -416. Is (-5 + s)\/(1\/15234*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181925881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137944944.00000148 - 137944969. Let r = 25 + q. Round r to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102121101 + 11?\nAnswer: -102121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddduuudddududduu. What is prob of sequence ud?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/77)\/(40\/(-14)). What is the closest to -2\/5 in -1, -2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let t(p) = -164*p**2. Determine l(t(h)).\nAnswer: -328*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -21. Let j be 6\/10 - (-6)\/n. Let x(l) be the second derivative of -l**5\/2 - l**4\/6 + l**3\/3 - l**2\/2 - l. Determine x(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 1 - 2*m + 3*m**2 - 1 - 4*m**2 + 1. Let r(i) = 4*i + 4. Let k = 6 - 12. What is k*r(o) - 13*q(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100111101111101101?\nAnswer: 100111101111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -20*p**2 - 182*p - 12. Let n be o(-9). Let f = 13 + -6. Solve -w + n = f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -18. Let j be ((-1)\/(-20))\/((-36)\/(-90)). Which is the closest to -1? (a) 0.09 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280225\/2433444 + 123\/988. Calculate the common denominator of -89\/12 and o.\nAnswer: 9852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8) - sqrt(16)\/sqrt(2)*5))\/(sqrt(84)\/sqrt(3) - -4*2*sqrt(7)) + -3.\nAnswer: -3 - sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i - 3*i - 4*i - i**2 - 2*i + 1. Let g(x) = -3*x**2 + 2*x. Let o be g(2). Let v be w(o). What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 - 64. Suppose h = 2*m + 2*m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15.378525 nanoseconds?\nAnswer: 0.00000000025630875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = -4*s. Let w = -3 - s. What is the second derivative of -p**5 - p - 6*p**2 + 6*p**w wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5796ml in litres?\nAnswer: 0.1865796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:22 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/16)\/x)\/((x**(-2\/65)*x)\/x) assuming x is positive.\nAnswer: x**(-813\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**3 - 10*v**2 - 6*v + 2. Calculate n(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 12065808*r + 9098982668304.\nAnswer: 4*(r + 1508226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 1 (c) -7447 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:48 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3962128419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*o*t + 2*n*t**3 - 61*n - 11*o + 2*t**3 with respect to n.\nAnswer: -o*t + 2*t**3 - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/97617 and -5\/37?\nAnswer: 3611829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/95813 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-9 + -3 + 0). Let f = c - 8. Suppose o + 66 = f*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -21. Let y be u\/4*28\/21. Suppose -8 + 0 = -y*k. Solve 0 = 4*c - 12 + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*a*l**3 - 139*a*l**2 + 119*a*l - l**3 + 31*l**2 + 66020*l wrt l.\nAnswer: -978*a*l - 278*a - 6*l + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + (-2 - (-6 + 17))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 8. Let c(g) = -2*g**2 + 10*g - 2. Let r be c(6). Let l be q(r). What is the second derivative of 43*w - 15*w + 0*w - l*w + 46*w**2 wrt w?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165686 - 82841 - 82847 + 842*o**2 to the form h*o**2 + v*o + i and give h.\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0265758 days in minutes?\nAnswer: 38.269152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**2 - 12*x + 7. Let b(y) = 30 - 4*y + 3*y - 31 + 2*y. Give 12*b(h) - l(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 4*c, 0*c = 5*c - 4*o - 36. Find the first derivative of 24 - c*y**3 + 2*y**3 + 4*y**3 + 27*y**3 wrt y.\nAnswer: 87*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 5*j + 29, -3*t - 4*j = 45. Let c = -10 - t. Let z(m) = m**2. Let g(q) = -3*q**2 - q - 1. Determine c*g(w) + 4*z(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9)*2 - 5) + 5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1014?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225315 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 - 262*b**4\/5 + 946*b**3\/5 - 382*b**2\/5 - 926*b\/5 + 644\/5 = 0.\nAnswer: -161\/10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -798 and 211.2?\nAnswer: -168537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*q**3*t**2 - 21*q**3*t wrt t.\nAnswer: 336*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -62*y + 30*y - 130 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 12*r**2 + 12*r + 7. Suppose -8 = -w + 5. Let z be p(w). Let y be z\/39 - (-1570)\/65. Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6104 divided by 14?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 567838 + -0.0927.\nAnswer: 567837.9073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*k + 17, -4*k - 2*l - 20 = -7*k. Suppose -3*n = -k*n + 24. Solve 5*t = 4*d - n, 0*d + 3*t + 27 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: e356e (base 15) to base 4\nAnswer: 2233303220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*10\/(-900)*(-70)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*d - 2*d + 4*d)*(-d + 2*d - 6*d) - 2*d**2 - 7*d**2 + 2*d**2)*(0 + 3*d + 0)*(-12 + 16 - 9) to the form c*d + o + g*d**3 + m*d**2 and give g.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2\/21*p**3 + 0*p + 13 + 1\/7*p**2. Factor o(t).\nAnswer: -2*t*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329393?\nAnswer: 329393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 0 + (13 - 11) + -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/(-494) + (-158)\/(-57). Let g(y) be the first derivative of 2*y**2 - 4\/5*y**5 - 2*y**4 - 4*y + 2\/3*y**6 - 5 + i*y**3. Find b such that g(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 697, 1114, 1587, 2122, 2725, 3402?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - 2*k**2 - 1. Suppose 0 = 3*w + v + 4, -4*v + 37 = -4*w + 5. Give m(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/2473 and -7\/75.\nAnswer: 185475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(214500\/17545) + 2\/26.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 482*w + 4951. Calculate l(-10).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32234b (base 12) to base 9.\nAnswer: -1436265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/47672 and 145\/7272?\nAnswer: 429048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 281, 283, 289?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 + 0*v**2 - 2*v**2)*(-1 + 2 + 3)*(0 - 2 + 3).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -797366 less than or equal to -797333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*z = 8*z - 48, -5*z - 5 = 0. Suppose -1263 = 23*u - 4253. Let a be u\/20*(-12)\/6. Is c at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*a + a - 4, a = 3*d - 1. Suppose d = -2*l - 2 + 6. Suppose -l*h + 4*h = 40. Solve 3*z = -z - h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 + 36*d + 162 = 0. What is d?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18784)\/(-10))\/(-8 - (-174)\/30). Let b = h + 858. Let l = -9147\/7 + 1309. What is the common denominator of l and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*a - 491 + 3341 = 15697 + 14247 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:12 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/6 + r**2 - 3*r. Let x be i(-7). Let g = 31 - 13. What is the greatest common divisor of x and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.3 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125846 - 248?\nAnswer: -125a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1038)\/2226 + (-3)\/(-7). Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - f - 5. Let p(w) = -8*w**2 - 2*w - 9. Suppose -597 = 877*v + 111*v + 6319. Let z = 4 + 0. What is v*c(u) + z*p(u)?\nAnswer: -4*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112091246 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 + 1 + 4 + 2 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7 - -1)\/(-36))\/(47\/(-94)))\/(3\/324).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14583357 to the nearest integer?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1213122020 (base 4) to base 6\nAnswer: 13024532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 + -4 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 813916111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7681453 less than -31.53?\nAnswer: 7681421.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690187 to the power of 1\/2, to the nearest integer?\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41693.12kg?\nAnswer: 41693120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/107 or -1?\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19638 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * -17\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*t - 333*i + 328*i, -t + 5*i - 23 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -2 + -4.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19630847713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/67? (a) -3 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310 (base 6) to base 12.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 + 4 - 4*u**2 - 3 + 3*u**3 + 3*u - 4*u. Let j be x(-5). Suppose 5*z + 6 - j = 0. Solve 2*i = -2, b + 0*i - 5*i - z = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 714823920.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 143 = 2*n, -3*n - r + 3*r = -225. Let d be (1\/(-2))\/((-3)\/126). What is the first derivative of -d*f + f - 66 + n wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czc when three letters picked without replacement from {c: 3, z: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 10) in base 12?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*r = -7*r - 70, 0 = 2*f + 5*r - 35. Suppose -f = -4*x + x - t, 4*x + 5*t - 31 = 0. Factor 0 - 55\/3*v**3 + 4\/3*v**2 - 100\/3*v**x + 4\/3*v.\nAnswer: -v*(4*v - 1)*(5*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/5))\/z*z)\/z**14)**(-6\/5) assuming z is positive.\nAnswer: z**(408\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228) - -1*sqrt(228))))*5)\/(3*sqrt(108))*4.\nAnswer: 40*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + b?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(11)*3*4)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -833.375 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 25*z - 83. Let l be u(3). Let g = 20915 - 460035\/22. What is the common denominator of 10\/l*((-196)\/(-12) - 9) and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*c**6 + 133*c**4 - 13173*c**2 + 29 wrt c?\nAnswer: 13320*c**3 + 3192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335291796 divided by -1692.\nAnswer: 198163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - ((sqrt(432) - (sqrt(432) + -1 + -4)) + sqrt(432) + sqrt(432) - sqrt(432)))**2 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37127680.\nAnswer: 2, 5, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 55 = a, n = -6 + 1. Let d(m) = 2*m**2 + 7*m + 5. What is the remainder when a is divided by d(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-136182\nAnswer: 2723640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1675.2 + 1675. Is b != 1\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 11 + 3 = -2*l, 3 = -w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 738951.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7198 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -0.87 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3295, -6479, -9683, -12913, -16175, -19475, -22819, -26213?\nAnswer: -29663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3036 + -3029. Solve 4*x + r = -z, 5 = 3*x + 5*z + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, 124, 552, 1284, 2362, 3828?\nAnswer: 5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.93 - -0.07. Let g = 3.9 - i. Let q be (-149 + 16)\/19 + (-106)\/(-16). Which is the closest to 2\/5? (a) g (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113115795 divided by 1\nAnswer: -113115795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 12. Suppose 3*u - 5*u = -6. Suppose 2*m + 0*m = -p*w + 12, 0 = -u*w. Solve -2*y = -m*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/(s\/(s**1*s)))**(-1)*s**(-2\/19)*s**(3\/8)*s**(-3\/2)*s\/s**(1\/8) assuming s is positive.\nAnswer: s**(353\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2846 and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2758614 to the nearest ten thousand.\nAnswer: -2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 3*y - 522. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - o + 14 = 0, -2218*m + 2213*m + 45 = 5*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2415*v**2 - 1210*v**2 + 7*v**3 - 1204*v**2 + 7*v**3. What is x(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25942439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - (-2 - -7)) + (-2 - -4 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65274831 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*t + 6 = -3*t, -5*t = -3*c + 26. Suppose -5*r + l - 2*l + 8244 = 0, -5*r + 8247 = -c*l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x + 30. Let g be l(-9). Suppose -5*m - 21 - 4 = 0, -154 = -g*r + 2*m. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-1)\/8*-2))\/(16\/24).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -3)*(-2 + 3). What is the lowest common multiple of (t + -12)\/(4\/(-8)) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/11 + -1)\/(1 - 0). Let h(w) be the second derivative of 0*w**2 + 0 + y*w**3 + 1\/12*w**4 + 2*w. Let v(r) = -4*r**2. Give h(v(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 1101, 2562, 4609?\nAnswer: 7242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 19*q**2 + 0*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36331 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: Four letters picked without replacement from fzfqzzqzffzf. Give prob of picking 2 f and 2 z.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2 + 1 - -1) + 7163\/(-4147)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f\/(f\/(f*f*(f**(1\/6)\/f)\/f)*f))\/(f**(-4\/5)*f**3) assuming f is positive.\nAnswer: f**(-197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 7}. Give prob of sequence ul.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 - 2*f + 4. Let p(b) = -b**3 + 14*b**2 - 14*b + 10. Let k be p(13). Give z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18844 (base 15) to base 13.\nAnswer: -2a247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -107?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22252 + 73610. Suppose -u = -3*j - 58. Round j to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(128) + sqrt(128) + -5 + -2)**2 + -2 + 5.\nAnswer: -336*sqrt(2) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juqiiiququy. What is prob of sequence uiy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:53 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let f be s(0). Let q(m) = m**3 + m + 16. What is the least common multiple of q(f) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204*(897\/138)\/(-13).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = 787*x - 18392. Let h(p) = 12*p**3 - 2*p**2 - 4*p. Let w be h(3). Let o = w - 179. What is the greatest common factor of o and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - 90) + (1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 12. Let v be n(9). Let q be 40\/v - 8\/12. Suppose 0*y = -2*y + 2*a + q, 4*y = -3*a + 33. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14201.67835 + -14202. What is c rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 334 + 62 = 77 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15618*v**5 + 2002*v**2 - 6864*v**2 - 20161*v**5 wrt v.\nAnswer: -272580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 4*g - 4. Suppose 4*l = -20 + 4. Let s be b(l). Suppose 4*j - 1 = 7. Sort j, s, 4 in ascending order.\nAnswer: s, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/57 + (625288\/19 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10115736 and 7815.\nAnswer: 50578680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 188.9?\nAnswer: 217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u - 7. Let x be d(-5). Let o = 259 - x. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 + 0*n**2)*(0 + 4 - 2)*(15 - 3 + 8)*(4 + 4 - 1).\nAnswer: -280*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - 8*h**2 + 25*h - 5. Let y be 1 - (130\/(-5) - 2). Suppose 11 = 5*l - y. Is g(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -j + 757 + 192, 3*s = -5*j + 929. List the prime factors of s.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = -127*z - 3*z - 130*z - 8364 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 135162?\nAnswer: 13\/135162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131042504352 - -131042537045.0039929. Let j = w + -32692.86. Let r = j - 0.144. What is r rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 1, 3, 6, 104 in descending order.\nAnswer: 115, 104, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/54*60\/35?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1)**(-26)*u**(-4)*u**(3\/2) assuming u is positive.\nAnswer: u**(-109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o**3 + 17*o**2 - 17*o + 3. Let q(v) = -4*v**3 + 6*v**2 - 6*v + 1. Determine -6*k(a) + 17*q(a).\nAnswer: -2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1458*p + 29195. What is w(20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/20)\/(4\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -12123?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1397*d**3 + 3*d**2 + 1097*d wrt d?\nAnswer: 8382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -57162 divided by 42\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/((-21)\/12*(-204)\/306).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k*n*u**4 - 140*k*n + 6*k*u**3 - k + 42*n*u**4 + 2*n*u + 9*u**2 - 1 wrt u?\nAnswer: 72*k*n*u + 36*k + 1008*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**7*q*q**(-3\/8))\/(q*q**(1\/13)*(q**(2\/27)\/q)\/q) assuming q is positive.\nAnswer: q**(26603\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 4:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n + 6. Let j(u) be the third derivative of -3*u**4\/8 - 5*u**3\/6 - 7037*u**2. Determine 4*j(v) + 3*m(v).\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -0.06 (b) 0.12 (c) 0.1 (d) 10272 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 - 2*i - 1. Let a(s) = 6*s**2 + 2*s + 3. Let n(m) = -2*a(m) - 3*b(m). Let q(w) = 8*w**2 + 6*w - 10. Give -10*n(t) + 3*q(t).\nAnswer: -6*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7699*d**2 + 25861 wrt d.\nAnswer: -15398*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 51*a + 59. Let i = -321 + 360. What are the prime factors of f(i)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/9)*u)**(-40) assuming u is positive.\nAnswer: u**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((4 - 3) + -2). Find the common denominator of -47\/14 and 0 - w - 59\/(-12).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:21 AM?\nAnswer: 227","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -16429?\nAnswer: -32858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (-5 + 58) - -60\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - 5*x**4\/24 + x**3\/2 + 7*x**2. Suppose 2*a = -4*q - 34, -3*a - 16 = -1. Calculate o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = -5*h - 72, -5*z + 4 = -2*h. Let f = h + 17. Solve -j = -y - 1, -y + 0*y = -f*j + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i - 3*i. Suppose -7*d = 4*d - 11. Let v(c) = 213*c - 5*c**2 - 209*c - 2 + 3. Let b(r) = -r**2 + r. Determine d*v(t) + i*b(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**4 - 87891*c**3 + 214651770*c**2 - 357450276*c - 143003544 = 0. What is c?\nAnswer: -1\/3, 2, 4882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i. Let t(u) = -52*u**2 + 1. What is t(k) + w(k)?\nAnswer: -51*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgggjttttggggtggggtt. Give prob of picking 1 j and 1 g.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a - 4*a - 2*a - 3*a - a + (3 - 5 + 1)*(-2*a + 2*a + 2*a))*(102 + 119 - 86) - a + 2 - 2.\nAnswer: -1486*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1316 = -832943\/633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177.5833 - -175.9024856. Let h = -1.83081 - c. Let q = h - -0.15. What is q rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -649 + 634. Let p be ((-5)\/(45\/(-6)))\/(k\/45). Let o be 3\/(-6)*(-3)\/7. Which is the closest to -0.2? (a) p (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 5. Let j be a(-1). Suppose o - 12 - 8 = j. Suppose -20*l - 320 = -22*l. Calculate the greatest common divisor of l and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113\/6503 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231795 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) -4 (c) -0.09 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2\/13)*j)*j**1)\/(((((j\/(j*j**3)*j)\/j)\/j)\/j*j*j*j)\/j**6) assuming j is positive.\nAnswer: j**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93.6 - 181.3. Let g = -88 - a. What is the second biggest value in -3, 1\/97, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*v - 12110 = -570*v + 288*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 + 17*b**2 + 23*b + 11. Let z(j) = -3*j**3 + 8*j**2 + 11*j + 5. Let f(v) = -4*o(v) + 9*z(v). List the prime factors of f(6).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 4*m**4 + 3*m**4 - 1)*(0 + 0 - m + (2*m - 3*m - m)*(4 - 3 + 1) - 3449 + 99*m + 3449).\nAnswer: 94*m**5 - 94*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 155*c**2 + 1584*c + 245. Give k(144).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -33, -47, -63, -81, -101?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/4)\/(-9))\/(4\/32*-41)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i, -15 = -5*b - 3*i + 61. Calculate the remainder when 63 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 51, 56, 59, 60?\n\"Answer: -s**2 + 10*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5356 - 5353. Solve 5*v - 5*b - 30 = 0, v - 22 = -3*v + f*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 63 + 83, 0*s - 5*y = -3*s + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let z(i) = 2*i + 2. What is 4*l(v) + z(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -26. Suppose -3*t = -4 + x. Let s(g) = 2*g**3 - g**2 + g + 1. Let p(n) = n**3 + n**2 + n + 1. Calculate t*p(h) + s(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 871, -4, 1 in decreasing order.\nAnswer: 871, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 8*a**2 + 3*a - 4. Let x(o) = -14*o**2 + 33 - 3*o**2 + 6*o**3 - 5*o - o - 26. Let u(z) = 5*j(z) + 2*x(z). Suppose u(t) = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 2*y - 553. Let p = -441 + y. Calculate the greatest common divisor of p and 817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**8\/20160 - h**7\/630 + h**6\/45 - h**5\/20 + 10*h**2. Let k(b) be the third derivative of a(b). Factor k(s).\nAnswer: (s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let c(z) = 1. Let v = 110 - 83. Suppose -w - 2*w - 5*q + 71 = 0, 0 = w + 5*q - v. Suppose -w*h + 17*h = 20. Give h*c(k) - t(k).\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dza when three letters picked without replacement from afdzazffaf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*50\/(-60)*(-6)\/2*(-456)\/1330?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**2. Let f(g) be the second derivative of 0 + 0*g**2 + 1\/4*g**4 + g + 0*g**3. What is s(f(k))?\nAnswer: -54*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -17\/3*w**3 + 0*w**4 + 27 + 0*w - 21\/5*w**5 + 0*w**2. What is the third derivative of c(p) wrt p?\nAnswer: -504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24902089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 261 + 44)*(5 - 5 + 3*q**3).\nAnswer: 609*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 24*z**2 - 62*z - 10. Suppose 2*c - 4 = 2. What is the smallest common multiple of c and u(21)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 31*g. Let p(f) = 5*f + 6. Let z(m) = -25*m - 33. Let h(v) = 22*p(v) + 4*z(v). What is h(c(u))?\nAnswer: 310*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m - 19. Let l be j(13). Let b = l + -95. Solve 2\/9*n**b + 0*n + 0 + 2\/9*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3269, 6508, 9675, 12734, 15649, 18384, 20903?\n\"Answer: -6*d**3 + 3281*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(14\/9)*z*z**(2\/3) assuming z is positive.\nAnswer: z**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcu when three letters picked without replacement from uwwcucww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602096 and 410432?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-50)*15\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 13) to base 3\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5b92 - 1b40?\nAnswer: a4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67107510?\nAnswer: 2, 3, 5, 97, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3191761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 433*d**2 - d**4 - 7*d**4 + 605*d**2 + 1764*d**5 - 1767*d**5 wrt d?\nAnswer: -180*d**2 - 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1090335228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 39 = -k, 5*k - 4*r + 119 + 163 = 0. Sort -1, -4, k, -2 in descending order.\nAnswer: -1, -2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**3 - 24*o**2 + 196*o - 508. Let j(d) = d**3 + d + 1. Let a(y) = h(y) - 4*j(y). Let a(c) = 0. Calculate c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - 0.3. Let x = 4.02 + -0.02. Let j = 79.6158 + -77.6158. Which is the nearest to -2\/3? (a) x (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = a - 30. Suppose -45*x = -a*x + 69. What is the greatest common divisor of 69 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let p be 1 - (0\/(-2) + m). Let j be -1*((-63)\/3 + 1). Solve -j = -p*o - o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1767828887\/816612 - 3\/272204. Let t = j + -2178. Calculate the common denominator of t and 5\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5\/11 - 47*p**4\/11 - 105*p**3\/11 - 5*p**2\/11 + 108*p\/11 + 52\/11 = 0.\nAnswer: -13, -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 1, w: 6, c: 2, h: 3}. What is prob of sequence hhrh?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1059.\nAnswer: 4\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5*(-16)\/140)\/(4\/14). Suppose 925 = w*s + 183. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 107*f**3 - 31*f + 61. What is the tens digit of g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 + 4*f - 1.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 4. Let w be q(6). Suppose -24 = 6*t - 4*t. Let o be 21\/t + (-2)\/(-1). Which is the nearest to 1\/3? (a) w (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07704372 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmaa when four letters picked without replacement from {a: 3, m: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-163)\/(-11) - (-8)\/44. Suppose 4*t - 13 = v. Solve -5*c = t + 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*l - l, 0 = 5*z - 3*l + 31. Put -1, z, 7 in descending order.\nAnswer: 7, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.059, 2\/11, 1\/2, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from trkklknlrtkkqrtkkk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 1 + 11*q - 1.\nAnswer: 11*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, x: 3, o: 4}. What is prob of picking 1 o and 1 e?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63034019 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21698*w + 2. Let r(c) = 939*c**2. What is a(r(y))?\nAnswer: 20374422*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*g + g + 10, -5*m - 14 = 3*g. What is the third derivative of -2*d**g + 39*d**5 - 36*d**5 - d**2 wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 - 464\/174)*-9*(-360)\/8550?\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7469*p**2 - 321168*p + 50. Determine h(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*y**2 - 147*y**2 + 71*y**2 - 2.\nAnswer: -6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03172327 rounded to four decimal places?\nAnswer: 0.0317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/74*(-140)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 59 = 59. Which is the closest to y? (a) -2\/3 (b) 5 (c) 15\/8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219202.\nAnswer: 2, 127, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j\/(j**5*j))\/j*j))\/((j**(3\/17)*j*j)\/j*j)*(j**(-19))**22 assuming j is positive.\nAnswer: j**(-7007\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, -3, 2 in ascending order.\nAnswer: -5, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -224506 (base 7) in base 13?\nAnswer: -152bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17099*u + 17102*u = -7*b - 4, 0 = 3*b - 3*u + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*((-1 - -1) + 0). Let w be c\/(-2 - -3) + 48. Suppose w = -0*l + 4*l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v + 2. Let j be i(1). Let w = 16 + j. What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20895 divided by -597\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -123315 and 123878915?\nAnswer: 124002230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:42 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*p - p. Is 2\/p + 1974\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 176*y**2 - 3361*y + 431. Calculate x(60).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 39+26232\nAnswer: 26271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 46 + 38. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 24 + -35 - 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*g**5 + 5*g**5 - 10*g**5 - 2*g + (0*g**2 + g**2 + 0*g**2)*(-2*g**3 - 2*g**3 + 6*g**3).\nAnswer: -29*g**5 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/25, -2, 0.8, -18, 6.4.\nAnswer: -18, -2, 4\/25, 0.8, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8812531 and 8570.\nAnswer: 88125310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 5623272*f - 2635098998832.\nAnswer: -3*(f - 937212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 51. Give f(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.446 - -0.146. Let q = -128 + 129. Put n, q, -1\/4, 0 in descending order.\nAnswer: q, 0, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 5. Let q(w) be the second derivative of -2*w + 1\/40*w**6 + 1\/40*w**a + 0 - 1\/12*w**3 + 0*w**2 - 1\/16*w**4. Factor q(h).\nAnswer: h*(h - 1)*(h + 1)*(3*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orrq when four letters picked without replacement from qbboqorboruqoobbbbqu.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 5. Calculate v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12796\/((-25)\/(-10)*8\/5).\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -0.2 (c) -4 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9850 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (234 - 480 + 199)*(0*r**2 - 2*r**2 + 3*r**2)*(-1 - 2*r + 1).\nAnswer: 94*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 4 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318863747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 108 = p, 0*p - 3*p = 2*f + 108. What is the common denominator of -167\/30 and (4\/(-6))\/(-3 + f\/(-22))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -40. What is the units digit of (a\/(-10))\/((-2)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243224032 (base 5) to base 9.\nAnswer: 2140568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {t: 1, p: 1, m: 1, c: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 1842 = 16*u. Let h = 376 - u. Let a be h\/54 + 4\/(-3). Solve -p - j - a = 3*j, -4 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0267494 - 0.03675. Let b = 3 - 3.01. Let z = y - b. Round z to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r**2 + r + (-3 - r + 3)*(6*r - 4*r + 0*r) - 2*r + 2*r - 2*r**2 - 824*r**2 + 1742*r**2 - 745*r**2.\nAnswer: 170*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -11*u + 15. Let h be 0 - (4\/(-1) - u). Let w(i) = i**2 - 4*i - 5. Determine w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/60 + f**4\/2 + 2*f**3\/3 - 56*f**2. Calculate d(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least as big as -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (415*8\/(-40))\/(-1). Solve -2 = p + 2*s, -q*p = -88*p - 2*s - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 0*z - z)*(-4 + 3 + 0)*(0 + 1 - 2 + 10 + 10 - 13 + 7 - 3 - 2 + (2 - 1 - 2)*(-3 + 6 - 2)) to n*z + f and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 9*n - 14. What is s(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -5 (c) -4 (d) 0.09 (e) -2022\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 24*v**2 + 51. Suppose -207 + 39 = 7*d. Let n be g(d). What is the second derivative of 2*l**3 + n*l + 18*l**2 + 1 - 19*l**2 - 1 wrt l?\nAnswer: 12*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5769868*x**5 - 7571632*x wrt x?\nAnswer: 115397360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 2*a - a)*(-9 - 31 + 6)*(2 - 1 + 0) to r*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -97*m + 102*m + t, 5*m - 22 = -3*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -364*z**2 - 8*z + 17781. Let b(l) = -122*l**2 - 3*l + 5927. Let g(m) = -11*b(m) + 4*r(m). Differentiate g(h) with respect to h.\nAnswer: -228*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*u - 10 = 0, -26*b + 57*u = -22*b - 285 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033678 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l**2 - 4. Let b(o) = 20*o**2 + 5. Give -3*b(z) - 4*v(z).\nAnswer: 20*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 9. Let q be x(-6). Solve 0 = -3*m - q*v + 12, 4*m + 2 = 3*v - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from dmgggggmdgggggggqgg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 16*j - 15. Let h = -103 + 88. Let s be g(h). Which is the closest to 1\/10? (a) 0.4 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*r + 210, -3*x + 7*r + 112 = 3*r. What is the remainder when 332 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45*n**2*s + 57*n**2 - 260166*n*s - 81331*n wrt s.\nAnswer: 45*n**2 - 260166*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02653844685 to 6 dps.\nAnswer: -0.026538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -304, -442, -556, -634, -664?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34122947523 - 34122947378.000002084. Let j = p + -145. What is j rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (5*sqrt(95)*-2 + sqrt(95)))\/(2*sqrt(500) + sqrt(500) - sqrt(500)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 + 1238*r**4 - 204*r**3 - 1179*r + 294 wrt r.\nAnswer: 20*r**3 + 14856*r**2 - 1224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2813\/9 - -312. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 2, -1026, 30, -3, -5 in ascending order.\nAnswer: -1026, -5, -3, -2, 2, 8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 42117 = -3*a, -21*a + f - 28083 = -19*a. What are the prime factors of (-24)\/168 - a\/14?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 - 12*m - 2. Let g(i) = -5*i**3 - 18*i**2 + 72*i - 9124. Calculate -g(n) - 6*o(n).\nAnswer: -n**3 + 9136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -100100010001010111?\nAnswer: -100100010001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57252.78 seconds to microseconds.\nAnswer: 57252780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -68, 2, 4, -3, 1 in descending order.\nAnswer: 4, 2, 1, -2, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-226)\/24 + 1\/(-4). Let u = b + 9. Let f be 6\/14*14\/(-4). What is the closest to 1 in u, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + -2 + ((sqrt(1260) - (sqrt(1260) + -3*sqrt(1260)))\/sqrt(7))**2 + -4 + sqrt(20)\/sqrt(4) + (sqrt(5) - -1*(sqrt(5)*-2)**2)).\nAnswer: -8165 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -1342, -2742, -4628, -7000, -9858?\nAnswer: -13202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 39\/78*32\/6*612\/48\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -47*k + 2. Let w be i(1). Let h be 6162\/(-160)*(-5)\/w. Let u = -11\/80 + h. Calculate the common denominator of 145\/24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - y = -0*y - 4, -4*y = -5*i + 26. Solve -p + 2*c + 4 = i*p, -12 = -3*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f + 319 - 247 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1300426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -17 + -11 - (24 + 12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 537, 1060, 1583, 2106?\n\"Answer: 523*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1049 = 236. Suppose q - 25 = -x. Let a = -176 - q. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84987571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11055\/(-660)*80\/(-536).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Let q be (-19 - -10)*(0 - x\/3). What is the third derivative of -c**6 + 523*c**4 - 523*c**4 + 23*c**2 + 30*c**q wrt c?\nAnswer: 3480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*v - 51 = -3*v, -4*v = 3*i - 60. What is the lowest common multiple of i and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/((-2)\/4). Let p be (0\/(-2))\/(d + -2). Suppose 6*f - f - 30 = p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 5*m**2 + 4*m - 1. Let o be h(-3). Suppose -23 = -5*x - 4*q + o, 3*x - 2*q = 8. What is the derivative of -2 - 2*z + 2*z - z**x wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 211941 and -0.1.\nAnswer: -21194.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 18 + 107 - 112\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436009 (base 10) to base 6.\nAnswer: 13202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14410575.0609 less than 1?\nAnswer: 14410576.0609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 3*g**2 + 6*g - 5. Let z be c(3). Let l = z - 36. Sort -4, 1, -1, l in increasing order.\nAnswer: -4, -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do -18 and -187776\/10019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 291009053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**5\/12 + 5*t**4\/24 + 13*t**2. Suppose c(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*385\/(-154)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -0.6, -5.4.\nAnswer: -5.4, -7\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 4*n - 90. Suppose 0 = 5*m + 5*x - n, -2*m - 4*x + 20 = -x. Let d = 13 - m. Solve 5*r + d*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1001100010011?\nAnswer: 1001100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (242*i - 600*i + 291*i)*(-1 - 1 + 3)*(-1 + 7 - 3) in the form x*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*u**3 - 17*u**3 + 72*u**3 + 12 - 19*u**3 - 21*u**3 + 26*u + 3*u**2 + 205*u**5 wrt u?\nAnswer: 12300*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.239 + 120.239. Let u = 118.69 - v. Let h = u - -1.2961. What is h rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13112)\/(-55))\/((-1)\/1285). Let w = 869344 + i. What is w rounded to the nearest 10000?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*i - 36 = 0, -r - 4*i = -5*r. Let n be r*5\/60*6. Put -2, n, -10 in increasing order.\nAnswer: -10, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 12. Let u = -7.95 - j. What is u rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 7\/(-49)*0)*319\/(-110).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, 4, -11 in descending order.\nAnswer: 4, -1, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/((-3)\/2)). Suppose 3*h - 27 = 2*t, 2*h - 5*t = -s*t + 18. Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5. Let u(q) = q + 11. Let h(o) = -5*k(o) + 2*u(o). Let i(y) = 4*y - 5. Calculate 7*h(m) - 4*i(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/5*i**2 - 48\/5*i - 3\/5*i**3 - 36\/5 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 188. What is the remainder when x is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*a - 71*a - 418*a**2 - 135*a + 416*a**2 to f + x*a**2 + u*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7903*v + 15329*v - 1374*v**5 - 8140*v wrt v?\nAnswer: -27480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181734 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7+248.847\nAnswer: 255.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let c = 1 + s. Let d = 7 - 2. Put d, c, 1 in decreasing order.\nAnswer: d, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**2 - 1\/6*y**4 + 2*y + 0 + 0*y**3. Determine h so that j(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6032 and 854659.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949121.\nAnswer: 949121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292765541 to the nearest integer?\nAnswer: 17110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-694008)\/34272*(-2)\/90?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 1. Let g(w) = w. Give 2*g(s) + 2*x(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-25)\/140*2\/5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-450)*-6*2\/(-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from {g: 2, y: 3, f: 5}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 + o + 8. Let v be n(0). Solve -3*k - 4*p - 10 = -v*k, 3*k - 2*p = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*a**4*h**3 + 25627*a**3*h**3 + 3*a**2*h**3 + 1898272 wrt a.\nAnswer: -3816*a*h**3 + 153762*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 951768 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14172*s - 275065 = -6313*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.2. Let g = -3459 + 3456. Let p be -1 - (0 - 7 - -2). What is the second smallest value in p, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/184*-20*(-27)\/405)\/(-1).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6189543 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*o + 47 + 110, -2*m + 4*o = -304. What is the remainder when 3252 is divided by m?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93678285 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: Suppose -3*p + 0 + 6 = 0. Suppose 4*c = -3*v + 236, -p*c - 4*v + 11 = -107. Suppose 5*m - 18 = 82. What is the remainder when c is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 1. Let i(l) be the second derivative of l**4\/12 - 5*l + 18. Determine v(i(n)).\nAnswer: -5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 2*u = -20*r + 25248, 0 = -2*r + 5*u + 16851. Does 87 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 1629, 3550, 6205, 9594, 13717, 18574?\nAnswer: 24165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**4 - 120*d**3 + 918*d**2 + 6*d - 6. Let q(b) = -3*b**4 - 240*b**3 + 1836*b**2 + 14*b - 14. Let o(w) = 7*n(w) - 3*q(w). What is p in o(p) = 0?\nAnswer: 0, 9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*i - u + 297, 97 = i + 3*u. Calculate the greatest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/65 (b) -1\/3 (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(-10)*(x\/(x\/(x**(-4\/3)\/x)*x)*x)**(-16))**(-32) assuming x is positive.\nAnswer: x**(-3968\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634637702.\nAnswer: 2, 3, 272439617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-2) - 2)\/2. Let u be 1 + -3 + o + -1762. Is (u\/(-4) - -1) + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 + d**3 + 41*d**2\/2 - 21*d.\nAnswer: -d*(d - 7)*(d - 1)*(d + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 397607 < 397608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b - 25. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7.22. Let p = -0.779864 + t. Round p to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o = 0. Suppose o = -13*f + 3*f + 370. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Let b = 118 - 115. Determine m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/108*-30*2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1. Let v(c) = -6 + c + 5 + 5. Let n(z) = -4*t(z) - v(z). Let q(m) = 2*m**2 - 3 + 3. Give n(q(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2107.\nAnswer: -6321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.778723 + 0.3228.\nAnswer: -23.455923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 - -7. Let o = -0.5 - 0. Let y = 0.13 + -0.13. Put h, o, y in decreasing order.\nAnswer: h, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*p**5 + 100*p**4 + 8*p**3 = 0.\nAnswer: -1, -2\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 1, -12, 324?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from fjo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*b - 13*b. Suppose 13 = -3*x - 5. Calculate the remainder when b\/4 - 387\/x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (6 + -3)*18. Which is the biggest value? (a) p (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*l + 99 + 6*l + 2*l + 7*l)*(-201*l**2 + 473*l**2 + 34*l**2) in the form k*l**2 + j*l + z*l**3 + v and give z.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19174457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721 = 3*a + 730 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38710 and 1696870.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 2. Let s(v) = -285*v**2 + 76. What is -38*h(r) + s(r)?\nAnswer: -171*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17368 by 4.\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/10)\/((-14980)\/112350)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -339 (base 14) to base 16\nAnswer: -27f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 - 113*j**4\/8 - 7*j**3\/8 + 72*j**2 + 9*j\/2 = 0. Calculate j.\nAnswer: -6, -3, -1\/16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, -10, -137, -2\/13 in descending order.\nAnswer: 22, 3, -2\/13, -10, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 73, 93, 131, 193, 285, 413?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, 25, -4 in decreasing order.\nAnswer: 25, 8, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40838746*s**5 - 38668831*s**2 wrt s.\nAnswer: 2450324760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -2 (c) 6\/3287 (d) -4 (e) 5 (f) 2 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25350*j*p**2 + 184*p**2 + 15*p wrt j?\nAnswer: -25350*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 37 = -109, 2*v + 2*t - 1943988 = 0. Round v to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1020005 + 324303?\nAnswer: -251302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 2, 9 in ascending order.\nAnswer: 2, 9, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 + i + 5. Let p be x(-5). Suppose -3*q = -p*q - 33. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 s, and 1 w when four letters picked without replacement from wsmttmp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 27. What is v(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627)*1)\/sqrt(11) + sqrt(57)*-2*-4)\/((sqrt(144)\/(sqrt(6)*1))\/(sqrt(32)*-1)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(833))**2 + -3.\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a - 8*a + 7*a**3 + 2*a in the form x + k*a + y*a**2 + u*a**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*g + 12069 = -100*g. Sort 0, -2, g, 4.\nAnswer: -2, 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21852603 by -57.\nAnswer: -383379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -329*i. Let y(h) be the second derivative of -h**4\/6 + 5*h - 7. Calculate y(s(o)).\nAnswer: -216482*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - n**4 - 2*n - 2*n**4 + 2*n + (-3 - 3*n + 3)*(-4*n + 4*n - 5*n**3).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60 + (-2)\/(-6)*3. Suppose 0 = -3*z - u + 13. Let g be ((-28)\/8 - -2)*z\/6. Solve 0 = 5*t + 3*k + 16, -2*t - 2*k + g = -6*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-42))\/(1\/(-153))*40. What is the highest common divisor of a and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 6. Give b(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 514 - 1779. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 74 = -5*h, -56 - 147 = 3*j + 4*h. Let t be -6 - j\/9 - 8\/6. Which is the nearest to -2? (a) 2\/69 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 26 + 5*x + (-x + 6*x - 3*x)*(2 - 1 + 0) - 5*x - x + 2*x + (0*x + 0*x + x)*(0 - 2 + 4) to y*x + t and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 11704?\nAnswer: -65\/11704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -101774876 to the nearest ten thousand.\nAnswer: -101770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.96. Let h = 1.76 + r. What is h rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 5*c + 0*c + 1 - 1 + 3*c + (5 - 1 - 2)*(2*c + 3*c - c).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 752 or 777?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4166, -8731, -13298, -17867, -22438, -27011, -31586?\nAnswer: -36163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, y: 2, w: 5}. Give prob of sequence yyww.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31504048 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-42) - (-1468)\/14. Calculate the highest common factor of 42 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 476 (b) 1\/3 (c) 8404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593967577.\nAnswer: 7, 89, 953399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 1830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(20\/14) + -3. Factor -1\/4*z**2 - 1\/4 + w*z.\nAnswer: -(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-24)*b*b)\/b)\/(b\/(b*b\/b**(-2\/9))*b) assuming b is positive.\nAnswer: b**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 485717 (base 10) to base 6\nAnswer: 14224405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2780556?\nAnswer: 2, 3, 139, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(13)*-2 + 1*sqrt(13)*4 - (sqrt(364)\/sqrt(28) + sqrt(52))\/((sqrt(32) + sqrt(8))\/sqrt(2)).\nAnswer: 3 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from nnneene.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 8107364 and 121610468\/15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 33. Let t = 55305.145 - 55284.1450072. Let r = t - s. What is r rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113223 (base 4) to base 12.\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-60))\/(2\/27568) + (-1268)\/3170. What is the greatest common factor of a and 1431?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let q be n(0). Let i = -0.1797 + -0.3203. Sort 1, q, i.\nAnswer: i, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5327 by -9915.\nAnswer: -5327\/9915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112*s**4 - s**3 - 442 wrt s?\nAnswer: -448*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -368925942+-55\nAnswer: -368925997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = 7*l. Let g = l - -8. Solve a = 4*a + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthnhnhhhhhbahahba. Give prob of sequence bnb.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/18 - (11778\/(-36) + -9). Let t = 592 - z. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -117.3. What is g rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 137. Let z be -4 + ((-12)\/3 - 0). Let a = 16 + z. Solve 16 = x*k - 3*l, 0 = -2*k + 2*l - l + a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:22 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Suppose z*h + c = 3*c + 68, -2*h + 77 = 5*c. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from bkhahkhbebl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o - 9. Suppose -13 = -4*r - o. Is -1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**2. Let o(u) = 21*u. What is o(w(d))?\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + j - 5)*(-3 + 1 + 3)*(1 - 1 + 2).\nAnswer: 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 10 + 9 + 3*l)*(0 - 1 - 1).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21597721 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 8 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - ((sqrt(171) - (0 + sqrt(171))) + -1) - (4 + -1*sqrt(171)))**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 250766, 250466, 249962, 249254?\n\"Answer: -102*m**2 + 6*m + 250862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 25) + 75 + -20.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -136. Suppose 3*t - 40 = 2*t + 5*y, -v = -2*t + 4*y. Suppose 7*m = 4*m + t. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 + 7*j**3\/3 - 7*j**2\/2 + 4*j - 15. What is p(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s - 28. What is the remainder when 1775 is divided by h(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**3 + b**2 - b. Give g(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16472 = 2044*u - 251*u + 266*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5)*y)*y*y*y*(y**4\/y)\/y)**(-3\/20)*y**(-4)*y\/y**(-2\/5)*(y**(1\/4)\/y)**(28\/5) assuming y is positive.\nAnswer: y**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + 4*t + 3. Let k(z) = -4*z**2 - 2*z - 1. Determine 5*k(y) + 2*n(y).\nAnswer: -6*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 - 77*i + 659. Calculate t(9).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 51*u - 435. Calculate the least common multiple of n(-7) and 852.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 103. Let k = v - 129.9858. What is k rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 + 5*l. Let c be p(-6). Let f be (-4)\/(1\/2*1). Let m be (-10)\/f*(15 - 3). What is the highest common factor of c and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0686 + -287.0314. Let y = 306.0412 + -0.0412. Let d = c + y. What is d rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssn when four letters picked without replacement from snnnnssn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 48515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 10 + 852\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t = -59 - 261 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1798912?\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6039, 0.26, -87 in decreasing order.\nAnswer: 0.26, -87, -6039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3261, -12986, -29195, -51888, -81065, -116726, -158871?\n\"Answer: -3242*h**2 + h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 54) + 31 + 26 - -21?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9660 + -9643. What is the remainder when (82\/3)\/((-2)\/(-6)) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 34*j - 36. Let z = -4 + 2. Let d = -2.1 - z. Which is the second biggest value? (a) d (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0 + 0*m**2 + 5*m - 1\/6*m**3. Let a(t) = t + 1. Let s(c) = 2*c**2 + 3*c + 3. Let x(f) = 3*a(f) - s(f). Calculate x(r(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Suppose -4*z = -8*z - 4*z. Let y(k) be the first derivative of 29\/2*k**2 + 2 + z*k. Calculate y(w(g)).\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27717 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ettt when four letters picked without replacement from {t: 7, e: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 23*z\/4 + 45\/2.\nAnswer: (z - 18)*(z - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 266609.5mm?\nAnswer: 266609500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a - 4. Suppose 0 = -11*t + 10*t - 5. Let j(x) = -3*x - 2. What is t*j(y) + 2*q(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27) + 24\/135.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5. Determine l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-11952)\/(-3486)*2\/(-6)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036302079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17076961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 4*g**2 + 8*g - 4. Suppose 6*d + 10 = 8*d + 5*x, 4*x = -d + 5. What is b(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/20*4\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -788 - 1312. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 27274450575449?\nAnswer: 27274450575491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(75\/(-27)))\/(1983\/16525)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8193315901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1*(143\/11)\/104.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -52, -76, -102, -130?\n\"Answer: -f**2 - 19*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36\/99 + 4 + 1968\/33 - (7 + 1)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1193 - 1183 + 2367 - 36*h - 2 + h + 2 + (5 - 5 - 1)*(-4*h + 2*h + 0*h) in the form y + d*h and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 7*f + 5*t = 10557, -3*t - 2618 = -f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 458*s**2 - 910*s + 3264. What is n(-231)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644436894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (37 - 86 - 15)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-18) - (-8)\/(-36). Suppose 0 = w + 4*r - 2, -r - 5 = 2*w - 9. Solve -4*i - 2*l - w*l - 8 = z, 2*l = -5*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581 = 7*u - 581. Let v be -3 - (2\/4 - 75\/18). Find x such that -2\/3*x**4 + 2\/3*x**3 + v*x**2 + u - 2\/3*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*r = -742 + 317 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-30))\/(2\/(-9))*(-393)\/262\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1\/4, -7.2 in decreasing order.\nAnswer: 1\/4, -3\/2, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/385*160 - (-6)\/22)*6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -279, 0.2, -3, 27, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16344 + -228715\/14. Find the common denominator of 77\/108 and b.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 166 - (-8 - -12 - -15).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -834*o**3 - 216*o**2 - 13*o + 9988?\nAnswer: -5004*o - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or 95067?\nAnswer: 95067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 388c1?\nAnswer: -388c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418574 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 48. What is the remainder when d is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(15\/28))\/(4 + 2)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/21))**(-3)*y*y\/y**(3\/7)*y*y**(1\/63) assuming y is positive.\nAnswer: y**(-233\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 91. Let l(x) = x**3 - 6*x**2 - 9*x + 4. Give l(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3*r*r*r)\/r*r*r**14\/r*r*(r\/(r\/(r\/(r**(-2\/5)*r))*r))**(1\/12) assuming r is positive.\nAnswer: r**(419\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -0.958, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -0.03 (c) 4 (d) -2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*h, -6*h - 21 = i - 7. Let j(s) = 6*s + 4. Calculate j(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*o - 4441094 + 4441123, 2*b = -o - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q**3 + 3*q**2 - 7*q. Let s(c) = c**2 - 12*c + 3. Let o be s(12). What are the prime factors of p(o)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - -34. What is the greatest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 17. Let h(l) = -l**3 + 11*l**2 - 6*l + 2. Calculate the remainder when h(8) is divided by c(20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4431463 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -7) + -3)*5\/4 + (-508)\/100?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from mnppaaappaaapmamnea?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 667*l**2 + 326*l - 8. Let b(p) = 668*p**2 + 325*p - 6. Let k(y) = 4*b(y) - 3*n(y). Find the second derivative of k(u) wrt u.\nAnswer: 1342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57785059*c**3 - 153436525*c wrt c?\nAnswer: 346710354*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-50))\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 91.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -610*r + 8351. What is the tens digit of v(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10)\/i*i**(-3\/17))**21)**5 assuming i is positive.\nAnswer: i**(-19950\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + 0.097187132?\nAnswer: 78.097187132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {n: 5, e: 3, l: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1)\/(1\/(-16)). Let x be (-20)\/(-3)*936\/b. Round x to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 1848 = -26*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.22\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -74*c**2 - 214*c + 26. Give y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c**2 - c + 2. Let s be d(1). Let q be 1\/(-3) + (-3)\/s. Solve -5*y - 3*t - 19 = q, 2*y + 0*y - 5*t = -20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810\/(-540)*282\/9 - 16.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0474 - 32.0526. Let x = -8 - 18. Let a = x - r. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f - 5*z, -2 = f - z - 0. Suppose f = 10*b - 6*b - 132. Suppose 0 = 5*u + b + 17. What is u rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 0.42224.\nAnswer: 0.32224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.8 - 41296625?\nAnswer: -41296327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.29456 to 1 decimal place.\nAnswer: -107.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40c5 + 0?\nAnswer: 40c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3*3 - (101136\/2814)\/4)*-2\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - 10) + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w*(w\/(w**1\/w*w*w*w))\/w*w*((w\/(w\/w**3))\/w)\/w**(2\/7))**(-1\/4))**24 assuming w is positive.\nAnswer: w**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l - 855. Let a(w) = -8*w**2. What is a(b(z))?\nAnswer: -968*z**2 - 150480*z - 5848200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48743942 is divided by 1099.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/20 - 10\/(-25). Suppose -9 = -o*z + 11. Sort 0, -2, z in descending order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Suppose t = -4*v + 12 + 8. Suppose d - 4*d + v*s + 23 = 0, 31 = 5*d - s. Calculate the least common multiple of 9 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 + -105. Let n(g) = -2 + 9 - 5*g**2 + l*g**3 + 4*g - 241*g**3. Give n(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31023*z**3 + 4657*z - 439386698.\nAnswer: -93069*z**2 + 4657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 392 - 128 - 2*b + b**3 - 183 + b as u + i*b**2 + f*b**3 + l*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Suppose -z*l = -5*l - 4. What is the remainder when -1*2 + 28\/l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 18. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/525*u**7 + 10*u**2 + 0*u**5 + 0*u + 1\/30*u**4 + 0 - 1\/150*u**6 - 1\/15*u**3. Determine b so that c(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*n + 32, n + n = 2*f. Suppose 4*u = 2*b + f, 3*b - u + 3 = 17. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 3. Let p(h) = -12*h**3 - h**2 - 22*h + 7. Calculate -3*k(b) - p(b).\nAnswer: 12*b**3 + b**2 + 25*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 99*a - 150. Let x be u(51). Solve x*f + 13 = 4*g, 4*g + 5 = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uus when three letters picked without replacement from uuususssuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4744946 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -96922 <= -290770\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 11. Let b(q) = 1115*q - 10 - 1116*q + 1. Let z(k) = 6*b(k) + 5*w(k). Let g(v) = v + 1. Let o be g(1). Determine z(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*v - 7 + 23 = 0, 4*v - 2 = 5*i. Let s(z) = 2*z**2 - z - 1. Give s(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/5 + 348*d**2\/5 + 24438*d\/5 + 172208\/5 = 0. What is d?\nAnswer: -47, -8, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7784 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19523919 - 4*n**2 + 19523919 + 79*n.\nAnswer: -4*n**2 + 79*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((589\/190)\/31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -67. Let d(i) be the first derivative of i**4\/4 - 10*i**3\/3 + 9*i**2\/2 + 5*i + 20. Calculate d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 685856 - -2?\nAnswer: 685858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*k + 60*a**3 + 22*a**2*k + 2*a*k wrt a.\nAnswer: -48*a*k + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021200330 (base 4) in base 2?\nAnswer: -1001001100000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 5. Let r be t(-4). Let j(n) = n**3 - 8*n**2 + 7*n + 5. Let m be j(7). Put r, -5, m in increasing order.\nAnswer: -5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l + 4. Let u(h) = 5*h + 5. Let z(q) = 4*b(q) - 3*u(q). Suppose 2*s = 5*k + 11, -4*k - 10 - 2 = 0. Let c(f) = -1. What is s*c(r) - z(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 95750 = -i, 2*i - 4*i + 95762 = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -185, -134, -111, -122, -173?\n\"Answer: -d**3 - 8*d**2 + 82*d - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let v = j - 4.07. Let z = v - -0.0699972. Round z to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134.7 - -135. Let p = -4 - -5. Which is the smallest value? (a) 3 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 - 395. Solve -f*n + 12 = 3*k, k + 6*n = 8*n - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-3)\/(-18) + 267\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-21)\/(-14)*(-84)\/84?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m + 42 = 0. Let u = m - -15. Suppose 2*n - 9 + u = 0. What is the least common multiple of n and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -10. Let w = 8.9 + z. Let u = -0.3 + 0.6. What is the closest to w in u, -3, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*(-13)\/(910\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7070939 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 2*c - 3323, 2*o = -3*c + 2222. List the prime factors of o.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15407, 15538, 15893, 16580, 17707, 19382, 21713, 24808?\n\"Answer: 18*i**3 + 4*i**2 - 7*i + 15392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + -0.578. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*x - 4 = 2*d, 0 = 2*d + 2*x - 12. Let z be (-26)\/(-6) + d\/(-6). Factor -v - z*v**4 + 2*v**5 + v + 2*v**3.\nAnswer: 2*v**3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11303*v + 11311*v + 112 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283 + 280. What is the closest to -2\/5 in 2\/13, 5, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m + 5. Let s be (-12)\/66 + 20\/(-11). Let g be 0\/(0 - 2) + (1 - 10). Let f(b) = 5*b**2 + 4*b - 21. Determine g*y(o) + s*f(o).\nAnswer: -o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4833298 is divided by 1239?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a + 4*a = -41010. Let s = a - -10937\/8. Suppose 4*l + 11 = -1. Sort l, 0.1, s in descending order.\nAnswer: s, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205302 + -130?\nAnswer: -205432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:04 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i. Let s be j(4). Suppose c + 31 = -4*o, 4*o + 5*c = -31 - s. Is (o - -4)*(-7)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8205507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5892, 5986, 6080, 6174, 6268?\n\"Answer: 94*x + 5798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 225079336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 179223683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1604\/(-2005))\/(4\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.7 (b) 514 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (75\/(-10))\/(3 + 6\/(-4)). Which is the third smallest value? (a) -16 (b) 0.3 (c) 4\/7 (d) u (e) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831683 is divided by 1415805?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 15*s + 32. Is i(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -2225*y**7\/21 - 2*y**4\/3 - y**3\/3 - 7*y**2\/2 + 1161*y. What is the third derivative of c(i) wrt i?\nAnswer: -267000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100572\/193 - 2019133\/21230. Let o = 426 - n. Let x = -2363\/220 - o. Calculate the common denominator of x and 63\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.7549998 + 66.71511874. Let q = -0.03989306 - a. Let j = q - 17. Round j to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j**(-5))\/j*j**7)\/(j**(-1\/6)\/(j\/(j\/j**(-3)))))\/((j\/(j**0\/j))**(5\/3)*j**(-1\/2)\/j**(3\/8)) assuming j is positive.\nAnswer: j**(-31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4 + m + 3 - 5. Let r be l(6). Let z = 2\/153 - -145\/612. Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*10*1. Let p = -178 - -180. Calculate the lowest common multiple of 12\/v*(-30)\/4 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61622\/43155 - -4\/6165. Which is the nearest to -0.01? (a) m (b) 5\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 20*k. Let x(w) = 14*w + 114. Calculate the lowest common multiple of x(-5) and y(-18).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101891163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (11 - (10 + 6 - 12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1\/3, 0.5, -4 in increasing order.\nAnswer: -4, -1\/3, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27941 is divided by 1218.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.02. Let a = 5.2 - 4.8. What is the biggest value in a, -0.4, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5150 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891, -913, -921, -909, -871, -801, -693, -541?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5877, 47312, 159885, 379200, 740861, 1280472?\nAnswer: 2033637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3706049 = -10*x + 7793951. Round x to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*v - 0*v. Let h = 1 + v. Let k = -79 - -184. What is the highest common factor of k and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21638581 less than -7?\nAnswer: -21638588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.007 - -810036.\nAnswer: 810035.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 17 + 9 - 13*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-6) - 543\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14314 = 2*m + 6*v, -10*m + 12*m - 3*v - 14377 = 0. Is m a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196*-2197722.\nAnswer: -430753512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((136\/12)\/17)\/((-9)\/(-648)*-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 2\/23, -3, -18, -2.25 in increasing order.\nAnswer: -18, -3, -2.25, 2\/23, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37826, -151306, -340440, -605228, -945670, -1361766?\nAnswer: -1853516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054927791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.97 + -0.03. Let f = y + -5. Let p = -21 - f. What is the third smallest value in p, 5\/6, -2.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b**2 - 2 + 2 - 6*b**3 + 6*b**3 - 8*b**3.\nAnswer: -8*b**3 - 30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*o = 1041 - 1030, -5*o = -2*r + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369249 is divided by 338.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 2\/9, 8, -4.26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.2 - -12. Let i = -1407.5 + 1408. Which is the closest to -0.1? (a) y (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 325, 269, 159, -23, -295, -675, -1181?\nAnswer: -1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-69187)\/(-8045))\/(2\/10)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -15*s + 19*s. Let y(f) be the first derivative of -2\/5*f**5 - 1 - 1\/2*f**s + 0*f + 1\/3*f**6 + 2\/3*f**3 + 0*f**2. Factor y(c).\nAnswer: 2*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5409203 and -0.13.\nAnswer: -5409203.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 388\/(-16) + 1\/4. Let b be ((-15)\/20)\/(135\/f). Is b greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-42)*(-54)\/504?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-5))\/(-24 + 2242\/95). Solve 4*l = -5*r + 12, 0 = -b*l + 3*r - 20 + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 21*p**2 - 135*p - 243 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -7*g + 4*g - 57, -4*g = -2*b + 54. Let n be (-4)\/1 + (-120)\/g. Sort -0.1, 1\/3, n, -5.\nAnswer: -5, -0.1, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 65\/2. Let j = 2.01 + -2. Let p = 1.99 + j. Which is the second biggest value? (a) -0.1 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6083124ng in tonnes?\nAnswer: 0.0000000000000006083124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qppq when four letters picked without replacement from qqppqp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/25 - 91\/50. Let d be 0 - (7929\/6 + -1). Let m = d + 1353. What is the common denominator of m and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24036\/43 - -559. Which is greater: j or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 1\/3, 43, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(64\/(-9) - (325\/25 - 20))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**4 + 12*o**3 - 6*o**2 - 58. Let w(j) = 2*j**3 - j**2. Let i(y) = b(y) - 6*w(y). What is the derivative of i(m) wrt m?\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + k - 11 + 17 = 0, 4*k - 4 = l. Let c be l\/15*110\/33. Factor 2\/9*x**2 - c*x + 2\/3.\nAnswer: 2*(x - 3)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 93 = 3*b - 0*b, -4*b - 20 = 0. Let x = t + -27. Let v be x*4\/(5 + -1). Let h(s) = -18*s**2 - s - 1. Give h(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let x(m) = 2*m - 6. Let h be x(5). Suppose -14 - 10 = -h*i. Let f be (9\/i)\/((-6)\/(-8)). Let r(n) = -n**3 + 1. Give f*l(y) + 2*r(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (7 + 13))*(9 + 200\/(-16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443044003 (base 5) in base 15?\nAnswer: 280503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-180))\/((-36)\/30)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:45 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + k + 493 - 526 = 0, 2*z - 2*k + 26 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 8. Suppose 5*a = 15, -a - 9 = -3*w - 2*a. Suppose -3*h + w*d = -8*h + 20, -2*d - 40 = -5*h. Let f be c(h). Is -2\/3 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/8 + 135*g**4\/8 + 503*g**3\/4 - 639*g**2\/4 - 1007*g\/8 + 1143\/8 = 0. What is g?\nAnswer: -127, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 939\/4 in -0.2, 17, 0.2, 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 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 -186, -341, -448, -507, -518, -481?\n\"Answer: 24*x**2 - 227*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 2. Let h = -16 - -10. Let p be j(h). Suppose -40 = 3*o - p*o. What is the remainder when 15 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/6 - 697*z**3 - 30555*z**2\/2 - 301750*z\/3 - 208000 = 0.\nAnswer: -4160, -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 64 = -23*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 182*h + 186*h + 22 = 0, 2*h - 1 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Let r = -13 - -7. Let f = 8 + r. Which is the second smallest value? (a) -1\/7 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274696221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*y - 2*p - 18, 3*y - 26 = -p. Let k be 240\/((y\/22500)\/7). Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 32 = 4*m - 32, -2*m + 122 = 4*v. Solve 0 = -o - 9*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.209 + -0.591. Let v = 2.9 - 4.2. Let k = v - o. What is the smallest value in -4, -1, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 5. Let n be k(-2). Suppose -3*y = d - 1402 + 183, -5*y + 2027 = -n*d. Suppose 4*a - 390 = y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 18*b - 451. Suppose -i + 896 + b = 2*q, q = 2*i - 2694. What is the units digit of i\/19 - (-28)\/266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1234 = -5*k + 111. Suppose -3*x + 103 = -k. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.68 - 74903.6738\nAnswer: -74902.9938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342479754.\nAnswer: 2, 3, 31, 613763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -233299 and -233297 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/168 and 23\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 2. Let g(y) = -3. Let l(t) = -t. Let x(k) = -g(k) + l(k). What is -5*x(o) + 8*z(o)?\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-3)\/(15\/(-10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524826 = 29*c + 25*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 + -650. Let n = g + 447. Solve -5*u - n*o - 25 = 0, 5*u + 2*o = -0*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**8\/1008 + a**7\/630 - a**6\/360 - a**5\/180 - a**2. Solve m(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/25)\/(-5 + (-130)\/(-25)). Let y(j) = -1. Let a = -4 + 2. Let s(v) = 6*v + 1. Let g(w) = a*s(w) + u*y(w). Let c(z) = 2*z**2. Determine c(g(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22670887 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -1.7. Let y = -6.495 + 8.295. Which is the third smallest value? (a) 5 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-3190)\/(-1740))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 316*t + 26. Let u be v(-3). Suppose 31*m - 29*m = 3*j, -j = 4*m. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 694.3132um?\nAnswer: 0.0006943132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 252898002307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/14 - 2\/7. Suppose 0*w + r = v*w + 1, 0 = w + 2*r - 9. Let y(u) = u - 1. Let c(x) = 9 - 24 + 8 + 6 + 4*x. Give w*c(f) - 3*y(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.9 + -12.2. Let u = -7 + 10. Sort 5, a, u.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1382 + 35939\/9674. Let h be (-26)\/(-26) - 12\/(-3)*1. Is o != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 + 4*m**3 + 2*m**5 - 6*m**3 - 42*m**2 + 38*m**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3*i + 13)*(67 - 67 - 33*i**3).\nAnswer: 99*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11472478*g**2 - 8579549 wrt g?\nAnswer: -22944956*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 16. Let b be n(-3). Let h be 5*-1*2\/(-5). Solve h*s + b = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137627689 > 137627685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(125)*-2 - sqrt(125)) + 4*(sqrt(125) + -1 - sqrt(125)) + 2 + sqrt(125) + -3 + 0)**2.\nAnswer: -120*sqrt(5) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 - 24 = b, -5*i = -30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from ppipppyyppppepeiippp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 - 9*k**2\/2 + 5*k + 12. Let c be p(9). Solve -c*d = -d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23961 - -308202128.\nAnswer: 308202128.23961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)*h)**(4\/11)*((h**9*h)\/h)**(-4\/3) assuming h is positive.\nAnswer: h**(-404\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 610659 and 610636 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5128 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234, 225, 216, 207?\n\"Answer: -9*c + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 3349.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose -h + 5 = -7*m + z*m, 2*h - 4*m - 8 = 0. Suppose h*f - 12 = -f. Solve -a + 4 = -w + 2, 23 = w + f*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -3\/8, 3 in increasing order.\nAnswer: -3\/8, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1123241 (base 7) to base 6\nAnswer: -3002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2306*n + 62. Let h(f) = 577*f + 14. Determine 9*h(g) - 2*o(g).\nAnswer: 581*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1618, 1477, 1242, 913, 490, -27, -638?\n\"Answer: -47*b**2 + 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*z**2 + 446*z**2 + 846*z**2 + 436*z**2.\nAnswer: 1283*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 10 = 5*h, -4*j - 4 = h. Let o be (8\/j)\/(-1) + 0. Suppose -7*a + 10 = -2*a. What is the greatest common divisor of o and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -199*u**3 - u**2 + 2. Let s be g(-2). Is 3\/1 - s\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 3036036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3133375 and 1750?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/27)*d\/(d**(3\/5)*d)*d**(-15)*d\/d**9 assuming d is positive.\nAnswer: d**(-3176\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28549, -28546, -28543, -28540?\n\"Answer: 3*p - 28552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3632 + 34580. What are the prime factors of v?\nAnswer: 2, 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -51 - 3\/2*k**3 + k + k**2. Give x(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -83663.\nAnswer: 50197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 42.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v - 52*v - 4 = 2*h, 5*v - 4*h - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + sqrt(288)*2 + 5)**2.\nAnswer: 384*sqrt(2) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2835 + 9374. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-267)\/(-2))\/(48\/11264). Find x, given that -6*x**2 - z*x + 4 + 31326*x + 0 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -r - 2*a + 3, 2*a + 15 = 5*r. Suppose 15*j - 11*j + x - 4 = 0, 0 = -r*j + 3*x - 12. Solve j = -2*q + 3*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.81*20.79.\nAnswer: -99.9999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12448 is divided by 1766?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (8 - (-3 + 7)) - (-49 + 57).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*k**3 + 216921 - 1215*k**3 - 903*k**3 - 216920 - 3*k.\nAnswer: -1749*k**3 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 340?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 39*l + 25*l + 10 + 1 + 5 + 28*l**2 = 0?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 12. Let f = 5 - m. Let j = 3 - f. Which is the smallest value? (a) -0.3 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 7719625?\nAnswer: -7719611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131423710.\nAnswer: 2, 5, 11, 239, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -707 or -708?\nAnswer: -708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 2*h**5 - 2*h**5 + 2 - 2 - 2*h**5 + (2*h - 2*h**4 - 2*h)*((0 - 1 + 0)*(2*h + 0*h + 0*h) - h + 1 - 1 - 9*h - 3*h + h + 0*h - 6*h + 3*h).\nAnswer: 34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1*z**0*((z\/(z*(z*z\/z**(-3\/5)*z)\/z))\/z)\/((z*(z*z**(-1)*z*z)\/z)\/z))\/((z**(-2\/7))**(-45))**(-7\/4) assuming z is positive.\nAnswer: z**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 304. Let y = 0.419022 - -129.498778. Let u = y + p. What is u rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((624\/252)\/((-20)\/(-210)))\/(1 - 3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*j**3 + 2032867*j**2 - 2032867*j**2.\nAnswer: -402*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 15. Let v = b + 41. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 4*i + 4*i - i + 1 - 1 + (4 + 2*i - 4)*(0 + 3 - 4) - 2 + 2 - i)*(2*i - 7*i + 6*i + (-i + i + 2*i)*(1 + 0 - 3) + i + 0*i + 0*i).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 72 + 33. Let z = -17 + 27. What is the greatest common divisor of i and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3743, -29945, -101071, -239585, -467951, -808633, -1284095, -1916801?\n\"Answer: -3744*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 6. Calculate b(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4\/x*x)**(-6\/17)*x**(-2\/33)*x\/x**(7\/2) assuming x is positive.\nAnswer: x**(-4853\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -30*a - 6. Let b be n(-2). Let t = -16 - 4. Let v = b + t. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 101000110110?\nAnswer: 101000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36542 = -3774*o - 138440 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-18) - 2\/(-6). Solve t = -q - 2 + 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 4, z: 1, h: 1}. What is prob of sequence hs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (170\/15 + -7)*3. Solve 5*z + l = r + 1, 17 = 4*z - 5*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 9*y + 11. Let r be c(8). Suppose 0 = 2*u + r*a + 4 - 33, -5*u + 4*a + 38 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 - -6.514. Let y = 0.094 - l. Which is the second smallest value? (a) -0.5 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.534 + 0.036. Let y = b + 2.41. Let j = 3 - y. What is j rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 53. Let w(j) = 24*j + 2. Let f be w(h). Let z = -35 + f. Solve 7*b = 2*b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 13*c + 192 = 0. Suppose c = t + 5*x, 212 = t + 4*t + 2*x. Calculate the least common multiple of t and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - -15)\/(0 - (-7)\/(-21)). Is 9 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 67 - 82 = n, -5*n = -2*w - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693228 divided by 6.\nAnswer: -115538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112220011212 (base 3) to base 13\nAnswer: -a35b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 63 = 3*g, 90 = 5*x - 4*g + 6*g. Suppose -12*z = -x*z. Suppose 2*a = -3*r - 3*a + 552, -a + 3 = z. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -26 + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsb when three letters picked without replacement from bsbbbbbbsb?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0, -2, 0.4, 591, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 + 3*d + 16. Let j be h(-7). Let u be 5*-5*j\/25. Suppose u*q - 4*i = 1929, 5*q = i + 2004 - 63. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 9) to base 8\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -8, -1\/5, 1\/3, -518307, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:22 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**3 - 3*a**3 + 42*a**3 - 12*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2792304*y**3 - 1073977*y**2.\nAnswer: -16753824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 2 - -2)\/(-1). Suppose 4*v - 13*v + 2376 = k. Calculate the greatest common divisor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 244*m**2 - 13184*m - 316368.\nAnswer: 4*(m + 18)*(61*m - 4394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(49) - sqrt(7056)*2))\/(sqrt(700)*1) - ((sqrt(70) + sqrt(70) + (sqrt(70) - 2*sqrt(70)))*1)\/(-5*sqrt(90)).\nAnswer: 37*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/40 - 3*w**5\/20 - w**4\/8 + 3*w**3\/2 + 67*w**2. Factor l(g).\nAnswer: 3*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1011 + 206 = 0. Let b = d - 1267\/11. What is the second biggest value in -1, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*b + 93 + 1373 = -123 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, e: 2, r: 7}. What is prob of sequence emrr?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4838823 and -17.59.\nAnswer: -4838840.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -46 - -31) + 35 - 71?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 370 = -4*w, w - 172 = -w + 5*k. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*s. Suppose -72 = -5*p - 3*p. What is the least common multiple of p and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2707 = -31*f - 3265 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -570423, -1140740, -1710941, -2281032, -2851019, -3420908?\nAnswer: -3990705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*a - 182*a + 88*a + (1 - 2 + 0)*(2*a + 3*a - 4*a) - a - 4 + 4 + 4*a - 2*a - a + 4 + 2*a - 4.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 2, t: 1}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Let s(b) = -b**3 + 5*b**2 + 3. Let h = -37 + 92. What is the remainder when h is divided by s(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823163 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - r - 2. Give k(-7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(2 + 4 - 1)*(-151 + 2*q + 297 + 2*q**2 - 165).\nAnswer: 10*q**2 + 10*q - 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15013.986 - 15030. Let i = o - -0.014. What is the smallest value in 1, 2\/19, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 3*u - 29. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + -248. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 34 + 42 - 302 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(700) + -3)*4 - (4 + sqrt(700)*1)) + -5)**2.\nAnswer: -1560*sqrt(7) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 30*b**3 + 4*b + 23*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 182264.4 minutes?\nAnswer: 10935864000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -28*i + 32*i, -5570 = -2*c - 4*i. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 9. Let x be w(4). Let t(z) = 2 + 2*z - 3 + 8 + 4 + 1. Let b be t(x). What is the highest common divisor of b and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/56400 and 139\/362652.\nAnswer: 36265200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*t - 4*b + 3*b, t - 3*b + 6 = 0. Let w = t - -14. List the prime factors of w + 4\/(3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 5*q + 12. Suppose -q*n + 1 = i, 3*n = -n + 4*i - 4. Solve n = o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 31*l - 13. Let d be n(-15). Factor -2\/7*q + 0 - 2\/7*q**3 + 4\/7*q**d.\nAnswer: -2*q*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 179*h - 24. Let i be c(10). Let k = 646 + i. Is ((-3)\/9)\/(2 + (-4828)\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 + o**5\/20 - 5*o**4\/24 + o**3\/3 + o**2. Let c be r(-4). Let a(n) = -2*n - c + 4 + 1 + 2. Calculate a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16)*8\/12*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 98\/(-18) - 1. Factor -2\/9*o**2 - 2\/9 + x*o.\nAnswer: -2*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133936 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (1\/(-2))\/(-5 - 1069\/(-214))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -12. Let k = j - -7. Let x be (-1 + -2)\/(-2 - k). Which is greater: x or -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 74. Suppose 232 - q = 5*r. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(267862\/(-477))*-38.\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1152962 millilitres to litres.\nAnswer: 0.0001152962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 503 + -403. What is the remainder when n is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from iggcqmgg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wue when three letters picked without replacement from {e: 7, w: 1, j: 2, u: 8, p: 1}.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -3 + -16 + 36 + -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, q: 2, u: 1, y: 2, l: 5}. What is prob of sequence lql?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 629494 + -353531. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -244, -561, -994, -1537, -2184?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/12*(-2)\/30)\/((171\/(-405))\/(-19)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/8 - 422799*u**2\/4 - 845599*u\/8 = 0. Calculate u.\nAnswer: -1, 0, 845599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.29056 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from umummsqmussmkksquom?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/117199 and 32\/5825.\nAnswer: 2929975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 4*h + 22*h**2 + 0 - 35\/2*h**3. What is the derivative of y(b) wrt b?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9043, 9034, 9023, 9010, 8995, 8978, 8959?\n\"Answer: -a**2 - 6*a + 9050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5056 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.78*-0.11\nAnswer: 0.6358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 52, -2\/7, 4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 16*i - 31. Let g be h(6). What is the first derivative of -26 - 57 - 8*y - 22 + g wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 3. Let y be t(3). Solve 34 = -y*s - 5*r, -4*s + 0*r = 2*r + 22 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21048\/13 or 3082?\nAnswer: -21048\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3587 to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/21)\/(4\/(-14))*28. Solve 12*k**2 + 4*k**3 - 12 - x*k - 7*k + 17*k = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 152*n**2 - 223*n - 3. Let t(q) = 300*q**2 - 446*q - 5. Let h(w) = -5*m(w) + 3*t(w). What is the second derivative of h(v) wrt v?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c. Let v(o) = -o**3 + 3. Let q be v(0). Let n(h) be the first derivative of 5 - 5 - h**2 - q. Determine n(a(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/16 - p**3\/6 - p**2\/8 + 13. Factor l(r).\nAnswer: -r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 8, s: 3, z: 1, i: 5, y: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 23. Let n be u(-6). Suppose n*t + t = 0. Solve -3*c + 8*c + 15 = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5*h + 24. Solve 5*d + 0 + h = 2*z, z - 4*d = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffutqkk. What is prob of sequence ktq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 261. Let c(b) = -703*b**2 + 334*b**2 + 371*b**2. What is a(c(d))?\nAnswer: -4*d**2 + 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.589213 to one decimal place.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let y(x) = 138*x. Let l(w) = 46*w. Let g(n) = -7*l(n) + 2*y(n). What is s(g(q))?\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*r = 97, 0 = 2*q + 4*r - 143 - 3. Let j = 148 - q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 51.23 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 4*x + 3*n + 25, 3*x + 15 = -3*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let v = 0 + k. Is v not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:48 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) 2\/13 (d) -2\/9 (e) -0.015\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - w = -31, -w - 156 = 3*q - 59. Let i be 4 + -6*q\/4. What is the greatest common divisor of i and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(21)\/sqrt(3)) + sqrt(11) - (sqrt(121) + (sqrt(121) - sqrt(121)*-3 - sqrt(121)) + sqrt(121) + sqrt(121))\/sqrt(11))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 278727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3005290.\nAnswer: 2, 5, 397, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**17*z)\/z)\/z*z)**30*(z*z**(12\/11)*z*z)\/z*z*(z\/(z\/(z*z**(-2\/95)*z*z*z)*z*z*z))\/z assuming z is positive.\nAnswer: z**(-497347\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 2. Let g be (6\/(-14) - 3) + (-4)\/7. Let y(p) = p - 2 + p - 10*p + 17*p - 4*p. Calculate g*a(i) - 5*y(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by 71.\nAnswer: -309\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6307*x - 4896 + 81 = -6200*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3122 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38445 divided by 5\nAnswer: 7689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2 + 1252*r - 62810 = 0.\nAnswer: 55, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 3965.\nAnswer: 3964.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -307\/13?\nAnswer: -307\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b + 13. Give c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-14\/3)*w**(-3))\/((w**(-16)\/w)\/w*w*w\/(w\/w**(-1\/37))) assuming w is positive.\nAnswer: w**(1150\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 88 - 20 + 3043.\nAnswer: -2*a + 2935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -7, 3, -15, 451.\nAnswer: -15, -7, -2, -1, 3, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 89, 133, 177?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:02 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 696492 less than 17412319\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - c - 2*c = -21, -a + 13 = 3*c. Let i = -18 + 16. Let m(y) = 3*y**2 + 2*y - 2. Let p be m(i). Solve 4*b = -u - 2, -a*b = -p*u + u - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -18.7. Which is the third biggest value? (a) -5 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -252 + 4497?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -96, -2, 0.1, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2133.4 - -2133. Put 7, -10\/31, m in decreasing order.\nAnswer: 7, -10\/31, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 - 23*y**3.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*r - 18, -2*j = -770*r + 765*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 25 = 28*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbhrmjmvmjvr. What is prob of sequence jbj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 r when four letters picked without replacement from dddyyyydryrdyyd?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 12*p - 83 + 3*p - 7*p - 3*p + (-4 - 1 + 3)*(0 + 0 - 2*p))*(-3*p**2 - 3*p**2 + 3*p**2).\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 11 + (-4 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3)\/r)\/(r**(-2)\/r))\/((r\/r**(-2))\/(r\/r**(-2))))**(-4\/29) assuming r is positive.\nAnswer: r**(4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4164, -7824, -11496, -15180, -18876, -22584, -26304?\n\"Answer: -6*j**2 - 3642*j - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 253*m + 1. Let i(c) = -c**2. Calculate r(i(q)).\nAnswer: -253*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 + 2*h - 4. Let q(k) = k**2 - 5*k - 17. Let y be q(7). What is the smallest common multiple of i(y) and (-2)\/(-5) - ((-288)\/30 - -4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {j: 10, a: 6, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*u**2 - 6 - 9 + 64*u**2 - 11 as m*u**2 + b*u + a and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68295, 273190, 614681, 1092768, 1707451, 2458730, 3346605?\nAnswer: 4371076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 103, 4 in descending order.\nAnswer: 103, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133415415 (base 6) to base 10.\nAnswer: 12770723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-10) - 597266\/(-2855). Solve 5*y = -239 + w for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 + 153*j**2 - 22*j + 2. Let r be p(-22). Let a(s) = s**3 - s**2 + 5*s - 2. Let z(x) = -2*x**3 + 3*x**2 - 16*x + 7. Give r*z(o) + 7*a(o).\nAnswer: 3*o**3 - o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -859\/180?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3619441 - -0.362. Round u to six dps.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2 + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*s + 5)*(-3*s - 3 + 3 - s - 3*s + 2*s + (-3 + 3 + 2*s)*(5 - 1 - 6)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 619, 908, 1197?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**4 + 4*d**3 - 12*d**2 - 16*d - 2. Let q(c) = c**2 + c. Let x(o) = -m(o) - 12*q(o). Solve x(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 2. Let d be i(2). Which is greater: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by -2?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l + 303514 - 303514 + 13*l.\nAnswer: 68*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 - 870. Which is the third biggest value? (a) 1\/2 (b) -3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 6*b. Does 15 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 994 + -1525. Let q = h - -536. What is the nearest to 1 in 0.2, 0.06, q, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 385 + -380. Solve f - 3*g + 5 - 20 = 0, -3*f - g - d = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 1121112*r**2 - 1121112*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 30 (b) -0.4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2110001111?\nAnswer: -2110001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 896960914 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*w + 806*f - 5*w**3 + 31*w wrt w?\nAnswer: -f - 15*w**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5044604 + 260?\nAnswer: -5044314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/11))**(6\/11)\/(f\/f**(-3\/4)*f**(-2\/3)))**(1\/31) assuming f is positive.\nAnswer: f**(-1501\/45012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 3*u - 4*u + u - 4*u - 14*u + (4*u - 4*u + u)*(0 + 3 - 1))*(0 + 1 + 258) as i + z*u and give z.\nAnswer: -4403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) -21\/113 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818895040 to the power of 1\/3, to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -106, 0, 3, -2 in decreasing order.\nAnswer: 3, 2, 0, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*f - 138*f + f**3 + 57*f + (2*f - 8*f - 9*f)*(-4*f**2 + 0*f**2 + 3*f**2) to x*f**2 + s*f**3 + d + i*f and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 8*z - 80 = 0. Suppose d - 6*d = -z. Solve -k = -d + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6995, 7368, 8271, 9968, 12723, 16800, 22463, 29976?\n\"Answer: 44*n**3 + n**2 + 62*n + 6888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18664 + -18500. Solve 0 = 163*d - q*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**3 + 4790920*m**2 - 19163616*m = 0.\nAnswer: 0, 4, 1197726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15917 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112694\/31 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2959.37*-0.3.\nAnswer: -887.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 3*x)*(0 + 3 - 1) - 4*x + x + x - 10*x - 13 + 13 + (21*x - 9*x + 22*x)*((0 - 1 + 0)*(2 - 1 - 2) + 1 + 1 + 0).\nAnswer: 94*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + (77 - (-27 - -44))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose -4*p + 2 = -a - z*a, -3*p = -2*a + 1. Suppose -a*f - 39 = -5*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9657125941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.2. Let x be ((-4)\/42)\/(468\/(-63) + 7). Sort b, x, 3 in descending order.\nAnswer: 3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.97 and 0.2.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1019 - 0?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/212 and -95\/16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24055 (base 12) in base 10?\nAnswer: 48449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 486188894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -23100?\nAnswer: 23030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135957 + 135898.051. Round m to the nearest integer.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2002932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 14 - 14)*(-16 + x**2 - 1107*x + 1107*x).\nAnswer: 7*x**3 - 112*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26981455?\nAnswer: 5, 29, 317, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5612*r**3. Let o(l) = 87*l**3. Let x(z) = 2*z**2 - 229*z - 110. Let m be x(115). Calculate m*a(y) + 322*o(y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24.8023*-43\nAnswer: 1066.4989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5598, 5450, 5302, 5154, 5006?\n\"Answer: -148*n + 5746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b3 (base 12) to base 10.\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 4*q - 2*q)*(q - q - q) + (-6 + 6 - q)*(-3 + q + 3) + 2*q**2 - 3*q**2 - 18*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612860?\nAnswer: 2, 5, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57811 and 44.\nAnswer: -57767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 2*i - 40*i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8290577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*s - 5*g, -3*s + 8*s - g = 32. Suppose -2*d - 56 = -4*b, -2*d + 2*b = 26 + 38. Let i = -26 - d. Calculate the lowest common multiple of i and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 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: Simplify 6*(sqrt(150)\/sqrt(45))\/((sqrt(1764) - sqrt(36))\/sqrt(6)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 12*p = -6*p - 16*p. Sort 4, 147, p in ascending order.\nAnswer: p, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 30*c + 720. Let m(w) = w + 20. Let p(f) = a(f) - 36*m(f). Let d(i) = -i**3 - i**2 - i + 4. Let n be d(0). Let k(x) = n + 2*x - 4. What is p(k(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27863248 + -9?\nAnswer: 27863239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/8 + 14*j**2. Let l(f) = 4*f - 1. Suppose -5*n + 10 = -0*n + 5*x, -n + 2 = -2*x. Calculate n*l(h) + 3*c(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 1. Let m(i) = 2*i + 1. Let h(x) = -11*x - 6. Let t(y) = -h(y) - 6*m(y). What is q(w) + 3*t(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1969? (a) 2 (b) -0.111 (c) -4\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrvvvvvvvvvvvvvvvv. What is prob of sequence rr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -633614.01 + 633614.51999971. Let u = s - 0.51. Round u to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 12*q - 100. Give g(-13).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3224 and 18?\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -27) + -3 + 28 - 15 - 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1063, -2\/11, -3?\nAnswer: -0.1063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1399 + -1406. Let j(s) be the third derivative of s**5\/60 + s**4\/3 + 13*s**3\/6 + s**2. Let i be j(m). Solve i + 14 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 1081*j + 1085*j = -48, -21*t - 28 = -j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11785 and 6290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 156 - 52 = 0. Let t = 37 - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/56 in 3\/7, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731116130?\nAnswer: 2, 5, 409, 178757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(10\/(-6) - -2). Suppose -2*k = -3*f + 2, 3*k = -g*f - f + 27. Suppose f = 3*w - 5*w. Let t(y) = 3*y + 1. Calculate t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 774*c**2 - 15 - 3 + 18 in the form v*c + o*c**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -52. Suppose 6*c - 8*c = 3*c. Suppose -p + 2*p = 4*k - 337, -5*k + 5*p + 410 = c. What is the remainder when k is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(2\/57)*g**(-6)\/g**(-1))\/((g*g\/(g*g*g\/(g**3\/g)))\/(g**1*g)*(g**0*g)**(2\/33)) assuming g is positive.\nAnswer: g**(-17866\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 6. Let q be t(9). Does 6 divide (q - 6)*(-6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**3 + r**2 - 9*r - 2. Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2160 - -4551\/2. Let t = 129 - l. Calculate the common denominator of -83\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15061753\/258 + -58379. Let t = -18529\/29060 - 18\/1453. Find the common denominator of u and t.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -140, -445, -1038, -2015, -3472?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 684 - 648. What is the highest common factor of g and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4820*f + 14453. Determine n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(4)\/((sqrt(162) - sqrt(162)*-1) + sqrt(2)).\nAnswer: sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-5 - -10) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 + -274. Suppose -3*y + 3*y = 3*y. Put -80, -4, y, k in decreasing order.\nAnswer: y, k, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 17 = m - 2*s, -4*m + 2*s - 52 = 0. Let n = m + 17. Suppose -4*l + 71 = -97. Calculate the highest common divisor of l and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1224 - -1082. What is the third smallest value in -0.5, -3, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i**2 + 38*i + 12. Give c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-1))\/(616\/(-99876)). Let n = 2273 - l. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/2*2\/3. Let y(a) be the third derivative of -17*a**5\/60 - 5*a**4\/6 - a**2 + 519*a. Let m(o) = -6*o**2 - 7*o. Determine t*m(j) + 4*y(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 1135*t - 1133*t - 2*a, 0 = -13*t + 9*a - 628 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:21 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -37. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = 36. Let t be (-78 + -4799924)\/(1 + -1 - 1). Let i be (-14)\/s + t\/4. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 + 33?\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2911)\/355 - (1\/5)\/(-1). Let c(z) = -z**3 - 7*z**2 + 7*z - 5. What is c(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*u - 25, 0 = -2*u + 13 - 3. Suppose -n - 2*n + 72 = k. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + 0.01. Let q = 0.100028 + w. Round q to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.817 + -0.083. Put 2, r, 5, -4 in decreasing order.\nAnswer: 5, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -187. Calculate the greatest common divisor of n and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/8 + 17*q**2. Let p(x) = x**2. Calculate p(s(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4944847560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.063014 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187215?\nAnswer: 3, 5, 7, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 9*g**2 + g. Let o(d) = 2*d**3 + 8*d**2 + d - 1. Let m(s) = 4*o(s) - 3*w(s). Let x be m(4). Let i = -9 + x. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 (base 3) in base 14?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(12)*1))\/(sqrt(144)*-2 - sqrt(144)) + (-1 + sqrt(2))*-6 + sqrt(2) + -5*(sqrt(2) + sqrt(2) + -1) + sqrt(2))**2.\nAnswer: -2783*sqrt(2)\/9 + 83611\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3 - 3)\/(-2))\/(-2). Solve i = -3*h - 0*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (-76 - (16 + -12)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3645)*1)\/(-1*sqrt(144) + 2*sqrt(225)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3 + n**2\/2 + 10. Let i be h(3). What is the highest common divisor of 120 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/6 and -85\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/7, -0.207, 393, -0.1, -2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(209) - -4*(sqrt(209)*-2 - sqrt(209)))\/sqrt(11).\nAnswer: -11*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4491564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 752.22 + -772. Let n = a + 19. What is n rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 23*q + 336 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3900*n**4 - 315 + 45 - 3891*n**4 with respect to n.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 3\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 25 = m. Let l = m + 72. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7716976 divided by 584.\nAnswer: -13214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9818, -19651, -29496, -39359, -49246, -59163, -69116, -79111?\nAnswer: -89154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 43*n - 151 = 48*n, -2*z - 2*n + 200 = 0. Solve -23*f + z = -68 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.92 - -0.92. Let m = l + 69. Which is the third smallest value? (a) 1\/3 (b) 1\/11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/4 (c) 3\/8 (d) 103 (e) -207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/34671 and 123\/1820.\nAnswer: 693420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-4)\/l))**(-13)*(l**(-9)*l)\/((l*l\/l**(-2))\/l))**36 assuming l is positive.\nAnswer: l**(-3204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10924.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13439 (base 10) to base 2\nAnswer: 11010001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 - 3*t. Let w(i) = -4*i**2 + 2*i. Let q(v) = 4*k(v) + 10*w(v). Solve q(r) = 0 for r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760010 + 13.5136272?\nAnswer: 1760023.5136272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jckkrkkakkrkjcaaca. What is prob of sequence kca?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*a = 958*a - 72928 for a.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25*3\/5*(-2)\/(-20). Factor 1\/2*j**3 + 0 + p*j**2 + j.\nAnswer: j*(j + 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -183, 37, -4, 4.\nAnswer: -183, -4, 1, 4, 8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + 6*w + 1. Suppose 4*p - 2 = 3*p. Suppose -n = -p*b + 5 - 21, 44 = 5*n - b. Calculate the smallest common multiple of z(6) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1083031461 divided by -3.\nAnswer: 361010487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14836*b = -14842*b + 54 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1882 minus -10861443?\nAnswer: 10859561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.3, -1\/40, 107.\nAnswer: -2, -1\/40, 1.3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*w**5 - 133*w - 3 wrt w.\nAnswer: -5400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31353 take away 757.9?\nAnswer: -757.58647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + i**3 + 5*i**3 - 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*f + 181*f - 126. Find the third derivative of 0*c**4 - 13*c**5 + f*c**2 + 0*c**4 - 100*c**2 wrt c.\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419 - -602. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (-1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340751663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3102\/173561?\nAnswer: -3102\/173561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 26. Suppose 2 = -l*v + 14. What is the nearest to 0 in -1, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185847827 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: In base 4, what is 10011323 - 1031?\nAnswer: 10010232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - j. Let b(o) = o. Let p(u) = -u - 3. Let n be p(-4). Let t = -3 + 4. Determine n*b(r) + t*s(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 57*t + 352, -12*r - t - 4 = -13*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 1. Let u(g) = -2 + 6 + 5 - 4 - 21*g. Give -9*q(s) + 2*u(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a4 (base 15) in base 11?\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11777751982 + -1852.75807941982. Let v = 1847.6403 + t. Let j = -5 - v. Round j to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 10\/700*10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1233 + 2430. Let y = o - 1192. Let t = 7\/208 - 3\/16. Which is the biggest value? (a) y (b) t (c) 0.1 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 50*u - 1844 = 564 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q + q + 6 + 2*q. Let r be h(5). What is the units digit of (r\/1)\/((-4)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d - 427 = 16*d - 67*d. Solve d*h - 17*h - 220 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2077236 and 519309.\nAnswer: 2077236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 331724008 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 757107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**7\/42 + 51*o**6\/40 + 1187*o**5\/20 + 149*o**2 + 2*o. What is the third derivative of n(m) wrt m?\nAnswer: -120*m + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 3*u - 5289, -14408 = -5*u + 2*k - 5511. Is 1781 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose -n - 2*h = h + 12, -4*n - q*h - 3 = 0. Is 0\/1 - (n - 54) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 20*m**2 + 38*m**2)*(0 + 0 - 2*m).\nAnswer: -106*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 0*w**5 + 3*w**5 + (3 - 5 + 5)*(-3*w**5 + w**5 - 9*w**5).\nAnswer: -34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477818747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 11*q + 44 - 30 = 7*x + 159, -x + 50 = 4*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46950.07 minutes to nanoseconds.\nAnswer: 2817004200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 394 - 386. Solve -5*v + g*v = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12 + 14*z**3 + 12 + 5*z**2 - 19*z**3. Let f(o) = -2*o**3 + 2*o**2. Suppose 5*n = -2*n + 21. Let d be 7 + ((-1)\/n)\/(1\/3). Determine d*s(w) - 14*f(w).\nAnswer: -2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/3*(5 - 2). Let c be (-35)\/36 - 6\/a. Put 1\/4, -4\/5, c in decreasing order.\nAnswer: 1\/4, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let z = 14 + -8. Let h(o) = -o. Let v(b) = 11*b - 1. Let y(a) = z*h(a) + v(a). Give l(y(w)).\nAnswer: 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 1109931*g + 557892*g + 552039*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -21?\nAnswer: -25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -21*b + 7*b + 9*b + 7*b. Let k(o) = 3*o**2. Determine k(h(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -2900, -7405, -13712, -21821, -31732?\nAnswer: -43445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n + 3*f, 5*f + 7 + 7 = 2*n. Let r(d) = -d - 7*d**2 - 8*d + 2*d + 14 + 2*d**n - 12*d**3. Let i be r(6). Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 129. Let x(g) = 12*g**3 - 11*g**2 + 61*g + 1. List the prime factors of x(o).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c17 (base 13) in base 16?\nAnswer: -a27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-39)\/18)\/((-262)\/(-393))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78090 and 65075.\nAnswer: 390450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6133 - 0.0563. Let t = 5.557 - f. What is the closest to -2 in 0.1, t, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (984\/615*10\/4)\/(46\/(-1))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1575 divided by 9.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 22. Let x = 11 + k. Suppose g + g = 6. Solve -g*r = -3*h + 9, x*h + h = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/24*(1 - 16). Let t be (8\/i)\/(28\/1750). What is t rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 3)*(-4 - 2*r + 4) + (3 + 4 - 6)*(-3*r - r + 3*r) + (2 - 2 + 1)*(4*r - 4*r - r) + (-2*r + 14*r + r)*(1 + 1 - 1) to c + s*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 9*y - 1. Let x(p) = -7*p + 0*p**2 + 4 - 3 + 15*p - p**2. Determine 6*h(r) + 7*x(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 5. Let s be a(4). Let z be -2 + (4 - 1) + 2. Solve -4*k = -16, s*k - 2*k = z*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20442.2 - 20442. What is the closest to 0 in -1.3, -1.4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -24*x - 1. Let w = -6 + 14. Let h = 20 - w. Calculate the remainder when r(-1) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/14 (b) 10 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i - 418. Determine q(40).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2 = -o, 11*f + 53 = -2*o + 14*f + 52 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28475 and 3350.\nAnswer: 56950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 1101034313?\nAnswer: -1101034352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 3424*n + 30 - 3019*n)*(3 + 2*n**2 - 1 + 0) as p*n**2 + s*n + x*n**3 + t and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27.5531*-13.5\nAnswer: 371.96685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 34884.\nAnswer: -104652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273 (base 8) in base 13?\nAnswer: a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-25))\/(((-140)\/(-50))\/(-7))*-5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, 42, 1, 0 in ascending order.\nAnswer: -22, 0, 1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/r**2)\/r)**(1\/84)\/(r**(-1)*r)**(-49))**(8\/9))**(27\/5) assuming r is positive.\nAnswer: r**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3095*z - 2322*z + 0 - 4 - 10. Is i(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -10*h + 1452. Does 12 divide (-10)\/55 - (-200)\/h*111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-30) - ((-42)\/65 + 2). Which is smaller: z or -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28108817*v**2 + v + 4457283 wrt v?\nAnswer: -56217634*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1995675 + -0.3715752. Let c = p + 0.172. What is c rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97926 - 97926. Solve 2*k**3 + 16\/7*k**4 + 0*k**2 + o*k + 2\/7*k**5 + 0 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeaa. What is prob of sequence eaee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41515 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: Solve g - 5*p = -25, 13950*g = 13947*g + 3*p - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68431133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 11330, 3?\nAnswer: 11330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 566730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -489 * 2405.\nAnswer: -1176045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2543*h**4 - 91*h**2 - 5*h + 39335?\nAnswer: 30516*h**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 462\/5. Let o = -1.9 + -0.1. What is the closest to l in o, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**2 + 379 - 6*h**2 - 212 to the form o*h + y*h**2 + g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10880, 49, -1 in decreasing order.\nAnswer: 10880, 49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24842*d**4 + 434*d + 36450468?\nAnswer: -99368*d**3 + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3405, 8276, 13147, 18018, 22889, 27760?\nAnswer: 32631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100101001 + -10?\nAnswer: 100100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*r + 41, -3*r + 45 = 2*r + 5*n. Solve r = -z - 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 4*f**2 + 4*f**2)*(0 - 4 + 5)*(4*f + 0*f - 3*f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -111*w - 98. What is d(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + m - 1 - 3*m**3 - 3*m**2 + 5*m - 5. Let z(n) = 5*n**3 + 11*n**2 - 11*n + 11. Calculate -11*k(b) - 6*z(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5761?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.09998 + 3.1. What is q rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - (0 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + 4 - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 4*m**3 + 55841644*m - 55841644*m.\nAnswer: 4*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 206, 470, 840, 1316?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -54*b**5 - 3*b**4 + 3*b**3 + 13*b**2 - 3*b - 3. Let p(v) = v**4 - v**3 + v + 1. Let l(d) = 3*p(d) + s(d). Find the third derivative of l(x) wrt x.\nAnswer: -3240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 8*q**2 - 2*q**3 + q**3 + 0*q**3 + 5*q**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/211949616 and -16\/7.\nAnswer: 1483647312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04692876792 rounded to 5 dps?\nAnswer: -0.04693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y + 1. Let u(k) = k**2 + k. Let j(g) = -c(g) + 6*u(g). Calculate j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(4\/(-10))*3\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908698269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*n - 9 = 0, 0 = -v + 6*v + 5*n + 5. Let u be (v\/3)\/(3\/(-117)). Calculate the highest common divisor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/6118108 and 31\/308964454?\nAnswer: 617928908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1426)\/(-1288) - 1182\/(-840)?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -141*g + 170. Let l(q) = 70*q - 93. Calculate -6*f(h) - 11*l(h).\nAnswer: 76*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*m - 5*n, 7*m - 11*m - 2*n + 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -13*w**3\/3 - 8. Let m(h) = 2*h**2. Calculate m(j(o)).\nAnswer: 338*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:46 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 5*l + 7. Let s be h(-5). Let q = -1043 - -1057. Calculate the greatest common factor of q and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + q - 2*q)*(-1 + 5 - 2) - 94*q - 18*q + 8*q + 5*q - 4*q - 3*q)*(12*q - 6*q - 12*q).\nAnswer: 612*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22 and 115\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1059? (a) -0.07 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = -37 - 100 - 3 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from narpniirmir. What is prob of sequence iii?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43241 - -168658. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b**4 - b)*(0 - 4 + 2) + 8*b**2 + 8*b**4 - 8*b**2 - 2*b**4 + 0 + 0.\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k - 2. Suppose 0 = 3*r - 1 + 4. Let f = -1 + r. Calculate o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 8*m**2 - 5*m - 10. Let v be f(-5). Suppose v = -7*q + 9*q. Calculate the highest common factor of 55 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 24 + -1 + 19 - 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/6 + (-20)\/30. Let n be j\/(-22) + (-378)\/(-99). Let y(w) = -33*w + 30*w - 3 + 3 + 2. Calculate y(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 < 49093\/525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 2300 = -53*t - 14*t. Solve t = 25*i + 100 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 71\/2792918.\nAnswer: 5585836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5501357 divided by -1\nAnswer: 5501357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 - 6*a - 10. Is 5 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {z: 1, r: 12, x: 5}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209*w**2 - 4*w - 2183*w**2 - 2209*w**2 + 8829*w**2 - 2212*w**2 + 4*w.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + -18 + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -10, c - 569 + 558 = q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9651789*l**3*m - 60*l**3 + 3*l**2 - 5*l + 616 wrt m.\nAnswer: 9651789*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + a - 41 = 0, 4*a = -2 + 6. Is i equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.879601 millennia?\nAnswer: 82555.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) 2\/27 (c) 2\/29 (d) -30 (e) -1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/90 and 11\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 132*n**3 + 44*n**2. Let v(c) = c**3 + c**2. What is -44*v(j) + x(j)?\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -7 + (-23 - -54).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + -1 + 11 + -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -387 divided by 129\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-14))\/((-4)\/(-14) - 0). Solve j*s = s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 5*a - 26, -a = -3*j - 12. Solve -2 = -c - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 20, -5*r = -t + 2*t + 26. Let y be (-4)\/t*(1 + -94). Let b = -29 - y. Calculate the highest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 + 366 = -3*j. Let k(x) be the third derivative of -x**4\/12 - x**3\/6 - 2*x**2. Let p be k(j). Let g(c) = -c**2 + c - 1. Calculate g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000240962 to 6 dps.\nAnswer: -0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 266*u + 2324 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.31 - 0.19. Let v = 2.88 + s. Let y = 1 + -4. What is the closest to 4 in y, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267*49.617.\nAnswer: -13247.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -33071825?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50950*x**2 + 50935*x**2 - 101892*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 819771229 to the nearest integer?\nAnswer: 28632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4\/5 (c) 63 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*b + 2, b + 4*b - 6 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1 - -5) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**3 - 132*s**2 - 18*s - 594. Let i be k(-33). Which is the fifth smallest value? (a) 1 (b) -2 (c) -65 (d) -0.2 (e) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120401, 4, 0 in decreasing order.\nAnswer: 120401, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 116838, 232486, 348134, 463782, 579430, 695078?\n\"Answer: 115648*i + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2 + 6. Let h be 82\/l - (-6)\/12. What is the greatest common divisor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684577 is divided by 561442?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 2*h - 5*h, -4*h + 22 = -2*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -24. Which is the closest to z? (a) 3\/4 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 3594 - 3594.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2821 + 4020. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*d + 4*v - 3*v, 5*d = -4*v - 19. Let w(g) = -g**3 - 10*g**2 - 7*g + 20. Let u be w(-9). Which is the second biggest value? (a) 4 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 214245514.\nAnswer: 428491028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 232424*z**2 - 3*z**3 - 5 - 232433*z**2 - 2. Give v(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -493547 and -493538 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -1\/4, 1\/12, -3\/493, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 25. Give q(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/102473 + -3270871\/169387869. Find the common denominator of 80\/57 and y.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*1\/10*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4536\/(-14364) + (-14)\/76)*9?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -185246 (base 12) to base 13\nAnswer: -11ab16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzkkkkzzkuzkukkzku. What is prob of picking 2 z and 1 k?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 16*p**3 - 5*p + 2. Let z = 1104 + -1105. Let t(v) = -v - 1. Let y = 17 - 12. Let h(k) = y*t(k) + z*w(k). What is the derivative of h(c) wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b**(-6)))*b)**(6\/25)*b**6\/(b\/(b\/(b\/((b*(b*b**(-1\/2)*b)\/b*b*b)\/b)))*b) assuming b is positive.\nAnswer: b**(289\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(108\/(-3)))\/((-2)\/216).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/175*77)\/((-4)\/(-30)). What is the highest common divisor of i and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/19927 or -1?\nAnswer: 2\/19927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, h: 3, v: 5}. Give prob of picking 2 v and 2 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11, -25, -69, -109, -133, -129, -85, 11?\n\"Answer: 2*l**3 - 16*l**2 - 2*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8695 and 63455.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -41b6 (base 12) to base 10\nAnswer: -7194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 4. Let y = 16.3 + -16. Let i = -0.5 - -1. Which is the nearest to p? (a) -1\/7 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -447*n. Let q be a(-2). Let r be (113*(-1)\/(-2))\/(3\/12). Suppose -3*d = -4*m - d + q, d + r = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 184?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(196)\/sqrt(4) - sqrt(49)) + sqrt(49))*6)\/(sqrt(77)\/(sqrt(88)\/sqrt(8))) + (3*sqrt(77)*5)\/(-6*sqrt(99)))**2.\nAnswer: 6727\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19209, 38418, 57627, 76836, 96045?\n\"Answer: 19209*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.7243*1.09.\nAnswer: -17.139487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - 16*q + 366. Let d be c(-14). Let m(w) = -19*w + 9. Let n(v) = 9*v - 4. Give d*m(b) + 5*n(b).\nAnswer: 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a2aa (base 11) in base 10?\nAnswer: -42954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 + 705*b**2 + 8210*b + 22800 = 0.\nAnswer: -6, -5, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 12bd89?\nAnswer: -12bd89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4497.8 to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Let o = -3 + p. Let n = 1.99 - -0.01. Which is smaller: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -63?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-18) + (-105)\/(-18). Is 5 a factor of (-4 + j)*57\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 22, 45, 72, 103?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.697 + -0.698408. Round p to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 934*y**2 - 669 wrt y.\nAnswer: 1868*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 8*d = 2*c + 448, 4*c + 8 = 0. Suppose -3*v + d = -918. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*i**2*k**3*w**2 - 2*i**2*k**3 + i**2*k**2*w - i**2*k**2 + 307*i*k**3 + 32*k**3*w**2 - 3*w**2 wrt w?\nAnswer: 100*i**2*k**3 + 64*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -35 (b) 13 (c) -5\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148799702.\nAnswer: 2, 283, 262897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1054 - 21)\/(1\/(-40)). Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15998 and -15996 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let n(c) = 2*c**2. Let w(p) = -10*i(p) + 4*n(p). Let h(g) = -12*g**2. Give h(w(q)).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.4 + 143.6. Let s = 263 - f. Let u = -99.000000158 + s. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, z: 7, a: 2, n: 1, h: 1}. What is prob of picking 1 h and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 22*z = 50*z + 124. Let l(k) = -44*k - 1. Let t(s) = 15*s. Determine z*l(u) - 7*t(u).\nAnswer: -17*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.25 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:24 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5 - 4. Let w be (-12)\/(-4 + 1) - q. Suppose -w*b + 5*c = 2*b + 25, -b + 4*c = 20. Solve 0 = z - b*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183465, -366762, -550059, -733356, -916653?\nAnswer: -1099950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 43, 61, 89, 127, 175?\n\"Answer: 5*s**2 - 7*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23257188.9 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-6 + 3 + 1 + (6 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 37 = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/8 + 2\/8. Let s(y) = y**2 - 2*y - 3*y**2 + 24 + y**2 - 6*y. Let l be s(-10). Calculate the highest common divisor of k and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:31 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 18*k - 94. Let b(r) = 13*r - 87. Determine -5*b(p) + 4*g(p).\nAnswer: 7*p + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -233, 85, -2.48, 2\/3, 3 in decreasing order.\nAnswer: 85, 3, 2\/3, -2.48, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 10 + 11. Let d(g) = 7 - g + 4 + 6*g**2 - 9 + 5*g. What is the units digit of d(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -116, -126, -136, -146, -156?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 72*v**2 - 128*v + 60 = 0 for v.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b6 + 1?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 + 25*o + 182. Determine g(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86028323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 4. Let g(r) = -2*r - 3. Let s be g(-4). Calculate the least common multiple of k(s) and (1 - (3 + -2)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**2 - 2*r**2 - 8*r**2 + 5*r**6 wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 64, 139, 228, 331, 448, 579?\n\"Answer: 7*m**2 + 54*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 783 + -782.335. What is x rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t - 23. Let w be a(4). Suppose 379 = 3*x - w*y - 2662, 4*x - 5*y - 4058 = 0. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + 0 + 3 + ((sqrt(11) + 1)*1 + -3*sqrt(176))**2.\nAnswer: -21*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = 2*k - 81, 0 = -2*r - 3*k + 39. Solve -r = 5*l - z, -2*l + 19 = -5*z + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*t + 17, 24 = 6*s - 2*s + 3*t. Let k(m) = -2*m**2 - 3*m**s + 4*m**3 - m**2 - m**2 + 3*m. Let v = 3 + 0. Determine k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 602*k**4\/3 + 8623654*k**3\/3 - 17192408*k**2\/3 - 114616*k\/3 = 0.\nAnswer: -14327, -2\/301, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*b + 276. Let m = -76 - b. Let k be (0 + 36\/(-42))\/(m\/14). Solve -2*u = 3*x - k*u - 4, -u = -2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/35)*i*i**(-1\/2))\/(i*i**16*i**7) assuming i is positive.\nAnswer: i**(-1641\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322055 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -16*m, -2*z - 11*m + 2 = -7*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 - 11*i - 14. Let o be (-52)\/8 - (-1)\/2. Let l be n(o). What is v in -35*v + l*v + 5*v**3 + 19*v = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(11\/2)\/((h**(-2\/7)*h)\/h) assuming h is positive.\nAnswer: h**(81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05008 or 71579?\nAnswer: 0.05008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13657 = 341*q - 4450 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j + 10028480. Let u be m(0). Is (-2)\/18*1 - u\/(-693) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 49 = -17*i. Sort -3, 11, i, -5 in descending order.\nAnswer: 11, -3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910242166 to the power of 1\/2, to the nearest integer?\nAnswer: 70073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -6506.\nAnswer: 208192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -464, -694?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5932622*y**5 + 4426393*y**2?\nAnswer: 355957320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - -8) + (-10 - -31 - 30) + 83?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 526 + -525. Are 4\/187 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j = 3*j - 60 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - -100?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((-2)\/7 - (-494)\/(-182)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -24\/259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b13 (base 14) to base 10\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347*q*t**2 + q*t - 2*q + 48*t wrt t.\nAnswer: -694*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -12*z**2 + 4*z + 14. Let t(g) = 36*g**2 - 11*g - 41. Let i(a) = 4*t(a) + 11*v(a). Differentiate i(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -285 + -8476?\nAnswer: -8761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6762.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 8, -4*t + 11*f - 12*f + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/j*j)**(-18)*j*j**(-2\/17)*j**24 assuming j is positive.\nAnswer: j**(-1413\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*w - 29*w + 1132*w**2 - 1131*w**2)*(3*w - 3*w - 3*w) - w**3 + 3*w**3 - 5*w**3.\nAnswer: -6*w**3 + 225*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w**(1\/4)*w**(-2\/3)*(w*w**(3\/5))\/w)**(-17\/5) assuming w is positive.\nAnswer: w**(1853\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -51336323?\nAnswer: 359354261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8*v + 124. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Suppose 0 = -3*i + 2*i + u*v + 86, -5*i + 355 = 5*v. Let l = i + 89. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126.3 - 2.7. Let z = d - -128. Put -2, -6, 2\/7, z in decreasing order.\nAnswer: 2\/7, z, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:19 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 20*x - 18)*(-6 + 2 + 3) + x - x - x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d - 0*d - 30 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 + 14 = 0. Let a = -4 - d. Suppose -2*f = -8 - a. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 greater than or equal to 353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((218\/436)\/((-1)\/2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**4 + 0 + 0*j**3 + j - 1\/30*j**5 - 83*j**2. Let b(z) = -71*z. Calculate c(b(h)).\nAnswer: -10082*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 776790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/((-5)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zzzpnnpppnpnpppp.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/6 - 2*t**2\/3 - 238*t\/3 + 784 = 0. Calculate t.\nAnswer: -24, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 f when three letters picked without replacement from kckfffkffkc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 - 15*q + 27. Let r be s(5). Solve 1 = -r*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**7\/336 - y**6\/48 - 7*y**5\/160 + y**4\/96 + y**3\/6 + y**2\/4 + 18*y - 1. What is f in j(f) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088*x + 2354*x + 13535 = 3693 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 + 19938*h**2 + 1077799*h\/2 - 8339727 = 0.\nAnswer: -38, 11, 39903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115383640 is divided by 787?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396683*w**2 + 35*w - 27*w - 8*w - 280381*w**2.\nAnswer: -677064*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -202543, -405058, -607573, -810088, -1012603, -1215118?\n\"Answer: -202515*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2\/5 (c) 6 (d) -4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3602 minus -268?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 274\/5*t**2 - 804\/5*t - 2\/5*t**3.\nAnswer: -2*t*(t - 134)*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -153.83.\nAnswer: -46.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195462366.\nAnswer: 2, 7823, 140321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1586 and ((-85)\/1071)\/(454\/(-57) + 1 + 7).\nAnswer: 33306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 4*l - 4. Let r = 6 + -11. Let c be y(r). Let x be c + -1 + 2\/1. Calculate the highest common factor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.98. Let w = k + -2. Let y = w - -4. Which is the second biggest value? (a) 2\/15 (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 2 = 14*c. Suppose 3*w = -2*q + 1618, c*w + 3*q - 1619 = 2*q. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:54 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouokkukkuuookuuokk. What is prob of picking 2 o and 1 u?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 1333, 2007, 2685, 3367, 4053?\nAnswer: 4743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*n - 784 = -1843*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*12\/(-2). Let m(x) be the first derivative of 5*x**2\/2 + 4*x + 3. Let i(n) = 9*n + 6 + 0 + 1. Calculate l*i(r) + 7*m(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96473353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p - 678 + 34*p - 11*p.\nAnswer: 114*p - 678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26425, 26042, 25655, 25264, 24869, 24470?\nAnswer: 24067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 737158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 127*w**3 - 4*w + 2. Let b be m(1). Let i = b + -88. Suppose 8*k - 16 = -n + 10*k, 5*k = -n + i. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -29. Sort d, -1, 5 in decreasing order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 323 - -1662. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 9*p - p**2 + p + 9*p + 5. Let s be m(13). Solve 4*x = o + 5, 0 = 2*x - x + o - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308586*-0.3\nAnswer: -92575.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let n = 0.1 - 0.1. What is the closest to n in k, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q. Let o(v) = -7*v**2. Give d(o(a)).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s. Let l(k) = 142*k. What is o(l(q))?\nAnswer: -710*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 3, -0.5, -0.3, -18, -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 5, 8, -11, 2\/9, -3 in ascending order.\nAnswer: -11, -3, 0.02, 2\/9, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/6*((-224)\/154)\/(-8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14433 + -10?\nAnswer: 14423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 328853671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-12 + (-30 - -44) + (4 + -6 - -117)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14299526 is divided by 4766452.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193004674 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:07 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, p: 1, w: 1, c: 2, f: 2}. What is prob of picking 1 p and 1 f?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*y + 6, 1166*t - y + 18 = 1171*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*m + 5*p, 137*m = 132*m + 3*p + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 869 + 246 - 1199.\nAnswer: 2*o**2 - 1822","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4016740, -8033472, -12050200, -16066924, -20083644, -24100360, -28117072?\nAnswer: -32133780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 15*c - 36. Let x be g(-17). Let a be x + 1 + 6 + -3. Suppose -r = -a*u - 6, 20 + 4 = 4*r + 4*u. Put 1, r, -1, -3 in decreasing order.\nAnswer: r, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24.000819s?\nAnswer: 0.40001365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4235*f**2 + 9*f - 898280.\nAnswer: 8470*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3, y: 5, g: 1, m: 1}. What is prob of picking 1 u and 2 l?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, -23, -128, -327, -650, -1127, -1788, -2663?\n\"Answer: -5*v**3 - 2*v**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c - c - 4*c. Let o(u) = u + 12. Let k be o(-5). Let x(p) = -2*p - 4. Let r(t) = -3*t - 7. Let s(d) = k*x(d) - 4*r(d). Calculate s(j(q)).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 42*g + 177. Determine a(-36).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - ((57 - 28) + -54 + 43).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*i**2 - 22*i**2 + 42*i**2)*(6*i**2 - 2*i**2 - 2*i**2).\nAnswer: 66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 18 in ascending order.\nAnswer: -6, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + u = 31, 3*u - 5 = 4*u. What is the remainder when (-8)\/(-6)*153\/6 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by -1?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - -274. Let g = 48 + s. Suppose -5*h - 4*z + g = -7, -2*z = h - 82. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 136, 3 in decreasing order.\nAnswer: 136, 129, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83 - 132) + (-2 - (3 - 12)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 2*j**2 - 5*j**4 + j**4 - 6*j**4 + 2 to the form x*j + y + a*j**4 + r*j**2 + g*j**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*y - 29*y - 141*y)*(0 + 7*y + 0).\nAnswer: -903*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2211 and 1774026.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825940 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: Simplify (((a**(-2\/5))**(-1\/6))**(-2))**46 assuming a is positive.\nAnswer: a**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.35 - 2.65. What is the second smallest value in x, 0, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 5 + (sqrt(1900) - (-1*sqrt(1900) + sqrt(1900) + sqrt(1900))) + sqrt(1900))**2 + (sqrt(1900) - (-3 + sqrt(1900)))*-4.\nAnswer: 200*sqrt(19) + 7613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -98. Solve 0 = 2*b + 2*b - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (7 - 2 - 2). Suppose l = a*l + 1, 4*v = -l + 83. Solve -2*z - 3*w - 5 = -v, 5*z - 26 = -4*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23310 + -23310.45846. Round a to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 2*d + 17. Let p be n(-5). Suppose 2 = -p*i + 8. Is 4 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 2*z**3 - 6*z**3 + (14*z - 35*z + 14*z)*(-2 + 2 - 2*z**2) + 12*z**2 + 112*z**3 - 12*z**2.\nAnswer: 124*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653093 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55316\/7 - -7941. Let f = t - 39. Which is smaller: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from gnnggfngfoggn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2590 - 1808. Calculate the remainder when v is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 0\/5 - (1 - (0 - -25)) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 13 = -3*r - a, -r + 5 = -2*a. Suppose -7*f - 1680000 = -r*f. Round f to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*w + w + 63 = 0, -5*l + 2*w + 129 = 0. Let d be 10\/36 - (-6)\/l. Let a = -10.2 - -1.2. Sort d, a, 0 in descending order.\nAnswer: d, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -410\/3 (c) 1 (d) -16 (e) -292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyfy when four letters picked without replacement from {f: 6, y: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1372539.12 to the nearest 10000.\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 468 = 1944. Suppose -166 = -3*r - 4*t - m, -3*r - t - 422 = 0. Let y = -82 - r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-4*(-14)\/42. Differentiate 31 - 30 - 11 - 138*p**n with respect to p.\nAnswer: -552*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*p - m - 1, 3*p - 6 = 4*m. Calculate the smallest common multiple of 14 and p\/((3 - 1)\/(-24)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 5*t**2\/2 - 37. What is d in a(d) = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28305 divided by 629\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzqntntj. What is prob of sequence zvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 309.8, 0.3, 1\/4?\nAnswer: 309.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 + 324 = -7*z + 3*j, 3*z - 60*j + 41 = -59*j for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183\/56 + 3359\/56. Let r = -63 + d. Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/1*25\/20. Suppose 4*d = -w*l + 26, 0 = 2*d + 1 + 1. Calculate the least common multiple of (-12 - 3)*8\/(-10) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119591 is divided by 179.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 6*n - 3*j = -6, -j = 2*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 0.2747?\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-3) + (-4)\/(-18)*-3. Suppose d = 4*a - 4*d - 10, -1 = a - m*d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14.7248 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714185418?\nAnswer: 2, 11, 29, 2686811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3. Suppose 7*b - 9 = 3*b + 3*r, 2*b - 3 = 3*r. Let a(x) = x**2 - 5. Let t(n) = b*h(n) - 2*a(n). Let z(d) = -4*d**2. Calculate z(t(f)).\nAnswer: -16*f**4 + 16*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 5*z + 5. Let d be o(7). Let q = d - 12. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 + 3*q - 2. Let d(v) = 5 - 9*v**2 - 43*v**2 + 54*v**2. What is 3*d(f) - 5*s(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892106 is divided by 3392?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:01 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/885708*-59*-12?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q + 0 - 7\/6*q**4 + 0*q**2 + 0*q**3. Let y(l) = -280 - 280 + l + 560. Calculate y(b(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u**2 - 5*u + 5. Give t(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of (-3212)\/(-12) - (-17)\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 6*p**2 - 2*p + 9. Let d = 380 + -373. Calculate l(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0 + 0*b**2 + 9\/4*b**4 + 82*b + b**3 - 33\/20*b**5. Suppose s(r) = 0. What is r?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*w + 44 = -w, -64 = -5*q + 4*w. Suppose 3*c = 1730 - 1634. Calculate the highest common factor of c and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Solve 3*w + 2*z + 18 = 0, -r*w - 6 = 3*z + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8980716484 - -0.2.\nAnswer: -1.6980716484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2967 by 3.\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -55, 4, -1, -18 in descending order.\nAnswer: 4, 2, 0, -1, -4, -18, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2 and 11\/5964.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 41 = 188. Let j = -26 + w. Let a(v) = -v**2 - 3*v + 5. What is a(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/((-4380)\/(-1704)) + 28?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 5, r: 2, v: 1, f: 3}. Give prob of sequence ggcv.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350975275391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 873 = -4*a + l, -l = -5*a + 1089. Let s = a - 213. Solve s = 4*t - 9*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/16949 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311317750?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 475*d - 3 + 475*d + (0*d + 0*d - d**2)*(3 - 1 - 3) + 3*d**2 - d**2 + 0*d**2.\nAnswer: 6*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45106994\/105 + -429582. Let k = 58\/7 - r. Let w be (-10)\/3 + 2\/6. Which is the third biggest value? (a) -4\/3 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - (2 + sqrt(99))) + -4*sqrt(1100))**2.\nAnswer: 164*sqrt(11) + 18495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51140*b**2 - 20636*b - 72.\nAnswer: -4*(5*b + 2)*(2557*b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*l = -41, -6 = -t - 5*l + 11. Let y(i) = -i**2 + 8*i + 3. Let r be y(t). Let u = 14 - r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 922251*o*y**2 - 12*o + 34042108*y**2 wrt o.\nAnswer: 922251*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.96, -16, 0.2, 2\/13?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/210*v**5 + 0 + 1\/84*v**4 + 0*v - 3*v**2 + 0*v**3. Suppose h(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 3. Let v be c(7). What is the third biggest value in 1, 4, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + l = 4*l + 42, 3*g = 4*l + 61. What is the remainder when 25 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 159. What is the greatest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 87*p - 19*p - 19*p - 27*p - 21*p. Let l(s) = -3*s**2 + 2*s + 2. Give -2*l(x) + 4*v(x).\nAnswer: 6*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 187, 271, 353, 433, 511, 587?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -8\/105*y**7 - 9*y**2 + 0 + 5\/6*y**4 - 1\/84*y**8 + 2\/15*y**5 + 0*y + 4\/3*y**3 - 2\/15*y**6. Let h(u) = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u + 73. Let z(c) = -10*c - 71. Let d(h) = -3*s(h) - 4*z(h). What is the units digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*p - 43 = p, 0 = 5*x - 5*p - 70. Suppose x = 2*q + 5. Solve -q*y - 4*t = 0, 2*t = -3*y - 0*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.1 + -115.9. Let g = f + 140.999999416. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61398 and 53136?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 3. Let f be c(-3). Solve 5*b - 12 = 3*t, -2*t + 1 + 1 = f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/((-3)\/6*(6 - 16))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 5. Let o be l(-5). Suppose 4*t - 11 - 5 = o. Solve 5*p + 5 = -v, -v + t*p = 2 - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 - 10*o - 14. Calculate j(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14433*l - 14437*l + 5640. What is the highest common divisor of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174271 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99709 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/3, -19613?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 5*v - 23. Let n be j(8). What is the first derivative of 43*h + 4 - 12*h - 31 - n wrt h?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -17. Let i(r) = 2*r + 5. Let u(l) = -l - 2. Suppose -9 = -0*c - 2*c + f, -c + f + 7 = 0. What is c*i(p) + g*u(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x**3 - 2*x**2 + x. Let n be u(-2). Let r = n - -22. What is the units digit of (-6)\/(-2 + r\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 2877424?\nAnswer: 2877424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.18 micrometers to meters.\nAnswer: 0.00080318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826 = -53*r + 59*r - 146*r + 2114 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202417666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -0.29. Let r = -0.07 - p. Let a = 21 + -20.8. What is the nearest to r in a, 2\/3, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13068 or -3794?\nAnswer: -3794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2. Let m(f) = -19*f**2 - 6. Let t(w) = -38*w**2 - 13. Let j(i) = 13*m(i) - 6*t(i). Determine j(u(z)).\nAnswer: -76*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 31414?\nAnswer: 31424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from xaxaxxxa?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 959885479381 minus 20?\nAnswer: 959885479361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 8*y**2 + 9*y + 9. Let l be n(-7). Let t(f) = -6*f. Is 7 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.213 + -0.013. Let x = c + -0.2. Let j be (1 - 6\/2) + 7. What is the biggest value in j, x, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 13*u + 14. Let a be f(12). Solve 1 = 3*w - r, -4*w - r = -a*r - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 21698?\nAnswer: 216a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 40. Let z = -32.2 - s. Let a(g) = g**3 + 6*g**2 + 3. Let t be a(-6). Is z less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048\/10060*2\/10?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + -384. Let a be (-1)\/((1 - -1)\/(-6)). Let y(l) = l - 4*l - a*l + 7*l + z. Determine y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((sqrt(168)\/sqrt(3))\/sqrt(7)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2697 - 0.2697. What is the fourth smallest value in -1, t, 3\/5, -142?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5232, 5252, 5272, 5292, 5312, 5332?\nAnswer: 5352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyytitbtiyydyttptp. What is prob of picking 1 p and 1 d?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 751*j**3 + 119*j**2 + 4. Let u(m) = -376*m**3 - 59*m**2 - 2. Let r(o) = -3*l(o) - 7*u(o). What is the third derivative of r(y) wrt y?\nAnswer: 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -7*v**5\/60 + 8*v**3\/3 + 8*v. Let u(h) be the second derivative of q(h). Let s(a) = -a. What is s(u(c))?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4295*2\/(-804) - -1. Let k be (64\/(-2144))\/(6\/30). Let v = k - q. Find the common denominator of v and -71\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -321707.655063.\nAnswer: -321707.855063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-8\/5)*r*r*r**(-12)*r**(-1\/5)*r**(-1\/20) assuming r is positive.\nAnswer: r**(-217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 61. Solve 2*n - 5*i = 0, -i + 18 = -l*n - 0*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.04 - -0.04. Let z = -32 - g. Put z, 2.4, 2\/13 in increasing order.\nAnswer: 2\/13, 2.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 138\/17 + 1 - (-2)\/136*-8. Solve 122*g = 125*g + r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtxc when four letters picked without replacement from {j: 1, x: 9, c: 4, t: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**12))\/(l*l**(8\/11))*(l**19*l)**(-3\/20) assuming l is positive.\nAnswer: l**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278063741.\nAnswer: 278063741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acaa when four letters picked without replacement from scsqaeaceacfasecseaf.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*p - 63. Suppose 2*s = p*s - 10805. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58444 - 287?\nAnswer: 58146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - y + 23 = 0, 15*y - 2 = -2*i + 17*y. Let h(t) = i - 23 + 13 + t + 6. Determine h(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, x: 4, q: 1}. Give prob of picking 1 q and 1 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 4*i + 1. Let n(f) = -f + 21. Let y be 6\/(18\/6) - -9. Give y*m(u) - 2*n(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6053\/3240 - 37\/81. Calculate the common denominator of f and -31\/236.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5913 = -n, 2*t - 59*n + 60*n - 1683 = 0. Calculate the lowest common multiple of t and 4220.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-9) + 408\/(-27). Let r = d - -19. Solve 2*k + r*u + u - 5 = 0, 3*u + 23 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268 smaller than -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2214 + 558 + 556 + 551 + 30*o**3 - 14*o**4 + 548 in the form y + s*o + l*o**2 + h*o**4 + z*o**3 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3787 (b) 0.5 (c) 1049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1208 + -1175. Calculate the smallest common multiple of v and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3\/4))**(-18)\/(a\/(a*a**3))**(-13\/4))**(-31))**(-13\/2) assuming a is positive.\nAnswer: a**(6045\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2567 is divided by 731.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -21. Suppose -46 = 2*s + 4*c, 5*s - 2*c + 97 = -z*c. Let o = s + 27. What is the greatest common divisor of 32 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3050*d**3 - 2991*d**2.\nAnswer: -18300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c - 33. Suppose 17*p = -35 - 67. Let i be b(p). Solve 1 = 2*m - i*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0494783002 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45216.28 centuries to decades.\nAnswer: 452162.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 454 or 3151\/2?\nAnswer: 3151\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 9*l + 27. Let i(v) = 14 - 12 + v + l. Let a be i(-9). Solve -t - t = a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100101000 (base 2) to base 16\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - f - 664 = 0, 107*f = 3*x + 103*f - 996. Solve 0 = 45*n + x - 62 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2984.989 * -0.1.\nAnswer: 298.4989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 76*c + 4524. What is the highest common divisor of 783 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.51 or 198?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 13*m**2 - 10*m - 34. Let p(f) = -6*f**3 + 14*f**2 + 11*f + 36. Let i(b) = 6*p(b) + 7*r(b). Let h be i(-7). Solve -h*x - 10 = -8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -24. Solve -y = t*p - 3*y + 16, -p - 4*y - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1944)\/(-108)*(763\/42 - 10)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -b + 2*p + 17, 0 = -4*b + 4*p - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44266 and -1918?\nAnswer: -2767.02188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 412959 * 11.3\nAnswer: 4666436.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/1440 - r**5\/480 - r**4\/48 + r**3\/6 + 8*r**2. Let g(a) be the first derivative of t(a). Let g(p) = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5534 is divided by 1830?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 + (105 - 114).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144866 (base 12) to base 11\nAnswer: 212427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 35. Let i = 2 - 4. What is the second smallest value in n, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Let t = -0.753 - -0.653. Put p, -2\/19, t in descending order.\nAnswer: p, t, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12233.\nAnswer: 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 5*n**2 - 15*n - 25. Let b = 449 - 452. Let s be g(b). Solve s*y + 3*y = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((94\/6)\/1)\/(6\/9)*39570\/19785.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 61 = 4*h. Let a = -11 + 15. Suppose -a*r = -2*r - h. Solve 5*d - 2 = -r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 81. Suppose 3*h - 5 = 10, 2*u - 151 = 3*h. Let g = u - 43. Calculate the highest common divisor of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 35*z - 133. Determine a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*d = g + 168, -2*d = g - 168. What is the remainder when 277 is divided by (3\/6)\/(-3 - (-510)\/g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 0, -23*q + 22*q + 85 = h. Calculate the remainder when q is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e4 + 1f3f?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 2307*g**2 - 36093*g + 38403.\nAnswer: -3*(g - 1)*(g + 17)*(g + 753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + (7 - -19) + -7 + -6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102628 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1293294650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 487, 971, 1453, 1933?\n\"Answer: -u**2 + 487*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 178?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*y = 2*y + 1108, -3*y = 5*i - 1385. Suppose 2*a - 1003 = -i. Suppose 0 = 7*c - a - 197. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*p = -155, 39*p - 35*p = -2*b + 62 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 3*u - 1. Let n be f(3). Let b(a) = -2*a - 5. Let w be b(n). Let s be w\/(-25)*(-8)\/(-6). Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and -137\/510?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/33 + 12\/11. Which is the third biggest value? (a) 7 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -40265*r + 201330. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (112\/12)\/(4\/6). Let w(m) = 24*m - 3. Let j be w(o). Suppose 8*y + f = 3*y + j, -4*y + 260 = 4*f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 68 = -w, 2*w = -w + 5*o - 274. Let v = w - -83. Suppose -28 = -3*p - 4*c, 3*c + v*c = 3*p. Sort -5, 1, p in ascending order.\nAnswer: -5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 3001428?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8316 and -119\/4644.\nAnswer: 357588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*u - 33, 5*g - u + 2*u = 29. Let z(s) = -13 + 16 + 11*s - s**2 + g. What is the tens digit of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222022133 (base 4) to base 8.\nAnswer: -521237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6763, -13527, -20291, -27055, -33819, -40583?\n\"Answer: -6764*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*24\/180*20\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035646849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3 + 0*r - 1\/2*r**2. Let u(a) be the third derivative of -a**4\/24 - a**2. Calculate w(u(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 + 6*s - 82. What is m(5)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwsfwwwswswfffwfw. Give prob of sequence wwww.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 15*b**2 + 15. Let v(k) be the first derivative of k**3\/3 - k + 1356. What is -j(p) - 15*v(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m = 36. Find the common denominator of m\/20 + (-13)\/(-55) and -43\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v + 382. Calculate d(-26).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*a*w**3 + 6*a*w**2 + 57*f*w**3*x + f*w**2*x - 5*f*w**2 - w**2*x + 15*w**2 wrt w.\nAnswer: 246*a + 342*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeezee. What is prob of picking 3 e?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51523 times 2?\nAnswer: -103046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.23 + -0.23. Let i be (-10)\/8 - (-1)\/4. Sort -5, i, u.\nAnswer: -5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -239\/7 + 34. What is the nearest to c in -1\/7, 0.1, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 2*g - 3. Let x be n(3). Let p = -17 + x. What is the third biggest value in 4, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3893713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -17*i + 262. Suppose 2*v - 40 = i*v. Calculate the remainder when 86 is divided by (-181)\/v + 15\/(-60).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -144?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqcclpp. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 777781901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(18\/5))\/((-107086)\/22947).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4736 divided by -2368?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 10800 = 3*q. Suppose -1302 = -6*a + q. Suppose 3*u - 7*u = -3*y + a, -2*y + 2*u = -292. What are the prime factors of y?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*105*(-25)\/(-375)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 4:39 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 - c**2 + 3*c + 5. Let h(r) = r**3 - r**2 - 1. Let q(z) = -4*h(z) - t(z). What are the prime factors of q(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3054557\/70 or 43637?\nAnswer: 3054557\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24705 + 24711. Solve -h + 25 = -4*i, f*i + 5*h - 45 = 10*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284 - 6534\/23. Let z = -29\/69 - k. What is the biggest value in -3, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - d**2 + 5 - 26 - 5*d + 18 + 16. What is j(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 20*b**3 + 105*b**2 + 20*b - 140.\nAnswer: -5*(b - 7)*(b - 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55357708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - -10. Suppose v + 56 = 4*b. Calculate the greatest common divisor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 - 4*d - 126. Let m be v(0). Sort 2, 5, m in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 54 + 672. Calculate the common denominator of -1 - 3 - h\/(-6) and (-27)\/2 + (-3)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/88049 and -53\/20779564.\nAnswer: 20779564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 2\/7, 2\/9, 6\/4879, 2, 4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-20) - (-26)\/(-8). Let w = b - -5. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 89*x + 11264. Let l(t) = -36*t - 5631. What is -2*f(o) - 5*l(o)?\nAnswer: 2*o + 5627","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9 + 3. Suppose 0 = -o*h - 3*f + 34, 6*h - 71 = h - 4*f. Let t = h + 2. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (15\/132*62 - (-18)\/(-2))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2360 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(6\/9) - 3. Suppose j = -5*x + 46 + 464. Suppose -2*q - 26 + x = 0. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -2d9?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.7 - 33.7. What is the smallest value in -55, s, 3\/5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10)\/((a*a**3*a*a)\/a))\/(a\/a**(2\/11)*a**(-5)) assuming a is positive.\nAnswer: a**(-101\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644 - 644. What is the second smallest value in -4, s, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14714 + 14706. Let k(y) = 2*y**3 + 17*y**2 + 15*y + 26. Determine k(g).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.5649ml in litres?\nAnswer: 0.0835649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*z + 2430, -7*m + 3*m = -2*z - 1962. Suppose 112 + m = 5*a. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k - 1. Let q be w(-1). Let r = 18 + -16. Suppose 2*b = b + z + 4, -8 = -b + r*z. Is b >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-10 - -34) + -6 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(0 + 6*(4 + sqrt(70)\/(sqrt(10) + sqrt(60)\/sqrt(6)))**2 + 4).\nAnswer: -442 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -5. Let a = -1.493 + 1.473. What is the nearest to a in 3, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 89. Let k be (4\/u)\/(2\/(-36)*-3). Solve -8 = -o + 5*n + 22, k*o - 4*n - 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.869 - 0.269. Let a = -38 + l. Let t = 0.6 - a. What is the third biggest value in -2, 0.3, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3109 - 40415\/13. Which is the nearest to -2\/19? (a) 166 (b) f (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s**(-3\/8)))*s)*s**(1\/16)*s)\/(s**(-2)*s*s\/(s*(s\/s**(-10))\/s)) assuming s is positive.\nAnswer: s**(183\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m + 2. Suppose -c - 3*h + 5 = 4*c, h = -3*c + 7. Let u = 1 + 0. Sort m, c, u.\nAnswer: u, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/9*(-1 + 0). Let o(y) = -y**3 - 7*y**2 + 7*y + 16. Calculate the remainder when 68 is divided by o(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -20756.294?\nAnswer: -20760.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 - 5 = 0. Let b(q) = q - 1. Let u be b(0). Let v = z + u. Let f(w) = -4*w**2 + 3*w - 1. Let k(r) = 5*r**2 - 4*r + 2. Calculate v*f(n) + 2*k(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 3*h - 3*h)*(-56 + 69 - 52)*(-h - h + 4*h) in the form g*h**2 + a + t*h + d*h**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499948924 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1807 divide 1205154103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3703 = j - 3626, 4*j + 5*u - 67 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5*g**3\/3 - g**2\/2 - 61. Let q(t) = -15*t**2 + 3*t. Give -8*m(i) - 3*q(i).\nAnswer: 5*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:58 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 3) to base 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69520 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -76\nAnswer: 75.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1852561?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365779, 731597, 1097435, 1463293?\nAnswer: 1829171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5))**(-11)\/(t*t**(-7\/3)*t*t*t*t**(-7)*t*t*t) assuming t is positive.\nAnswer: t**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 26*d + 25*d + 25*d - 101*d + 30*d. Let z(f) = 45*f**2. Calculate w(z(v)).\nAnswer: 225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 + 6. Let w(o) = -7*o**2 - 5. Let s = 0 + 5. Suppose 0 = 27*m + 36 + 18. Let v be (m + (-12)\/9)*36\/(-20). Determine s*y(k) + v*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 39 (b) -2\/27 (c) -1 (d) -2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 146024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -220728776 less than -163.7041?\nAnswer: 220728612.2959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-5 + sqrt(44) + 1 + 1)**2*3.\nAnswer: -216*sqrt(11) + 10704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -34380 and -34460 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -5)\/(1\/6). Let k(y) = 3. Let a(c) = -c - 24. Give w*k(r) + 3*a(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**3 - 334*h**2 + 66*h + 224. Calculate z(-67).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.672 times -11426\nAnswer: -30530.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341 (base 6) in base 12?\nAnswer: -3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-35)\/(-70))\/((-1)\/(-526)) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -393684*s**5 - s - 32172 wrt s?\nAnswer: -7873680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192129643*f*i - f - 819*i - 61477 wrt f.\nAnswer: -192129643*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 149*s + 5500. Calculate m(-67).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*i + 2 - 4 = 0, -4*x = -4*i - 24. Solve -14 = -x*j + 4*y, -4*j = -y - 0 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 28. Let l(o) = -13 + i + 15 + 2 - 18*o. Let t(d) = 37*d - 13. Let r(b) = 5*l(b) + 2*t(b). What is the first derivative of r(a) wrt a?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -67, 4, -2, 89, 2.\nAnswer: -67, -2, 2, 4, 89, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 252?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let c(b) = 0 + 0 - 4*b**2. Let h(s) be the first derivative of 13*s**3\/3 - 2. Let o(d) = 7*c(d) + 2*h(d). What is x(o(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 2 = 45*y - 3*u, u = -4*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 631137900, 631137898, 631137896, 631137894, 631137892?\n\"Answer: -2*i + 631137902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, h: 3, d: 3, f: 2}. What is prob of picking 2 a and 2 d?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m**2 + 4*m)*(-11 + 3*m**2 + 11).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*n - 2. Which is the fourth biggest value? (a) 0.7 (b) n (c) 0.2 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:22 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-142)\/(-5)*(-6 - (-7)\/2). Let h = x - -82. Calculate the remainder when 34 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186707 is divided by 732.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/20)\/(3\/(-25)). Suppose w*d = -5*h + 2135, 0 = 4*h - 0*h + 2*d - 1702. What is h rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25253 (base 6) in base 13?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -514447 and -514390 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*k + 26*k - 15. Suppose -g + 5*p - p + 53 = 0, k*p = -20. List the prime factors of (g - -1) + 15 + -13.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8.532, 1, -1\/5, -0.9, -2\/5.\nAnswer: -8.532, -0.9, -2\/5, -1\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547030985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1136685, -2273601, -3410517?\n\"Answer: -1136916*o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from zrgyyzyyzqvzzzyvr.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.9\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*s + 628385 - 97398. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131533452 (base 6) in base 12?\nAnswer: -a5a288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2450)\/175)\/(-42))\/(1\/81).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.67*38.\nAnswer: 25.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284575*n - 569155*n + 284581*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1593\/11 + 145. Let i = 84 - 87. What is the third biggest value in i, 2, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 3. Suppose -16 = -n*r + 2. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5175\/2 or 2589?\nAnswer: 2589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g + 1. Suppose 0 = j + 1, -5*p + g*j + 2 + 3 = 0. Suppose p = -3*s + 8*s. Solve 5*h - 10 = s, -3*d = d + 2*h - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 60*v**2 + 516*v + 20. Is 125 a factor of l(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 8. Let u be t(7). Let f = 0.02 - -0.04. Let r = f + -0.46. Which is the second smallest value? (a) r (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/4032 - a**7\/504 + 5*a**6\/48 + 61*a**5\/30 - 77*a**2. Let p(t) be the third derivative of r(t). Factor p(x).\nAnswer: -5*(x - 3)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 7. Give w(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*y**2 + 498*y**2 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from ssssexxxxssxsxnses?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470\/50 - 10 - 31\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2003295 bigger than -2003469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317115 and 706440?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 194 + 192 + y**2 to the form z*y**2 + t*y + g and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, 0.03, 1, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 724.\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j + 4. Let y(c) = -29*c - 9. Give -5*l(a) - 2*y(a).\nAnswer: -17*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8288804760 + -0.02027.\nAnswer: -8288804760.02027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (584*d - 9*d + 43*d)*(-2 + 1 + 0) to z + u*d and give u.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 903673682 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000664782412 rounded to six decimal places?\nAnswer: -0.000665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -58*g**2 + 1329*g + 7. Let x be q(10). What is the greatest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1*3\/(-3). Suppose 2 = -f*m + 5*m + q, 2*m - 5*q + 17 = 0. Let l be m\/(((-2)\/13)\/2). What is the greatest common divisor of 39 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -2\/57, 2, -347, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -142113774 divided by 4306478\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.78 + 0.22. Let o = v + -4.5. Sort -0.2, -1, o in descending order.\nAnswer: o, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 2, v: 4}. What is prob of sequence ihh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = -92*m - 79 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73302*y**3 - 73345*y**3 - 132*y**2 + 132*y**2.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 = -r. Sort -3, 0, 1, r in decreasing order.\nAnswer: 1, 0, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.314*-0.05\nAnswer: -0.0657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let u(i) = 5*i + 13. Calculate u(f(o)).\nAnswer: 5*o + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6079 - 3966. List the prime factors of b.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -21, 9, 65, 147?\n\"Answer: 13*d**2 - 35*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/12240 and 91\/150.\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -37. Let f(c) = -c**2 - c + 4. What is f(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**(1\/14))**(-13) assuming z is positive.\nAnswer: z**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 3381570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-56)*-3*(-4)\/18.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 5*h**2 - 37*h**3 - 225705 + 225705 + h**2.\nAnswer: -37*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116561 + 0?\nAnswer: -116561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.27, 50, 6 in increasing order.\nAnswer: -14.27, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033476155 take away 124247?\nAnswer: -124247.033476155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i + 1519 = -97*i - 369 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -329. Let s be (0 + 1 + -2)\/(-30 - v). Let a(f) = f**3 + 5*f**2 + 3*f + 6. Let j(t) = t**2 + t + 1. Determine s*a(x) - 5*j(x).\nAnswer: x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 15. Let s be c(9). Let j(g) = -g**3 + 5*g**2 + 8*g - 1. Let q be j(s). Let z = q - -22. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**5 - 61208*u**4 + 244884*u**3 - 183672*u**2 = 0.\nAnswer: -15306, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**5\/5 - 351*n**4\/5 - 717*n**3\/5 + 351*n**2\/5 + 714*n\/5 = 0.\nAnswer: -2, -1, 0, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0) + 0\/11. Let k be 4\/(-22) + ((-48)\/(-22) - p). What is the highest common divisor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18*2\/(-10)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35946)\/72 + 6\/(-8). Let k = -475 - w. Let a be 3 + 1 + -2 + 0. Sort 0, -2, k, a.\nAnswer: -2, 0, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*(-2580)\/3225*25\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229\/852 - -4\/213. Which is the third biggest value? (a) -1 (b) -11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1405445, -2811985, -4218535, -5625101, -7031689, -8438305, -9844955, -11251645?\nAnswer: -12658381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5137, -23173, -53237, -95329, -149449, -215597, -293773?\nAnswer: -383977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6493*y**4 + 2789*y**2.\nAnswer: 155832*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 733247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.83 - 17.83. Let u = 8391.99743 - 8384.99743158. Let c = u + z. What is c rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 153 - 174 = 0. Let c be (-2)\/(2 - (-16)\/(-6)). Let l = g + c. What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 30*a. Let r be t(-7). Let s be (-1 - 1)\/(r\/(-3402)). Put s, 2, -4 in decreasing order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (7 - 10) + 13 + -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 20 + 16)*(-119 + 240 - 118 + w + w**2) to f + g*w**2 + b*w and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270054903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 5320 - 10645 + 5322 + 287*z**2.\nAnswer: z**3 + 287*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 12*i**5 + 15*i**4 + 3*i**3 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 22*r**2 - 2*r. Let h be w(5). Let n(f) = 8*f**2 + f - 2. Let k be n(1). Suppose 3*i + k*i = h. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 14.4. Let f = g + -1. Let q = -133 + 1329\/10. Put -0.5, f, q in descending order.\nAnswer: q, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*75\/(-1100))\/((-1206)\/(-8308)).\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*t + 14 = 0, -4*t + 2*t - 10 = -2*s. Suppose j + 12 = 5*j, 2*l = s*j - 20. Let w be ((-1)\/2)\/(l\/(-28)). Let p(y) = 2*y. Give p(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, j: 3, l: 7, f: 2, n: 2}. Give prob of sequence llfl.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:23 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 678464, 678463, 678462, 678461, 678460?\nAnswer: 678459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10598*j**2*w**4 + 6*j**2 + j - 29 with respect to w.\nAnswer: 42392*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 1 - 40*c - c**3 - 2*c**2 - 2*c**4 + 38*c as l*c + q*c**3 + y*c**2 + b*c**4 + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 424*y**2 + 11707*y + 175. Give t(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17394539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 - -2447554.627?\nAnswer: 2448060.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uysbx. Give prob of picking 1 u and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25 - 7 - 2*b - 4*b**2 + b**3 - 7 - 9. Let l be 3\/((-15)\/2)*-10. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdd when three letters picked without replacement from {y: 4, h: 3, q: 1, d: 6, f: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440987473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5.5 (c) 79 (d) 0 (e) 0.17 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2980 - 3282.55629.\nAnswer: -6262.55629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24 - 9*l - 56*l + 13 - 68*l. Is r(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -117. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034946679 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 13 - 5. Let q = -15 - -12. Let h be (-4 + q + 0)*-3. Solve -5*p - h = v*d + 10, 2*d = 2*p + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*z**2 - 3418*w + 5*z**2 - 5911 with respect to w.\nAnswer: -z**2 - 3418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*n - 4 - 94*n - 99*n.\nAnswer: -17*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 119*p**2 + 0*p + 0 - 17\/3*p**3 + 1\/12*p**4. Let y(q) = -5*q. Calculate y(n(c)).\nAnswer: -10*c + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*k = -9*k - 5, 30 = 3*t + 5*k. Suppose -t*b + 58 = -32. Calculate the remainder when b is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000506 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/84 - 6\/28)*-6. Let j be 7\/(-14)*(2 + 4)\/w. Suppose 4*m - 1 = 5*v + m, -2*v - m - 7 = 0. Sort v, 1, j.\nAnswer: v, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**16)\/(n**12\/n))**31)**48 assuming n is positive.\nAnswer: n**(-38688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 14 = -6*j. Suppose -j*z + 9*z = 4. Suppose 0 = 2*q + 5*t - 4191, 754 = z*q - 4*t - 3464. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(60)\/sqrt(300) + sqrt(5)) + sqrt(57)\/(sqrt(30)\/(sqrt(50)\/sqrt(5))).\nAnswer: 11*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3287152 by 21626.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -0.4 (c) -200 (d) 3 (e) 2\/3179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9876158 by -35654.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-17)\/(-102))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8932 a factor of 820154104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*(-8)\/27*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - -57 - (-2 + -4 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 496\/(-6). Suppose -3*i = -2*u + 10 - g, -2*i + 5*u = -45. Let m = 51 - i. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15980 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 33898 = -86*v + 52853. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/959628 and 53\/128481?\nAnswer: 108437964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 107, 3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 10242236*z + 317505472.\nAnswer: 4*(z - 2560528)*(z - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -306592.318 rounded to the nearest 10?\nAnswer: -306590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*w = -10, 5*h - 3*w = -0*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 413, 3080, 10135, 23714, 45953, 78988, 124955?\n\"Answer: 356*b**3 + 58*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13140 (b) -4 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -572, -2\/3, -2\/15, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2645 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (4 - 4) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*v**2 - 21*v - 173?\nAnswer: -24*v - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3951234 and 22518.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -51.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37934 and 52.\nAnswer: 75868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + 48. Let w = f - 170.14. Round w to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022101168 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 13*o**2 - 35*o + 68. What is v(-16)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 6\/7*o**2 + 0*o - 10 - 2\/21*o**3. Find c, given that m(c) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c - 19*c - 15*c - 8*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 17) + (12 - -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3344 + -1215. List the prime factors of t.\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*4*(-84)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from uuuuggupugpu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17244 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -24.84501.\nAnswer: 124.22505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -518*v + 3*v + 1545 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38944, -156661, -352856, -627529, -980680, -1412309?\n\"Answer: -39239*v**2 + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, -143173 in decreasing order.\nAnswer: -4, -32, -143173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from ggggivgggdtgsgggg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 554871 - 1?\nAnswer: 554870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000178529 rounded to 7 decimal places?\nAnswer: 0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y + 1\/12*y**5 + 11\/24*y**4 + 0*y**3 + 0 - 4*y**2. What is the second derivative of w(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 26. Which is the closest to -0.2? (a) 1 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-16))\/(-1)*(-2280)\/(-1872). Let z = -1\/624 - f. What is the closest to 0 in -3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*r = 92*r + 442. Let g(d) = d**2 + 11*d + 9. Let s be g(-10). Let p be 2 + (6\/(-3))\/s. Put 7, r, p, -1 in descending order.\nAnswer: 7, p, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/9 + 30050*c**2\/9 - 60046*c + 270126 = 0. What is c?\nAnswer: 9, 15007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38420 (base 9) to base 8.\nAnswer: 62401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 5*d - 20, 5*x - 8 = 9*x - 2*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3649629 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64141, 64043, 63767, 63223, 62321, 60971, 59083?\nAnswer: 56567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364241 is divided by 467.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/405*-42)\/(2\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1258 = -3*t + 1805, -4*r = -5*t + 5103. Calculate the lowest common multiple of t and 1364.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -750419 in decreasing order.\nAnswer: -1, -3, -750419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*2*2\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4928920 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:11 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 1. Let y be 0 + (o - (-1 + -2)). Solve -2*z + 6*z + 9 = v, 4*v + y = -4*z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12279166 is divided by 155432.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (12 + -9)\/((-3)\/(-11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = h + 8*h. Let y(t) = t**2 - 17*t + 125. Calculate the remainder when y(6) is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**2. Let x(t) = 4*t + 6. Let p(i) be the first derivative of 3*i**2\/2 + 5*i + 5. Let h(m) = 6*p(m) - 5*x(m). What is v(h(a))?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.1 (c) 180 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 265*k**2 + 1008*k - 54. Is z(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157867355 divided by -5\nAnswer: -31573471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 - 5*r**2\/2 - 2*r + 1. Let b be g(-4). Suppose 3*u + b*w + 17 = -2*u, 3*u = 3*w - 6. Put -1, u, 0 in ascending order.\nAnswer: u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 5*q + 35 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 32365*u + 4159105. Calculate p(128).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*a**3*w**3 - 2*a**3*w + 3*a**2*w**4 - 56*a**2*w**2 + 3*w wrt w?\nAnswer: 978*a**3 + 72*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -74. Suppose -p = k - 18, -k - 5*p + t + 19 = 0. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3648, -3641, -3624, -3591, -3536, -3453?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10550 is divided by 381.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.98 + -0.02. Let q be (4\/60)\/((-33)\/275*5). Which is the biggest value? (a) 2\/3 (b) m (c) 1.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8245.33 years to months.\nAnswer: 98943.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57359 and 499339.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 9*d**2 - 11*d - 22. Suppose -5*r + 648 = 688. Let a be i(r). Solve 3*q + 3 = 3*w, -a*w - 6 = q + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a**5 + 1131*a**4 + 24183*a**3 - 204531*a**2 - 1042632*a + 369360 = 0 for a.\nAnswer: -95, -36, -4, 1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1592, -2475, -3358, -4241, -5124?\n\"Answer: -883*k - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10682908 + 3*z - 9*z**2 - 10682909 - 3*z - 10682906 + 32048723.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 greater than or equal to 4542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 178. Suppose f = 4*h - 609. Calculate the remainder when h is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2159 and -14\/17.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8281283?\nAnswer: 19, 435857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let r(h) be the third derivative of -h**7\/336 - 5*h**5\/12 + 24*h**2. Let j(l) be the third derivative of r(l). Give s(j(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5934570 + -5934569.4899966. Let p = s + -0.51. Round p to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 29*a - 1148 = 0. Calculate the remainder when (4*3\/8)\/(18\/10380) is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001101110010101010 (base 2) in base 3?\nAnswer: 20000200121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2700 - 17887. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from {t: 4, x: 5, b: 5}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/(m*m\/m**(-3)*m)*((m*m\/m**(1\/4))\/m)**45)\/((m**3\/m*m)\/(m**(-2\/3)*m*m)*m**(1\/8)*m\/(m**(-3)*m)*m) assuming m is positive.\nAnswer: m**(173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-1)*(3 + 9*(-2)\/12). What is the highest common factor of t and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128*i**6 - i**2 + 3 wrt i.\nAnswer: -15360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 958*d**6 - 2*d**2 + 154*d?\nAnswer: 114960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 330 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 231, 521, 927, 1449, 2087?\nAnswer: 2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 66314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*m - m. What is the units digit of ((-6)\/m)\/(-3)*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 3*j**2 + 3*j - 2. Suppose 5*b + 2 - 827 = -2*g, -g = -b + 165. What is the remainder when f(2) is divided by 3\/(-18) - b\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2032103331 (base 4) to base 9.\nAnswer: -1077536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 4, g: 2}. Give prob of picking 1 s, 1 u, and 1 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - -2*sqrt(132)))\/sqrt(12).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 105*x + 14. What is r(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88996862482426 and 0.04.\nAnswer: -88996862482425.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/11, -25411, -0.12, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + -3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 127722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y - y)*(-4*y**3 - 2*y**3 + y**3).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-26 + 29 - (4 - -3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45435\/8 - -5672. What is the common denominator of r and 19\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2739*h = -2736*h + 10 + 23 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 493116.267 to the nearest one thousand.\nAnswer: 493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from qtqaaqcq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*b**2*t**2 + 1273*a**2*b*t**2 + 49*a**2 + 2*a*b**2*t + 2*a*b**2 + 29*a*b + 2*a*t**2 - 117*b**2 wrt a?\nAnswer: 2*b**2*t**2 + 2546*b*t**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4568*a**2 + 211*a wrt a.\nAnswer: 9136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 445.114 + -446. Let v = g - 9.024. What is v rounded to one decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084*d**4 + 175789*d**3 + 360771*d**2 + 181839*d - 59 = 0.\nAnswer: -1, 1\/3084, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42130\/1311 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48918 - 244632\/5. Let t be (-7)\/6 + -1 + 2. Is t != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - 17 - 14 - 4*j - 14 + 6 + 3 as h + i*j + n*j**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaao. Give prob of sequence oxo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 5*z**2\/2 + 4*z + 3. Let c(l) = -6*l - 5. Calculate 3*c(m) + 4*x(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i + 117. Calculate y(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37, 29, -9, 0.4, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3676341, -7352598, -11028857, -14705118?\nAnswer: -18381381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 127*x - 340*x - 314 - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/9 + (-4167)\/(-594))\/((-390)\/(-715))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m**2 - 2*m - 8. Let t(w) = -14*w**2 - 2*w - 6. Let b(c) = -3*a(c) + 4*t(c). Let o(k) be the first derivative of k**2 + 1. What is o(b(y))?\nAnswer: -34*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2023.9 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*z - 80 = 0, -5*z - 106 = -3*y - z. Let w(u) = u**3 - 10*u**2 + 10. Let p be w(10). Let t = 20 - p. What is the remainder when y is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -984, -3532, -8494, -16674, -28876, -45904?\nAnswer: -68562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4093949 is divided by 1225.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90625 less than 0.6?\nAnswer: -90624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 1. Let k = 1 - 3. Let a(q) = -q**2 - 11*q - 4. Let x(y) = k*a(y) + 11*g(y). Differentiate x(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 507 = -31*u + 5*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 806 divided by -2?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9*m = -24. Suppose x = 2*x - 11. Calculate the remainder when x is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/11683 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*i**3*k - 3*i**2*k + k - 92 wrt i.\nAnswer: -186*i**2*k - 6*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3\/5 (c) 43 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33340389.\nAnswer: 3, 149, 74587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 559327510 by 30506.\nAnswer: 18335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 + 5*z**3 - 7*z**3)*(0 - z + 0)*(591*z - 500*z - 679*z - 1135*z).\nAnswer: 5169*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7520)\/(-1128)*(-4)\/10 - (-574)\/222.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -549633 (base 10) to base 2.\nAnswer: -10000110001100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7169669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -8*k**2 + 1\/3*k**4 + 0 + 0*k + 1\/3*k**5 - 14\/3*k**3 = 0.\nAnswer: -3, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = 4*y, 9*f - y + 9 = 14*f. Let j(c) = -c**3 + c**2 - 4*c + 6. Determine j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3158*i + 3134*i. Solve 2*r - k + i = 0, -3*r - 5*k = -r + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*w - 8 = 141*w. Suppose -12*n + 288 = w*n. Calculate the remainder when 33 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 9. Suppose 4*o = -2*z + 5*z + 23, -b = 2*z. Suppose -3*i - 8*s = -3*s - 47, -4*i + o*s + 54 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(153) - (-1*sqrt(85)\/sqrt(5) - sqrt(17))**2.\nAnswer: -68 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -4.08. Let i(c) = c - 7. Let s be i(5). Let d = -1.382 - -0.382. What is the nearest to -1\/4 in z, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 8. Let l(o) be the first derivative of 2*o**3\/3 + o - 1. Let r(y) = 6*y**2 + 2. Calculate i*l(x) + 3*r(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 2)*(-y**5 - y**5 - 3*y**5).\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-6)*4*3. Let o be 1158\/10 + (-4)\/s. Let l = o - 80. What is the greatest common factor of 24 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51279.\nAnswer: 3, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.214*-7.\nAnswer: 1.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(112) + (sqrt(112) + 0 - sqrt(112))**2) + 5 + (-4 + (4*(sqrt(112) - 1*sqrt(112) - sqrt(112)) - sqrt(112)))**2.\nAnswer: 168*sqrt(7) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7965 and 540?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1742 divided by -6\nAnswer: 871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -996, -2462, -4402, -6816, -9704?\n\"Answer: -237*o**2 - 755*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = -2*s - 2*z, 5*s - 4*z - 13 = 0. Let j = 97 + -94. Let q(n) = 3*n**3 - 2*n**j - s - 5*n**2 - n - 2*n**3. Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -23. Suppose -4*b - 2*k = -130 + 4, -5*b + 4*k + 151 = 0. Let s = n + b. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8137 + -4730. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f, 6*u = u - 3*f + 46675. Let i(v) = 3*v**2 + u - 9335. Let x(l) = -93*l**2. Calculate x(i(k)).\nAnswer: -837*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 14) in base 10?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -140, 2\/5, -314 in increasing order.\nAnswer: -314, -140, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from {s: 3, b: 1, d: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -14. Let a = 28 - z. Suppose a*b = -5*d, -2 = 5*d - 3*d. Round b to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 20. Let c be r(5). Suppose 0 = 3*p - c*p + 16. Is 48\/12*590\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/827 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*v = 2 - 0, -2*v - 12 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.394321581 to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 12. Let u(l) = -l - 1. Let y be u(-4). Suppose y = -3*z + 24. What is the units digit of i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 169 + 25 = 0. Let q = -20 - b. Suppose 0 = q*s - 9 - 3. Solve s*f = 2*x + 4*f, 4*x - 12 = -5*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(143)\/(sqrt(33)\/sqrt(3))*2.\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/5)\/((-2)\/1010). Let v = u - 199. Suppose 2*m = -2*m + v. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899*x**2 - 256597*x**5 + 256597*x**5 + 613*x**6 wrt x.\nAnswer: 73560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74177594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) - (sqrt(108)*-2*-2)**2 - sqrt(108).\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*4*1*sqrt(200)*-3*-2)**2*4.\nAnswer: -19200*sqrt(2) + 11520016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 27*q + 9. Let n be l(14). Calculate the highest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100001 (base 2) in base 16?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 5289242660603.\nAnswer: 5289242660607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-170)\/15) + (-4)\/(-6). Let i = 15 - l. Let s(d) = -7*d. Calculate the smallest common multiple of i and s(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.5. Let a = -64.1 + 63.9. What is the nearest to -3 in -0.03, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + -3*(3*sqrt(242)*-2 + sqrt(242) - ((sqrt(242) - (sqrt(242) + 2)) + -5 + sqrt(242))))**2.\nAnswer: -7128*sqrt(2) + 78732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -18. Let t(s) = s - 4. Let n = 7 - 4. Let j = n - -2. Let c(l) = -2*l + 10. Calculate j*c(h) + r*t(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j + 107. Let b(i) = -3*i + 4. What is 7*b(m) + s(m)?\nAnswer: -5*m + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (8\/(-2) - 1). Let g = -41 - -41.23. Let j = -0.17 - g. What is the biggest value in j, b, -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000211 (base 3) in base 2?\nAnswer: -1000100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 737406 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 54*q**3 - 68*q**2. Let d(n) = -n**2. Let x(r) = -36*d(r) + 4*i(r). Find the third derivative of x(l) wrt l.\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 33 + (-30 - ((-4 - -3) + 0))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369819819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + 5.9. Let h = v + -6.7. Let p = -66.1 - -66. What is the closest to p in -4, h, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.962 + 9. Let u = 4.962 + n. Let p = 60.2 - 59. Put p, 3, u in decreasing order.\nAnswer: u, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 minus 33?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*s**2 - 2*s**2 + 46*s**2 + (1 - 2*s - 1)*(0*s - s - s) + (0 - 3 + 5)*(2*s**2 + 2*s**2 - 3*s**2) + 0*s**2 - s**2 - s**2.\nAnswer: 67*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let d(h) = 4*h - 4*h + v*h. Let x(i) = -i + 4*i - i. What is x(d(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -76, -110?\n\"Answer: -34*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1045696*a - 1045694*a + 6891 + 11828)*(3 - 3 - 2).\nAnswer: -4*a - 37438","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + -0.732.\nAnswer: -0.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*g + 24 = 283*g - 5*f, -4*g = -3*f - 21. Factor 0 - 1\/3*w**4 + 0*w + 0*w**2 + 1\/3*w**g.\nAnswer: -w**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382*l**2 + 294*l - 532*l - 306*l - 883*l**2 wrt l?\nAnswer: -2530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15c2ee (base 15) to base 4\nAnswer: -10001033222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*g + 4*v, -3*g - 5*v + 1 + 34 = 0. What is the remainder when 237 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, u: 1}. What is prob of picking 1 c and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k + 0 - 13*k + 1 - 9*k. Let s(x) = x + 1. Give -f(w) - s(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfa. What is prob of sequence fa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - 16*s - 18. Let o be p(-3). Let h = 73 + -78. What is the third biggest value in o, h, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*58.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 16. Let p be (-2 - 2)*(-204)\/l. Let h = -11 + p. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(100)*-3 - sqrt(4)))**2.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*u - 121 = 0, 0*s = -2*s + 2*u + 106. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 + 187. Solve 2*t + u = -3*y - 4, 2*y + t = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4698 and 12078.\nAnswer: 3152358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -346.53946 rounded to 1 dp?\nAnswer: -346.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 8*g - 544 = 0. Suppose 3*f - 33 = -s, -5*s + s + 4*f + g = 0. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**11\/r)\/(r\/r**(2\/35)))**45*(r\/(r*r**4*r*r)*(((r\/r**(2\/3))\/r)\/r)\/r)\/(r\/r**2)**(-1\/2) assuming r is positive.\nAnswer: r**(16733\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 26. Determine v(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4) + (-4 - -2). Which is the smallest value? (a) u (b) -0.1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjqwqwwjqqqqqqw. Give prob of picking 1 w and 2 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165665.\nAnswer: 3, 5, 77711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 1. Let l be z(-1). Suppose l = -u - 10 + 29. Suppose -u = -4*i + 21. Calculate the smallest common multiple of i and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4055 + -4054.5. What is the closest to -3 in 0, 270, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299.895ml in litres?\nAnswer: 1.299895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + -1)**2) + -4 + sqrt(125) + sqrt(125).\nAnswer: -130 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826 - 2454 + 812 - 23*a**2 - 61*a**2 + 816.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -45, -44, -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*l - 2 = 0, 4*c + 11 + 3 = 2*l. Let m be (0 + c\/(-9))*6. Solve 2*f + 6 = -5*r, -4*f - m*r = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7740743 is divided by 1031.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 508 = -3*b - 5*l, -l = -b + 153. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227072 - -227081. Let g be (10\/6 - 1)*216. Calculate the highest common factor of j and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -27, -4, -13, -257 in increasing order.\nAnswer: -257, -27, -13, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4131329 is divided by 5071.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -257*z**8\/168 - 99*z**5\/2 - 102*z**2 + 19*z. Find the third derivative of w(v) wrt v.\nAnswer: -30840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5690 is divided by 2776?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/8 - 13*o**3\/6 - 13*o**2. Let i be k(-5). Let y be 12\/7 + (-10)\/(-35). Solve -s + 3 = y*a + i, 2*s + 2*a - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 113, 352, 591, 830, 1069, 1308?\n\"Answer: 239*s - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*d + 2*d + 34, -7 = d + 4*b. Solve y + 2*m = d*m + 10, 16 = y - 5*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2274325.\nAnswer: 2274328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9224 is divided by 77.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50898 and 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-44)*24\/((-432)\/198)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263.5 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 2. Let o be m(-10). Suppose o = 5*i - 3*i. Calculate the lowest common multiple of 10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-4\/5)*v)\/v)\/v**(-1\/4))**(1\/13)\/(v*v**(-2\/7)*v*v*v*v*v**(-6)\/v*v*v\/(v**(1\/9)*v*v*v*v)*v*v\/(v*(v**(1\/10)*v)\/v)) assuming v is positive.\nAnswer: v**(11569\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**4 + 52522*a**3*h - 11*a + 86*h - 25 wrt a.\nAnswer: 396*a**2 + 315132*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + 0 + 7 - -1 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 247, 568, 1011, 1570?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89529325?\nAnswer: 5, 373, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**3 + 26*z. Let f be c(3). Suppose 4*j = 12, -g + j + 73 = -f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13398 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13244\/5 + -13282\/5. Let w = -1\/434 - -25177\/2170. What is the common denominator of a and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdajqmv. What is prob of picking 1 d and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0812681497 to 5 decimal places.\nAnswer: 0.08127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*q - 9*q. Suppose 0 = 3*g - 0*g - 3*j - 18, 3*j + 28 = 5*g. Calculate the highest common factor of q and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6943*g**6 + 63*g**2 + 42 wrt g.\nAnswer: 833160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 35*s - 9. Let p(g) be the second derivative of -3*g**3 + 5*g**2\/2 + 248*g + 4. What is -6*a(c) - 11*p(c)?\nAnswer: -12*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.148899kg to tonnes.\nAnswer: 0.008148899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34311 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99)\/(sqrt(144) + sqrt(9)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58847 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 918 - 884. Suppose -4*k + 4354 = 5*h, -35*h = -k - y*h + 1093. List the prime factors of k.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:30 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z**5\/4 - 588*z**4 - 3081*z**3\/4 + 5091*z**2\/2 + 2730*z = 0. Calculate z.\nAnswer: -260, -7\/3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**7\/630 + c**6\/360 + c**5\/90 + 12*c**2. Factor a(i).\nAnswer: -i**2*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 82706.\nAnswer: 33082.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8613 = 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwqsos. Give prob of picking 1 s and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*k**2 + 73*k - 73*k)*(2*k**2 + 0*k**2 - 6*k**2)*(-1 - 4 + 0).\nAnswer: 480*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 107*q + 122*q + 38 - 223*q. Let h be f(-6). Solve 3*u = -2*n - 2*n - 2, 4*u - 4 = -h*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.5693 - -2.4307. Which is the closest to -1\/40? (a) -0.1 (b) -4 (c) u (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 4*w + 38. Let f be q(-7). Let d(j) = -3*j + 77. Let c be d(f). Calculate the greatest common divisor of 338 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4 + 10)*(164*u - 5*u**4 - 164*u + (2*u**3 + 2*u**3 - 5*u**3)*(u + 0 + 0) - u**2 + u**2 - 2*u**4).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(68) + sqrt(17).\nAnswer: 5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/30 - i**4\/6 - 4*i**3\/3 - 5*i**2. Let h be u(-5). Suppose 8 + h = o. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -1241, -1902?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123436 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8238c82?\nAnswer: -8238c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*v = 10, 5*j + 0*v = -3*v - 15. Suppose 4*o = 80 - j. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 <= 370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 27*c + 165. Let q be r(-32). Let n(i) be the third derivative of 0*i**4 + 1\/60*i**6 - 1\/30*i**q + 0*i + 0 + i**2 + 0*i**3. Solve n(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21866527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2739*0.094\nAnswer: 257.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 482.\nAnswer: 13\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 715465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 0, 3\/449, -0.3, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13048886 * 0.18\nAnswer: 2348799.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 - u**2 + 6*u**2)*(u + 0*u + 0*u) - 4*u**3 + 4*u**3 + 2*u**3 + 4*u**3 - 2 - 5*u**3 - 1 as w*u**2 + x*u + y*u**3 + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*b + 21. What is the highest common divisor of b and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*y - 108 = 0. Suppose y - 2 = 2*c. Solve 0 = -5*x - 2*m - 6 + 22, c*x - 3*m - 26 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-51 + 27) - (0 + -1 + -2 - 30).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 11*h - 29. What is m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -2.3. Let r = 2.54 - -0.46. Let x = r + n. What is the third smallest value in -0.5, x, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -18*b + 18*b - 54*b**2 + 58*b**2. Let z(k) = -24*k - 1. Calculate z(f(x)).\nAnswer: -96*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10155373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*p - 2*i + 25, 5*p + 5*i - 40 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1901*u + 2. Let j be x(-2). What is j rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19*294\/(-13965))\/(4*(-53)\/(-10)).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7dfa7 (base 16) in base 12?\nAnswer: 20a747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(13\/((-663)\/(-6))). Suppose 19*v - 4 = n*v. What is the second biggest value in -4\/13, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 81.9774 kilometers?\nAnswer: 81977400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-5053817.\nAnswer: 60645804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 4*d**7\/21 - 7*d**3\/3 - 17*d. What is the second derivative of s(p) wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -15*l + 745. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgmb when four letters picked without replacement from {g: 11, b: 4, m: 3}.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(3*o**2 - o**2 - o**2 + (-10*o**2 + 74 - 74)*(4 - 4 + 5)) to the form l + p*o + b*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i + 2*i + 0*i + (0 + 3 + 2)*(4*i - i - i) + 18*i + 36*i + 23*i.\nAnswer: 91*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.115 - 0.115. What is the nearest to u in -5\/2, -1\/2, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-4))\/(21\/28). What is the highest common factor of 66 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k + 35. Let f(r) = 7*r + 7. Let l be f(5). Let y = k + l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -2.2. Let g = 1.6 - f. What is the second biggest value in g, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -5) + (-12 - (4 + (-11 - -9))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10205 + 147*x - 10205)*(5*x**2 + 3*x**2 - 5*x**2).\nAnswer: 441*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 260325.9 months?\nAnswer: 21.693825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3 - 38. What is the second smallest value in 2\/11, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = x + 2, 4*x - 2*x = -h - 2. Let p(d) = -3*d**2 - 2*d + 2. Let l(y) = 10*y**2 + 7*y - 6. Let f(w) = 2*l(w) + 7*p(w). Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 68 - 56 - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*z - 5 = 0, 2*x + 1214 - 667 = -4*z + 549 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3014 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -56.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8130, 16258, 24386?\n\"Answer: 8128*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q - 20*q + 13*q + 252 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(2) - -6*sqrt(2)))\/sqrt(2) + 3*sqrt(600)\/sqrt(12))**2*4 + -1.\nAnswer: 89839\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4853 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*m - 0*m. Let p(h) = 2*h + 21. What are the prime factors of p(m)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeo when four letters picked without replacement from {e: 3, o: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byn when three letters picked without replacement from {b: 1, n: 1, y: 4, h: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35\/186 - 9\/62. Let s = 15.3 + -15. What is the closest to s in 0.01, a, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61022*j**3 + 61647*j**2?\nAnswer: 366132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37078778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-15))\/(18\/(-27)). Let z = 2 - 1. What is the nearest to 0.4 in z, -2\/19, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*b - 18 = 7, 4*d - 20 = -4*b. Suppose -k + 5 = j - d, 5*j + 4*k - 22 = 0. What is the smallest common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6) + 2\/(-3) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j - 49. Give u(10).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -141. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**49\/(s\/(s*s*s*s**(-3\/10))*s**(5\/3)) assuming s is positive.\nAnswer: s**(2941\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114 + 0?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (51 - (8 - 6 - (-16 - -26)))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 59*o + 25. What is the units digit of m(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4419147212 to the nearest integer?\nAnswer: 66477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34185150 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222020120212 + -100?\nAnswer: -222020121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1351*-0.6\nAnswer: 0.08106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-1\/4)))*t**(-4\/5)*t)\/((t\/(t\/(t*t*t**(-1\/4))))\/t)**(28\/5))**(-5\/9) assuming t is positive.\nAnswer: t**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 55. Let g(p) = -p**2 - 11*p. Determine g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 818, 1285, 1752, 2219, 2686, 3153?\n\"Answer: 467*m + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180022383 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.4 (c) -9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729533923 to the power of 1\/2, to the nearest integer?\nAnswer: 61070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/29904 and 71\/693.\nAnswer: 986832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**3 + 8*f + 15*f - 23*f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -185072, -370126, -555176, -740222, -925264, -1110302?\n\"Answer: 2*v**2 - 185060*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236565 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*k + 346 + 69*k - 17*k + 18*k wrt k.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40982318?\nAnswer: 2, 13, 1576243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*l**2*u**2 + l**2*u - l**2 - u wrt u.\nAnswer: -318*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vukulul. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/5 - 22*z**3\/5 - 8*z**2\/5 + 88*z\/5.\nAnswer: 2*z*(z - 11)*(z - 2)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2872*b = 2869*b + 8, -b + 12 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 3*z - 12, -5*d + 3*z = 0. Suppose -d*w = -b - 10, -5*w - b + 45 = 15. Is 2\/(-4)*(w + -23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2)\/((-12)\/102). Suppose w = -4*b + d + 25, w - 2*b - 48 = 0. Calculate the greatest common divisor of 92 and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99286344*s + 109578648 wrt s?\nAnswer: -99286344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14887402*l**2 - 13839216 wrt l?\nAnswer: -29774804*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-29)*c)\/c)\/(c**14*c)*(c**(1\/12))**(-1\/6))**(-7) assuming c is positive.\nAnswer: c**(22183\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:46 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 40016190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 3 + 3 + 11 - 11 + 6*n + (-3 - 2 + 3)*(0*n + 4*n - 2*n) + 5*n + n - 4*n + 25 + 101 + 3*n - 21.\nAnswer: 8*n + 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110337781 and 1448?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 7222*s + 50660. Give z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4817*j - 4823*j - 90 = 4*y, -9*y - 147 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26953 + 26956. Solve 1129*b + k = 1128*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:20 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + u - 29, -3*i - 2*u - 13 = 7. Let w be 7 + (-4)\/((-8)\/i). What is the common denominator of -14\/13 and w + 2*13\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 33 + 27 = 0. Suppose 4*h = -5*s - 7 - 10, -2*s = -h + c. Solve 0 = 3*v - 4*o + h - 20, 2*o + 4 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:19 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.76 - -1.24. Let f = r - -5. Which is the nearest to -2\/7? (a) f (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + (-133)\/(-49). Let n = -5 + 2. Put l, -5, n in descending order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s**3. Let l(g) = 18*g**3 + 13*g - 138. Determine -l(a) + 2*p(a).\nAnswer: 2*a**3 - 13*a + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29588232 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w + 2. Suppose 5*u + 4*d + 2 = 0, 23 = 5*u - 5*d - 2. Let i(s) = s + 1. Let o(h) = u*i(h) - c(h). Let y(v) = -3*v. What is o(y(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7930093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x. Suppose -2*z - 2*u = -244, -u = -5*z + 117 + 493. Let m(s) = -z + 122 + 6*s. What is g(m(r))?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524365 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39124 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10815181 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + -508128?\nAnswer: -508112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + 14 + 0 + 0. Suppose 3*u - 1637085 = j*h, 20*u + 5*h = 25*u - 2728485. What is u rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -717*q**3 + 1994*q**2 + 377*q + 18. Let v(b) = 2872*b**3 - 7977*b**2 - 1511*b - 74. Let x(p) = 26*f(p) + 6*v(p). Determine w, given that x(w) = 0.\nAnswer: -2\/15, -2\/47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 + 2 = 5*v, 0 = 5*d - 3*v + 105. Let m = d + 13. Let p be (m + -21)\/((-2)\/(-1)). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -68*h - 684. Calculate u(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 0*s - s + 2*s**2 - 45*s**3 + 0*s.\nAnswer: -45*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -30 + (27 - -41) + -58.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + 149. Suppose 0 = 3*s + x - 21, 5*s - 46 = 2*x - 0*x. Suppose -4*v + s*v = w. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2422*c**2 - 2*c**3 - 4768*c**2 + 2421*c**2 - 3 + (-c**3 - c**3 + c**3)*(-1 - 4 + 3) + 3*c**3 - 5*c**3 + 3*c**3 + 19*c**2 + 8*c**3 - 19*c**2.\nAnswer: 9*c**3 + 75*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2296.499 + -2426.36. What is t rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, and 2 s when four letters picked without replacement from zzaazaszaazazssszsa.\nAnswer: 245\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26*b**3 - b**2 - b + 1. Let h(r) = 3*r - 17. Let y be h(6). What is the units digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -0.006\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143\/13)\/110 - ((-63733)\/(-1530) - 12\/(-27)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2. Let t(c) = c + 5. Let p(q) = -2*t(q) - 5*y(q). Let f(d) = -2*d + 4*d - 3*d. What is p(f(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 252?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7)*1 + 1*sqrt(175) - (sqrt(77)\/(sqrt(99) - sqrt(11)) + 3))**2.\nAnswer: -44*sqrt(7) + 911\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887440*u - 889044*u - 94636 = 0 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662855947 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/4 - 10*f. Let x(y) = -y**2. Give x(v(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93135636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 299 + 75. Let g be 44832\/q - 4\/14. Suppose 5*s = 5*w - g, -4*s = -0*s - 16. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2477284*f**2\/7 - 7431854*f\/7 - 6\/7.\nAnswer: -2*(f + 3)*(1238642*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x**2. Let p = 937 + -935. Let a(m) be the second derivative of -1\/3*m**3 + 0 - 13*m + 0*m**p. Determine a(o(b)).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-60) + 244\/(-10). Let c be 16\/l + (-2 - -4). Determine x, given that x - c + 1\/3*x**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - k + 74 = -0*y, 2*k - 36 = -2*y. What is the greatest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3685, -9107, -14529, -19951?\nAnswer: -25373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 341\/45 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3415?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-936)\/(-195) + (-1)\/(-5). Suppose 3*y - 2919 = q*f, f - 2686 = -5*y + 2179. What are the prime factors of y?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 251737 - -60?\nAnswer: 251807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 - 3*y**3 + (2*y**2 + 2*y**2 - 6*y**2)*(-43 + 43 + 3*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from qqqaqaqqaqqq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40227 and 506?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/4 + 62*x - 99. Let r(c) be the first derivative of a(c). Let f(d) = -2*d + 3. What is r(f(s))?\nAnswer: 12*s**2 - 36*s + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -33*i. Let o(h) = 8242 - 4117 + 58*h - 4125. What is o(b(w))?\nAnswer: -1914*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w - 3*w)*(-1 + 1 + 2)*(1 + 0 + 1 + (5 - 4 - 4)*(-1 - 3 + 2)) - 46*w + 49*w + 4 + 2.\nAnswer: -109*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 1 + (-112)\/(-16). Let t be 92\/(-22) - (h + -7). Let o = 7 + -7.3. Which is the closest to 0.1? (a) t (b) 4\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-3)\/(-1 - -4). Suppose -5*y + 13 = -7. Let q(o) = o - 5. Let f be q(y). Sort f, -5, w in decreasing order.\nAnswer: w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 62, 145, 262, 413, 598?\n\"Answer: 17*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11998 and 23394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66799 by 7.\nAnswer: -66799\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537294 (base 13) to base 15.\nAnswer: -28a226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2936*m = 2924*m + 149292. List the prime factors of m.\nAnswer: 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17459128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53289.\nAnswer: 3, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -917, 4?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 305694071 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 60.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8849467 months in years?\nAnswer: 0.240412225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43129.1 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/4 - 1918*x**4 - 69117*x**3\/4 - 23054*x**2 + 84479*x + 92172 = 0.\nAnswer: -6, -4, -1, 2, 7681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6392452 - -345.34858\nAnswer: 6392797.34858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 2. Suppose n + 5 = 2. What is s(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - d**4 - 7 + 5 - d**3 + d - d**2 to the form t*d**4 + w + l*d**3 + m*d**2 + j*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -2*n, 4*n = -n + 5*i + 15. Suppose -5*f - 45 = -0*f. Calculate the remainder when n is divided by (-29)\/(-9) + 2\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2568)\/96)\/(2\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560590651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b + 5. Let p be z(6). Let i = 419\/166 + -2\/83. Let t = -1 + -1. What is the second biggest value in i, p, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 23 = 107 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 = -2*h, 3*l - h = 10 + 4. Suppose -2*t = 5*n - 229, 0 = t + l*t + 4*n - 488. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 73.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 14178*c**4\/13 - 297734*c**3\/13 - 13270692*c**2\/13 - 91877184*c\/13 - 25920\/13 = 0?\nAnswer: -12, -2\/7089, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 35. Let w = -12 - q. Solve 6 = 2*o - 0, w*c - o = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + o - 53 = 5*o, 3*a = -4*o + 13. Find the second derivative of -a*y + 2*y**2 + 10*y + 13*y**2 wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b - 15. Suppose k - 10 = 6*k. Let g be i(k). What is the third derivative of -g*r**3 + 9*r**3 - 6*r**3 + 4*r**2 + 31*r**6 wrt r?\nAnswer: 3720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**7\/14 + 3*q**6\/10 - 21*q**5\/20 - 11*q**4\/4 + 3*q**3 + 12*q**2 - 171*q. Let t(c) = 0. What is c?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19021422559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bohorhhrhhhrhhhh. Give prob of picking 1 h, 1 r, 1 o, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 21) + (46 - (65 + -42))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (148\/(-10))\/((-7)\/35). Let x = -70 + n. Suppose -6 + 19 = -k + 5*q, x*k + 4 = 4*q. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -35*z**2\/2 - 58*z - 88. What is the remainder when u(-5) is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 609 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/144 and 59\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -68.15. Let y = 131.15 - r. Let z = 138 - y. Sort -5, z, -0.3, 0.2 in increasing order.\nAnswer: -5, -0.3, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 7, z: 1}. What is prob of sequence ttt?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-273)*9\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-10) + 3\/(-15). Let q be (h\/((-6)\/(-4)))\/(-2). Is q < -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82320176 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -1 - 1\/24*x**4 + 0*x**2 + 0*x**5 + 1\/3*x**3 + 0*x - 7\/360*x**6. Let u(d) be the third derivative of z(d). Calculate u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (0\/3 - 0). Let o be ((-594)\/(-33))\/(q\/(-2)*2). Suppose -o*i + 129 = -312. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 + 17056\/8736. Let l = -3.8 + -0.2. Let r = -2.1 + 2.5. Which is the closest to l? (a) k (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzoiozoooz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1796039007 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5621827.1?\nAnswer: -5621827.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/61030 and -49\/32540?\nAnswer: 198591620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 3605 and 3600 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - (-16)\/4 - -6. Calculate the highest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h - 29. Let x = 56 + h. What is the greatest common divisor of x and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**3 - 3*y**3 + 0*y**3 + (-2*y + 6*y - 3*y)*(2*y**2 - y**2 - 2*y**2) in the form u*y**3 + q + f*y**2 + n*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - ((-9)\/2 + (-6)\/12). Is (8\/(-6))\/(k\/(-420)) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 16\/5 (c) -0.5 (d) 5 (e) -1.2 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130292753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 - -110?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -1, 2, -2, -5, 1 in decreasing order.\nAnswer: 154, 2, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 10. Let y be -3 + (-2)\/2 + 2304\/48. Calculate the highest common factor of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 3274*s - 32540.\nAnswer: -2*(s - 1627)*(s - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -548567?\nAnswer: -548570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271 - -1631\/6. Suppose 0 = -5*y + 20 - 15. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2 (b) -5 (c) -85 (d) 1\/5 (e) 0.5 (f) 1\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/176710 and -193\/3690.\nAnswer: 1590390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 87, 2\/85, 46, 3\/8 in decreasing order.\nAnswer: 87, 46, 3\/8, 2\/85, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6267?\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 + 23*w + 11. Let b(x) = -6*x**2 - 22*x - 15. Let o(t) = 6*b(t) + 5*r(t). Calculate o(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 41 = 5*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -3. Let m be (-1 - -4)*(-6 - q). Solve -y - 3*k = -1 + 8, 3*y + m*k - 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/11 - 9462*p**4\/11 - 16652574*p**3\/11 - 1176168006*p**2 - 3747730599000*p\/11 = 0. What is p?\nAnswer: -1500, -1077, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 11*r**5\/60 - 5*r**4\/24 - 4*r**2. What is the second derivative of y(u) wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 219, 449, 679, 909, 1139, 1369?\n\"Answer: 230*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52348700 * -0.14\nAnswer: 7328818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4\/((p\/p**(-6))\/p)*(p**1)**(7\/10) assuming p is positive.\nAnswer: p**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37860 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 8068, 6, -7, 5 in ascending order.\nAnswer: -7, -5, -2, 5, 6, 8068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 510 = 4*n - 548, 8*o = 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - k + 8 = 0, -3*k = 2*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)\/l)\/l)\/l*l*l)**32*l**4*l*l*l**2 assuming l is positive.\nAnswer: l**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4305336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 109297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -681323 (base 13) in base 5?\nAnswer: -1112141404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbz when three letters picked without replacement from cdbbbdbbdbbjydbbz?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7069*a**2 + 70*a + 141. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615 divided by 5?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 6*w + 290. What is the remainder when w is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqqh when four letters picked without replacement from {h: 1, q: 4, y: 2, t: 4, z: 4, o: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 16. Solve 0*o + 15 = -m - w*o, -o = -3*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -5, 3, 468, -2, 4 in descending order.\nAnswer: 468, 88, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30300 and 4692?\nAnswer: 11847300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**2 + 0*t**4 + 0 - 1\/300*t**5 + 1\/30*t**3 + 0*t. Determine x so that c(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-15) - 1\/(-3). Is -2\/3 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j**2)*(513 - 242 - 225).\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 18*n + 4*u = 136, 5*n = 5*u + 210. What is the remainder when 796 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10217619 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6266856 and -32\/647121?\nAnswer: 119070264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:25 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-8)\/78)\/(249074\/231283)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20020 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 21 = -3*w + 37, -39 = -2*w + 3*i. Put 4, 8, w in descending order.\nAnswer: w, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -2*b**7\/105 - 2*b**6\/15 - b**5\/3 - b**4\/3 + 7*b**2. Determine u, given that o(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f = 96 - 7 - 544 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/304 and 75\/1723984.\nAnswer: 1723984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 8.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-12)\/(48*-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/(5\/10). Suppose -3*x = -5*o + 2*o + 84, -w*o + 96 = x. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22733639.\nAnswer: 41, 647, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.009326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133124 (base 6) in base 14?\nAnswer: 4712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 144*n**2 - 137*n + 873. Give u(-143).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -2\/121 (c) -0.2 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1703.44 + 1691. Round t to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1610.28075 rounded to 1 decimal place?\nAnswer: -1610.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24920767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*z + 5*z**3 + 163*z.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6 (b) -4 (c) 0 (d) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 132\/7, -91, -15, -0.2?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295130.2t in kilograms?\nAnswer: 295130200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 261\/((-9)\/(-3))*-1. Let p = 347\/4 + g. Suppose -2*b = -4*d - 22, 6 = 3*b - 3. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + 0 - 3. Let q(x) be the first derivative of x**2 + 26. Give q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 388, 3, -3, 1\/6, -1, 0.5 in ascending order.\nAnswer: -19, -3, -1, 1\/6, 0.5, 3, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, -0.242, 43, 3, 5, 0.9?\nAnswer: -0.242","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:31 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {m: 4, n: 3, a: 3, e: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 462898757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(((sqrt(187) + sqrt(187)*-3 - sqrt(187))*-1)\/((sqrt(165)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*q - 263*q - 2*q**4 - 1 + q**3 + 0*q**4 to j*q**3 + s*q + i + v*q**2 + r*q**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/48360743?\nAnswer: -1\/48360743","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 1. Let u = 2 - 3. Let m be b(u). Solve -l + m*s - 18 = 0, 0 = -3*l - 0*l + 5*s - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/60 - z**4\/12 + z**3\/6 + z**2 + 2*z. Let r(h) be the first derivative of i(h). Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 39*r - 2261. Give n(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3120?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**7\/14 + 7*v**6\/10 - 33*v**5\/20 + v**4\/4 + 4*v**3 - 328*v**2. Let j(m) = 0. What is m?\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 8*i**3 - 17 + i + 45 - 13 as t*i + p*i**3 + x*i**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1460, -2562, -4172, -6290, -8916, -12050?\n\"Answer: -254*c**2 - 340*c - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u**2 - 4*u - 1. Let h = -2 + 4. Let n(z) = -37*z**2 - 13*z - 4. Let v(r) = h*n(r) - 7*p(r). Is v(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5611472195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqwiwc. Give prob of sequence ecww.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 1, 4 in decreasing order.\nAnswer: 4, 1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19739196.8 rounded to the nearest 10000?\nAnswer: 19740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142769345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 7*f + 38. What is the remainder when 111 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29697280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -40*y**7\/7 - 149*y**3\/6 + 5*y - 37. Find the second derivative of l(s) wrt s.\nAnswer: -4800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25487394.1 and -4.\nAnswer: -25487398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-36)\/4 - -4)*(-184)\/5 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*b**2 - 16\/9 + 2*b.\nAnswer: -2*(b - 8)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:26 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23.95 (b) -5\/6 (c) -3\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = a - 5*t - 7, 0 = 3*a + 3*t - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-132)\/8*40\/(-6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*((-162)\/30 - -3). Let f = 17 - 23. Let d be 1\/(-1) - b\/f. Solve 4 = -o - q, q = -d + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4409 + -739. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 2. Let k(y) = 2*y**2 + 12201*y. Give k(i(b)).\nAnswer: 8*b**2 + 24418*b + 24410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226767?\nAnswer: 3, 269, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2600 and 600?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 2*z**2 + z - 1. Let x be 105\/70*(-2)\/(-3). Let a be o(x). Suppose 0 = -a*j + 25, g + 3*j = 78 + 62. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395614253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 497.9999789 - 498. What is h rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 5, -79, 3\/2, -3\/5, -6\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.023 - 4.023. Let n = 0.01 - -0.39. What is the nearest to 0 in 0.3, n, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 23. Suppose -4*v = -3*f - 20, 4*v - 5*v = 3*f + c. Suppose 5*g = -5, -5*g + v = u - g. Solve -3*q + 6*q = a, 0 = 3*q + a + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((70\/(-25))\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2145.6583?\nAnswer: 429.13166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let n = 44 - 359\/8. Is q at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/13 in -4\/53, -11.2, 3?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6686 (base 9) to base 16\nAnswer: 134a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2094 = 108*l + 136*l + 2786 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 242908 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: Suppose 0 = 2*i - 4*m - 1744, -i - 5*m + 169 = -675. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -9. Let h = -5 - y. Let r be 3\/(-1) + 21\/9. Which is the nearest to 3? (a) 5 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 300858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {g: 6, p: 5, x: 4, f: 4}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3164148488?\nAnswer: 2, 12893, 30677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 + i**3 + 2*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/9 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 6:58 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2500\/625)\/(3\/2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 3*p - 3*p - 3*p**2 + p**2 + p**2 + (-6*p + 3*p + p)*(1 - 1 - p) + p**2 + 5*p**2 - 5*p**2 + 3*p**2 - 3*p**2 - p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 14*m = 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (0 - 1 - 4)) + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 4, l: 3}. What is prob of sequence uxll?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1330 and 37\/15.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/z)\/((z\/(z*z**(2\/19)))\/z*z)*z**(1\/9)*z*z**(1\/16) assuming z is positive.\nAnswer: z**(79\/2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y = 77*y - 18 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-2)\/60)\/(699\/2330))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 124*x**2 - 5*x + 1. Let z be y(-4). Suppose -2*j = 5*d - z - 5405, -3*d - j = -4445. Suppose 2*r + d = 6*r. What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 = 40*o + 38 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 8. Let c(x) = -x**2 + 5*x - 2. Let r be c(5). Let a be 2 - (r - (-4)\/(-2)). Give n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 - 5*z**4\/24 - z**3\/2 - z**2. Let n be y(-7). Let k(x) = -4*x + 5. Let u(p) = -11*p + 14. What is n*k(l) + 6*u(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -215*d - 201*d + 439*d - d**2 - 72. Let b be t(19). Solve o + 14 = 5*x, 0 = -7*x + b*x - 4*o - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/(-5) - (252\/60 + -4). Does 42 divide (3 + 99\/g)*(-18 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61253 - 35082. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*b**3 - 364*b**2 + 176*b**2 + 186*b**2.\nAnswer: 43*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 - 2*t - 3. Let i(f) = f**3 + 11*f + 3 - 6 + 2 - 12*f. Let y(c) = -c**3 + 12*c**2 - 12*c + 13. Let h be y(11). Give h*i(a) - m(a).\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**4 + 3*m**4 + 0*m**4 + (23*m**3 + 2828*m**3 + 136*m**3)*(0*m - 3*m + 2*m) to the form i + v*m + l*m**2 + f*m**3 + u*m**4 and give u.\nAnswer: -2989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 + 168*d**2 + 234*d + 397. What is s(35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -219 + 223 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4 = 5*z - 4*z, -2384 = -3*h - 18*z - 2741 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 23. Let s be o(-12). Let w(v) = v**2 - 2*v - 7. Let m be w(s). What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, w: 5}. Give prob of picking 2 c.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097809.71 rounded to the nearest one thousand?\nAnswer: -1098000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*b**3 + 15876*b**2 + 27461*b - 8670.\nAnswer: -(b - 1445)*(b + 2)*(11*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18950, -18940, -18928, -18914?\nAnswer: -18898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m + 10. Let h be (-58)\/(-3)*m*18\/60. Suppose f - h = -16. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66933 and 84.\nAnswer: 1874124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/5 - -5 - 2. Suppose 5*f - 20 = -c. Suppose -2*o = -4*o - f*d + 216, 0 = o - 3*d - 123. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 3, t: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h + 6. Let b be o(3). Let t be (2 - 3) + (6 - 0). Suppose 45 = 5*p - t*q, -q + b = 2*p + 3. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29620580 and -0.0446?\nAnswer: 29620580.0446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 + 172. What is the third smallest value in 29, 2, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37113 - 7459636\/201. What is the common denominator of i and -76\/297?\nAnswer: 19899","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26955 by 15.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*u - 6*u + u as j + a*u and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3123.5 + 3124. Let k = 1 - 0.8. Which is the biggest value? (a) k (b) h (c) 6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 = -26965*a + 27062*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 80088549.55 and -5.\nAnswer: 80088544.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 9) in base 12?\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124691 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(272) + -5 + (sqrt(85) - -3*sqrt(85) - sqrt(85))\/sqrt(5))**2.\nAnswer: -1716 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 9. Let x be 20\/(s + 1 - 3). Suppose -2*i - 2 = 3*n, 5*i = i + x. Which is the nearest to 0.1? (a) 2\/5 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1430*l**2 - 25 - l + l - 1401*l**2 as x*l + s + w*l**2 and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {w: 4, g: 1, s: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -27*v**2 + 2*v. Let d(p) = -p - 6. Let o(n) = -4*n - 48. Let r(g) = -8*d(g) + o(g). Give l(r(c)).\nAnswer: -432*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(3 + sqrt(720)) + 1 - sqrt(720)*1*-4*3))**2.\nAnswer: -4800*sqrt(5) + 288100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from ddddddddhdttdtdttth.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14088 is divided by 641?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 524, 525, 526?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -81.3. Let f = -0.3 + x. Let i = 72.5 + -72.2. Which is the nearest to f? (a) i (b) -0.1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3628, 6406, 9184, 11962, 14740, 17518?\nAnswer: 20296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1658 + 23811. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80601 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215878 and 26?\nAnswer: 215878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 2*q - 3*l - 70, 2*q + 4*l - 54 = 0. Suppose 8 = 5*b - q. Suppose -7 = -x + b. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -640*v + 2. Let i(f) = f. What is i(d(s))?\nAnswer: -640*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010 + -10101110?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.106 + -69.106. Let a = o - -68.9. Let b = -1\/70 - 33\/140. What is the closest to a in b, 2, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 9*z - 5*z**2 + 12*z**2 in the form k*z + g*z**2 + p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -16. Suppose -z + 2*z + 5*q - u = 0, 5*q - 8 = -3*z. What is the remainder when 19 is divided by 0 + -1 - z*-8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19 - 2*n - 13 + 35. Let p(r) = -15 + 25*r**2 - r**2 + r**3 - r - 13*r**2. Let c be p(-11). Determine i(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = 1. List the prime factors of (-608)\/(-8) + c\/1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - w**4 + 2*w**4)*(2 - 2 - w) + (-655*w**2 - 238*w**2 + 314*w**2)*(-w**3 + 3*w**3 + 0*w**3).\nAnswer: -1159*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1 - -15)\/8 - 2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000100684032 to six decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-5 - ((4 - -5) + 2 - (0 + 8))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3 - 813*q**2 + 9792*q + 69660 = 0.\nAnswer: -5, 18, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*m + 3*x + 3, -3*x = 5*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5218008115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - (sqrt(40) - (sqrt(200)\/(sqrt(5) + sqrt(5)*-2) + sqrt(40))) - 2*3*sqrt(40))\/((sqrt(16) + sqrt(192)\/sqrt(192))\/sqrt(2)*-3).\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 27. Let i = -6 - o. Calculate the common denominator of ((-23)\/12)\/(i + -4) and 59\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*g + 52, -9*g - q = -10*g - 6. Put 32, -1, 5, g in decreasing order.\nAnswer: 32, 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 2*sqrt(1053) + -3 - (-1 + sqrt(1053))*-6 - (((-2 + sqrt(1053))*-5 + sqrt(1053))*5 + -2))**2.\nAnswer: -29754*sqrt(13) + 888822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 5)*(-2)\/(-4). Suppose -6 = -4*c + n, b = -4*c + 8*n - 3*n - 2. Let k be 1*c\/4*0. Is 1\/11 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/24*(-69 + 0). Let g = 68 + p. Calculate the highest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t = 36*t - 120 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 c when four letters picked without replacement from cccggcccgccccccccccc?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 144*s**3 + 592*s**2 + 12672*s + 30976.\nAnswer: 4*(s - 22)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 1. Let q be (-1)\/((-3)\/3 - 0). Let z be g(q). Let n(a) = -a - 1. Let u be n(-3). Solve -z*i + 4*r - 1 = -5, -2 = u*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 2, n: 1}. What is prob of sequence dnw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from gnewrrewgrggrrrggg.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**5*n**3 - g**5 - 2*g**3*n - 4*g**2 - 12*g*n**3 wrt g.\nAnswer: -60*g**2*n**3 - 60*g**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -327 - 388 - 7*w + w + 496 in the form p + n*w and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 - 8.1. Let n = -4 - q. Let o = 1160 - 1160.04. Which is the nearest to -1? (a) n (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 1. Let a(h) = -4*h - 11. Let g be a(-5). Let y = -9 + g. What is the closest to s in -3\/4, y, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e67 (base 15) to base 16.\nAnswer: caf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l**5 - 21*l**5 + 25*l**5)*(2 - 1 + 4)*(0 + 4 - 2).\nAnswer: -220*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 2*b = 26*h - 90800, 0 = -2*h + 4*b + 36320. List the prime factors of h.\nAnswer: 2, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7))\/(a\/(a*a*a**(-4)))*a\/a**0*a**(-3) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 4. Let n be (-13)\/(-2)*(6 + -10). Let t = 22 + n. Let i(s) = -3*s - 5. Give t*i(r) - 5*u(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-15)\/3 + (2 - -89). Let v be (-14)\/2 + (-376)\/(-4)*1. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 324 and 1191156?\nAnswer: 32161212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 5 + 3)*(-f + f - f) - f + 2 - 2)*(3*f**2 - 3*f**2 + f**3).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91113 and 6171.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865 = -103*g + 5001 + 6855 - 1082 for g.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 - 8 = 0. Let q(v) = -v + 2. Let i be q(-2). Suppose i*n = -3*k - 1, -w = 2*n - 5*k - 3. Which is the closest to n? (a) 1\/3 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**5 - 6*o**4 + 2*o - 6. Let x(i) = 4*i**5 - 5*i**4 + 2*i - 5. Let y(c) = 5*m(c) - 6*x(c). What is the second derivative of y(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -564494241067 and 5.\nAnswer: -564494241062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*h + 24*h + 6. Let w be -2 + 3\/(h\/(-4)). Suppose -4*q - 3*z - 1 = w, 3 = 2*q + z + 2. Let m(y) = -2*y. Calculate m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 62. Suppose c = -14*t + t + 143. Calculate the highest common divisor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 - 6*b. Suppose -10 = -5*w, -8*f + 3*f + 2*w = -26. Suppose 33*c = 32*c - f. Let d(q) = -12*q**3 - 13*q. Calculate c*d(t) + 13*h(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1225 = 4*k, 4*b + 2*k + 826 = 6*b. Suppose -3*w = 2*t - 33, 0 = -2*w + t - 2*t + 22. Suppose b = -w*f + 2842. What are the prime factors of f?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-5))\/((-16)\/(-40)). Let i = -0.2 + 2.2. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.02107 (c) -1\/3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9338887ml?\nAnswer: 0.0009338887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/15 - (-45)\/25. Solve -2*p - 3*b + 2 = 4, 0 = p - a*b + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -668 - -1112. What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(153))*2*2)**2 - (sqrt(6171)\/sqrt(3) + sqrt(833)*-5)**2.\nAnswer: -7200 - 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12155436.\nAnswer: 1\/6077718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 15*v - 16 = 0. Let y be (2 + -5)\/(-4 - 94\/(-22)). Sort v, 5, y in increasing order.\nAnswer: y, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/15 + 1184*w**2\/15 - 41286*w\/5 + 269892\/5 = 0 for w.\nAnswer: 7, 126, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/10*1*(-427 - -7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69134977*t**2 - 9*t - 1604556.\nAnswer: -138269954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0 = -8. Let t be 2\/(-3) + (-2)\/(-3). Solve t*w = -f*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157, 328, 499?\n\"Answer: 171*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -1751, -6340, -15387, -30404, -52903, -84396, -126395?\nAnswer: -180412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**6\/6 + 2*g**5\/5 + 3*g**4\/2 - 4*g**3\/3 - 13*g**2\/2 - 6*g - 225. Factor f(t).\nAnswer: -(t - 3)*(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/5 + 5400373*k**4\/5 + 32402262*k**3\/5 + 12960908*k**2 + 43203032*k\/5 = 0 for k.\nAnswer: -2, 0, 5400379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 + 32*p - 17. Let k be v(-11). Let w be (-39)\/(-52)*-8 - (k - -1). Let q = -1\/934 + -11183\/23350. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5786910 and 150390.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 1. Let f(m) = m - 4. Let u be f(j). Suppose 2*l - 5 = u*c + 2, -21 = -c - 4*l. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-335)\/(-175) + 1\/1*(39 + -35)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -11*h**7\/7 - 5*h**3\/3 - 5. What is the third derivative of d(m) wrt m?\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - i**2 - 3*i. Suppose -5*l + 10 + 5 = 0. Let u(d) = -d - d + l*d. Determine y(u(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2112, -2420, -2726, -3030?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 11) to base 7\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f**2 + 11*f**2 - 17*f**2)*(-2 + 2 + 2*f**2 + (f**2 - 5*f**2 + 3*f**2)*(8 + 4 - 6)).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.76 + -0.24. Let t = z - -11.3. Let r = 82\/3 + -27. What is the closest to r in -4\/5, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652377347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 2454 = 5*r. Let y = r + 580. Let j = y - 10. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkn when three letters picked without replacement from {q: 4, n: 6, k: 2, e: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25526, -51064, -76602, -102140, -127678?\n\"Answer: -25538*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 50*z - 9*r - 144, -3*z - z = -3*r - 36 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 2*a**4 + 2*a**4)*(1 + 4 - 9).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Suppose -3*a + 4 = s, -2*s + 6*s - 25 = -3*a. Calculate the least common multiple of s and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*l = 174*l + 112 + 638. Let i(s) = -s**3 - 24*s**2 + 19*s + 12. Calculate i(l).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 5 + (0 - 6). Let n be (-8 + 96\/40)\/(1\/m). Solve 24*c = n*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -20, -6*z + 3*z - 24 = -3*k. Suppose 721 = 13*h - 10*h - 4*x, -k*x + 761 = 3*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 3. Let d = 19 - 16. Suppose d*y + k = -8, -4*y - 20 = y + 5*k. Is 7 a factor of z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 7*i**2 + 8*i + 8. Let m be x(8). Let r = 0 + -1. Let v be (-4)\/3*(-7 - r). Calculate the highest common factor of m and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/380 and -71\/21546?\nAnswer: 215460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2473*i - 3271 + 169231 = -425*i + 2562*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 82. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h**2\/3 - 23266*h\/3 - 3580\/3 = 0. Calculate h.\nAnswer: -2\/13, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 57024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -100*y**2 - 495*y + 37. Give w(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -773 + 410. Let w = 363 + i. Solve -b - 4*j + 17 = w, -2*j = -4*j + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343416*o**3 + 161563*o**3 + 181852*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8768793 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 + 99. Let g be ((w\/(-8))\/6)\/((-2)\/4). Which is the second biggest value? (a) g (b) -21 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - n - 1. Let x be c(2). Let l(q) be the first derivative of -q**3\/3 + 7*q**2\/2 - 16. Calculate l(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:56 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/25328 and 49\/1136.\nAnswer: 1798288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7446 divided by -2482.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 12. Suppose b*v + l = v + 6, -4*v + 2*l = -8. What is the least common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/((-147)\/7))*12\/42?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3*l - j**3 + 1227654*j**2*l - 94*j**2 + 16*j*l + 6826 wrt l.\nAnswer: j**3 + 1227654*j**2 + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9 = i, 0 = i - 2*g - 2*g - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 176. Let n be q(0). Let r be (n\/6)\/(6\/(-27)). What is the units digit of r\/16 + (-1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 15209124?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*k = 0. Let j(i) be the third derivative of 0*i + i**2 + 1\/180*i**5 + 0*i**3 + 1\/36*i**4 + k. Factor j(u).\nAnswer: u*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-76)\/8)\/((-8)\/16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 = f - 2*i, 0 = 4*f + i - 15. Suppose q + f - 5 = 0. Suppose 5*j - 3 = q. Let l(k) = -3*k**2 + 2*k - 1. Give l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5907 = -18*n + 16233. List the prime factors of n.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 25*g**3 - 95*g**2 + 21*g. Let b(c) = -26*c**3 + 94*c**2 - 22*c. Let v(w) = -2*a(w) - 3*b(w). Factor v(h).\nAnswer: 4*h*(h - 3)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21073, 84275, 189613, 337087, 526697, 758443?\nAnswer: 1032325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6 + 27. Let t(s) = -3 - d*s + 7*s + 6*s. Let k(y) = -6*y + 8. Determine -6*k(l) - 17*t(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/86569 - -606031\/2077656. Let t(r) be the third derivative of -1\/15*r**5 - 1\/120*r**6 + 0 + 1\/3*r**3 + i*r**4 - 34*r**2 + 0*r. Give t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8*g = 22, 596*g + 1 = -y + 597*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 12, 2*u - 3*u + 3*r = -27. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3244 + 116893\/36. Let i = 713321\/32 + -22289. Find the common denominator of t and i.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28182\/183 - 126 - (-1 - -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217.5238 months to centuries.\nAnswer: 1.8479365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 32807.3752 to the nearest 100.\nAnswer: 32800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 1:32 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 113.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i - 62*i + 10 + 25*i. Let p be d(-6). Suppose 3*t - 256 = l, 2*l - 8 = -10. What is the highest common divisor of t and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3356 - 5?\nAnswer: 3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 - 425 = -11*k. Let y be (k\/210)\/(2\/6). Factor 2\/5*g**5 + 0 + 6\/5*g**4 + 2\/5*g**2 + 0*g + y*g**3.\nAnswer: 2*g**2*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4254*v. Let w(l) be the first derivative of -l**2\/2 - 1262. What is w(j(o))?\nAnswer: -4254*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -36 + -10 + -90?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = -64. Let d = 36 + y. Suppose -436 = -5*w + 3*v, -w - 4*w + 433 = -d*v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {s: 1, m: 4, k: 1, t: 1, x: 1, j: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmiiiimiiitiiiiii. Give prob of sequence mi.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70030497 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-9)*3\/(-15). Which is the closest to y? (a) 4 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - 3*g**5 + 4*g**5 - 3*g**5 - g**5 + 3*g**5 + (5 - 5 + 2*g**4)*(-4*g + 5*g + g) + 235*g + 243*g + 9845*g**5 + 235*g - 943*g + 230*g.\nAnswer: 9850*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/25 + -91\/200. Let h = -3177269\/120 + 26477. Let d = n - h. Which is the third smallest value? (a) 5 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 + 6*x - 6. Let b be t(-5). Suppose -4*l + 0*l = -4*c + b, -5*c + 4*l = -75. Solve -s - c = 3*a + s, 0 = 2*a + s + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 315. Let d be g(50). Solve h - d = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21576 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1221 = -100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2. Let l(b) = 3*b**3 - 4*b**2 + 1. Calculate l(q) - 6*z(q).\nAnswer: -3*q**3 - 10*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3 and (-45)\/60*103*2\/(-54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -418 - -421. Suppose s*p - 10 = -2*r + 14, 4*p + 48 = 4*r. Let l = -69 - -177. Calculate the greatest common factor of r and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 32*p + 499 = 60*p - 27, -2*v = 5*p - 101 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1264.918 years?\nAnswer: 126.4918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583736653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(108)\/sqrt(3) + sqrt(36))\/((sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72)*-1 + sqrt(72)))) + sqrt(72))\/sqrt(6)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2490 = 2491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137184178 to the power of 1\/2, to the nearest integer?\nAnswer: 11713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*z + 12. Suppose -3*r = 5*d - 12, -9 = 3*r - 0*r - 2*d. Let s = 1 - r. Solve -z*j + 3*j = -s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 14 + 2, -z + 2*l = -29. Let o = -16 + z. What is the highest common factor of 63 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 843349812?\nAnswer: -843349811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1*-4)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 - 11*q**2. Give i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -545*b**3 - 5*b**2 - 8*b - 5. Let d(h) = -817*h**3 - 8*h**2 - 13*h - 8. Give 5*d(v) - 8*m(v).\nAnswer: 275*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4608 and 1296?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175 + 1080 = 19*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + y - y + 9*y - 488 + 488 + 6*y - 3 + 3 + (y - 3*y + 0*y)*(-2 + 3 + 0) + 2*y + 2*y + 0*y.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3300 + 13201\/4. What is the second smallest value in c, -0.05, -28?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:44 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/2 + 42*g**2 - 231*g\/2 + 75 = 0. What is g?\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 1.8. Let v = -2.4 + n. Let k be 32\/(-14) + 2\/7. Which is the nearest to k? (a) v (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4845, -9690, -14535, -19380, -24225?\n\"Answer: -4845*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-25)*(-10)\/(-1)*(-96)\/168?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.72 - -2.72. Sort -3, -0.06, o.\nAnswer: -3, o, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 637ebb8 - 4?\nAnswer: 637ebb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101274 times 16?\nAnswer: 1.620384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2216 - -123253.\nAnswer: 123253.2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124836 and 152440?\nAnswer: 46189320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 20 = 5*x - 5*h, -25 = x - 5*h. Suppose x = -16*j + 10*j + 96. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 60. Suppose -3*l - 20 = 2*l, g = 3*l + q. Determine p, given that -8*p**4 + 7*p - 4*p**g + 5 - 3*p**5 - 4*p**2 + 10*p**2 - 3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 46588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-3 - -38))\/(-1))\/(24\/240).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (4454\/4 + 1)*(-792)\/(-297)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(24\/(-10)))\/(9\/(-6))*(-36288)\/560.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 2*p**3 - 12. Give j(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, 0, -4, 617, 4 in decreasing order.\nAnswer: 617, 4, 0, -1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 4*m**3 - m + m**3 - m**2 + 0*m**3 in the form y + g*m**3 + q*m + k*m**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 3*x - 6*x**2 + 1\/2*x**3 + 0. Let j be m(5). Solve q = -2*r - 7, 5*q + j*r + 18 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 + (9 - 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1407*a**2 - 14*a - 12. Let z be u(-1). Let r = 545 + z. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425 - -457. What is the greatest common divisor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534484047.\nAnswer: 3, 47, 3790667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.44, 1\/3, 47.93, 1\/4?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 22 = -4*q + 5*v, 20 = -4*q - 4*v. Let p(t) = 33*t**2 - 67*t + 2. Let d be p(2). Sort 4, q, d in decreasing order.\nAnswer: 4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203 and 45725015.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**2 + 10*i + 6. Let w be g(-5). Suppose -t - w = -1420. List the prime factors of t.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 30*t - 809. Calculate v(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29163 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1430*t + 5 = 1429*t - 4*r, 2*r = 4*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 - 8*u - 2. Let o be t(4). Find the first derivative of 7*w**3 - 7*w**2 + 7*w**2 + 5 - o*w**3 wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -385 in descending order.\nAnswer: -4, -5, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -5 (b) 2 (c) -2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 261\/63)\/((-6)\/(-21)). Which is the closest to 0.1? (a) 20 (b) y (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**3 + 2*j**2 - j + 2. Let f(a) = -40*a**3 + 11*a**2 - 6*a + 11. Let d = 234 + -232. Determine d*f(s) - 11*c(s).\nAnswer: 8*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -60. Let y be ((-22)\/(-33))\/((-2)\/x). Let p be y*(-5)\/(140\/12). Solve p*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 223\nAnswer: 4\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(-c - 3*c + 6*c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*a - 4700 = 0, a = d - 2*a - 1158. Suppose -55*w + 57*w = d. What are the prime factors of w?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 101300?\nAnswer: 101254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 434?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(84)\/(sqrt(12)*2*1) + ((sqrt(28) + 2)*-4 - sqrt(336)\/sqrt(300)))**2.\nAnswer: -174261\/50 - 5688*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqhvbwvwv. Give prob of picking 2 b, 1 v, and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-170)\/(4 - 2) + 1. Let t be (1\/3)\/((-4)\/f). Let -19*w**2 + 2 - 16*w**2 + t*w**2 + w = 0. What is w?\nAnswer: -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-10))\/(4\/5). Which is the nearest to -2? (a) x (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*k + 14. Let y(l) be the third derivative of -6*l**2 + 0*l + 0 - 4\/3*l**3 + 1\/6*l**4 + 1\/60*l**5. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 161, -3, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/30 + z**4\/24 + z**3\/2 - z**2. Let a(i) be the second derivative of i**2\/2 + 133*i - 1. Determine 5*a(d) - q(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 3) + (-4 - -9) + 3\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -215+245469177\nAnswer: 245468962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66 and 1467140?\nAnswer: 1467206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7361053 (base 9) to base 12\nAnswer: -139a6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d. Let b be (-7 - -2)*2\/(-5). Let n(q) be the first derivative of -3 + 2*q**2 + 0*q**2 - 4*q**b + q**2. Determine n(s(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 560\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3284, -4, -2, -21\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 351 - 347. Let y(r) = 25 + 6*r + 9 - l*r + 33 - 46. Let k(z) = 2*z. Determine k(y(u)).\nAnswer: 4*u + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/4*192\/(-180) - (-65)\/(-13). Let d = 0.02 + -0.08. Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1225 - 1222. Let d = -153 + 151. Sort j, d, -7 in decreasing order.\nAnswer: j, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.379 + -10.4. What is g rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 945 - 923 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.1, 0.392?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41116*u**2 - 1 + 82237*u**2 - 2*u - 2*u + 4*u - 41117*u**2.\nAnswer: 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4 less than 1\/1141646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40836.999973377 - 40837. Round d to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, r: 1, z: 4, b: 1, y: 1}. Give prob of sequence ruuy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/21)\/((-31)\/186)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3599567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 23211?\nAnswer: -23209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9241, 18062, 26885, 35710, 44537, 53366?\n\"Answer: p**2 + 8818*p + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -1\/8*p**4 + 1\/36*p**6 - 8 + 0*p + 1\/6*p**2 - 1\/30*p**5 + 1\/18*p**3. Factor n(w).\nAnswer: w*(w - 2)*(w - 1)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2.05. Let m = -29.95 - x. Let n = -29.66 - m. What is n rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 93*g**2 - 250*g + 1733. Calculate h(-90).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 104*b**2 + 100*b = 0 for b.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-35))\/(2\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = 0. Let z(u) = 2*u + 12. Let c be z(p). Suppose -c + 0 = -4*g. Solve -s - y - g = -2*y, -2*y + 6 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 904 = -5*w + 961, 6*z = -w + 129 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/121 + (-2484)\/(-297).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 5*h + 6, 0 = -h - 3. Let f(u) = -u. Let k(v) = -3*v. Let l(j) = g*k(j) - 2*f(j). Let c(w) = -w**2. What is c(l(x))?\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 5*z - 4. Let x be 3 + (-138)\/42 + 19\/(-7). Let f(v) = v**2 + 9*v + 7. Calculate x*f(u) - 5*p(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13290 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -904\/9 + 15301\/144. Find the common denominator of 93\/28 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - h + 3*h + 3*h - 4*h + 0*h - 2*h + h - h + (4 - 1 - 1)*(-2*h - 4 + 4))*(h**2 + 5*h**4 - h**2).\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/13 - 846*j**3\/13 + 83712*j**2\/13 + 95048*j = 0. What is j?\nAnswer: -13, 0, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -214 + 84. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1696354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*n**3 - 5*n**2 + 2*n**2 + 5*n**2.\nAnswer: -154*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 - 53 - 198)*(j**2 - j**3 - j**2 + (-j**2 + j**2 + 2*j**3)*(3 - 5 + 4)).\nAnswer: -996*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371287419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/2)\/2 + 1. Let k(h) = 5*h + 2. Let t be k(4). Suppose 2*l - 4*g + 18 = 0, 5*g = 4*l + t + 5. Put d, l, -5 in ascending order.\nAnswer: -5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30446522 and 3088?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 6*f = 8, 0 = 6*h - 9*h - 8*f + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.1 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214450 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*q + 9067*o - 9069*o + 308, -o - 44 = 5*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7638)\/11256 + (-6)\/8.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:53 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-62)\/(-3))\/(-7 - (-20)\/3). Let w = q - -680\/11. What is the nearest to -3 in 4, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 711962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-15 + 5 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-586 + 1888 + 1187 + 2841 - 983)*(k - 2*k**3 - k).\nAnswer: -8694*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915289.2nm to millimeters.\nAnswer: 0.9152892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 8*x - 3 = -9*x, -5*i + 2*x + 16 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9644232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1886 + 1984. Which is bigger: a or 0.08?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3405, 18878, 44655, 80736?\n\"Answer: 5152*o**2 + 17*o - 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17\/4)*a**7)\/((a*a*a**(-8\/11))\/(a*a**(-1\/7)*a)) assuming a is positive.\nAnswer: a**(1027\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22823\/3 at least as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-66))\/((-64)\/((-11776)\/(-69))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 14*n + 29. Let j be k(-7). Let b be 25\/10*(-136)\/j. Solve -5*u + u = 3*v + 13, -3*u - b = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*y - 12. Suppose y*s - 6 = 9. Suppose -s*o - d = -0*d - 10, o + 3*d = 14. Which is bigger: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2805, -22063, -74309, -176037, -343741, -593915?\n\"Answer: -2749*t**3 - 15*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5352.\nAnswer: -5\/5352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00765 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*d = 13, 5*h - 3*d = 1 + 27. Solve 0*u - 25 = -h*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*x + 1068 = -7678, -5*i - 3*x + 14564 = 0. Suppose -9582 = -2*d + 5*h, 0*d + 9558 = 2*d + h. Let u = d - i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -289, -293?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**35\/((x\/(x\/x**2))\/x))\/(x**(-1\/12)\/x)**(-5) assuming x is positive.\nAnswer: x**(343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-8)\/(-3). Suppose -2*q = -3*q + r. Suppose -q*z = -0*z - 20. Solve -2*u = 5*p - u + 6, -z*p + 5*u = 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168.2 - -168. What is the nearest to -2\/17 in 0.4, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:25 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + g**2 - 5*g**2)*(-112*g**2 + 270*g**2 - 116*g**2).\nAnswer: 42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v + 4. Suppose v*l - 3598 = 3*l - 2*n, 3*l = -n + 2698. Suppose 5*w - 496 - l = 0. Calculate the highest common divisor of w and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 808.1228 weeks?\nAnswer: 488752669440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 + 36*z**2 - 80*z + 48 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 309.61 + -309.610026039. What is f rounded to seven decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 6*f**2 + 3*f + 9. Let t be n(2). Is t at least as big as -3\/3224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35141 - 10?\nAnswer: -35151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p + 9. Let v be s(7). Suppose -v*d - 3*r + 11 = 0, d + 3*d - 15 = r. What is the remainder when 1\/((-11)\/6 + 2) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207600 and 19820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11425 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - -219. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142569841?\nAnswer: 53, 2689997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 3. Let o be y(-3). Let z = 16 + -6. What are the prime factors of (o + -2)*(-25)\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 6*n - n + (-n + 4*n - 5*n)*(-3 + 15 + 10))*(151*n + 129*n + 45*n) in the form o*n + g*n**2 + c and give g.\nAnswer: -13650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*f + 4 = a, 0 = f + 4*a - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36680444*i + 5958639 with respect to i.\nAnswer: 36680444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9178.939g to tonnes.\nAnswer: 0.009178939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(231\/(-2)))\/(5*6\/90)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + c = -3, 3*c = q + 4 - 3. Let x be (2\/(-8) - 1\/(-4))*1. Sort -4, x, q in increasing order.\nAnswer: -4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (2515\/(-175) + (-9)\/21)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:10 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/90*p**5 + 0 + 0*p**2 + 0*p**4 + 1\/27*p**3 + p. Find d, given that r(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 30*q + 260. Calculate h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 494, 3173, 7636, 13883, 21914?\n\"Answer: 892*a**2 + 3*a - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-14))\/(-35*243\/(-99225))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/27 and 22\/7?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2169302 + -2169304.1000696. Let o = 2.1 + f. What is o rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6447.1099 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3062, 6113, 9164?\n\"Answer: 3051*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0, 2\/7, 84?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m. Suppose -v + m - 2 = 0, 4 = 2*x + v. Suppose -13*a + 128 = 3*a. Solve 2*p = x*c - 10, 0 = 2*p + c - 3*c + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 834 + -351. Is 72 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 - 266*t + 62. Let o be h(33). Let f be 52\/90 + (403\/65 - 7). Let x(p) = -p + 1. Let z be x(6). What is the third smallest value in f, z, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -0.93, -2717?\nAnswer: -2717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 3*b - 87421 + 33451 = 0, -7720 = -p + b. List the prime factors of p.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2614644 - 0.840158. Let c = a - -0.3587. Let i = -0.22 - c. What is i rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nofkknnnktkkni. Give prob of sequence tkf.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16fe75 (base 16) in base 11?\nAnswer: -93a1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j + 5*a + 1425, -3*j - 855 = -5*a. Let u be j\/(-3) + 1 + -1. Suppose -3*g + u = 5*l + 19, l = 2. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 25388942.\nAnswer: -5077788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8798076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 10*d - 699 + 698 + d**2)*(0 - 3 + 5).\nAnswer: -2*d**2 + 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/10*(-2)\/(-8). Let a = 0.041617 - -6.958383. Put 0.2, 1\/2, a, m in descending order.\nAnswer: a, m, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1286340 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0177679717541976 + 72788025.8777230717541976. Let b = c - 72787326.86. Let i = 699 - b. Round i to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -10918\nAnswer: -105\/5459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (28\/42 + 2\/6)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86.5 - 69.565. Let v = -0.065 - t. Which is the third biggest value? (a) 2\/9 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873073332?\nAnswer: 2, 718268333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2\/5*m - 2\/5 - 2\/5*m**3 + 2\/5*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 4660894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1246, 605, -1110, -4427, -9874, -17979?\nAnswer: -29270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -6. Let p = -4 + d. Let o = p - -1.2. What is o rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 71*b - 375. Solve b*v - 146 = -83 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 8*t + 7. Let g be d(-7). Let a be 3 - (2 - g\/(-1)). Suppose 5*b - 34 = a. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**4 - 2*a**2 + 17*a + 25252 wrt a.\nAnswer: 28*a**3 - 4*a + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/((-3 + 6)\/3). Let s(l) = -21*l**3 - 5*l**2 + 10*l - 44. Let u be s(r). Round u to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a0 (base 16) in base 5?\nAnswer: 10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -57 + 3 + 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = -12. Suppose 4*a + 13 = -t. Let s(i) be the third derivative of i**6\/120 + i**5\/20 - i**4\/6 + i**3\/6 + i**2. What is s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 - 2*c**2 - 13 - 11 - 5*c**2 + 3*c**2 as b + v*c**2 + o*c and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.890734 hours to weeks.\nAnswer: 0.39220675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*d = -122*d + 1102 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*(q*q\/((q\/(q\/((q**27\/q)\/q*q)))\/q))\/q)**(2\/13) assuming q is positive.\nAnswer: q**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 4, 5, -1, 2, -502 in decreasing order.\nAnswer: 5, 4, 2, -1, -2, -9, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 + 2*i - 28. Let k be d(-3). Let y(z) = 2*z**2 + 3*z + 2. Let u be y(-6). Calculate the greatest common factor of u and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:52 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 38694?\nAnswer: 38694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19*q**3 + 2*q**2 - q - 1. Let c be j(1). Suppose 74 + 21 = -5*h. Let u = c + h. Solve -3*w + 4*i - 4 = 0, -2*w - i + 12 = -u*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.58643 to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 684952*r**4 - 49*r**2 - 1460*r - 2 wrt r.\nAnswer: 16438848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 58 - 13 = 5*t, 5*t - 2*a = 31. Suppose 0 = t*x - 2*x - 110. Factor -20*i**3 + 35*i**2 - x*i + 15*i + 17*i.\nAnswer: -5*i*(i - 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56094559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2720, 0.4, -16\/21 in ascending order.\nAnswer: -2720, -16\/21, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**11\/(h*h**2))**(-1\/24))**49 assuming h is positive.\nAnswer: h**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 + 75*f**2 + 21*f**2 + (4 - 3*f - 4)*(-6*f + 3 - 3).\nAnswer: 122*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -4)\/(4\/(-10)). Let o = w + -1. Let f = 5 - o. What is the highest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:03 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.251 * 24\nAnswer: -6.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 0.48.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/(((-4)\/(-4))\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f - 16. Let m be 279\/45 + f\/10. What is the highest common factor of 9 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 times -8?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 45. Let v(s) = -5*s**2 - 4*s + 7. Let o(q) = -q**2 - q + 1. Let k(r) = 4*o(r) - v(r). What is the smallest common multiple of h and k(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 46.082. Let c = -3.782 + h. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -6. Let d = z + -32. Let h = 45 + d. Which is the nearest to 2\/25? (a) 0.3 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, e: 2, y: 5}. What is prob of sequence pppp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 363608.207 to the nearest one hundred.\nAnswer: 363600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 2*h. Let j be h\/(-9) - 19\/15. Which is the third biggest value? (a) -5 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -3*(sqrt(125) + (sqrt(125) - (sqrt(125) - (sqrt(125) + (3*sqrt(125) - sqrt(125))))*-5) - ((sqrt(125) - (1 + sqrt(125))) + 2)) + -5)**2.\nAnswer: 1680*sqrt(5) + 72049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let r = 1.9 - h. Let w = -0.1000004 - r. Round w to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -70. Let c = -0.1 - 0.1. Is c >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/3240 and 73\/307842?\nAnswer: 166234680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61636 = -5*q + 2*z + 5*z, 12 = -4*z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205 * 231736\nAnswer: 47505880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1227.78 and 2?\nAnswer: 1229.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*p + 18, -2*p - 23 + 68 = 5*g. Let c = -221 - -244. What is the remainder when c is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 + -0.4. Let f = 0.95 - n. Let y = f + 5.8. Round y to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -511*d**2 + 2*d. Let t(z) = 256*z**2 - z. Calculate -3*g(c) - 7*t(c).\nAnswer: -259*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114 = 2*t - 4*s, 5*t + 3*s - 2264 = 495. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 782 = 33*x - 14*x. Which is the nearest to -0.05? (a) -2 (b) -3\/5 (c) x (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -12, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from cihzo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:03 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 32600*b. Let a(o) = -31*o + 1. Give a(c(i)).\nAnswer: -1010600*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -53. Suppose d = 16*a - 48 - 16. Solve 3*g - a*u - 4 = 0, 0 = 3*g - 7*g + 5*u + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - 4*u - 1. Calculate x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 69. Let l = s - 53. Let k = l - -26. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 6, i: 11}. What is prob of picking 3 i?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/11865 and -23\/1695.\nAnswer: 11865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o. Let h(c) = 7*c**2 - c + 2. Let f(k) = -6*d(k) - h(k). Let u be f(-4). Put -1, 1, u in increasing order.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*g = -61, -15*l + 18*l + 3*g + 33 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -155 + 12*a + 118 - 19*a. Let y be j(-5). Let w(d) = 2*d**2 + 4*d + 3. Give w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.481 and -21.\nAnswer: -10.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 32?\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -356\/9 (c) 20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-114))\/((-850)\/(-15300)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -3*f. Calculate the highest common factor of 24 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -113011000*m**3 - m**2 + 20*m - 19. Let j be p(1). What is j rounded to the nearest 1000000?\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 22. Let g be l(0). Let s(x) = -x**2 + 20*x + 45. Let q be s(g). Which is the smallest value? (a) 5 (b) q (c) -5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 0. Let r be 2\/8 + (-33)\/(-12). Let n be (-8)\/r*(-6)\/4. Solve n*l = 5*u - 21, -u + 9 = -2*l - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - -101. What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16364858 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1611.84 + -1576. Round c to 0 decimal places.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/10))\/z)\/(z*(z*z**(1\/9))\/z))\/(z\/z**4)**(-1\/26) assuming z is positive.\nAnswer: z**(-659\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2 - 240*s + 3456 = 0.\nAnswer: 24, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -75?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(1008) + sqrt(1008)*2)*-6 - sqrt(1008)))**2*-1 + -2.\nAnswer: -363899 - 1368*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -803 + 1273. Let u = z + -160. What are the prime factors of u?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 138, 4 in ascending order.\nAnswer: 2, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 42. Let a(x) = -x**2 + 14*x - 18. Let s be a(v). Suppose -1955 + 629 = -s*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3352628119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.7 - -0.12.\nAnswer: -36.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6696959.\nAnswer: 6696959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006938 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95396, 190895, 286394, 381893, 477392, 572891?\n\"Answer: 95499*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + f)*(0*f**4 - f**4 + 0*f**4) - 3*f**3 + 3*f**3 - f**5 + (-1 + 0 + 0)*(-49*f**5 + 13*f**5 + 20*f**5) - 7*f**5 - 6*f**5 + 5*f**5.\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-583*m - 565*m + 280*m - 860*m - 16*m)*(m + m - 3*m).\nAnswer: 1744*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.225837732 + 6126.\nAnswer: 6133.225837732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a62385 (base 11) to base 16\nAnswer: -19f662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 7*x**2 - 5*x - 2. Give l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -559*l**4*z + 713*l**4 + 3841866*z wrt l?\nAnswer: -2236*l**3*z + 2852*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1183, -2\/11, 5 in increasing order.\nAnswer: -2\/11, 5, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1b?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**3 - 5*s**2 + 5*s + 2. Let d(v) = -14*v**3 - 6*v**2 + 6*v + 3. Give 5*d(a) - 6*l(a).\nAnswer: 14*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14556 divided by 6?\nAnswer: 2426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*j, 5*g = -0*j - 5*j - 10. Let i be g\/(1 - 14\/21). Let z = 9\/7 + -59\/35. What is the closest to -0.1 in z, 1, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1032 divide 2162957763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -103. Which is the closest to g? (a) 0.1 (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9805853 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -19\/28, 0.58, 4, -16?\nAnswer: -19\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100, -2575, -4422, -6641, -9232, -12195?\nAnswer: -15530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196753950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 46942151*k**2. Let i(o) = -2*o**2. Give q(i(s)).\nAnswer: 187768604*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3364473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + z - 3*z)*(2 - 2 - 2*z + 0*z + 1 - 2 - z + (-4*z + 9*z + 11*z)*(0 + 0 + 2)) to i*z + w*z**2 + t and give w.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871818338?\nAnswer: 2, 3, 13, 23, 1043377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 363 - 236. What is the remainder when 1142 is divided by w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 1. Let v be l(-2). What is the second derivative of -6*f**2 - 2*f + 6*f**2 + 2*f**v wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**6\/180 - 3*s**5\/40 - s**4\/24 - 2*s**3\/3 - 1. Let y(b) be the third derivative of c(b). Is 17 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(15\/6) - 5. Let w(p) = -p**2 - 7*p + 3. Let k be w(c). Suppose -18 = -2*m + k*o, -2*o + 1 = -3. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1602 + 84904\/53. Let r = -2 - -2. What is the closest to 0 in r, 2, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.6888 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-13)*(286\/39)\/(-22)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1818*r - 6. Let u be c(-22). Let m = 24990 - u. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j + 18. Let u be v(3). Suppose 3*o + 4*b - 257 = u, -2*o + 4*b + 221 = 43. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.803 times 1128?\nAnswer: -119345.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 - 8*r - 2. Let t be k(-6). Let o = -24 + 24. Solve 2*h = -5*d - t, -5*h - 25 = -o*d + 2*d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -297*k + 299*k + 4*r, 2*k = 3*r - 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 75 - 71 = 4*s, 0 = -3*s + 2*m + 25. Let c be (-3 + 2)*(1 - 1). Solve -s = -3*g + l - 19, c = -3*g - 4*l + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:33 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 228575, -0.3, 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 9*t**2\/2 - 3632*t - 113010 = 0.\nAnswer: -30, 7534\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 1\/101?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 6*q - 11. Let n(p) = 4*p**2 + 13*p - 21. Let h(b) = -5*a(b) + 3*n(b). Let l(w) = w**2 + w - 1. Let y(m) = -h(m) + 5*l(m). Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17384 and 2300346?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (0 + 1*sqrt(180)))*-6 + 3*(-2*sqrt(125) + sqrt(125))*-1.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3005*w - 3121*w + 116. Let l(n) = -n**2 - n. Let i(h) = -2*h**3 + 4*h**2 + 2. Determine w*i(b) + 2*l(b).\nAnswer: -2*b**3 + 2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose j - 15 = -5*w - 0, -2*w - 5*j + 29 = 0. Which is the third smallest value? (a) v (b) -2\/23 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.2 - -37.2. Let k = -286 + 178. What is the biggest value in k, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 1098.\nAnswer: 35\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-3 - -2)\/(-1). Let z = g - -3. What is the lowest common multiple of z and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138937 or 138934?\nAnswer: 138937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 480, 737, 910, 999, 1004, 925?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 13*q - 17*q + 13 + 6*q.\nAnswer: 2*q + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkvvkvvvvvkkzvz. What is prob of picking 2 v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*t + 115*t - 229*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114250269 and 0.3906549?\nAnswer: 114250268.6093451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/30 + 3*z**5\/40 + z**4\/8 - z**3\/6 - 3*z. Find y, given that c(y) = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4728 + -4728. What is the nearest to 2\/3 in l, 17, -3\/4, 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t - 3*t - 4*p + 258, 0 = -2*t - 3*p - 53 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6*2)\/(-8*(-2)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Let z be (162\/(-5))\/(q\/(-20)). Suppose 0 = 2*c + c - z. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4358, 17428, 39234, 69800, 109150, 157308?\nAnswer: 214298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 555495.\nAnswer: 1666485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158011 + 1420328\/9. Let a = z - -197. Factor a*k**2 + 2\/9*k - 4\/9.\nAnswer: 2*(k - 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1032\/42 - 8\/14. Suppose -2*b = 2*b - a. Suppose -b*z + 25 = -23. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 7 = -15*w + t, -2*t = -2*w + 6. Solve v + 3 = 3*x, -5*v + 1 + 3 = w*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32749 rounded to the nearest 100?\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 7 - 129)*(4 - 5). Calculate the greatest common factor of l and 8560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 times -11.36?\nAnswer: 7043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-309)\/(-6) + 3)*-1*2. What is the hundreds digit of -4 + 2 - (i - (1 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 264*c**2 + 512*c = 0.\nAnswer: 0, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 18 + 10 = 0. Factor -4\/9 + 10\/9*n**3 - q*n**2 + 14\/9*n - 2\/9*n**4.\nAnswer: -2*(n - 2)*(n - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -5)*8\/(-10). Suppose j - m*j + 63 = 0. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(243)*2 + 5)**2.\nAnswer: -981 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 1287.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 156010116364558 and 0.4.\nAnswer: 156010116364558.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3663 = -3*f - 1688 + 2255. Is 1410 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336.7 - -350.7. What is the second biggest value in i, 3\/4, -0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 + 5 = s, -s = -5*y - 2. Calculate the greatest common divisor of 948 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -34?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 505056504 minus -8?\nAnswer: 505056512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -15. Let a be 3 - 1\/(7\/27). Is a not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236036, -236075, -236116, -236159, -236204, -236251, -236300?\nAnswer: -236351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 10 - 94. What is the third derivative of -b*g**5 - 12*g**5 + 56*g**2 - 17*g**5 - 12*g**5 wrt g?\nAnswer: -3720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**3*v**2 + 2*u**3*v + 36438300*u**3 - 181*u**2*v**2 + 40587*u**2 wrt u?\nAnswer: -6*v**2 + 12*v + 218629800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1550341\/121 - -12813. Calculate the common denominator of 397\/3176 - (-86)\/(-88) and t.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 2.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1. Let l(r) = 4 - r - 3 + 3 + 3. Give l(b) + 6*m(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and -6291.\nAnswer: -6279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169492266487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -158174.0308 to the nearest one hundred.\nAnswer: -158200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -784 divided by 784.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42070 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*p - 77, 2*z - 4*p = -3*z + 115. Suppose 17*x = z*x - 12. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 10*q - 30. What are the prime factors of u(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*s + 108*s + 61*s - 203*s + 59*s.\nAnswer: 98*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 7. Let i(u) = 3913*u**2 + 23478. Give 3354*g(s) - i(s).\nAnswer: -559*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 3*s**2 + 3*s + 1. Is 20 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*y - 2, 0 = 3*y + 3*f - 16 + 4. Let l(h) = 185*h + h**y - 374*h + 188*h - 33. Calculate l(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*4 - -1*sqrt(121)*3)\/((6*(sqrt(132) + (2*sqrt(132) - sqrt(132))))\/(sqrt(24)\/(sqrt(10)\/sqrt(5)))).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 45*w + 26. Let r be i(3). Let l = -152 + r. Let s(y) = 9*y**3. Let t(o) = 18*o**3. What is l*s(h) - 5*t(h)?\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + w + w = -48, 3*w + 32 = 2*y. Suppose -y*l = 3*l - 2*l. Let d be (-108)\/(-5) + (l - 4\/(-10)). Round d to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13343.\nAnswer: 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:26 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.169 - 0.011.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/19 + 101\/171. Let h = 32.044 + -32. Let n = h + -2.044. Sort 0.1, n, g.\nAnswer: n, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17084 divided by -1666.\nAnswer: 8542\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) + 612\/22. Let g = 87 - p. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/11 + 1514*v**2\/11 - 16860*v\/11 + 27648\/11 = 0?\nAnswer: -768, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 17*l - 164. Let b be h(7). Solve -4*z + 4*s = 1 + 11, b*z - 3*s + 11 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 520 = 79*c + 20*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3012*0.2\nAnswer: -602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106401879 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-7))\/(-3)*-7. Suppose k - 74 = -z, 0 = -4*z + z + f*k + 242. Is 13 a factor of (-13)\/z + (-79)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4*2 - (-9 - -12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/14 and 131\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 3}. What is prob of sequence iip?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 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: Find the second derivative of 248976751*o**2*r - 2*o*r - o + 134164*r - 583 wrt o.\nAnswer: 497953502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -268561 and -9.\nAnswer: 2417049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104, -1562, -2020, -2478, -2936, -3394?\nAnswer: -3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 2. Suppose 0 = -4*n + 2*n - 6. Let y be 1*9\/(n*1). List the prime factors of i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 17. Suppose -2*w = -2*v + x, 1 = 2*v - 9. Let u = 39 - 545\/14. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-2 + 10)) + 4. Sort 2, -2, -5, t in increasing order.\nAnswer: -5, -2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Let g(c) = 45*c**2 - 15*c**2 - 11*c**2 - 9*c**2 + 5*c + 5. Let f(r) = 9*r**2 + 4*r + 4. Determine i*f(a) - 4*g(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*f + 28 = 0, v = -2*f - 0*f + 30. Suppose 4*r - 174 = -v. Calculate the remainder when 70 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-35)\/(-20)) + 6. Suppose -l*u - 657 = -3*b - 0*b, -b - 4*u + 233 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-24)*(-6)\/4*-4. Let l be f + 2 + (4 - 0). What is the nearest to -1 in 0.6, l, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 134.7677577755 and -0.06.\nAnswer: 134.7077577755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3275 and 69583925?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = c - 74. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u**3\/7 + 2272*u**2\/7 - 100638*u\/7 - 124020\/7 = 0. Calculate u.\nAnswer: -265, -6\/5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 668 - 667.8452. Let p = n + -0.18. Round p to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011110010101110 (base 2) to base 12.\nAnswer: 38bb52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 3819.601\nAnswer: 2673.7207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.03 - -17.13. What is the biggest value in -2\/5, r, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**2 - 8. Let r(f) = f**2 + 1. Let d(z) = -g(z) - 10*r(z). Suppose 5*y = 25, y + 3 = -2*i + 12. Suppose 2*u - u = -i. What is d(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17360 (base 9) to base 4.\nAnswer: 2322321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + 6 + 1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(299\/(-897)*(-2)\/(-2))\/(2\/(-24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2080792?\nAnswer: 2080792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 1. Let h(f) = -f + 2. Let m(v) = -h(v) - l(v). Let x be ((-3)\/(-9))\/((-3)\/(-18)). Let j be (-2 + x)*1\/(-2). Give m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -5, 5, -16?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 606404, 2425628, 5457668, 9702524, 15160196, 21830684, 29713988?\n\"Answer: 606408*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2067)\/12402)\/(8\/(-42)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkkkkkkkkxkkkx. What is prob of sequence kkx?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94545145 to the power of 1\/2, to the nearest integer?\nAnswer: 9723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2268 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63790*z**2 + 102129 wrt z?\nAnswer: 127580*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 30 + 90. Suppose -108 = -d*b - 0*b. Sort b, 0.8, 1 in increasing order.\nAnswer: 0.8, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 53*v + 1856. Let o be n(-35). Put -4, -5, 196, o in decreasing order.\nAnswer: 196, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -20 - 4 - -11 - 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 3*b - 27 = -3*y, g*b + 5 = 4*y - 1. Suppose 3*n - 81 = -3*m, -5*n - 115 + 26 = -3*m. What is the highest common divisor of m and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 270567?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from eefeeeeefeeeefe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 248\/(-13) + 6804\/(-273) + 25\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + (-3 - (2 - 2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13)*h**(3\/10)*(h\/h**(-10))\/(h\/(h*((h*((h*h\/h**4)\/h)\/h*h)\/h)\/h)))**(1\/35) assuming h is positive.\nAnswer: h**(-57\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2449270 + -1.\nAnswer: 2449269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x + 7. Let w be (-10 - -1)\/(48\/(-32)). Give v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4, 0 = -2*t + 4*t - 2*a - 16. Suppose t*z - z - 15 = 0, 3*s = 5*z + 129. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 + 5*f + 8. What is the tens digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 52*l - 48*l = 10, 0 = -5*n + l + 25. Solve 0 = -5*i + 6*p - 5*p - 2, 10 = 5*i - n*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 11024 + 10123 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/(-6))*4294\/(-8136)*-120?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 29 + 19)*(5 - 3 + 0)*(1 + 5 + 2)*(0*z + 4*z - 3*z).\nAnswer: -1376*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10139869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248910 + -1493441\/6. Let t = -1548 + 10806\/7. Calculate the common denominator of t and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -2) + 0 + 0. Let b be ((-4)\/3)\/((-6)\/63). Let d be 6\/b*(-4)\/6. Which is bigger: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6\/((-756)\/(-1162)) - 15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Which is the nearest to -0.1? (a) 0.4 (b) 0.08 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53\/4 - 13. Let l = 256\/3 + -171\/2. What is the second smallest value in -4\/3, -3\/4, h, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 0*l - l)*(124*l - 28453 + 28453) in the form v + r*l + s*l**2 and give s.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -137170 (b) -127 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t**(-3))**23 assuming t is positive.\nAnswer: t**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.5 - -8.1. What is the third smallest value in 0.02, w, 3, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 2710938.\nAnswer: 16265628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2855196, -2855194, -2855192, -2855190, -2855188?\nAnswer: -2855186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2056\/(-280) - -7)*5 + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*j**2 - 70*j**2 + 0 + 0 + 2 - 4.\nAnswer: 243*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, f: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 591 - 1997 + 86 = 0. Let f = 2 + 4. Suppose f*u - 3508 = y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21854 - 10468 - 9698)*(f**2 - 1 + 1) + (2*f**2 - f**2 - 2*f**2)*(-4 + 2 + 3) to n*f**2 + c*f + t and give n.\nAnswer: 1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 26. Suppose t - 22 = -10*t. Let x(i) = 11*i - 36. Let n(b) = -5*b + 17. Let z(a) = -13*n(a) - 6*x(a). Calculate t*k(j) + 11*z(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33812.068 rounded to the nearest one hundred?\nAnswer: -33800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5082.321um?\nAnswer: 0.000005082321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 339.9966 years?\nAnswer: 33.99966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggwwigw. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than 178?\nAnswer: 178.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/11 - 104594*l\/11 + 41202016\/11 = 0.\nAnswer: -52688, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/40)\/(12\/(-5))*-3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 36763*r + 257348. Determine t(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/7 - 378\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5, -2\/5, 174, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**5\/60 + u**4\/4 + 2*u**3 + 2. Let x(z) be the third derivative of l(z). Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711028721 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -451 and 6.74?\nAnswer: 457.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 7*x**2 + 2*x + 3. Let u be v(7). Let h = u - 15. Factor -3*s**4 + s**2 + 3*s**h + 0*s**2 + s**4 - 2.\nAnswer: -2*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 128 = -0*v - v + 20*z, 4*z - 93 = 4*v - 13 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 293 = -2*i, 6*z + i - 281 = 3*z. What are the prime factors of z?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735\/622 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1618 - 7*m + 809 + 3*m + 809 + 7*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -51. Suppose 64 = -2*q + 5*z, -5*z + 6*z = 3*q + 70. Let g = q - -34. What is the lowest common multiple of a and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-843)\/(-657) + 3\/24*-12 and -29\/365?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.06 - -1.05999883. Round r to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(-6 + 2*b - 13 - 8)*(0*b**3 - 5*b**3 + 4*b**3).\nAnswer: 4*b**5 - 54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -967220.5 rounded to the nearest 1000?\nAnswer: -967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -331, -2, -19, 1, 9, -9 in ascending order.\nAnswer: -331, -19, -9, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*u**4 + u**3 - 193*u**2 - 63827*u?\nAnswer: 948*u**2 + 6*u - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*h + 7*h. Suppose p + 5*a - 12 = a, 0 = -h*p - 5*a + 29. Do 65\/7 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -41*c**4\/2 + 2*c**3\/3 + 32*c - 22. Find the third derivative of d(j) wrt j.\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*f + ((-2*f + 3*f - 2*f)*(72 - 23 + 16) + 11*f + 2*f - 3*f)*(4 + 0 - 5) to the form l + h*f and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 16*k - 10. Let a be j(7). Suppose 0 = 4*r + 3*w - 214, -5*r + 2*r + 148 = -a*w. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*w**2 + 13*w**2 + 11*w**2)*(0 - 1 + 0)*(-2 - 2 + 2).\nAnswer: -172*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3 + 3 - 17 - 9*f + 14. Let r(j) = 4*j**2. Determine g(r(y)).\nAnswer: -36*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2436909*p*r**2 + 6099667*r**2 wrt p?\nAnswer: -2436909*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:13 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/35 - 2\/(-5). Let w = 14 + l. Calculate the lowest common multiple of w and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - 2 - (4 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 1 - x**4 + 911*x - 457*x - 453*x - x**3 in the form y*x**3 + r + z*x + g*x**2 + n*x**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 21. Let p be v(-17). Solve -4*s = 2*m - 4*m + 2, -p*s + 4*m = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 3*r**3 - r**3 + (0*r**2 - 2*r**2 + 4*r**2)*(0*r + r - 2*r) - r**2 + 96*r**3 + 0*r**2 - 103*r**3 as w*r**3 + k*r**2 + y*r + l and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*b**3 + (7*b**3 + 0*b**3 - 3*b**3)*(-5 + 3 - 6) to the form m*b**2 + x + f*b + s*b**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1948630.65 + -1.835.\nAnswer: -1948632.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y. Let u be t(-5). Calculate the greatest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1431 and 117660?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(4\/7)\/l)\/l)\/l)\/(l*l**(-2\/15)))**(-1\/68)*((l**(2\/3))**(-3\/8))**(-50) assuming l is positive.\nAnswer: l**(2629\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/80 and 228\/3040*53\/(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -258, -387, -516, -645, -774?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 34\/(-14) - 60\/(-105). Solve 11*q - g*t = 10*q, t = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (3 - 0) + -7. Let i be (b - 5)*2\/24 - 1. Which is smaller: -0.02 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c4 (base 13) to base 7.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-9 - -4) + (-2 - -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6799 + 6779 + 6804 - 20382 - 14*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 = -5. Let x = z + 2. Suppose 9 = -5*g + l - 10, 3*l - 18 = 2*g. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1366*h**4\/3 - 1726*h**3\/3 - 226*h - 8. What is the second derivative of q(i) wrt i?\nAnswer: 10928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1686093\/425 + 89804\/25. Let o = u - -375. Which is the nearest to 0? (a) o (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 295, -1.6 in decreasing order.\nAnswer: 295, -1\/5, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53126, -106248, -159370?\n\"Answer: -53122*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*((-40)\/14)\/(35145\/315 - 109).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1575 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111001110110100 (base 2) to base 3\nAnswer: 1111122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*t + 30 + 156, 0 = -t + 2. Calculate the common denominator of -49\/2 and (-5)\/25 - 686\/x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 18*i - 864. Find the first derivative of 10 - 2 + 44*o - i*o - 80*o wrt o.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 2.92. Let m = 3.9 + l. Let x = -12 - -7. Which is the nearest to 0? (a) m (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(8)*2 + sqrt(8) - sqrt(8) - sqrt(8))*6 + (sqrt(32)*1)\/sqrt(4) - (-2 + sqrt(32) - (sqrt(64) + sqrt(64)*2)\/sqrt(8))) + 3)*4)**2.\nAnswer: 2560*sqrt(2) + 8592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 19 - 27) + -8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.257 or -9130?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -28811800 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m**2 - 24*m - 76. Let o be b(-3). Let n be 1*(-2 - -25)*1. Suppose 18*y = n*y - o. What is the remainder when 37 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885.\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 98*n**2 - 822*n + 7. What is the hundreds digit of d(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*a + 123*a + 140 = 2*l, -2*l + a = -125. What is the remainder when 249 is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q - 157*q - 106*q + 89*q - 109*q.\nAnswer: -327*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33187?\nAnswer: 7, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1929 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = s + 13, -12*b - s = -9*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - b - 108 = 0, 5*y + b + 0*b - 564 = 0. Let l = y + -112. Put l, 1, -26 in ascending order.\nAnswer: -26, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24950952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 1587, 5370, 12737, 24882?\nAnswer: 42999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.109.\nAnswer: 0.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16620256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/60*i**5 - 3\/2*i**3 + 1\/2*i**4 + 114*i**2 + 0 + 0*i. Calculate h(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16291*v + 16189*v + 6630 = 0 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, 96, 3, 50 in increasing order.\nAnswer: -4, -1, 2, 3, 50, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 70, 87, 120, 175?\n\"Answer: a**3 - a**2 + 3*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 + 318. Let y = -135 + i. Which is the second biggest value? (a) y (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*p + 1011052*c**3 + c**2 + 168980*c*p + 25*p wrt c.\nAnswer: 6*p + 6066312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 + -0.3. Let u = y - -3.58. Let h = 4 - u. What is the closest to 0 in 4, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - g**2 - g. Suppose 4*m + 9 = 3*r, -r - 27 = 2*m + 2*r. Suppose 20 - 1 = 2*n - 3*t, 5*n = -4*t + 13. Let z = m + n. What is w(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 2*h**2 - 9*h + 8. Let x be r(-6). Calculate the remainder when x\/(-5) + 14\/(-35) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 4 = -57*g - 514 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 135*u + 3807. Is n(90) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/14 and 91\/2318.\nAnswer: 16226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2403*k - 2421*k = 0. Is -1\/7287 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -6, 209?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -7*x - 66, 35*m - 3 = 4*x + 34*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -7) + -3 - (5 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -954634 divided by 7?\nAnswer: -954634\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166\/115 - 24\/23. Suppose -3*t + 713 = -5*i, -3*i + 2*i + 458 = 2*t. Let h = t - 2081\/9. Which is the second biggest value? (a) s (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 202604?\nAnswer: 1215624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1391443, 1391442, 1391441?\nAnswer: 1391440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*u**3 + 5*u + 20*u**3 + 2*u**4 + 4*u**2 - 3 - 67*u**3 to the form z*u + y*u**2 + p + t*u**4 + c*u**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 1162*p**5\/15 - 45*p**4 - p**3\/6 - 8093*p**2. What is the second derivative of t(y) wrt y?\nAnswer: 9296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - (-33)\/(-6))*10\/3. Suppose -f*j - 5*g + 610 = 0, j + 5*g - 46 = 96. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lti when three letters picked without replacement from {t: 2, i: 2, l: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v - 83 - 2*v - 2*v + 83 - 87342*v**3 + 87343*v**3. Let g(r) = -5*r**3 + 4*r - 2. Let s be (-3)\/12 - (-5)\/4. What is s*g(o) + 6*f(o)?\nAnswer: o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*w + 50, 2*w - 2*s = -4*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2. Let s(a) = -6*a**3 + 12*a**2 - a - 4. Let l(d) = -s(d) - 5*x(d). Let r be l(7). Calculate the highest common divisor of r and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 5.3. Let q = -194298 + 194303.00005. Let g = k + q. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 0, -20*a - w = -24*a + 2504. Is 56 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8523151.\nAnswer: 7, 13, 229, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 7:29 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -23 + 0*f**2 + 2\/3*f**3 - 17*f - 7\/18*f**4 - 1\/10*f**5. Let m(p) be the first derivative of n(p). Factor m(v).\nAnswer: -2*v*(v + 3)*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 6*l**2 + 87*l - 24. Determine j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 4*m**2 - 2*m - 2. Let y be 74\/10 - 6\/15. Suppose -5*b - 23 = -3*g, b + 5*g + y = -2*b. Let t be 6\/4 + (-2)\/b. What is i(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - k - 2394 = 3*t, -3*k = -2*t + 2386. Suppose -4*l + 5*y = -t, 0 = 3*l - 2*y - 666 - 235. Suppose 3*r - l = 146. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 12*r**3 + 8104*r**2 - 5428*r - 13520 = 0.\nAnswer: -676, -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17772 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**3*z**2 - t**3 - 14*t**2*z**2 - 16*t*z**2 - 6*z**2 wrt t.\nAnswer: -18*t*z**2 - 6*t - 28*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5\/(d**(-1)\/d) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-2 + 1)) + 1. Suppose -10 = -5*w - 5*x, -w - 2*x = 3*w + v. Is -3 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6298 (base 12) in base 8?\nAnswer: -25024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4 + 269*l**3 + 9747*l**2 + 90531*l - 100548 = 0. Calculate l.\nAnswer: -228, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f. Let g be r(-1). Is 130\/(-3)*g\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -6, -3, 8 in descending order.\nAnswer: 8, 5, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.325 + 0.325. Let l = 31 + -154\/5. Sort l, -5\/4, n, 0 in decreasing order.\nAnswer: l, 0, n, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 - -478. Let f(x) = -x**3 - 6*x**2 + 8*x + 6. Let s be f(-7). What is the third biggest value in s, 4, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + -12 + -14 + 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z**(-14))**11 assuming z is positive.\nAnswer: z**(-1199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((2 - -2) + 11 + -6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 8. Let h(n) = -100 - 2*n**2 - n**2 + 2*n**p. Let k be h(0). Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*y - 26. Suppose -7*g - 48 = -y. Let h be (-2)\/g - (-56)\/(-240). Sort 2, h, 5\/4 in descending order.\nAnswer: 2, 5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 46. Calculate the least common multiple of n(-9) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/126 + -23\/210. Let v = p + -1\/63. Factor -1\/5 + 0*u**3 + 2\/5*u**2 - v*u**4 + 0*u.\nAnswer: -(u - 1)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 887312, 887313, 887314, 887315, 887316, 887317?\n\"Answer: s + 887311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3174859 micrograms?\nAnswer: 317.4859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 380302556 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.177 - -0.023. Let r(w) = -w + 7. Let v be r(6). Let h be 14\/(-24) - v\/(-4). Which is the third smallest value? (a) -1 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4842 (base 12) to base 8\nAnswer: -17662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 12:42 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -19*o**2\/2 + 3*o + 16. Calculate the remainder when y(-1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4195691 plus 660?\nAnswer: 659.5804309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.195639 or -607?\nAnswer: 0.195639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -7 - 8\/(-1). Let x = -187 - -194. Sort o, x, -2, 5 in decreasing order.\nAnswer: x, 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, c: 2, m: 2, k: 1}. What is prob of picking 2 c and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(715\/22))\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -1053236.\nAnswer: 25277664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344*k - 664*k + 319*k + 272*k**2 to v*k**2 + y*k + r and give v.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 31 + 25. Solve k*a - 12 = -24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*r + 9 - 22, -r - 2*v - 14 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 2. Let x(j) = j - 2. Let g(u) = 2*r(u) - 3*x(u). Let z be g(-4). Solve -4*p + z = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o + 113*o + 40 = 11*d, 4*d = -o + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/6 + 8192*m. Let x(q) = -q**3 - 1. Give 6*u(h) - x(h).\nAnswer: h**3 + 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4116714 divided by -2?\nAnswer: -2058357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45*5\/(25\/2). What are the prime factors of i + -1 + 5 + -8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, 148, 417, 794, 1279?\n\"Answer: 54*j**2 - j - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 518768247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -0.5, -2\/13.\nAnswer: -2, -0.5, -2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 136. Let j(k) = 8*k**2 - 2*k + 1. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 + 342. Let x = 159.42 - v. Let u = -0.23 - x. Round u to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2*12\/(-8) + 15. Let x(n) = n - 9. Let h be x(c). Let v be 1 - h*(-4)\/12. Which is greater: v or 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - 121?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/45)\/((-37)\/(-74))*10.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q\/(q\/q**(8\/5)*q))\/(q*q**(2\/27)*q*q**(-10)))**33 assuming q is positive.\nAnswer: q**(23056\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let u(j) = -4*j + 6. Let t = 1071 - 1070. What is t*u(g) + 2*h(g)?\nAnswer: -2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 129*u - 12214. Calculate m(95).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 53*t + 575. Give z(17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 13 - (7 + (1 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4606 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 260 - 20 = 0. Calculate the least common multiple of j and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**2 - 1\/6*g**4 - 1\/3*g**3 - g + 1\/10*g**5 + 0. Let o be w(2). Solve -h = 4*r - o*r, -2*r + 6 = 2*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-8))\/((-9975)\/(-53200)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2576 and 3.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - -4) + (-16 - -1 - 7)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1215 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -25*x**2 + 8*x. Let t(m) = -4*m**2 + 2*m + 1. Calculate k(v) - 6*t(v).\nAnswer: -v**2 - 4*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85304*c - 85055*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4606, 9420, 14234?\nAnswer: 19048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 629, -7\/3, -7, 0.2, -2\/7 in increasing order.\nAnswer: -7, -7\/3, -2\/7, 0.2, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 45.8. Is -0.101 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/((-14)\/315). Solve 6*a - 17 = 2*o + a, -5*o + f = -a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + h - 3. Let n be d(0). Let o = n + 5. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12258529*c**3 + 22502*c**2 + 314*c?\nAnswer: -73551174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 35*o - 89. Let k be x(-32). Suppose f + k*f - 1784 = 0. Is f a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111 (base 2) in base 3?\nAnswer: -22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 578*n**2 + 592*n**2 + 4*n.\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 45.23. Let r = 89.55 + -89.05. Sort p, -0.2, r in decreasing order.\nAnswer: p, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3501, 6877, 10253, 13629, 17005?\n\"Answer: 3376*b + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0.3, 16, 2\/505, 121?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 4 + 3 - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 66, 170, 320, 516, 758?\n\"Answer: 23*o**2 - 11*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -229989 greater than or equal to -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2985 and 498080085.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**2\/2 - 15*s - 188. Give m(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -18\/75465487?\nAnswer: -18\/75465487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*420\/350?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-6))\/((-6292)\/858)*(-2)\/(-6)*64\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 19. Let n(q) = -13 - 42*q + 1 - 8*q**2 + 13*q + 23*q. Let g(m) = -7*m**2 - 5*m - 10. Let y(d) = 6*g(d) - 5*n(d). Determine r(y(z)).\nAnswer: 12*z**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -360*w + 806. Determine a(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 - 0.06. What is the nearest to -2 in 0, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let b(v) = -721*v + 22. Calculate b(a(t)).\nAnswer: -1442*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2\/8 + 507*m\/2 - 1008 = 0. What is m?\nAnswer: 4, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -j + 3*j. Suppose -2*b - 3*b = -j. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 1. Let r(z) = z. Let m(u) = -11*u**3 - 8*u**2 - 1 + 9*u + 12*u**3 - 2*u**2. Let d be m(9). Let k(h) = d*l(h) + 4*r(h). Differentiate k(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 + -235.1. Let f = 660.4 + -660. Which is the closest to 2? (a) f (b) 0.3 (c) 6\/11 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572 - -28857\nAnswer: 29429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/231 + -1147\/924. Put r, 2.2, 0.3, -1 in descending order.\nAnswer: 2.2, 0.3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 5*z - 7. Let j be l(-3). Let r be (((-27)\/54)\/(1\/38))\/j. Calculate the highest common factor of r and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a**4 + 0*a + 0*a**5 + 23*a**2 + 0*a**3 - 53\/6*a**6 - 3. What is the second derivative of q(j) wrt j?\nAnswer: -1060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:35 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 68*c**2\/5 + 578*c\/5.\nAnswer: 2*c*(c + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**4\/7 + 39472*w**3\/7 + 197812*w**2\/7 - 3476128*w\/7 + 8214336\/7 = 0.\nAnswer: -13, 4, 9873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*b - 25. Suppose -4 = 4*n - 3*t, -2*n + 16 = 5*t - 2*t. Solve b*w = -n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39629*f + 514949. What is h(13)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -65*i**4 + 4*i**3 - 1121*i**2 - 2*i - 2. Let z(p) = p**4 - p**3 + p + 1. Let v(h) = j(h) + 2*z(h). Find the third derivative of v(r) wrt r.\nAnswer: -1512*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 50 = -y + 3*y, y + b = 23. What is the least common multiple of y and ((-6930)\/49)\/5*14\/(-3)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(2100)*-2)\/((sqrt(56)\/sqrt(2))\/sqrt(4) + sqrt(7)))**2 + -2)*-2.\nAnswer: -646 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*u - 12 = -x, -x - 6 = 2*u. Solve -4*k - k - 15 = x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 - 3 = 0. Let z(r) = -15*r + 11. Let i(n) = 4*n - 3. Suppose -26 = u + 4*b, -4*b + b - 47 = 2*u. Let s(j) = u*i(j) - 6*z(j). Determine s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281670*n + 88258*n - 83056*n.\nAnswer: 286872*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 k when four letters picked without replacement from rrsktnht.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4, -3 in ascending order.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 531 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 282764*m**4 + 4997076092*m**3 - 4997641628*m**2 - 4997076096*m + 4997358864 = 0 for m.\nAnswer: -35346, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 1, -13982\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 662 + 34*a + 3*a**2 - 662 + (-a - 2 + 0 + 3)*(-2*a + 0*a + 3*a).\nAnswer: 2*a**2 + 35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 314. What is the common denominator of (t\/(-22) - -3) + 1 and 93\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:55 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 8 + 14)*(-4 + 4 + 2*i**2).\nAnswer: 124*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Suppose -i = f*x - 7, -3*i = x + 3*x - 17. Suppose -4*h - 4 = -x*l, -5*l - 5*h + 2*h = -23. Solve 0 + l = -5*t + 2*u, 0 = 3*t + u - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = 3*f - 4, 0 = -2*f + 2*b + 14. Solve 0 = z - f - 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 89.8, 8.\nAnswer: -3, 8, 89.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -t - 5*s + 391, 0 = 2*t + 4*s - 1260. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497303001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360283\/(-14037))\/((-1)\/(-3))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:20 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*x\/x**(-1))\/x)\/x*x)*x)**(-8\/7)\/(x*x**(-2\/3)*x*x)**32)**(2\/29) assuming x is positive.\nAnswer: x**(-448\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11 = -2*k + 1, 3*k + 17 = -4*f. Let z(r) = -13 + 3*r**2 + 7*r - r + 4. Calculate the remainder when z(f) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 + 3\/20*l**5 - 3*l**2 + 0*l**4 - 3\/2*l**3 - 2*l. Solve f(h) = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 507419 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 643 + 2?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (3 + 41 + 16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c. Let q(r) = 6*r. Let m(v) = -v - 3. Let d be m(0). Let a(y) = 5*y. Let l(b) = d*q(b) + 4*a(b). What is l(g(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77bb (base 12) to base 7.\nAnswer: -53423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 24. Let x = 1387366815 - 1387366720.0000039. Let k = a + x. Round k to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*d + 15, 2*w + 3 - 9 = -4*d. Suppose -s + 18 = -b - 6, d*b + 53 = 2*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5\/116 (b) 3 (c) -1553 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -37*u. Let r(z) be the first derivative of -15*z**2\/2 - 3*z + 1707. What is r(j(k))?\nAnswer: 555*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277594 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 49 - ((8 - (17 - -4) - -6) + 14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j - 149. Let l be i(9). Let r = -4 + 8. Let y be r\/2 + -1 - 1. Solve 0 = -l*n - y*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 109, 163, 217?\n\"Answer: 54*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -110011111010101101?\nAnswer: -110011111010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 28*n + 173. Let g be t(-5). Solve 6*r + 10 + g = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 - -15808781.09.\nAnswer: 15808944.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*x - 11, 0*b - 13 = -5*x - 4*b. Let q(s) = x - 3*s + 4*s + 5. Determine q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*((1 + sqrt(176) + sqrt(176) + -4 + sqrt(176) + -3 + -2*sqrt(176) + sqrt(176))**2 + (-4*(sqrt(176) + 1) + 4)**2 + -3)*2.\nAnswer: -42636 + 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 + 2. Let r(j) = -4*j**2 + 4*j - 5. Let f(l) = 3*l**2 - 3*l + 4. Let s(x) = -5*f(x) - 4*r(x). Let a be s(2). Calculate i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100605.03ms in minutes?\nAnswer: 1.6767505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*x**2 - 217*x + 217*x + 2 - 725*x**2 to the form q + y*x + c*x**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101865\/4 > 25466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 38*t**2. Let x(w) = -499478*w. Give h(x(s)).\nAnswer: 9480174354392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/(-2))\/(18\/(-180)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 55*u + 2. Is 25 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -167, -244, -307, -350, -367, -352, -299?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-11 + (-9 - 2))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 2. Let p be 2\/5 - 16\/(-10). Let l be t(p). Let h(q) = -q - 3. Is 6 a factor of h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1286 + -1221. Suppose -55*v = -175 + i. Determine r, given that -4\/11*r**3 + 4\/11*r**v + 7\/11*r + 2\/11 = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose 21 = -5*i - 4*x - 7, -x = -c*i - 6. Let m(g) = -2*g - 1 + g - 7 - 1. Calculate m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*d**2 - 187*d**2 + 1045*d**2.\nAnswer: 999*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8188133 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42215802 to the power of 1\/2, to the nearest integer?\nAnswer: 6497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/38 - -97\/114. Which is the nearest to 2\/3? (a) 0.2 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + (-4 - 8) + -6 + 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2900997587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -31. Suppose -g = g - z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/58 - -131\/870. Factor -4\/15*p**2 + 0 - c*p**3 + 0*p.\nAnswer: -2*p**2*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 814\/1452*(-3)\/33 and -63\/2?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 6. Let k be x(6). Let t = -159 - -162. Let j(y) = -y**2 + 5*y - 2. Let u be j(4). Solve t*r - 2*r - 3 = 0, k = h - u*r + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (288\/(-90))\/(2\/(-335)). Suppose 0 = -h - h + j. Suppose 10*u = 32 + h. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -691, -1102, -1525, -1966, -2431?\n\"Answer: -v**3 - 404*v - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10077, 2, -1, -3, -14 in decreasing order.\nAnswer: 2, -1, -3, -14, -10077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 406\/27, 5, 3\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18))\/(2\/(-24))*(-6)\/(-16)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0446? (a) -1\/8 (b) 7 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.12754 and -3.16?\nAnswer: 2.03246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/24 and (-8)\/(-1) - 3783\/(-416)*-1.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -3\/8 (c) 31 (d) 65716\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3)\/((-6)\/12). Let i be 1 - (3 - 3) - 0. Suppose -18*k = -9*k + 45. Sort i, h, k in increasing order.\nAnswer: k, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*-3*sqrt(325))**2)*6.\nAnswer: 280824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 + 4 - 4)*(-147*v**2 + 53*v**2 + 25*v**2).\nAnswer: -690*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n + 18 = 0. What are the prime factors of 6\/(-12) - n\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -203. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -44*y + 49*y. Suppose -2 = -o + 5*a - y, 4*o + 2*a = 84. Find the third derivative of -2*v**3 - 38*v**2 - o*v**3 + 9*v**2 + v**2 wrt v.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(400) + sqrt(25))*-6 - sqrt(25)) + (sqrt(25) - (sqrt(3025) + (sqrt(3025) - -2*sqrt(3025)))))\/(sqrt(25)\/(-2*sqrt(5)) - -2*sqrt(5)*1).\nAnswer: 296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttbstisbjsbstb. What is prob of sequence tit?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7130 divide 757074540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 187469645 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:33 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - b + 0*b + (-2 + 5 - 4)*(-3*b + b + 4*b) - 2*b - 2*b + 3*b - 10366*b + 4835*b + 5119*b to the form g + r*b and give r.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24598 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 280*l**2 - 1168*l - 1184.\nAnswer: 4*(l - 74)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 1, 11, -2\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231411 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Let b(d) = -16*d + 715. Calculate 5*a(r) - b(r).\nAnswer: r - 715","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -458, 0, 624, 1414, 2370?\n\"Answer: 83*a**2 + 209*a - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 2, -38917, 10, 1\/26?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -614.998 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 3*b - 4*b)*(8336 + 144*b - 8330 + 460*b) to k*b + j*b**2 + h and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 n, and 1 x when three letters picked without replacement from snxqn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 - 2*p + 5. Determine o(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4504*l**3*m**3*q + 5*l**3*q + 2*l**2*m**3 + l**2*q - 2*l*q + 8*m*q wrt l.\nAnswer: -27024*m**3*q + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let u be 2*(n + (2 - -15)). Suppose -2*i = x + 3*x - u, -5 = -x + 2*i. Calculate the lowest common multiple of x and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 34. Let a be h(-8). Suppose -a = q - 35. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 461*w**2 + 7 - 1 + 263*w**2 + 231*w**2.\nAnswer: 33*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2496237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*q - 3*q - 25 = 0, -5*q + 9 = -2*j. Let l(w) = 54*w**2 - 1674*w + 32. Calculate the least common multiple of l(31) and 38\/j + 10\/40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46334998 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from ooooovovoooo?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-6 + (-5 - -2))) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -47 - (-9 - 2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.31 to 0 decimal places.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 272\/(-20) - (-2)\/(-5). Let s = t + 26. Solve -g + s = g - 2*x, -2*x = -4*g + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (14 + -2)\/3. Suppose d + 33 = 5*o, d + 4*o + 0*o - n = 0. Let y(b) = -2*b - 21. Let m be y(d). Solve 0 = f, -m*f + 6 = 4*p - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000100 - 10001100110110111111?\nAnswer: -10001100110000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - (-3 - (-670)\/(-6)). Let s = 67 + u. Find the third derivative of 182*m**3 - s*m**3 - 7*m**2 + 23*m**5 - m**2 wrt m.\nAnswer: 1380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 u, and 1 f when four letters picked without replacement from {x: 7, u: 1, a: 2, f: 8}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/28080 and -209\/4430790.\nAnswer: 106338960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 39 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vev when three letters picked without replacement from vfetrrvaa?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -68815?\nAnswer: -68820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6015)\/(-135) + (6 - 150\/27). Calculate the highest common divisor of 60 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, -2, -1 in ascending order.\nAnswer: -43, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(-29 + 11)\/(-2). Suppose -3*x = 18 + 9. Is x <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -39. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/((f*f**(1\/4)\/f)\/f*f)))**33\/((f\/f**(-1))\/f)**(-6))\/((f**(-2))**(5\/7))**14 assuming f is positive.\nAnswer: f**(269\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*c + 3, 3*i + 5 = 2*i. What are the prime factors of ((-34)\/(-51))\/(-2*c\/2862)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2564 + 2566. Solve 0 = 2*p + 2*u, -7*p + q*p = -u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16108*s**3 - 20531*s**3 + 33816*s**3.\nAnswer: -2823*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/35)\/((-14)\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56490 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*n**4 - 682*n + 800*n - 8 + n**2 - 3*n**2 + 37*n**4 to s*n**4 + k*n + z*n**3 + b + h*n**2 and give k.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-84) + 2566\/(-14)*-1.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 34. Let a(g) = g**3 + 4*g**2 + 2*g + 4. Let b be a(k). What is b rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 38 = 3*f, -20 = -2*f - 4*r. Do 12 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2768 = 304*u + 418 - 2045 - 1381 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25233766 = -235*d - 105*d - 4642686. List the prime factors of d.\nAnswer: 2, 107, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -4 - (-3 - -2). Let a(n) be the first derivative of 4*n + 10 - 1\/2*n**2. Give a(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:20 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-332)\/(-24) + (-3)\/6 and -109\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/144 and -11\/1629024.\nAnswer: 4887072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28235092.\nAnswer: 2, 1861, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2312.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443925899?\nAnswer: 19, 23364521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/32*(-78120)\/18445\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from xpwtffpw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*q - 87*q - 62*q**2.\nAnswer: -62*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 543619692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -29947443.21 to the nearest one hundred thousand.\nAnswer: -29900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*w - 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 9\/201395488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -4*f + 1\/6*f**3 + 1\/12*f**4 + 0 + 0*f**2. Let x(l) = -2*l**2 - l - 1. Let u be x(-1). Give m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*v - 17, 6*v - 1564*u + 1593*u + 243 - 12 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1502.9 - -1443. Round l to 0 decimal places.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 2:19 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313202210 + -1012?\nAnswer: 313201132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12.1. Let a = 2.03 + -0.03. Let w = 4.5 + -4. What is the nearest to o in w, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 3. Let u be x(0). What is the units digit of (2 - u) + -2 - -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465413 is divided by 488433.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 - 6*o**2 + o**2 - o**3 + 1 + 2. Let v be t(0). Suppose 0*n + v*n = 12. Solve 0 = 4*x - 0*j + j + 11, -19 = 5*x - n*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2, j: 3, o: 6, x: 2}. Give prob of sequence ojt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33799.\nAnswer: 73, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-30))\/((-1)\/3) - 3. Let d be r - (-2 - (1 + -3)) - -83604. Round d to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -40*o + 41. Let u be y(12). Let k = -16 - u. What are the prime factors of k?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 23 = -l - 21 - 23 + 57, 58 = -4*l + g for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -9*d + 25*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uoquixk. What is prob of sequence qiku?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14861*c**3 + 14868*c**3 - 29733*c**3 + 0.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**3\/2 - 2*u**2 + u. Let n(b) be the second derivative of -b**4\/6 + 5*b - 41. Determine j(n(h)).\nAnswer: 6*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/2))**31*(((x\/x**(-2\/13))\/x)\/x*x)\/(x*x**5) assuming x is positive.\nAnswer: x**(1057\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 94*(6\/(-3))\/(-2). Find the second derivative of -v*s + 3 + 51*s - 50*s**4 + 51*s wrt s.\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/19))\/(m\/((m*m**(11\/8)*m)\/m)*m) assuming m is positive.\nAnswer: m**(193\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 1. Let b = k - -4.3. Let c = -0.346 + b. What is c rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 54, -23496, 5 in descending order.\nAnswer: 54, 5, -2, -23496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 11*i**5\/60 + i**2. Let d(l) be the second derivative of l**3\/6 + 3*l. Calculate d(r(v)).\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.37635 plus 0?\nAnswer: -30.37635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2\/3 + 64*c - 860\/3 = 0. What is c?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/((-2925)\/18) + 260\/125 + 1. Let k(l) = l - 3. Suppose f - 6*f + 40 = 0. Let g be k(f). Solve n*w = 2*w + g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80dad (base 15) in base 2?\nAnswer: 1100011101000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l = -i + 229807, -i + 4*l + 229806 = 0. Let m = -148949 + 139. Let c = m + i. Round c to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/2340 + b**5\/390 + b**4\/156 + b**3\/3 + 6*b. Let o(q) be the second derivative of f(q). Factor o(y).\nAnswer: 2*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:41 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 22*x**2 + 5*x + 5. Let b(c) = -11*c**2 - 3*c - 3. Let o = -13687 + 13692. Determine o*b(w) + 3*v(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 6:01 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1993170 - 8178215\nAnswer: -10171385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -29*a**2 + 7*a - 7. Let k(j) = 57*j**2 - 15*j + 15. Let n(d) = -13*b(d) - 6*k(d). Let w = -1 - -2. Is n(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21515 is divided by 7171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 19*r = -15, -5 = 5*l + 15385*r - 15384*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 66902*b + 200715.\nAnswer: -(b - 3)*(b + 66905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/84*(-5)\/(5\/(-2)). Suppose g*z + 5*o = 23, 4*o + 11 = 5*z + 22. Put -5, -17, z in descending order.\nAnswer: z, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487 - 415 = -9*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -587443236 divided by -4\nAnswer: 146860809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345 + -341. Let p(z) = -2*z - 3. Let h be p(-4). Suppose 2*x - 47 - 61 = -d*u, h*x + 150 = 5*u. What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357 + 360. Which is the third smallest value? (a) 2\/7 (b) l (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 1, g: 2, z: 2, u: 1}. What is prob of sequence kgk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 234189?\nAnswer: 1170945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 2*k**2 + 48*k + 3. Let a(d) = 3*d**3 + 4*d**2 + 43*d + 4. What is 2*a(z) - 3*l(z)?\nAnswer: -6*z**3 + 2*z**2 - 58*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137.93707 + 0.01293. Let i = o - 141. Let k = i - -0.05. Which is the closest to 0.1? (a) -1 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16298755 to the power of 1\/2, to the nearest integer?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let h(r) = -r**3 + 4*r**2 - 2*r + 1. Let a be h(p). Let w(f) = -f**3 + 5*f**2 + 5. Calculate w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78815 (base 9) to base 15\nAnswer: 107eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-4)\/14))\/((1\/(-28))\/(48\/(-168)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3.6, 4\/5, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26631, 53250, 79869, 106488, 133107?\nAnswer: 159726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526, 996, 1454, 1894, 2310, 2696, 3046?\nAnswer: 3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11591 is divided by 148?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiyt when four letters picked without replacement from {y: 1, t: 4, i: 5, p: 1, v: 3}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681095307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 127)\/(-1) + -1. Let d = 206 - f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:52 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-60)*((-7)\/14)\/((-10)\/12)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-2.564497.\nAnswer: 1.5386982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216.1 - -216.1. Which is the second biggest value? (a) 56 (b) 1 (c) q (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -22, -79, -170, -301, -478?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**3 + 4*f**2 - 2*f - 11. Let i be k(4). Let q = 754 - i. Solve -6*n - 55 = q*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**5\/3 + a**4\/2 - 23*a**3\/3 - a**2\/2 + 19*a\/3 = 0.\nAnswer: -19\/8, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -1.9.\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - -183. Suppose 737 = 3*o - n. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36 and -70\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 4*c - 9 + 3, -4*n = -3*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5040)\/(-54720))\/((-21)\/(-120))?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181840157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1825, 2305, 3101, 4213?\n\"Answer: 158*v**2 + 6*v + 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -2*l - 334, 2*l = 5*j - 340. Is l\/10*10\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.7 - -6.7. What is the third biggest value in -0.5, 0, -4\/3, a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 - 27*a - 120. Is 7 a factor of v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 7*d**2 - d - 8. Let y be f(-7). Let c(l) = 6*l**2 - 1. Calculate c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 9:00 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8468 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**3 - 3*m**4 - 2*m**3 - m**3.\nAnswer: -3*m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = -2*g. Let s be 49 + (1 - (g - 2)). What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*6\/4)\/((-3663)\/7326)*(-41)\/(-1)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244363477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**3 - 9*q**2 - 1090*q + 312.\nAnswer: (q - 13)*(q + 12)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (132\/64 + -2)*(-14)\/(-70). Let d(b) be the second derivative of 5\/48*b**4 - 2*b + 3\/8*b**2 + 0 - y*b**5 - 7\/24*b**3. Let d(c) = 0. What is c?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 49. Find the common denominator of 4\/b*7\/(-28) and -59\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 4:03 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 52*a**2 + 3 - 610*a.\nAnswer: -52*a**2 - 610*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = 5*y, 20 = 3*q - 4*y + 3. Suppose q*x - 3*i = 0, -i - 4 = 2*x + 5. Let p be ((-2)\/(-4))\/(x\/(-6)). Which is smaller: -2\/51 or p?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, a: 2, g: 4, j: 1}. Give prob of sequence zg.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -3*c + 0*c**5 - 1\/2*c**2 + 0*c**4 + 0 + 0*c**3 + 1\/30*c**6. What is the first derivative of u(g) wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**5*d*d\/(d*d*(d\/d**(7\/6))\/d*d)*d)**(-34))**(-2\/147))**(-1\/38) assuming d is positive.\nAnswer: d**(289\/8379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 18033297400 to the nearest one million.\nAnswer: 18033000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a8 + 2?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2555*x + 2549*x - 138. Put x, -4, 0, -3 in decreasing order.\nAnswer: 0, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f**3 + 71*f - 1 + 16*f**4 - 14*f**4 - 71*f to d + y*f**3 + t*f**4 + r*f**2 + b*f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - w = 13, -4*l + 0*l + 5*w + 23 = 0. Let h = 3 + -1. Let d be (-3)\/h*4\/(-18). Which is the second smallest value? (a) l (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z + 17. Let a be j(-4). Suppose -83 + 58 = -a*o. Let b be -1 - -1 - (-4 - 2). Solve 0 = -2*r + o*r + b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 2*l - 104 = 6*l, -6*i + 21 = l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 + 2*x**2 - 2*x + 11. Give k(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.124? (a) -1\/4 (b) 3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113202 (base 4) in base 2?\nAnswer: -11010111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 17*w + 15. Determine p(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 50. Let x(r) = r**3 - 11*r**2 + 2*r - 13. What is the units digit of x(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 85*m**3 + 145*m**2 wrt m?\nAnswer: 60*m**2 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010110 - -11011100101?\nAnswer: 100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 5*g - 9. Give f(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3120 (base 5) to base 13\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -1500847?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14028 + 14021. Which is bigger: o or -472?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**6\/15 + 4*q**2 + 7*q. Differentiate k(x) with respect to x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 32*g - 3*g. Suppose -2*f - 5*v - 10 = g, -f - 2*v - 4 = -0*v. Solve f = 9*t - 13*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 5, i: 1, t: 8, g: 4}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 630 - 560202?\nAnswer: -556242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqaaa. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -323*t**6\/30 + 19*t**4\/8 - 5*t**3\/3 - t**2 - 290*t. What is the second derivative of f(g) wrt g?\nAnswer: -7752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 172 + 486 = 2*h, r = 3*h + 153. Suppose 3*f - r = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/105 and 53\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjwytkk. What is prob of picking 2 j and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/3 - 11*j**2. Let k(c) = 4*c**2. Determine f(k(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.11 - 32. Let y = -0.58 + n. What is the second biggest value in 0.1, y, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4108, 2851, 1594, 337?\n\"Answer: -1257*u + 5365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 15) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1232)\/33)\/14*-3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496655 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 23 = 5*v, -2*k = -4*k + v + 10. Suppose k*t + 2*r - 538 = 0, 5*t - 2*r - 77 = 809. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6548*c - 553*c - 210*c - 92560 = 0 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w**2 - 3*w**2 + w**2)*(5*w - 3*w - 4*w) + 0*w**3 + w**3 - 2*w**3)*(w + 2 + 38 + 2*w**2 - 2).\nAnswer: 6*w**5 + 3*w**4 + 114*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350163.56 rounded to the nearest one hundred?\nAnswer: 1350200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -141*i**2 - 25522*i - 177. Give s(-181).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -15, 0.2, 1 in descending order.\nAnswer: 1, 0.2, -0.4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84932 - 19*g - 84139 - g.\nAnswer: -20*g + 793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*322.856.\nAnswer: 1937.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.8, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 4. Let m = 18 - z. Is -5*-47*2\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6929 + -6926. Factor 0 - 4\/3*c - 5\/3*c**2 - 1\/3*c**n.\nAnswer: -c*(c + 1)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 4 - 13 + 167809*c - 9 - 167809*c.\nAnswer: 4*c**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2503883?\nAnswer: 2503883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829245260 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:14 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g, -d + 0*g + 5 = 4*g. Let n be (-168)\/8*10\/d. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1\/18)))\/(n*n**(6\/7))*((n\/(n*n**(2\/47)))\/n)**0 assuming n is positive.\nAnswer: n**(-241\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-11))\/k*k*k)*k\/(k*k*k*k*k**(-2))*k)**(-26)\/((k**(-2\/15)\/((k*k\/(k**(-2\/17)*k*k))\/k))\/(k**5\/k**2)) assuming k is positive.\nAnswer: k**(80134\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - 66 - 430 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-456)\/(-27) + (1 - (-32)\/(-36)). Let m(l) = -28*l. Let d be m(-1). Solve 4*z = 3*k + k + d, -4*z = 5*k + v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + -11 + (58 + 23 - 0) + 8.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915810?\nAnswer: 2, 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**6\/6 + f**3\/3 + 22*f**2 - 14. Find the second derivative of s(t) wrt t.\nAnswer: -20*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1635656, 15, -5 in increasing order.\nAnswer: -5, 15, 1635656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from vivxgivxfgficv.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzyyjzzryzzyybjyry. Give prob of sequence yjbz.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 + 5*z - 2. Let x be (0 - 2)*3*(-4)\/6. Give w(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*q**2 - 25*q**2 + 4 - 2*q**2 + 6 + 0*q**2.\nAnswer: 2*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + -15 - 2340\/4. Let v = 2934\/5 + r. Let -4\/5*m**4 + 0 - v*m + 4\/5*m**3 + 4\/5*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -35, -87, -159, -251?\n\"Answer: -10*g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5053 - 25267\/5. What is the biggest value in -0.3, 0.1, 1\/3, -5\/2, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.63 - -16.33. Which is the closest to 1? (a) 18 (b) -4 (c) y (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-7) + (-3)\/21. Suppose f = -u - 0*u + 400000. Round u to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.2 (c) 3 (d) 152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2 - 403*k + 83. Calculate a(40).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 553*s + 4967. What is w(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -130416 * -0.1\nAnswer: 13041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262590039 or 262590038?\nAnswer: 262590039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by (((-4026)\/18)\/11)\/((-4)\/12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2137936656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 597, 1175, 1739, 2283, 2801, 3287, 3735?\nAnswer: 4139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 6) to base 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393 + 14. Suppose -107 = 25*u - p. Solve -u*f + 8*f - 16 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t + 8. Let y be a(0). Suppose c + 20 = k - 4*c, k - 2*c = y. Solve k = 2*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -9) + -9 + (-15 - -11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-34\/5)\/l)\/l)**10\/((l*l**(-4))\/(l*l\/l**14)))**19 assuming l is positive.\nAnswer: l**(-1843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -8299285588?\nAnswer: -8299285581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72695 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -66 + 18 + 0*h - 8*h + 3*h + 43. Let j(b) = 1. Give -5*j(n) - u(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -1\/12*w**4 - 5*w**2 + 0*w + 0*w**3 - 8. Let a(n) = -92*n. Give a(t(q)).\nAnswer: 184*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69466d7 - 3?\nAnswer: -69466da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 2, 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5968551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(243))**2*4 - sqrt(21)\/(-1*sqrt(567)).\nAnswer: sqrt(3)\/9 + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let z(r) = 342*r + 235*r + 334*r - 219*r. Determine t(z(h)).\nAnswer: -692*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -s, -3 = -3*s + t + 13. Suppose -27 = 4*p - 7*p + 2*j, 2*j = s. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(35)\/sqrt(7) + 5))**2.\nAnswer: 360*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31178\/1572*36\/21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 5*n**2 + 2*n - 7. Suppose -2*k - 2*k + 20 = 0. Let x be p(k). Solve -x*b + 2*b + 21 = 5*i, 16 = -4*b + 5*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105.80850454 + -0.5\nAnswer: -106.30850454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15\/2935201?\nAnswer: -15\/2935201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-45)\/(d*d**(1\/2)*d)**(-1\/12) assuming d is positive.\nAnswer: d**(-2125\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*u - 260 + 58, 5*m + 539 = -4*u. Let d = m - -196. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-1 + 4) - 1 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2280.3 + -2281.3. Is j greater than or equal to 10980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-6*(sqrt(88) + sqrt(88) + -2*sqrt(88)))\/(-4*(sqrt(512) + 1*sqrt(512)) + sqrt(512)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139841641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:44 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 29.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 13*b**2 - 213*b + 54.\nAnswer: (b - 9)*(b + 6)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -4*a + 2*p + 3*p, -4*p + 58 = -2*a. Let b = -3892 - -3852. Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80937*o**2*v**3 - 145*o**2*v + 659*o*v**2 - 47*v**3 + v**2 - 2*v wrt v.\nAnswer: -485622*o**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 10 = -v + 15*z, -z - 28 = 5*v. Let i = 0.1 + -0.2. Let y = -1.1 - i. Which is the nearest to y? (a) -0.5 (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 49, 19, 20, 8 in descending order.\nAnswer: 49, 20, 19, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and -0.0045.\nAnswer: 13.9955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((sqrt(1080) - (sqrt(1080) + sqrt(1080)*-1)) + sqrt(1080))\/(sqrt(6) - 1*(sqrt(6) + sqrt(18)\/sqrt(3))).\nAnswer: -12*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c*g**4*w**3 - 2*c*g**2*w**2 + 1196*c*w + 1192*g**4*w**2 + 3*g*w**3 wrt g.\nAnswer: 144*c*g*w**3 + 28608*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 164.93 (b) 5 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 64424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -7.3. Let c = f + -0.4. What is the second biggest value in 0.5, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)\/((-7)\/(-70)). Let d be 9\/6*u\/30. Which is the nearest to d? (a) 2 (b) 2\/17 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -301, -299, -297, -295?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-8)\/(-96)*-2). Let k(r) = 2 + 0 - 6*r**2 + 2357*r**h - 5*r - 2358*r**3. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-1\/13)*r*r*r**(-1\/3)\/r*r*r)**(-1\/39)*(r**(-4\/7)\/r**(3\/2))\/((r**(-1\/5)*r)\/r*r**(2\/15)) assuming r is positive.\nAnswer: r**(-228707\/106470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 7 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**3 + 28*r**3 + 62*r**3.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h - 23. Let r = -25 + 17. Let w be u(r). Let a = w - 19. What is the remainder when a is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/3 + 18*u**3 - 332*u**2\/3 - 128*u.\nAnswer: 2*u*(u - 6)*(u + 1)*(u + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12 + 1 + z**2 - 18 - 2 - 4*z. Let n be b(8). Let c be (-2)\/4*70\/(-75). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/168 - 2*w**7\/105 - w**6\/60 - 2*w**2. Factor g(y).\nAnswer: -2*y**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268 + 286. Suppose 0 = b*k + 5*k - 184. Solve -20 = k*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 8. Let q be h(11). Suppose -10 = r + 2*o, 4*r + 15 = -5*o - q. Let x(z) = z**2 + 8*z + 6. What are the prime factors of x(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -5*k, 5*i - 7 - 7 = 2*k. List the prime factors of 1044\/(-27)*k\/(-2)*2.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b2b (base 16) to base 13\nAnswer: 89b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 21. Let m be c(-6). Let k = 2 - -2. Sort k, 2, m in descending order.\nAnswer: k, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a + 47 - 96 + 49.\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 3*z = -25*f - 9, -2*z - 22 = -4*f. Let a(x) = 2*x. Let p(q) = -25*q. What is f*p(b) + 40*a(b)?\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(1400\/294))\/(21\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 - -5 - (-3 - -15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:11 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 195.39154054?\nAnswer: 191.39154054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -35*d + 8. Let t be p(-6). Suppose -547 = 10*g - 11*g. Let w = g - t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 9*o - 2. Let i(g) = -g**2 + g. Give 2*i(y) + r(y).\nAnswer: 2*y**2 - 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 27 = -24. Is 1\/12 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(0 + 70*b**2 + 1 - 222*b**2) as k + g*b + t*b**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*v + 66, 3*o = 2*o + 2*v + 18. Let r(h) = h**3 + 7*h**2 + 14*h + 30. Let b be r(-6). Let u = b + o. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107418*c**5 + c**2 + 1196707*c?\nAnswer: 2148360*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v - 9. Let c(r) = 8*r - 11. Let b be 250\/(-625) + (-44)\/(-10). Let p(s) = b*j(s) - 3*c(s). Let l be (3\/5)\/(1\/5). Give p(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2341820 and 21544744.\nAnswer: 107723720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*b - 24500 = 905*b + 953*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60964 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*j**3 + 160*j**3 - 93*j**3.\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2820572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/85 (b) 3 (c) -0.1 (d) 2\/5 (e) -150 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 25*l + 489. Let v be w(38). What is the nearest to 1 in -49, -1\/4, v, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6430386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 939926 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aglqt. What is prob of sequence la?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34196499 and 24.\nAnswer: 273571992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + g = 2*u + 3, 4*u - 13 = 5*g. Suppose -5 + 31 = 3*a - 5*y, a - u*y = 8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-3 + (-9)\/(-2)). Suppose 3*m + 12 = 3. Let g = m - b. Solve -3*t + 8*t - 25 = g, t = 4*i + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 - 4*p + 5*p - 1. Let g be r(5). What is the third derivative of 2*c**2 - 5*c**4 - 4*c**g + 4*c**4 wrt c?\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w + 2. Let y(t) = -26*t + 7. Let c(l) = -7*o(l) + 2*y(l). Let m(q) = q. Determine c(m(i)).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 3. Let w = 92 + -80. Let l be (4\/w)\/(6\/(-54)). Give j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/13136 and 71\/10925868?\nAnswer: 43703472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 560111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10220 > 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1 + (-5)\/1. Suppose -4*l - 188 = 2*a + 68, l = -1. Let p be (-42)\/a - ((-166)\/(-30))\/1. What is the biggest value in -0.2, p, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8217172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -17*x - 8*x - x + 31*x - 6*x. Let h(f) = 20*f**2 - 4*f. Determine s(h(j)).\nAnswer: -20*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 at most as big as -405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*y + 28*y = -3772. Let b be 5\/(-5)*(-322)\/1. What is the highest common divisor of b and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134*459\/2972790)\/(18\/(-10))?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -10 + 20 + 7 - 16?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*o)\/((o\/(o**(-1\/4)\/o))\/o))\/(o**(3\/7)*o*o*o*(o\/o**(-2\/9))\/o) assuming o is positive.\nAnswer: o**(-2747\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14170 + 44987. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((27\/4)\/((-12)\/4)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 11 = 5*f, -1 = -5*f - 2*h + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5667767?\nAnswer: 7, 53, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 22 = 3*d + 15, 4*f - d + 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45068 is divided by 3224?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 3*p + 25, 9*g + 2*p = -28862 + 28858 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3600 + 5887. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8376*s**3 - 5*s**2 - 85423 wrt s.\nAnswer: 25128*s**2 - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 9. Suppose 2*d - 3*d - 5 = 5*z, -z - 1 = -4*d. List the prime factors of -2 - z - f\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g + 1. Let j be (-130)\/35 - (8\/(-14))\/(-2). Let r be w(j). Suppose 3*d = -d - r*p + 3687, 3*p = -3. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 5:09 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-528)\/(-40))\/(4\/10). Let x be -2 + -1 - -3*u. Calculate the highest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 3*b - 24 + (3*b + 0*b - 5*b)*(-1 + 0 - 1) - 40*b - 78*b + 49*b.\nAnswer: -62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12c - -d1?\nAnswer: 1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z + z**2 + z**3 - 2 + 2*z**3 + 7950*z**4 - 7949*z**4 as o*z**3 + j*z**2 + u*z + t + k*z**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((12 - 14) + -19)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-877286)\/(-15958) + 60\/2370\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-3) + (-2)\/(-6). Let j = 10 + g. Solve -3*a = j - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/10 + 24*h\/5 - 64\/5.\nAnswer: -(h - 4)**2*(h + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-122)\/(-8) - 1)\/(50\/200). Suppose j - 5*j = -228. Calculate the highest common factor of d and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 1. Let a be t(4). Suppose 0*v - v = -a. Solve 0 = 5*p + 31 - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 20307780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(9\/6)\/(6\/(-4)). Suppose -6*q = c*q. Let l(o) = q + o**2 + 0*o**2 - 1 + 0 - o. Let n(p) = 2*p + 2. Calculate 2*l(x) + n(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 2\/3*z**3 + 69*z + 0 + 0*z**2. Let a(o) = -7*o. Give a(j(r)).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, i: 3, q: 3, x: 1, m: 3}. What is prob of sequence qx?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 5 + 4*z - 7 - 3*z**2. Let p be ((-3)\/2)\/(1\/34). Let a(w) = -381 + 17*w - 25*w**2 + 730 - 366. Give p*q(m) + 6*a(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*o**2 + 2*o**2 - 7*o**2 - 104439*o**3 + 104581*o**3 as y*o**2 + s*o**3 + r + f*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 2*k. Let h be w(1). Suppose -22 + h = 9*l. Which is the closest to 2? (a) 0.4 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) + 2*sqrt(616) + sqrt(616) + sqrt(616))\/sqrt(11))\/sqrt(8) + sqrt(70)\/(-2*sqrt(10)*-1) + 0 + -2.\nAnswer: -2 + 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f + 5. Suppose 0 = l + 4*l - 25. Suppose 2*g + 4*h = g + 20, -5*g = -h + l. Solve g = -3*i - f*t - 32, 0 = -3*i - 0*t + t - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 6) + 16\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-132)\/24*2 - -516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(270\/(-522)) + (-5 - 9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, g: 2, l: 2, o: 1, f: 1}. What is prob of sequence lfog?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.6, -9.655 in descending order.\nAnswer: 4\/7, -0.6, -9.655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 4:51 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/203 - -3001\/6090. Find the common denominator of 55\/14 and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89998.4mg in micrograms?\nAnswer: 89998400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/2 - 3685*c**2 + 1361600*c - 2708480.\nAnswer: 5*(c - 736)**2*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*s**2 - 15*s + 13*s**2 + 16*s**2 to d*s**2 + x + i*s and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-36) - (-11)\/2. Factor r*s**2 + 14\/3*s - 4\/3.\nAnswer: 2*(s + 1)*(9*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1959*n + 78352. What is c(-40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1245 = -0*v + 5*d, -2*v + 510 = -d. Suppose 21*c = 23*c - h - v, 2*c - 2*h - 250 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/(2\/20). Factor 6 + a*f - 2*f**2 + 5*f + 5*f**2.\nAnswer: 3*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 40. What is the units digit of g(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(176) - (sqrt(176) + -5 - sqrt(176)))*-2.\nAnswer: 150 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51934 or -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -241994.\nAnswer: -290392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/171 - -6\/19. Is n >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -5c70?\nAnswer: 5c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 12. What is c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 14 = 5*q, 2*a + 5*q + 0*q = 12. Let v be 3 + 2\/(a - 3). What is the third derivative of 4*h**2 - 2*h**2 - 4*h**6 + 2*h**v + 8*h**6 wrt h?\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 104, 75.7, -0.3, 3, 4, -0.35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47018 or 47019?\nAnswer: 47018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - 1) + 1)*1. Solve 0 = 2*p + p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 12:23 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2)**2*-1 - sqrt(80) - (-2*2*sqrt(80))**2) + 4 + (3*sqrt(10)\/sqrt(2) - (1*sqrt(60) + sqrt(60))\/sqrt(12))**2.\nAnswer: -1591 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -38 + 7*v + 32 - 18*v. Let a = -8 - -1. Is 29 a factor of s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70238, -140267, -210308, -280367, -350450, -420563?\n\"Answer: -n**3 - 70022*n - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*c**3*j**4 + 77*c**3*j**2 + 2*c**3*j - 8*c*j**4 wrt j.\nAnswer: 360*c**3*j - 192*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 13 = g, 4*l - 3 = -g - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 7*b + 7. Let d(i) = -i**2 - 3*i + 3. Let c(f) = 7*d(f) - 3*y(f). Let o(p) be the first derivative of 20*p**3\/3 - 3. Calculate o(c(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k + 55 = 0. Suppose -4*l + 2*l - 5*o = k, -16 = -5*l + 2*o. Suppose -l*j = -2*t - 8, -5*t + 0*j - 5*j = -20. Solve -3*x - x - 8 = t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1364, 2729, 4096, 5465, 6836, 8209?\n\"Answer: v**2 + 1362*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 4 in increasing order.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1852536650 to the nearest integer?\nAnswer: 43041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4152.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4379 times -8381\nAnswer: 36700399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/(g\/(g*g**(-14))*g))))**(-1\/7)*g\/((g**(1\/6)\/g*g)\/g*g)*g\/((g*g*g\/g**(-2\/37))\/g)*g assuming g is positive.\nAnswer: g**(4097\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4119 + -1898. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let o(d) be the second derivative of -25*d**4\/12 + 22*d. Calculate v(o(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 60. Let i be (-1)\/(10\/q)*-2370. Is i\/(-12) - (-21)\/28 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5310698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -86, -90, -92, -92?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 995*n + 4968. What is b(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**4 + 82*r**3\/5 + 1972*r**2\/5 - 82*r\/5 - 1932\/5 = 0. Calculate r.\nAnswer: -6, -1, 1, 161\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-10)\/95)\/(-1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1681.85 to the nearest 10.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923702 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 265096661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16707.84683 - -16708. What is f rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(-25)\/75.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170023167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/28))\/(o**(-4\/9)\/o) assuming o is positive.\nAnswer: o**(607\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3874 + 3873. Sort m, 3, -17.\nAnswer: -17, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-40))\/(18\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 22605 = -m, -m = m + 10. Solve -i + 12115 + 585*k + 7*k**3 + 100*k**2 - 2*k**3 = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2)*1 - (sqrt(325) + -3).\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265627 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4 - 3) + (180 - 175).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 616 + -615.9403. Let d = -0.14 + 0.076. Let a = d + j. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 12) to base 9.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 28.1.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104)*3 + sqrt(104) - sqrt(104)) + sqrt(104))*2 + sqrt(104))\/sqrt(8) + (2*(2*sqrt(325) - sqrt(325)))**2.\nAnswer: 11*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6182*p + 581112. What is v(-94)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*q - g, 5*q - 3 = -143*g + 146*g. Let o(a) = 7*a + 3. Give o(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + 40 = 0. Let i = 56 - x. Let n = i + -35. Solve -2*s = -3 + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + 2*d**2 + 1. Let g(i) = 16*i**3 - 26*i - 26. Let y(m) = g(m) + 5*r(m). Let v be y(-12). Solve 4 = -2*z + 7*p - 3*p, -v*z + 2*p = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6857286 is divided by 152380.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -70, 1\/2, -44?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37983 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + u**2 + 2*u + 1. Let p be g(-1). Let v be 260\/28 + p\/(-7). Let r(h) = h**3 - 8*h**2 - 10*h + 9. Let l be r(v). Solve -4*q + 0*q = l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**3\/12 - 11*k**2\/2 - 121*k + 55. Factor y(i).\nAnswer: -(i + 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + l + 0*l**4 + 12 + l**3 + 2*l**4 - 2*l**4 to the form h*l**4 + r + y*l**2 + w*l**3 + a*l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -215*j. Let t(o) = 3*o**2. What is t(k(z))?\nAnswer: 138675*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -461, -830, -1273, -1814?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 377983*g**3*x + 44*g**2*x + 1211*x wrt g?\nAnswer: 2267898*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*sqrt(272) + -1)**2 + (-5 + sqrt(272)*-1)**2 + sqrt(272) + (sqrt(272) + sqrt(272)*2 + sqrt(272) - sqrt(272) - sqrt(272))**2 + 5.\nAnswer: -84*sqrt(17) + 5758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1515706, -16 in descending order.\nAnswer: 0, -16, -1515706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345059?\nAnswer: 3, 31, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - (-260)\/12. Suppose 5*f + 2*y - q = 4, 34 = 3*f + 5*y. Suppose f*p = 2*p + 12. Calculate the lowest common multiple of p and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/30 - v**2 + 38*v. Let h(t) = 5*t**2 - 6. Let s(y) = y**2 - 1. Let a(q) = -h(q) + 6*s(q). Calculate p(a(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 380 - 257. Let k = -147 + 321. Suppose 3*n - k = t. Calculate the greatest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90075091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -633451 (base 7) to base 14\nAnswer: -2bb98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(80) + (0 + sqrt(180))**2.\nAnswer: 4*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60028095.\nAnswer: 3, 5, 4001873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2480544 and 12852?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(3 - 0))\/((-3)\/(-5202)). Is -578 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534990289 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -22) + (6 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60970*s**2 + 3*s - 3*s + 59847*s**2 as r + q*s + j*s**2 and give j.\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 236, 1063, 2472, 4463?\n\"Answer: 291*t**2 - 46*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20638\/238 + (-4)\/(-14) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - a - 4*a + 4*a - 2*a**3 - 3*a**4 - 2*a**2 to b*a**2 + x + p*a**4 + f*a + t*a**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -2.651816.\nAnswer: -3.151816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -27 + 24 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 3\/761, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*i + 55 + 109 + 12. Solve -i*o = 0, -c + 11 - 15 = -o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3924\/5*o**2 - 3024\/5 - 5994\/5*o - 824\/5*o**3 + 16\/5*o**4 = 0. What is o?\nAnswer: -3\/2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/388 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*j*x**2 + 5*j*x + 3*j - x wrt x.\nAnswer: 596*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -11, -13, -5, 19, 65, 139, 247?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 99721348?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*l**4 + 12*l**3 - 5*l**2 - 11*l**4 - 2*l**3 + 5 - 5 in the form c*l**3 + n*l + d + a*l**4 + f*l**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u - 6*u - u)*(7405*u - 7329*u - 1 - 3 - 4*u**2) as p*u**2 + i*u**3 + b + a*u and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -101?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -43. Let t = -17 + d. Suppose 2*a = 22 + 6. Calculate the lowest common multiple of a and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 929 (base 10) to base 9\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 21 = -4*w, -k + 5*k = 3*w + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 8. Suppose -b + 5*w + 27 = 0, 4*b - 15*w + 11*w = 28. Calculate v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -5.09. What is the second biggest value in x, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9*u + 1. Let s(f) = -1. Let y(d) = -h(d) - 4*s(d). Let m be y(-9). Suppose 0 = -m*g + 4*t + 41, 3 = -3*t - 12. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**7\/840 + a**6\/360 - a**5\/120 + a**4\/24 - a**3 + a. Let c(z) be the second derivative of u(z). Determine c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 2. Let u(v) = 238*v**2 + 4. Determine -u(a) + 2*z(a).\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -3*h - 3*u, 577*u - 579*u - 152 = -8*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -106*i**3 - 9*i**2 + 10*i + 28. Let d(v) = -53*v**3 - 5*v**2 + 6*v + 16. What is 7*d(q) - 4*j(q)?\nAnswer: 53*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 11*d**2 + 11*d + 6. Let t be w(-10). What is the fourth biggest value in -6\/17, 0.3, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 38. Let a(o) = -4*o - 52. Let h be a(-23). Let z be h\/(-70) + 258\/(-14). What is the tens digit of u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 110 - 22. Calculate the lowest common multiple of p and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0571167 grams?\nAnswer: 57116700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:53 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p - 57523 + 57547 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9097 + 9108. Solve -4*s = -5*x + 3, 2*s - 6*x + 9 = -w*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*q + 4*r, 14*q - 18*q - 3*r = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.7, -1, -207, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 1088304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6535.05 + 6535. Which is the fourth smallest value? (a) 1\/34 (b) q (c) 2\/17 (d) -1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*z + 4 + 111, 47 = 4*h + 5*z. Suppose 0 = -g + 2*b, 2*g - 2*b + 7*b = h. Solve -g*f - 9 = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/sqrt(3)*-1 - (-2*sqrt(5929) + sqrt(49)))*1)\/(sqrt(14)\/(sqrt(8) + sqrt(2)) + sqrt(28) + sqrt(28)*2).\nAnswer: 60*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*p = 60*p + 15981 + 110067. What is the remainder when p is divided by 307?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74525725 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**8\/6720 - z**7\/360 + z**6\/144 - z**4\/12 - z. Let c(w) be the third derivative of a(w). What is c(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 2. Suppose 0 = -2*m - 2 + 6. What is the units digit of a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 12. Let r(x) be the first derivative of -2*x**2 + x + 8. Let h(c) = 5*c - 1. What is t*h(j) - 7*r(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -1.9. Let d = 0.43 + -5.23. Let g = -5 - d. Which is the smallest value? (a) k (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 188577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3423 < -848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3050 = 5*d - 0*c, 25 = -5*c. What is the highest common factor of 136 and d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -4, -599, 4899 in ascending order.\nAnswer: -599, -4, -3, 5, 4899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(540)\/sqrt(3) - (sqrt(320) + 1).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007805438 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = -0*s. Let r = 575\/3 + -190. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59437.61 decades?\nAnswer: 5943.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*d + 21 - 2, 0 = 3*w + 3*d - 3. Sort 3, w, -5 in increasing order.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1195 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 666 (c) -0.02 (d) 5 (e) 1 (f) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 2031\/38?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by 3\nAnswer: 175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -9*x**5\/5 + x**3\/2 + x**2 - 12*x - 5. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 14849 = -330923 - 4436. What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 + 3. Suppose -5*h = -h + 5*t + 5, a*h = -2*t. Let j = h - -4. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3111*x**2 - 1 + 1 + 3112*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 18*f + 21. Let r(v) = -54*v. What is t(r(y))?\nAnswer: -972*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3790765?\nAnswer: 5, 11, 157, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {l: 1, x: 1, z: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from kwiciiiyckciii?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50332*a**3*d + 586*a**3*v**2 + a**2*p*v**2 - 3*a*d*v**3 - 6*a*p**3*v**3 + 2*d*p**3 - 27*p**3*v**2 wrt d.\nAnswer: 50332*a**3 - 3*a*v**3 + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 - 89*n**2 + 181*n - 91 = 0. Calculate n.\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/120 + m**5\/4 + 7*m**4\/12 + 7*m**3\/6 + 35*m**2. Determine u(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.037907393 and -7423.\nAnswer: -7431.037907393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 204 - 52 - 83 - 35 + d. Determine b(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8097375 divided by 207625\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20184 and 792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t - 31. Suppose -10*f = -11*f - 5. Let g be o(f). Suppose -6*s + g + 11 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 71c?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:19 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r - 2. Let t be v(6). Suppose c - 5*c + t = 0. Let j(z) = -3*z**2 - 5*z. Let a(m) = 2*m**2 + 3*m. What is c*a(l) + 6*j(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d. Let n(v) = 7*v**3 - 11*v. Calculate n(g) - 6*r(g).\nAnswer: g**3 - 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -22000210222?\nAnswer: 22000211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53618\/(-2926) - -16) + (-6)\/(-42)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16833780 and 369.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47.39 - -48. Let t = r - 0.11. Let q be (26\/16 + -1)*16\/(-40). What is the closest to q in t, 4, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 244850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y - 2*y + 5*y)*(283*y + 225*y - 225*y) as b*y + n*y**2 + u and give n.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + p)*(-6 + 2 + 1)*((0 - 4 + 1)*(4 - 4 + 4*p) - 4*p + 0*p + 3*p + (-p + 1 - 1)*(2 - 1 + 1)).\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-24))\/((-5)\/(20\/6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -3*r - 5*w, 417*w + 88 = -4*r + 413*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 1 + 42 - 7 in the form k + g*j and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13520 divided by 4.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5243.884214 rounded to 0 decimal places?\nAnswer: -5244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - ((16 - 7) + -11 + 8)) + 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*a = 8, 2*a - 2157 + 2159 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 134*t**2 + 142*t**2 + 143*t**2 - 417*t**2. Let j(i) = -581*i. Calculate j(s(a)).\nAnswer: -1162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00852241 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:09 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-44))\/(9\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Rearrange (-6 - 4 + 0)*(6 - 7*m - 6) + (-m + 0 + 0)*(0 + 0 - 1) - 3 - 2*m + 3 to the form h + x*m and give x.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 62*c - 45 + 69. Let w(v) = -v + 1. Let l(y) = 17*y. What is c*w(z) - l(z)?\nAnswer: -15*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86387 + 3?\nAnswer: -86384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksod when four letters picked without replacement from okssdpz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**3 - 1187 - 1178 + 2365.\nAnswer: 59*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d + 17*d + 33*d - 19*d.\nAnswer: 53*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29367 = -92*l - 26147 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 - 1. Let t = 5 - 3. Let y be x(t). Solve -5*c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k - 12 = 0. Let l = -329 - -461. What is the highest common divisor of l and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**11*w))\/w**(5\/4))**(1\/3))**(-28) assuming w is positive.\nAnswer: w**(343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0573 - 0.0409. Let l = 0.078 + c. Round l to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -40.26. Let d = u - -0.7. Let n = -3.06 + 0.06. What is the third biggest value in n, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6412\/2290)\/(7\/2)*(-1 + (-34)\/(-24))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 8:10 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**26*d\/(d\/d**(-6)*d)*d**(1\/6)*d*(d**1)**(-35)\/(d*d**(2\/17)*d\/(((d**(-5)\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-7849\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 170.\nAnswer: -1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 6445*n**2 + 8*n + 2. Let s(f) = -2*f**3 - 5*f - 1. Determine -c(y) - 2*s(y).\nAnswer: 2*y**3 + 6445*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1593 + 0.03.\nAnswer: -1592.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 12. What is the highest common factor of q and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 11 = 5. Calculate the common denominator of (-90)\/g*8\/88 and (-174)\/(-12)*(-4)\/6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 276*f - 1596. Calculate the remainder when q(-6) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -1 - ((5 + 22 - -2) + -29)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + -2 + 18 + -4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-825)*((-40)\/(-8))\/((-6)\/(10\/5))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122251845 to 5 dps.\nAnswer: -0.12225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 58 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from tidti.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 61 - 16. Let a(p) be the second derivative of -p**3\/3 + 17*p**2\/2 + 3727*p - 1. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6983 = -7600. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4378 * -5.3729\nAnswer: -23522.5562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*-2 - 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87518*r**2 + 34*r - 651 wrt r.\nAnswer: -175036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144666 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) - (sqrt(175) + -1)))*-3)**2*-3.\nAnswer: -4752 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16503.\nAnswer: 3, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7 + 26 + 0 + 4*t + 19. Let j be d(-9). Suppose 0 = -h - j + 4. Solve 4*o - 10 = h*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2550*1.\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-45) - (-1)\/(-3)*-2. Let v be (-6)\/4*(-2)\/(-6). Which is the nearest to r? (a) -6\/11 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 966.3112km?\nAnswer: 966311200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 472\/5 + -94. Let k(f) = 3*f - 19. Let x be k(9). Let p = -11 + x. Which is the nearest to v? (a) 1 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = -v, -2*v - 12 = y + 3*y. Find the common denominator of 45\/30 - v*1 and 11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 152, 196, 240?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/22)\/((-30)\/1185) and 3\/(-2)*47\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7662908 and -0.3?\nAnswer: -2298872.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2543769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102568 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3340*c**3*k**2 + 6973*c**3 - 2*k**2 wrt k.\nAnswer: 6680*c**3*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 25*p**3 - 9815*p**2 + 468540*p + 4643100 = 0.\nAnswer: -42\/5, 66, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1251380 and 224?\nAnswer: 70077280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + i - 108 = 97, 4*t + 5*i - 401 = 0. Suppose 7 = 4*h + 399. Let w = h + t. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 4134.346.\nAnswer: -2067.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*h, 2*h = -5 + 1. Let k(b) = -1089*b - 9. Let a(c) = -545*c - 4. Let p(d) = 13*a(d) - 6*k(d). Let s be p(y). Round s to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)\/sqrt(2))**2 + (sqrt(15)*-1)\/sqrt(3).\nAnswer: -sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 2*y**2 - 10*y - 11. Give o(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (17770\/(-3))\/(102\/(-153)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 52*d**2 + 6378*d - 247. Give f(110).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 33*a**2 - a + 1. Let p = -20 + 21. Is o(p) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366404, -2, 2, 4 in decreasing order.\nAnswer: 4, 2, -2, -366404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/276 and -19\/53799484.\nAnswer: 161398452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -291152 and -5.\nAnswer: -291157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52184 - -79455. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 3, w: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-300) + (-236)\/24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i + 148 = -m, -2*m + 2*i = -70. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13772 = 323*h - 3670 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - i - 43, 0*a - 5*a = -5*i - 35. Let b(f) = f**2 - 4*f + 4. Is b(a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 17*l + 1 = 0. Let i = -853\/9 + 95. Which is the third biggest value? (a) -5\/4 (b) l (c) 0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*h - 18 = 0, 17 = -3*t - 3*h - 1. Let m = -30131\/45 + 3349\/5. What is the second smallest value in 0.5, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 - 159*f + 408. Give j(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80 in 4, -2, -379?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 639307.6 millilitres?\nAnswer: 639.3076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/40 (b) 1\/5 (c) 7\/11 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*q = -1390 + 3718 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -1)*(-1)\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/4 - b**4\/6 - b**3\/6 + b**2 - 184*b. Give n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - 10. Let u(f) = f + 13*f**d - 2 + 4 - 1. Is 10 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 19. Let w = y + -3. What is the remainder when 8 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let c be r - (-1)\/2*6. Suppose c*v - 23 = 43. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/201327636 and 65\/20754?\nAnswer: 603982908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1547 (base 9) to base 11\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1856290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 5224456. Let p = q + 862228. What is p rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 3*i**3\/2 - 2*i**2 + 7*i. Let q(a) = -5*a + 2. Determine -6*g(z) - 11*q(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621.118t in micrograms?\nAnswer: 7621118000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -5. Let b(x) = -x**3 - 8*x**2 - 9*x - 10. Let j be b(-7). Let t(l) = -2*l - 2*l - l + j*l + 4. Let q(z) = -1. What is k*t(y) + 4*q(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -367000?\nAnswer: 7\/367000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 1445*c**2.\nAnswer: -5*c**2*(c + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2616192 and 181680.\nAnswer: 13080960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 3*n**2 - 2*n - 1. Let j be w(-3). Find the second derivative of 5*x**j + 2*x - 3*x**5 - 5*x**5 wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*i + 8 = -0*i + 2*i, 2*n - 16*i + 17*i - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8731 to two dps.\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 3 = 0. Let c = -414 - -428. What is the least common multiple of 43\/3 - p\/3 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005268 to 5 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 5)*(-3*t - 2*t + 4*t) + (3*t + 0*t - t)*(-1 + 3 + 0) + 2*t - 1 + 1 - 4*t + t + 4*t - 2811 + 3614*t - 599*t + 2805 to c + r*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*b**5\/3 - 320879*b**4\/3 - 741113*b**3\/3 - 526517*b**2\/3 - 114056*b\/3 - 7604\/3 = 0. Calculate b.\nAnswer: -1, -2\/13, 1901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-3))\/((-4)\/(-2)). Suppose t = 3*d + q - 14, 5*d - d = q + 14. Suppose o - 7 = -d. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1112 and 1251.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)\/(b*(b*b\/b**(1\/26)*b)\/b))\/(b**(-14)*b**(-17)*b) assuming b is positive.\nAnswer: b**(707\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-10 + (-238)\/(-18) + (-29 - -26))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4136*i + 128044. Determine x(-31).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 21. Give z(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + i - 4*i + (-1 + 3 - 1)*(2*i - 1 + 1) - i + 0*i + 0*i + 2*i - i + i - 4*i + 0*i + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 421.4 + 5\nAnswer: 426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -901386723*a**3 - 716150085*a?\nAnswer: -5408320338*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3284 - 3301 = 2*f, 0 = -p - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.72 + -8.32. What is the second smallest value in h, 2\/7, 3, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*t - j, -5*t + 57 = -j - 23. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3725974 divided by -1862987\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 92 + 84 - 168 - 8.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -100 (b) -1\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 3*s + 14. Give k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 19. Suppose 0 = 2*w - o - 7. Let r(m) = -w + 0*m + 3*m + 7. What is r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*z - 0. Suppose 5*p = -1 - z. What is the second biggest value in -0.1, 2\/11, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 2*x**2 + x**2 - 6*x**2 in the form p*x + a*x**2 + u and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 5*i - 8. Let h be (-2)\/4*1*(13 - -1). Calculate the least common multiple of 27 and l(h).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104272753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3\/3 - 2*q**2 - 126*q + 230. Factor x(n).\nAnswer: 2*(n - 9)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2. Let q be (-35)\/28*12\/(-3). Let i(u) = 12*u**2 - 6*u - 12. Let w(g) = -11*g**2 + 5*g + 10. Let k(t) = q*i(t) + 6*w(t). What is k(z(f))?\nAnswer: -294*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-28 + 138) - -68.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlmfmhfff. Give prob of picking 3 h and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-6 + (sqrt(110) - sqrt(110)*2*-5))\/(3*(sqrt(40) - sqrt(10)) + (sqrt(1210)*1 - sqrt(10) - sqrt(10))).\nAnswer: 23*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20679336 and 41358672.\nAnswer: 41358672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/16 + (-2 - (-30)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 13*p**6\/120 - p**5\/12 + p**4\/6 - 17*p**3\/3 - 2*p**2 - 18. List the prime factors of r(5).\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5666*i - 11330*i - 25027*i**2 + 25025*i**2 + 5664*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w - 6*w + 3*w**5 - 10*w**5 + 3*w wrt w?\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:05 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -354*l + 1162. What is the units digit of q(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13110166*i**2*o**4 + 63*i**2*o**2 + 2*i*o**5 + 151*i*o**2 + i*o - 30*o**2 wrt o.\nAnswer: -314643984*i**2*o + 120*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, g: 1, b: 2, w: 3, x: 4}. Give prob of sequence wxww.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(-455) + -6*12\/234)*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376639?\nAnswer: 376639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 702\/5*z**3 + 54036\/5*z**2 + 262122*z - 4437351\/5 + 3\/5*z**4.\nAnswer: 3*(z - 3)*(z + 79)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 9*a + 8. Let k(z) = 5*z + 134. Let h be k(-25). Give j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3\/5, 12\/5, 1\/2, -9.8 in descending order.\nAnswer: 12\/5, 4\/7, 1\/2, -3\/5, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-12) - 249\/(-36). Suppose 3*q + 1979 = 4*d, -l*d + 3*q = -5*d - 997. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)**33)**(-2\/19) assuming b is positive.\nAnswer: b**(-132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 47*p**4\/24 + 10*p**3\/3 - 33*p**2. What is the tens digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.2 (c) 0.1 (d) -4 (e) 39.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 11*a + 63. Find the common denominator of 46 and x(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-11 + 98 + -69).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 30*m - 87. Let l be t(3). Is l less than or equal to 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -430261*g**2. Let p(y) = 13*y. Give p(f(d)).\nAnswer: -5593393*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95962045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2431*h**3*s**2 - 412*h**2*s + 2*h*s**2 wrt h.\nAnswer: -14586*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 396\/60 - 3\/5. Suppose 3*h = s*h + 309. Let o be h\/(-12) - 3\/(-4). Does o = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + sqrt(33)\/sqrt(3))*4 + -4*(0 + sqrt(11))*1).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:14 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1367 by -747.\nAnswer: -1367\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - 1. Suppose -16486 + 3838 = -17*l. Let m(i) = -732*i + l*i - 5 + 3. Give s(m(y)).\nAnswer: 144*y**2 - 48*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17*22\/1122)\/(5\/2790*3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 + 205208*b**2 - 820880*b + 820896 = 0.\nAnswer: -51306, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: -2129 divided by 1686\nAnswer: -2129\/1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40120.\nAnswer: 2, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12458.\nAnswer: 2, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92377 and 9.\nAnswer: 831393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n + 144. Let k be r(-9). Let o be (8\/5)\/((k\/5)\/(-9)). Solve 0 = t - o - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88610935 to the nearest integer?\nAnswer: 9413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278 + 1012 = -o. What is the greatest common divisor of o and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 2 - 2 + 2*s**5 + 1 - 1 + (-4*s + 4*s + s**2)*(-2*s**3 + 3*s**3 + s**3) + (-5*s**3 + 0*s**3 + 3*s**3)*(4*s**2 + 5*s**2 + s**2).\nAnswer: -17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 11. Let r = 13 - u. What is the nearest to 0.1 in -0.3, r, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 2*s**4 + 4*s + 1 + s - 2*s**4 + 1 - 1 + (-50*s - 34*s**3 + 50*s)*(-2 - s + 2).\nAnswer: 34*s**4 + s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + b = 6 + 4, 0 = -k - 5*b - 10. Let l be 13 + ((-18)\/117 - k\/(-13)). Let n = l - 14. Solve -m = -n*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, g: 3, r: 2}. What is prob of sequence drd?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(931) - sqrt(931)) + sqrt(931) - (2 + -2*sqrt(931)))**2 - (-5 + 1 + sqrt(931) - (sqrt(931)*1 + sqrt(931) + 4)**2).\nAnswer: 105*sqrt(19) + 12123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1853143, -5, 4 in decreasing order.\nAnswer: 1853143, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 2814*l + 2814*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.27 + -1.67. Let z(g) = -g**3 - 37*g**2 - 71*g - 30. Let u be z(-35). Let x = 8 + -5. Which is the fourth smallest value? (a) u (b) o (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*t - 153*t - 25 = -5*b, -2*b + 4*t = 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-8 + 7)\/(2\/2). Suppose 5*g - 14 + 4 = t. Solve -2*c = -2*v + 12, 3*c = g*v - 0 - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*c = -c + 851, 2*b - 428 = 2*c. Let o = 208 + b. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - 13. Let q = b - -29. What is the third biggest value in 1\/4, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2296 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q + 6034*q**2 - 2649*q**2 - 2417*q**2 + 85 wrt q?\nAnswer: 1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m - 1942. Calculate the remainder when ((-5)\/(-10))\/((-2)\/(-196)) is divided by h(85).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 4*m - 2*m + 11*m - 5*m.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jylnwwlww. What is prob of picking 2 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 9. Let s = f + -19. What is the remainder when 41 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147a1 (base 12) to base 2\nAnswer: -111000001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) 20\/7 (c) 1\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158767 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 1. Let r = f - -13. What is the tens digit of 11\/(-2)*10\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 4*x**2 + 3*x + 1. Let v be t(-2). Suppose -3*s = v*z + 8429988, 0 = -0*s + 4*s - 16. Round z to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 23205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:05 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))**(2\/5)*(x**(2\/5)\/x)**(-4\/17)*((x*x**(2\/3))\/x)**(-5\/6)*(x**0*x)**(2\/141) assuming x is positive.\nAnswer: x**(-14389\/35955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 45*u - 7. Give p(-14).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Let n be (o\/5)\/((-4)\/(-30)). Let z be (-1)\/(3\/n) + 1. Is 3 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21) + (-24)\/(-140).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(1*sqrt(12)))\/(sqrt(162) - (sqrt(162) + (sqrt(162)*-1 - sqrt(162)) - sqrt(162) - sqrt(162))).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801396 and 1576.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 at least -727.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1. Let d = 66 + -63. Let a(c) = -4*c - 2. Let v(s) = -s. Let u(y) = -a(y) + 5*v(y). What is d*b(h) + u(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 5}. What is prob of picking 2 u and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -17\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12859440 to the power of 1\/2, to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/357 and 67\/616?\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8899, -8972, -9081, -9226, -9407, -9624?\nAnswer: -9877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.164 + 0.494. Let z = 0.55 - j. Which is the nearest to -2\/5? (a) 1\/3 (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - 2) + (-803 - -815).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263.2628467 plus -4?\nAnswer: 1259.2628467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 98 * -0.13\nAnswer: -12.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y - 88*y = 100 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - 96. Let f = p - -146. Calculate the highest common divisor of f and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a - 228. Find the common denominator of 64\/27 and ((-30)\/6)\/(0 - 144\/a).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-15) - (-126)\/10. Calculate the greatest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-25.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -247*b - 4699. Give n(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 344\/(-3 + (-1024)\/(-336)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25326200 (base 7) to base 11\nAnswer: -1326602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 390. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a38f5 (base 16) in base 11?\nAnswer: -418378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 + 5*c - 6. Let g be h(4). Let p be ((-12)\/(-330))\/(2\/g). Which is bigger: p or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282500 is divided by 2500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*f. What is the third derivative of -6*t**4 + 6*t**2 - 2*t**f + 2*t**4 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355340 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 852 + 15528 = 0. Suppose l = -22*q + 27*q. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155133?\nAnswer: 2155133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.39 - 0.63. Let w = -1.06 + s. Is 4\/9 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.35622 to two decimal places.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71792, -1, 4 in descending order.\nAnswer: 71792, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g + 16. Let p be j(-5). Calculate the greatest common factor of p and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/7 + 8318*r**3\/7 + 527043*r**2\/7 + 8046784*r\/7 - 8582144\/7 = 0.\nAnswer: -32, 1, 8381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5824*u + 630378 = -143*u + 9328*u for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.4. Let c = 0.481 - 5.481. What is the nearest to -4 in n, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*d + 44, 4*g - 4*d = -2*d + 76. Let j be 246\/g - 2\/(-6). What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**3\/6 - r**2\/2 + 6*r. Let c be y(0). Which is greater: c or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxxkx. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 2*w**2. Let d be (-1)\/(3\/12*-2). Let v = 0 - d. What is b(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2316, -1, 5 in decreasing order.\nAnswer: 6, 5, -1, -2316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u = -92*u + 215150. Suppose -81*a = -71*a - u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 370*s**3 - 355*s**2 + 730*s.\nAnswer: -5*s*(s - 1)*(s + 2)*(s + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnkkqqknkkk. What is prob of sequence kn?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148277 = -5*q - 5*b - 148307, 0 = -5*b - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000519476 to 7 decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 - 15\/(-9)*-3. Let i = k - 5. Let a be (54\/8)\/3 - 2. Put 2, i, a in decreasing order.\nAnswer: i, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t)*(-t + 3*t + 0*t)*(7*t + 4*t - 4*t + (2 + t - 2)*(2 + 1 - 2)).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*3*sqrt(2299)*-3 + -5.\nAnswer: -5 + 297*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1872, 93.1, 0.24, -2 in decreasing order.\nAnswer: 1872, 93.1, 0.24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*z**2 + 2*z + 2*z + 50*z**2 + 0*z to a*z + p + u*z**2 and give u.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -66*r**2 + r - 4. Let t(f) = -f. Give o(t(y)).\nAnswer: -66*y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -504, -611, -636, -579?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/9 + -14\/9. Let f = -83.4 - -62.4. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 553, 552, 551, 550, 549?\n\"Answer: -d + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 22*z + 134. Determine b(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/3*396\/30. Let d = f - -159. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -i + 4*t - 11, -3*i - t = -19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 410179 - 3?\nAnswer: 410176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7400, -7452, -7520, -7604?\n\"Answer: -8*s**2 - 28*s - 7364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 11*n + 3. Suppose -35 + 45 = -2*b. Let m be k(b). Let a = 0 + -1. Put a, 4, m in decreasing order.\nAnswer: 4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from {b: 15, v: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 8:20 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 140*r**4 + 24 + 138*r**4 - 4 - 2*r**3 - r as g*r**4 + u + b*r + n*r**3 + i*r**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 10*i + 8. Give n(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1487 or 1495?\nAnswer: 1487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 1\/12*k**5 + 0*k**7 + 0*k**3 + 0*k**6 + 0 + 0*k - 1\/48*k**8 - 4*k**2 + 0*k**4. What is the third derivative of p(m) wrt m?\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 394.6 - 395. Is -0.2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330 + 871*x - 1645*x + 329 - 1211*x - 2*x**3.\nAnswer: -2*x**3 - 1985*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + p + 3. Suppose 0 = -4*v + v - 2*g + 231, 154 = 2*v - 4*g. Let i be 403\/5 - (1463\/(-95) + 16). Let j = v - i. What is n(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 327105?\nAnswer: 3598155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31392, 31475, 31574, 31683, 31796, 31907?\nAnswer: 32010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 23572.\nAnswer: -5\/23572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - 8576c?\nAnswer: -85783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/120 - (-20)\/(-50). Let y(n) be the second derivative of 1\/48*n**4 - 1\/24*n**3 - n + 0 - k*n**2 + 1\/80*n**5. Factor y(q).\nAnswer: (q - 1)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2458 times 193\nAnswer: 474394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**7\/210 + d**5\/15 - d**4\/3 - 30*d**2. Let b(c) be the second derivative of q(c). Differentiate b(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22585?\nAnswer: 5, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/270*3 - 3\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 56. Suppose 0 = x - 5*q + 26, -f*x - 18 = -x - 3*q. Sort x, 0, -8.\nAnswer: -8, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j + 8, 2*m - j - 4 = 0. Suppose -3*n - 11 = 2*d - 44, m = d + 5*n - 27. What is the lowest common multiple of d and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 872*n + 70*n**2 - 872*n + 2*n**2 + 2*n - 2*n - n**2 + 0*n**2 + 0*n**2 + (4 - 2*n - 4)*(-n - 2 + 2) as j*n**2 + t*n + d and give j.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100850.\nAnswer: 2, 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11659 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:12 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from {u: 8, t: 5}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-214)\/(-1284))\/(2\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230283419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 35 = 5*q - 12*y, y = -15*q - 70. Which is the third smallest value? (a) 0.047 (b) q (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let u be 4\/((8\/7)\/q). Suppose -s + u - 1 = 0. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.17576 (b) 22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1001 and 314.\nAnswer: 314314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*q**2 + 10*q**3 + 51*q**2 - 65*q + 70*q + 10*q**3.\nAnswer: 20*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(175) - (sqrt(175) + -1 + sqrt(175))) + 1 + -5 + 2 + sqrt(175) + 2 + 3)**2.\nAnswer: -210*sqrt(7) + 8584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -4*g**5\/5 + g**4\/6 - g**3\/3 + g**2\/2 + 25*g - 1. Let x be (5 - 6) + (1 - -1). Give c(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -67. Let m(d) = d**2 - 7*d + 6. Let a be m(c). What are the prime factors of 0 + a\/(-2) + 49?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 681705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/(3\/(-9)). Let a be 2\/4*((-2)\/1 - -2). Put 1, x, a in ascending order.\nAnswer: x, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 16*d + 148 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 8. Suppose -3*z - z - 2*r = -56, 2*z = -4*r + 34. Solve -2*h + z - m = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*r**2 - 124*r**2 + 3*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174 + -205356?\nAnswer: -205552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 116 = 44. Let t(s) = 6*s + 51 + 10*s + c*s - 21*s. Let j be t(-15). Solve -j = -u - u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*1.2857.\nAnswer: 0.449995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - y**3 + 3*y**3 + (-2*y + 3*y - 3*y)*(0*y**2 + y**2 + 2*y**2).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*m - 18 - 144*m**2 - 98*m**3 + 46*m**2 + 47*m**2 + 37*m**2.\nAnswer: -2*(m + 1)*(7*m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-441)\/2130 + ((-28)\/8 + 3)*76\/(-190)\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381855 divided by 76371.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 6. Let l(z) = z - 1. Let p be l(3). Calculate the remainder when ((-3)\/p)\/((-9)\/12) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 36*a - 5*q = 18538, 2*a + q = 37109. List the prime factors of a.\nAnswer: 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 23*q. Let b(h) = -790*h**2 - 2*h. Give n(b(w)).\nAnswer: -18170*w**2 - 46*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y + 4*y + (2*y + 1 - 1)*(0 + 4 - 5) + (3*y - 5*y + 3*y)*(4 - 4 + 2) + 0*y - y + 2*y + 39*y + 20 - 20.\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25142, 25435, 26234, 27791, 30358, 34187, 39530, 46639?\n\"Answer: 42*v**3 + v**2 - 4*v + 25103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -7. Suppose -2 - u = -4*g. Put -2, g, -5 in decreasing order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 5*c - 5. Let q(s) = -s**2 - 4*s - 4. Calculate -2*f(h) + 3*q(h).\nAnswer: h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 35224 = -4*a, -33925 + 7525 = -3*a + 3*x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 10 + 15. Suppose -297 = -2*n - o*j + 1106, -2851 = -4*n - j. Is n a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74766, -74752, -74714, -74640, -74518, -74336, -74082?\n\"Answer: 2*u**3 - 74768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36761363 is divided by 5251621.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22673 is divided by 3237.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -178. Is (-28)\/(-3)*16371\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 33137940.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3406904?\nAnswer: 2, 109, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.43 - 15201.\nAnswer: -15197.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 32 + -18 + 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/42 + (-5193152)\/(-1344) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52213701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (455\/(-56))\/13 - 3\/(-4). Let p(o) be the first derivative of -4 - w*o**2 - 1\/12*o**3 + 0*o. Factor p(j).\nAnswer: -j*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -853\nAnswer: 17\/853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892*w - 24665 - 8027 - 10377 = -253 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 1 - (-3664)\/8. Let v be d\/(-15) - 6\/(-15). Is 9 a factor of (-10)\/v + (-106)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 + -10 - (20 - 2 - -11)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.5127 hours in seconds?\nAnswer: 1423845.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -482.1 take away -1984009327?\nAnswer: 1984008844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16803 divided by -7?\nAnswer: -16803\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 4*m**3 + 5*m**3 + 17*m + 14*m + 0*m**3 - 2*m**2 to j*m**3 + i + r*m**2 + t*m and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j + j - 5*j - 5*j as h + c*j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3121 + 0?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*-2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*r + 5*u + 45 = -88*r, 12*u + 96 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 25771*v**2 - 3 - 25737*v**2 + 51508*v**2 - 4*v**3 + 2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*c + 17, -20*c + 5*r - 3 + 8 = 5 - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - -156. Let j = b - 116. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 3 - 3 + 3 - 2 + (-4 + 2 + 3)*(-3 - 3 + 5) + 2 - 3 + 2)*(5*j**4 + 0*j**4 - 2*j**4).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 smaller than 302\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28) + sqrt(56)\/sqrt(2) + 4)*-3 - (3 + (6*(sqrt(343) + (sqrt(343) - (sqrt(343)*-1 + -1 + sqrt(343) - sqrt(343))) - sqrt(343)))**2).\nAnswer: -49441 - 1020*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*h**3 - h**2 - 1528*h**3 + 2*h**2.\nAnswer: -1923*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p - i = 20, 28 = -4*p + i. What are the prime factors of ((-1644)\/16)\/(p*1\/16)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175.5659745 seconds to weeks.\nAnswer: 0.00029028765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -21854.7.\nAnswer: -131128.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**4 - 200*m**3 - 1996*m**2 + 15192*m + 124992 = 0.\nAnswer: -31, -21, -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r - 10. Let x(a) = -2*a - 1. Let p(m) = u(m) - 5*x(m). What is p(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 14\/321, -0.2, -0.86?\nAnswer: 14\/321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 64*p - 1010. Give l(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 4*j + 4. Let g be k(4). Put -1, g, 1 in increasing order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 - -12) + -3 + 9. Let y = -3120 - -9370\/3. Let y*s + 0 - 5\/2*s**3 + 5\/6*s**4 + 0*s**x = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {z: 2, f: 4, j: 1, b: 9, h: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 228401 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/44*(-1072)\/6. Suppose -5*x - i + a = 0, -2*x - 6 = 5*i - 78. Solve 4*c - 2*h + 22 = 0, -h + x = 2*c - 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255 + 257. Let m(z) = -2*z. Let p be m(-1). Let a(v) = -51*v**p + 28*v**2 + 22*v**2 - s + v. Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36312 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10121112022 (base 3) to base 7\nAnswer: -414200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3 + 12 = 0, -12 = -3*l - b. Let r(o) be the third derivative of 1\/60*o**4 + 1\/75*o**5 + l*o**2 + 0 + 0*o - 2\/15*o**3 - 1\/300*o**6. Factor r(z).\nAnswer: -2*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 26*h**3 - 10*h + 11. Suppose 0 = 73*f - 14*f - 649. Let c(p) = -5*p**3 + 2*p - 2. Calculate f*c(i) + 2*b(i).\nAnswer: -3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-151461534.\nAnswer: 605846136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*o**4 + 16*o + 5?\nAnswer: 4224*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 - 1\/180*s**6 + 1\/6*s**5 + 125\/9*s**3 - 4*s**2 - 25\/12*s**4 + 0*s. Solve h(v) = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30764400 a multiple of 827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, y: 2, z: 7}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n - 3*d, -5*d - 3 = -13. Let s = n - -7. Suppose 589 = s*g - 466. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 5. Let s be (h\/(-4))\/(1\/(-2)). Suppose -34 = 40*r - 154. Which is bigger: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 10. Let s be w(6). Let i be (-3 - 5\/(-2)) + s\/4. Suppose y + 2*v + 2 = i, 3*v + 0 = 2*y - 3. Solve y = -0*g + 4*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 - (-3 - ((5 - -9) + -2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(12*-1) - (-4)\/12. Solve 0 = g + 5 - p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216 - 426. Let f = j - -209.9. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/468)\/(((-27)\/432)\/(3\/36*-2)).\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1606 and -109\/876?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from ooiooooiooioio.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 630 and 7191.\nAnswer: 503370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2526, 5053, 7580, 10107, 12634, 15161?\n\"Answer: 2527*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-257 - 7 - 34)*(2*v + v + 0*v)*(-4 + 3 + 0) to the form u*v + s and give u.\nAnswer: 894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1339, 1341, 1343, 1345?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -552831*u + 552902*u - 3479. Suppose -2*q + 1321 = 3*d, 4*q + q = -4*d + 1759. Calculate the greatest common divisor of d and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k + 12*k - 83*k + 19*k + 18*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -11010179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*r - 6*r + 81, 0 = r - 4*j - 41. Let s be -4*((-3)\/(-12) + 0)*-29. Is r at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 329, 493, 659, 827?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*y + 10, -5*x + 9 = 3*y - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028 - 0.372. Let c = 4 + -4. What is the closest to c in 2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.03 and 1178529.53.\nAnswer: 1178525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 - 151257702*g\/7 - 5719723103580201\/7.\nAnswer: -(g + 75628851)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.106 and 32966.\nAnswer: 32965.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 70, 90, 110, 130?\n\"Answer: 20*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*r - 86, -2*r - 8 = 2*r. Let t be (-46)\/(-18) - (-10)\/u. Determine q, given that -q**4 + t*q**2 + 0*q - 1\/3*q**5 - 4\/3 + 1\/3*q**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5\/6)*((m\/m**(-4))\/m)\/m*(m\/(m\/m**(-2\/23)))\/m*m**(-11) assuming m is positive.\nAnswer: m**(-1231\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38345123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 53, 92, 167, 290, 473?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-45))\/((-840)\/9). Let z(w) be the third derivative of 0*w + 1\/160*w**6 - 2*w**2 - j*w**7 - 1\/240*w**5 - 1\/32*w**4 + 1\/12*w**3 + 0. Factor z(h).\nAnswer: -(h - 2)*(h - 1)**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33816 divided by 32\nAnswer: 4227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*w + 4*w = -28, -2*v = w + 28. Suppose 0 = 5*c + 31 - 11. Let n be (v\/(-20))\/(c\/10). Sort -9, n, -2 in descending order.\nAnswer: n, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/6 + q**2. Suppose 0 = -5*k - h + 13, 11*k - 6*k = 5*h - 5. Let i(p) = 8*p**2 - p**k - 6*p**2. Calculate i(r(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:42 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from vvvtvvdnu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -6. Sort -1\/2, t, -0.29, -2\/15 in decreasing order.\nAnswer: t, -2\/15, -0.29, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 3*w + 1290. Calculate z(-48).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9926.9604ms?\nAnswer: 0.000016413625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)\/((-2)\/(-78)). Let x = w + 349\/9. Which is the closest to -2? (a) 3\/5 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31121961 to the power of 1\/2, to the nearest integer?\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1389000 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 22*u + 23. Let h(l) = 2. What is -22*h(d) + 2*k(d)?\nAnswer: 44*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8968*c + 1120997. Calculate h(125).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002684374 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 23*u + 1. Let h be o(1). Suppose n - h = -3*n. Let w(t) = -2*t + 8. Give w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 10*d + 28. Let k be t(-6). Let n = -16 - -22. What is the greatest common divisor of k and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003306092 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/(2\/(-24)). Suppose -3*s + s - 17 = -f, -s - 5*f = -d. Let k = s + 13. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12669\/20 - -72884717\/115060. Is 1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 69 = 81 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134528333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 715727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 3*l - 2*l - 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by 34?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -2\/3, -0.5, -0.2, 5.6 in descending order.\nAnswer: 5.6, -1\/9, -0.2, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -438207, -1\/9, -5, -1\/8 in decreasing order.\nAnswer: 5, 1, -1\/9, -1\/8, -5, -438207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25*(1\/10)\/((-2121)\/(-1212))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 9 = 3*g, o + 4*g = -17. Let x be (-3125)\/(o\/((-185600)\/(-5))). What is x rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/(-12))\/(1746\/388))\/(4\/184)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100791467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-1174\nAnswer: -939.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 13 + 3 = 2*t, 2*z = 3*t - 13. Suppose 25 = v + t. Solve v = -2*j - 4*k + 6, -4 = k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2055 (base 10) to base 3\nAnswer: -2211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 126b9849?\nAnswer: -126b9841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1941027 = 1941020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - j - 16, s + j - 7 = 1. What is the remainder when s is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102.7 - -205.6. Let o = -18.9 + s. Which is greater: o or 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/174 and -2\/203?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -84*j**2 - 16*j - 6. Let b(t) = 17*t**2 + 3*t + 1. Give -11*b(l) - 2*q(l).\nAnswer: -19*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3347 + 49e?\nAnswer: -2d98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 u, and 1 v when three letters picked without replacement from eoelloueeuuvou?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:16 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 13332935.\nAnswer: 3\/13332935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 232*p**2 - 12*p + 42. Is t(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g*x**2 + 19366*g - 308232*x**2 wrt g.\nAnswer: 6*x**2 + 19366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 250\/(-25))*(-6)\/(-9)*-30\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1005197366*i*n**3 + 4*n**3 - 1657*n**2 - 2*n + 4973 wrt i?\nAnswer: -1005197366*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4201064 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-3)*20\/14. Let g(h) = -h + 14. Let u be g(z). Let y be 10\/u + 5\/10. Put 1, 5, y in decreasing order.\nAnswer: 5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1264.7 - -1263. What is the third smallest value in -0.3, 5, n, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 0)\/(22\/(-77)). What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**(3\/4))**(1\/16)\/((v*v**(-1)*v)**(-15\/2))**(3\/11) assuming v is positive.\nAnswer: v**(1385\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 2)*(2*v + 2 - 2) - 5*v + 2*v - 2 + v in the form r + z*v and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**6\/6 + g**5 + 7*g**4\/4 - g**3\/3 - 4*g**2 - 4*g + 14. Factor z(n).\nAnswer: (n - 1)*(n + 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-68)\/6)\/((-8)\/12)*-1. Let x = -23 - q. What are the prime factors of (-292)\/x + (-34)\/51?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/296 - (-1)\/(-120). Let p be 11\/10*85\/(-68). Let o = -5\/8 - p. What is the closest to 1\/3 in o, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2157, -13053, -31215, -56643?\nAnswer: -89337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 322, 61, -450, -1295, -2558, -4323?\nAnswer: -6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 0, 0 = -0*i - i + 4*d + 10. Let r = i + -7. Suppose y = -3*w + 7, -19 + r = 3*w. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**9\/60480 + g**6\/360 + g**5\/60 - 3*g**2. Let m(k) be the third derivative of x(k). Differentiate m(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-10)\/(-8) - (14 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 + 0*b**4 + 0*b**4 + b**4 - 2*b**4 - b**4 + (4*b**3 + 3*b**3 - 5*b**3)*(2*b - 2 + 2) - 4*b**3 + b**4 + 4*b**3.\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -233616.23245?\nAnswer: 233616.03245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwaxwjixiijxjwxmjx. Give prob of sequence aww.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983100 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 2596. Let z(k) = -2*k - 2587. Calculate -3*j(x) + 4*z(x).\nAnswer: x - 2560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005 = -640884*c + 640951*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -362?\nAnswer: 362.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 8*v - 7*v)*(v**4 + 0 + 0) + 0*v**5 + 3*v**5 - 2*v**5 + (-v**2 + v**2 + 2*v**3)*(v + v**2 - v) + 2*v**5 - 2*v**5 + 2*v**5.\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.36 - -0.14. What is the closest to 3 in m, 0, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -306400000 to the nearest 1000000.\nAnswer: -306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4*y + 4*y)*(-10 - 4 + 1).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -982560 divided by -63\nAnswer: 327520\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/9*(-6660)\/(-888)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23528 divided by 11764\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) - (-4)\/14. Suppose 64*m + 32 = 48*m. Does o = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 29*b + 6. Let g be ((-15)\/3)\/(9\/45). Let n be t(g). Let s = 106 + n. Solve f - 4*f = s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 56. Let q = g + -2. Suppose -p = -2*l - 116, q*p - 464 = -3*l + 5*l. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 4*v + 5. Let s be k(-4). Suppose -s*y + 6*b - b = -170, 0 = 2*b - 6. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*p = -858*p + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or -6?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.75 + -63.75. Suppose -8 = -l + 4*u, -4*u - 10 = l - 2*u. Which is the third biggest value? (a) l (b) 2\/19 (c) p (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from sisuiiasaauauigu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/27*-51*14220\/3160.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/30 and -99\/1510.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 2*o)*(1 - 2 - 7)*(-2 - 5 + 2)*(1 + 0 - 2) in the form q + z*o and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 18*i + 37. Calculate j(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 3 + 154*m**2 - 3 + 2*m.\nAnswer: 160*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, -1118, -1\/3 in ascending order.\nAnswer: -1118, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6197231 at most as big as -6197231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 330271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)\/y)**(-20\/9))**(3\/2) assuming y is positive.\nAnswer: y**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*w + 22386, -92*w - 5609 = -93*w - 5*f. What are the prime factors of w?\nAnswer: 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:22 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-980)\/(-140)*(-48)\/7. Let i be 27\/(8\/l*-63). Factor -1\/7*j**3 - 216\/7 - i*j**2 - 108\/7*j.\nAnswer: -(j + 6)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -2*y**3\/3 + 3*y**2\/2 - 3*y + 1268. Let g be 12*-1*2\/4. Let r = -4 - g. Determine j(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.4 + 286.4. Let x = -264.00191 + j. What is x rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34658.6 + 34659. Let n be (1\/3)\/((-6)\/9). Let a be 2\/18*(2 - 1). What is the second smallest value in a, d, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614, 90, 1702, 3174, 4458, 5506, 6270, 6702?\nAnswer: 6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -113. Suppose -8*c + 20 = -3*c. Suppose -f*p = 3*w - w - 22, -c*w + p + 30 = 0. What is the highest common divisor of 32 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 w when four letters picked without replacement from {r: 4, w: 2, m: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, v: 2}. What is prob of picking 2 t and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2891 in 2\/9, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/12)\/((-15)\/40). Suppose b + 96 = 5*v, 35 = m*v + b + 2*b. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -37*t**2 + 6*t - 15. Let o(w) = 37*w**2 - 7*w + 15. Let m(g) = 6*o(g) + 7*x(g). Differentiate m(l) wrt l.\nAnswer: -74*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-14) - (13 - 10))*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - 3*f**2\/2 - 6*f - 3. Let n be 6 + -8 - (0 - 7). What are the prime factors of z(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 296*s\/5 + 24.\nAnswer: -2*(s - 30)*(5*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776 divided by -4.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -320*u**2 + u + 6. Let d be n(-3). Let t = -17215\/6 - d. What is the common denominator of 5\/16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -66, -37, 14, 93?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -23*n + 99. Differentiate 125*c - n - 48 - 11 - 24 with respect to c.\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 33*r + 287. Let i be j(-40). Suppose -20 = -k - 3*f, -k + 30 = 2*k + 3*f. Which is the third smallest value? (a) k (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61210*n**2 - 55843*n**2 + 29696*n**2.\nAnswer: -87357*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-3)\/36))\/((-3030)\/(-2020)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*sqrt(1216))**2 + -3).\nAnswer: 9722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.17 (c) -2\/3 (d) 8 (e) 0.34 (f) 159\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + ((-36)\/(-14))\/((-135)\/630)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8691, -9, -1 in decreasing order.\nAnswer: 8691, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(180\/8))*2. Let i = r + 31\/2. Which is the second smallest value? (a) -3\/5 (b) -5 (c) -0.2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 24 = -41*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 10 = -4*q + 6*q, 4*q = 2*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 726\/7, -0.3, -0.014, 4, 1\/28 in decreasing order.\nAnswer: 726\/7, 4, 1\/28, -0.014, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23377000.\nAnswer: 2, 5, 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -j - 2, -4*j + p = -3*p - 8. Solve -3*t = -2*b + j, -3*t = 3*b - 6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**2 - 2*a - 11. Let h be o(5). Let s = 158 + h. Let f be (-3)\/(-12) + s\/12. Is f < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3\/5 + 25491*k**2\/5 + 127392*k\/5 + 101904\/5 = 0.\nAnswer: -8492, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((-75)\/(-6))\/(-5). What is the second smallest value in 3, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645*f + 141*f - 367*f - 244*f.\nAnswer: -1115*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 k when three letters picked without replacement from zzkzkzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4517 = 4*b - 8947, 4*i - 13468 = -4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 10*l**2 + l - 7. Let z be a(10). Suppose -r = -0*r - z. Suppose 0 = -r*b + 16 + 20. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/12 - 10*o**3\/3 - 204*o**2. Give m(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -13*h + 61 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -19*b. Let i(v) = -3*v**2. Let x(z) = z**2. Let f(t) = 2*i(t) + 7*x(t). Calculate c(f(q)).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f + 18 = 0. Is (-3 - -1 - f) + 3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -25 + (-4 - -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7*c + 4 + (-1 + 2 - 3)*(3 - 3 + 2*c) + c - c - c)*(-299*c**2 - 177*c**2 + 9*c**2).\nAnswer: 5604*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 101, -7, -2 in descending order.\nAnswer: 101, -2, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/42)\/(12\/216*-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 6. Let s = -181 + 180. Let y be c(s). Solve -m = 3*m + 2*a + 24, -3*a + y = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2045 - 10?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-41\/5)\/(w*w\/w**(-3)*w**12) assuming w is positive.\nAnswer: w**(-296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3640)\/(-325)*180\/(-504)*8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 37*z + 7. Give r(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15))\/((85\/(-6))\/17)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 1043 in decreasing order.\nAnswer: 1043, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 36. Let q be (10\/(-6))\/((-1)\/15). Let u = -11 + q. Calculate the smallest common multiple of u and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**1*y)\/y)\/y)**(-12)\/(y**2*y)**(2\/5))**36 assuming y is positive.\nAnswer: y**(-4536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9076886+-740\nAnswer: 9076146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6910.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/99 and -53\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*b - 11 = -1, 2*v - 10 = 4*b. Suppose -y + 3*o = 11, 0*o = -4*y - v*o + 7. Let i(w) = 5*w - 1. Let h be i(1). Sort y, h, -3 in descending order.\nAnswer: h, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, -2\/13, -0.5 in descending order.\nAnswer: 25, -2\/13, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 2*u**2 + 12*u - 9. Let g(c) = c**3 - 4*c**2 + 2*c + 7. Let x be g(3). Let y be v(x). Solve 0 = -y*k + 2*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12103 + 4869?\nAnswer: -a567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 124700 to the nearest 1000.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -15) + (79 - (-11 + 52))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88) + sqrt(88)*1))\/sqrt(8) + -3*(sqrt(11) + -1) + (1 + sqrt(704))**2.\nAnswer: 11*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 162 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 863\/16?\nAnswer: 863\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 26857831?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w**2 + 4*w - 2*w - w - 31*w**2 + 2*w.\nAnswer: -85*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 4*b + 3. Let q be r(3). Let n = -4 + q. What is the remainder when 42 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -82.55?\nAnswer: -82.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**15*g*g)\/(g*g\/g**0*g) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/75*-20*(-3)\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -619 + 651. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5503 - 6*k**3 + k**3 + 2652 + 487 + k**3.\nAnswer: -4*k**3 + 8642","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 24*k**2 + 49*k - 22. Is 14 a factor of y(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6379*d - 5658*d + 44702 = 0 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21776 + -21739. Solve -c = 13*b + 54 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f + 2. List the prime factors of q(5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 532.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (1 - (-267)\/(-12)). Let f = -20 - r. Are f and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16185 or -16183?\nAnswer: -16183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -4.03. Let h = -6074 + 6069. Which is the third biggest value? (a) h (b) 13\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k + 14. Suppose 0 = -2*n + u + 2*u - 17, -k*n - 28 = -5*u. Let f be 2 - (3 - (n - -4)). Calculate the greatest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -82\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 12*w + 36. Let j be f(-5). Suppose -139*q = -j*q. Solve -2\/3*b**2 + q - 2\/3*b**3 + 2\/3*b**5 + 2\/3*b**4 + 0*b = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 5. Let p(k) = 1 - 5 + 2*k - 2. Let t be (-8001)\/(-3048) + (-135)\/24. Give t*p(g) - 4*m(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 36\/(-12) - ((-7068)\/636 + -6) - 10.\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 3, s: 1, m: 2}. What is prob of picking 1 y and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-12)*-2 + 3\/(6\/11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/14 + -45\/182. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0498*181.52.\nAnswer: 9.039696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -29, -3 in ascending order.\nAnswer: -29, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-22 - -15 - (0 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000100111011 + -1?\nAnswer: -10000000100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(f**4 - 1 + 1) + 2*f**4 + f**4 - 4*f**4 - 285 - 15*f**4 + 285 as b*f**4 + w*f + v*f**3 + q + k*f**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose 3*k - 5*d = 12, -5*k + 0*d + 4 = -3*d. Let n = c - k. 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: Solve 3*j - 24*p = -87, 0 = -3*j - 470*p + 469*p + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmmojccmmojcjjcj. What is prob of sequence mm?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from wjjjyljjjnwnvwwnw?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/18 + (-2)\/(-3). Let d be 8\/j*18\/(-12). Suppose 0 = d*b - 8 - 4. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7660692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 5:40 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28526, 28523, 28510, 28481, 28430?\n\"Answer: -o**3 + o**2 + o + 28525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6938049 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -169, -2 in descending order.\nAnswer: 63, -2, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v**2 + 2*v. Let m(x) = -x. What is m(g(w))?\nAnswer: 16*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-27)\/(-30) + -1). Let g = -5 - -12. Let m = y - g. Solve 0 = x - 3, 4*f - 2*x - 3 = -m*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507*y**5 - 7*y**2 - 18*y - 99 wrt y?\nAnswer: -10140*y**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**7\/3360 + d**5\/480 - 73*d**3\/3 + 57. Let y(p) be the third derivative of t(p). Solve y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*u - 8, l - 9 = -2*l + 3*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 11*p - 12. Give h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2316179119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27723 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -285064, -285065, -285066?\n\"Answer: -s - 285063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55580 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3179952 - 3179952 - 3*q**2 - q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, f: 1, c: 1, j: 2, e: 1}. What is prob of picking 1 j and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 11\/5 (c) -1\/141 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (sqrt(304) - (-2 + sqrt(304)))**2 - sqrt(304)) + -3*1*sqrt(304)*3.\nAnswer: -40*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*n = -17, 5*p - 8*p - 5*n - 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 1. Let f(a) = -4*a**3 + 6*a**2 + 6. Give -f(c) - 6*t(c).\nAnswer: -2*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-6)*j)\/j)\/(j*j**4*j))\/(j**5\/((j*j\/j**(-1\/5)*j)\/j*j)))\/((j*(((j\/j**(-1))\/j)\/j)\/j*j*j)**7*(j**(-1\/5)\/j)\/j**(3\/4)) assuming j is positive.\nAnswer: j**(-517\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 11 - 3. Let y be 2*(i + (-68)\/(-8)). Solve 3*z - m - 3 = -11, 0 = -4*z - m - y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.59 (b) 3\/7 (c) -0.1 (d) -0.2 (e) 4 (f) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -17) + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*x - 0*w + 4*w - 18, w = 6*x - 7 - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.49620053 rounded to 3 dps?\nAnswer: 145.496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 78\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16006 - -15893.001. Let g = z + 113.7. Round g to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*3*(-40)\/(-48). Suppose x - 3*s + 5 = -0, u*x - 3*s - 11 = 0. Suppose x*v = -0*v. Is v at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-112)\/8)\/(-14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**5 + 3*n**3*v + 7*n**3 + 11*n**2*v + 2*n**2 wrt n?\nAnswer: 60*n**2 + 18*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**10\/166320 - k**8\/18480 + k**6\/3960 + k**4\/12 + k**2. Let a(t) be the second derivative of l(t). Factor a(d).\nAnswer: 2*d*(d - 1)**2*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580, 690, 848, 1048, 1284?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290676061?\nAnswer: 19, 67930319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1789 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnnndnnrmnn. What is prob of sequence nnd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*k + (k + 4*k - 2*k)*(-5 + 2 + 5))*(0 + 3 - 2).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y + 352223 = -y - 1145018. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 343125*f**2 - 6125208375*f + 8097877379375.\nAnswer: -5*(f - 33595)**2*(f - 1435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - 0.02. Suppose 0 = -86*p + 76*p + 10. What is the nearest to -3 in k, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(2 - 1) - (-5 - 215) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25029196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16515 by 21.\nAnswer: 5505\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3262.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1519559\/76 - -19993. Find the common denominator of -61\/44 and r.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**4\/24 + 5*c**3\/6 + 3*c**2. Let d be r(-6). Let u = d + 3. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 13, h: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 431311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 301?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 29261*x - 30. Is j(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 - w - 4. Let d be l(4). Let z be 20\/d + (-2)\/(-4). Let i be z\/6 + (-22)\/(-30). Sort i, 0.8, -0.5 in descending order.\nAnswer: 0.8, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0.5, -1\/3, -5, 2\/5, 94?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -20. Let d = c + -3. Solve 4 = 3*r + n + 14, d*n - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2398, 4718, 6960, 9124?\n\"Answer: -39*q**2 + 2437*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 855*m**2 + 48*m - 11. Is x(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439864167.7 to the nearest 1000000.\nAnswer: -440000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v. Let h(f) = -119*f**2. Determine j(h(w)).\nAnswer: -1428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from ezizvbj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*r = 113 + 136, 3*k - 4*r = 139. Suppose -4*i + 6*i = 10. Suppose -i*l + 52 = -l. Calculate the remainder when k is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 2}. What is prob of picking 1 p and 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 9 (c) 106\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {z: 7, q: 1, b: 6}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + (4 - 3) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + j - 19. Let r = 170 + -54. Let d = r + -116. Give n(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58548?\nAnswer: 2, 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1786391 - -53458742\nAnswer: 55245133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:58 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8790, 8313, 7076, 4701, 810?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 63*d**2 - 5*d. Let x(b) = 94*b**2 - 8*b. What is -8*f(h) + 5*x(h)?\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))**32)**(-8) assuming o is positive.\nAnswer: o**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5521 or -25\/58?\nAnswer: -2\/5521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.543 - 1.195. Round s to 1 decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71903 by 51.\nAnswer: -71903\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 6*p**2 + 6. Let c be 4 + -8 - (-1 + -9). Let m(t) = -14*t**3 + 77*t**2 + 77. Give c*m(x) - 77*w(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427, -3, 1 in ascending order.\nAnswer: -3, 1, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 482, 991, 1490, 1973, 2434?\n\"Answer: -o**3 + o**2 + 513*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Let m be 182\/49 - (-6)\/3. Let y = 38\/7 - m. Sort d, y, 1, 1\/3 in increasing order.\nAnswer: d, y, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytpxytyyygyeygety. What is prob of sequence eye?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -2\/5 (c) 5 (d) 0 (e) 664\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 7*n - 3. What is g(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287290454 divided by -421247.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1377853293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 - 237*n**3\/2 - 459*n**2\/4 + 474*n + 471 = 0.\nAnswer: -157, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21568227 equal to 21568226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9768261 times 0.1?\nAnswer: 976826.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 31. Let c be 228\/54 + 2\/(-9). Suppose c*f - 534 = 582. What is the highest common factor of f and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = 2*w. Are w and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let n(w) = 1. Let a(z) = -c(z) - n(z). Let k(q) = 7*q + 2*q - 4*q. Calculate k(a(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 19*o = -46*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(2\/5))\/q)**(-37)\/(q**1)**(2\/151))\/((q*q*q\/q**(1\/6))\/(q*q*q*q*(q\/(q\/q**(-4)))\/q*q))**(2\/49) assuming q is positive.\nAnswer: q**(-2478172\/110985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(250) + -2*sqrt(250)))\/(sqrt(30)\/(sqrt(3)*-1)))\/(-4*sqrt(720) - sqrt(60)\/(sqrt(12)*4)).\nAnswer: 16*sqrt(5)\/193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 1076*d**2 - 13*d - 3*d.\nAnswer: -1076*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 407 = -119*n. Sort -3, n, -270\/11 in ascending order.\nAnswer: -270\/11, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 18. Suppose 0 = -0*z - y*z. Suppose -1\/4 + z*c + 1\/4*c**2 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(5) + sqrt(5) + -1*sqrt(5) + sqrt(180) + 2.\nAnswer: 5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.75 + 0.1. Let c = m + -0.05. Round c to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:20 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/42 + n**6\/8 + 3*n**5\/4 - 115*n**4\/24 + 10*n**3 - n**2 - 22*n. Suppose q(w) = 0. What is w?\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 3*x**2 + x + 2 + 0*x**2 - 2*x + 35*x**3. Does 12 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 - 95*a**3 - 5725*a**2 - 56745*a - 121680 = 0.\nAnswer: -13, -3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 347344 - -76915?\nAnswer: 424259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(2\/71)*((d\/d**(-1\/4))\/d)**(-41) assuming d is positive.\nAnswer: d**(-2915\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 4\/((-5)\/((-110)\/4)). What is the highest common divisor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7812.369 grams?\nAnswer: 7812369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l + 1. Let m = -5 + 4. Let p(y) = -7*y**2 + 3*y. Let s(d) = m*p(d) - 3*o(d). Let q(f) = 7*f**2 + 2*f - 2*f - 5. Calculate -3*q(t) + 5*s(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*45\/10. What is the hundreds digit of (-17 + 18)\/((3\/(-206))\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.6 + 11.534. Let l = 0.06452 + o. What is l rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -437964 or -438062?\nAnswer: -438062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j. Solve -1 = -r, j*g + 5*r = g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) - -3 - -5. Let z(b) = 2 + 13 - 2*b + 0*b + b**3 - 2*b**3 - u*b**2. Is z(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 901184?\nAnswer: 901184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/7 - 128*g**4\/7 - 557*g**3\/7 + 7046*g**2\/7 - 10824*g\/7 = 0. Calculate g.\nAnswer: -123, -11, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezezeeeeze. Give prob of sequence ezzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 216 = 4*a, -4*a + 250 = -4*c + 690. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.5 (b) 1\/12 (c) -1\/7 (d) 1098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9987*l**5 - 9509*l**3 + 105395677*l wrt l?\nAnswer: -199740*l**3 - 57054*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((100655\/(-34440))\/491)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1 + 36 + (66 - 81))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 94. Let m = -71 - t. Solve 2*x = -0*x + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104259 + 104219.0094. Let v = -28 - -68. Let l = x + v. Round l to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6551719, 13103438, 19655157?\n\"Answer: 6551719*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0059497602 rounded to four dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35768281.\nAnswer: 29, 107, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2610*r - 3249*r = -148*r + 193*r + 153504 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/19, -1\/8, 0.02 in increasing order.\nAnswer: -1\/8, -1\/19, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24639 - -24662.994. Let i = y + -24. What is i rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(325) + -5 + -5*(1*sqrt(78))\/sqrt(6)*-6.\nAnswer: -3 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 - 174. Solve 17*u = t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-144464)\/(-32) - (-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -60, -74, -88, -102, -116?\n\"Answer: -14*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 847 and -8.\nAnswer: -6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-8 - (-3 - -3) - -4 - -19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -z + 7, -2*b + 3*z + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 38*n + 36. Let g be q(15). Let y = -141 + g. Solve -4*c - f + 8 = 0, c + 5 = -y*c - 2*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aazzgaz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2352168495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 220*j. Let d(h) = -h + 706. Give v(d(m)).\nAnswer: -4*m**2 + 5428*m - 1838424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o - 5*j + 35, -4*o = -5*j - 10. Suppose 0 = -o*i + 4*i + 5. Find the third derivative of 10*d**2 - 10*d**2 + 5*d**2 + i*d**4 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j*s**2*w + 4*j*s**2 + 4*j*s*w - 3756*j + 50*s**2*w + 13*w wrt w?\nAnswer: -j*s**2 + 4*j*s + 50*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 - 7*h + 7. Let l be q(-6). Let w = l + 5. What are the prime factors of 73\/6 - (-3)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2982 - 2954. What is the greatest common factor of 116 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 8, 3, -2\/25, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujzjjzjzzzzjzu. Give prob of sequence zjzj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21) + ((-778)\/70 - (-9)\/(-15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 469 + -471. Which is the closest to l? (a) -1\/6 (b) -0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358653 is divided by 358473?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*k - 5*s + 126, -2*k - 26*k + 5*s - 309 = -156 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18099032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-10))\/(6\/(-15)). Let r = -36 + -3. Let q = -27 - r. What is the nearest to -0.1 in 0.5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14662067364 to 6 decimal places.\nAnswer: -0.146621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 1. Let g(b) = 28*b + 4. Give -g(o) - 2*q(o).\nAnswer: -32*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 equal to 0.05841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.669 less than -1?\nAnswer: -3.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:55 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16.8 (b) -1 (c) -2 (d) 1\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n = 1 - 520 + 22 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.249849mm?\nAnswer: 0.000006249849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8942942193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/360*y**6 - 3*y - 5\/6*y**3 + 0*y**4 + 0*y**2 + 0 - 1\/120*y**5. Let d(u) be the second derivative of v(u). Factor d(l).\nAnswer: -l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 2*v, 3*o = 2*v + 8*o + 6. Suppose -4*q - 4*i = -v*i - 424, 0 = 2*q - 5*i - 236. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/12 + 11*d**3\/3 - 9*d**2 + 3. Let b be i(6). Solve -b - 9 = 3*n - 4*p, 4*p - 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:45 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 3. Let h be u(-4). Let g = -119 - -124. Suppose -8*s - g = -h*s. Is s at most -3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 3\/70*u**7 + 1\/12*u**4 + 0*u + 40*u**2 + 0 - 3\/20*u**5 + 0*u**3 - 1\/60*u**6. Factor y(b).\nAnswer: b*(b - 1)*(b + 1)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(21*65\/(-4095))\/((16\/546)\/(-2)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*(21 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**2 - 106*t + 104. Let v(n) = 10*n**2 - 70*n + 70. Let g(x) = -5*c(x) + 8*v(x). Factor g(y).\nAnswer: 5*(y - 4)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 23b3285?\nAnswer: -23b328b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 207 + 27 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407772 - 286*c**2 - 2*c - 407772 to q*c + z + o*c**2 and give o.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c + 3*j - 56, -4*j = 4*c - 56. Let a = 25 - 11. Let d = a + -3. Solve 3*i - 3*g + c = -2*g, -2*i - d = g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*s - 0*s + 13, 0 = y + 3*s - 11. Let z = -3 - -4. Let q = 2 - z. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 9693.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:49 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = h + 4*g, -2*h - 3*g = h - 15. Suppose -3*j - 7*x = -3*x - 10, -3*x + 3 = h. Solve 3*k + 13 + j = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*12*(-9030)\/(-5160).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8427 - 8422. Let u(q) be the second derivative of -q**4\/12 + 2*q**3\/3 + q**2 - q. Determine u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14770 - 14773. Which is the closest to k? (a) -0.5 (b) 23 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*g - 4*g - 2, 0 = -g + 4*w - 8. Suppose g = 16*h - 11*h. Suppose h = o - 30 - 21. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**3 - 46*q**2 + 315*q + 39. Let o be d(-12). Find i, given that -10*i**2 - 5\/3*i**o - 15*i - 20\/3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276742?\nAnswer: 2, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5\/5 + 3*i**4 + 89*i**3\/5 + 261*i**2\/5 + 378*i\/5 + 216\/5 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1681 divide 481038396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, 0.03, -46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 0.2 (c) -2 (d) -156\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(250))\/sqrt(6).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -862, -23180, -88422, -218050, -433526, -756312, -1207870?\n\"Answer: -3577*s**3 + 2721*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (29700\/8800)\/((-2)\/32)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 - 2*v**5\/15 + v**4\/6 - 17*v**3\/3 - 16*v**2. Let q be f(8). Put q, -4, -14 in descending order.\nAnswer: q, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*x + 22645*x**5 - 7*x + 1384*x**2 - x - 2*x - 8308*x**5 + 1 wrt x.\nAnswer: 860220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 11) to base 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 2*s**2 - s**2 + 56.\nAnswer: -3*s**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2444 - -2449. Which is the nearest to 2\/7? (a) 2\/3 (b) k (c) 108 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 + -295.954.\nAnswer: -134.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7336\/3 - 2446. What is the closest to 2\/9 in f, 4, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1126884892 to the nearest one hundred thousand.\nAnswer: -1126900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + 70\/6. Let g = 18 - z. Suppose -g = -h - 2*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i**1*((i\/(i\/i**(-5)))\/i)\/(i\/(i**7*i)*i))\/(i**(-4)*i**(3\/7))**(-6\/25) assuming i is positive.\nAnswer: i**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f - 8. Let y(h) = h**2 - 5*h + 8. Let z(u) = 4*o(u) + 3*y(u). Let t be z(8). Solve i - 1 = -2*k, -4*k + 5*k + 3*i - 13 = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 33. Suppose 0 = -322*h + 155*h + 154*h - 182. Let w(z) = -10*z - 100. Calculate h*t(l) - 4*w(l).\nAnswer: -2*l - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37902*0.0694.\nAnswer: -2630.3988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 10210022111000?\nAnswer: -10210022111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 26*u + 627. What is the units digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06275*-0.03888\nAnswer: -0.00243972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27008, -26996, -26982, -26966, -26948, -26928, -26906?\nAnswer: -26882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 5*k - 21 + (1 - 1 - 3)*(0*k + k + 0*k) to g*k + p and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2523 - 2361. What is the greatest common divisor of 24 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 12. Let t = k - 5. Let 2*z**2 - 2 - 8*z - 2*z**3 + 0*z + t*z**3 = 0. Calculate z.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109393000?\nAnswer: 2, 5, 139, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x**2 + 2*x + 4. Let d = 11 + -15. Let m be u(d). What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 22*v + v + 13*v + 15. List the prime factors of g(3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m. Suppose m = s - 5*s. Solve s*j = -5*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/2328729 and 157\/459186.\nAnswer: 32602206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4dad3 + 2?\nAnswer: 4dad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.055448 in -12, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - 10) + (-1 - 1 - (-13 + 5)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*h - 89*h - 10 - 85*h + 318*h.\nAnswer: -h - 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -1\/45*d**5 + 1\/72*d**4 + 0*d + 1\/6*d**3 + d**2 + 0. Suppose h(y) = 0. What is y?\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -11.1. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72311 is divided by 36109.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5192921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 16*m**2 - 15*m + 36. Calculate the smallest common multiple of h(-17) and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8528 bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -25, -28, -13, 26?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 165. What is the first derivative of n + 22*u - 25 + 2*u**2 + 10*u + 24 wrt u?\nAnswer: 4*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4029, 8057, 12085, 16113?\n\"Answer: 4028*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-18)\/(-189))\/(5\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 340, 504, 668?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2444110 divided by 5\nAnswer: -488822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/4 - (-59)\/(472\/568).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a63 (base 11) to base 12.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5\/2)\/i)\/i*i)**(-39)\/(i\/i**(-1\/5))**(-34))**(-22) assuming i is positive.\nAnswer: i**(-19503\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128, 483, 1064, 1871?\n\"Answer: 113*j**2 + 16*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or 0.4803514?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xayn when four letters picked without replacement from aagaxgxjxyan?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/16*(-12)\/(-171)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -648*c**4*w**3 + 60*c**4 - c*w**3 + 112*c*w + 203*c - w**3 + w wrt c?\nAnswer: -7776*c**2*w**3 + 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 308*o**2 - 2648 with respect to o.\nAnswer: 616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24121, 45575, 67025, 88471, 109913, 131351?\nAnswer: 152785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 65 = -4*a. Suppose -f = -57 - a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6008710 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*y + 5*y - 6*y in the form b + u*y and give u.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175364?\nAnswer: 2, 7, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 6979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 12, 8*y = -10*c + 7*c + 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39594?\nAnswer: 2, 3, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + i + 6, -c - i = -0*c - 2. Let f = -1 - -0.6. What is the third smallest value in 3, c, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -45. Let u(h) = 2*h**2 + 3*h. Let q be u(-2). Let c = q - a. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*a + 14, -2*l - 11 = -l - a. Let u(f) = -f**2 - 7*f + 2. Calculate the remainder when 23 is divided by u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 253?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*p = -210599995, -2*p = -5*h + 104163209 + 422336789. What is h rounded to the nearest one million?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -17, 61, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6503 + -566746?\nAnswer: -575451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 693 + 407 = 0. Calculate the smallest common multiple of 30 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (2 + (sqrt(2299) + 1 - sqrt(2299))*-3)**2*4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 0.023.\nAnswer: 0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 1, f: 1, e: 1, o: 1, q: 2}. Give prob of sequence oq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 196833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53889363 and 80883.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-18)*x**(-4\/5)*x*x*x**(-3))**(-19\/5) assuming x is positive.\nAnswer: x**(1197\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976 = 62*i + 90*i + 240 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 30 = 5*f. Suppose -3*c + 6 = -2*y, -1 = -5*c - y + 22. Suppose 0 = c*k + k - f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*g, 2*z = 5*g + 12 - 0. Let k be (24\/g - -6) + (1 - 1). Let s be (-2 - -5) + 6\/k. Let u(t) = -t**2 - 2*t. What is u(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -7*c + 1336. Let u = 447 - c. Let 0*f + u*f**4 + 0 + 12*f**2 + 90*f**3 + 243\/2*f**5 = 0. What is f?\nAnswer: -2\/3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n - 3 - 5\/3*n**3 + 0*n**2. What is the first derivative of z(w) wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (318\/1431)\/(((-4)\/(-6))\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**2 - 204*z + 10. Give j(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -42\/5*k + 36\/5 - 16\/5*k**4 + 2\/5*k**5 + 8*k**3 - 4*k**2 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.01, 0, -7\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 768846, 1537544, 2306242, 3074940, 3843638, 4612336?\nAnswer: 5381034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15681 (b) 3 (c) -56\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926d (base 16) to base 13.\nAnswer: 140a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-12 + 3 - (1 - (9 + 3)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/7 (b) 3\/7 (c) 2\/7 (d) -3.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8)*r**3)\/(r**(-1\/5)*r)**(-6\/7))**32 assuming r is positive.\nAnswer: r**(-3712\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (3 + 12\/(-3)). Find the third derivative of 18*f**2 + 0*f**5 - 10*f**z - 2*f**2 + f**2 wrt f.\nAnswer: -600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - 1.85. Which is greater: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 23514 = -3*f, -39178 = -5*n + 3*f - 2*f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 r when four letters picked without replacement from {r: 1, u: 7, d: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q + 24 = -438. Calculate the remainder when 90 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1288 and -5\/644.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10575 - 22?\nAnswer: 10553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(20\/(-5))\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004137 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2878.\nAnswer: 1151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:18 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/(-8) - -3) + (-9)\/(-36). Let m be 2 + (3 - (-54)\/(-10)). What is the closest to 0 in -1\/4, m, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26444 and 5148.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k = 380 + 100 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*(-1)\/11)\/((-68)\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 5 = 3*k, -4*s - 2*k + 6 = 0. Find the second derivative of -4*l**2 + 3*l**2 + l - 5*l**s wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**2 - 2*m - 4. Let l be q(-3). Let d be l\/(-14) - (-2)\/7. Solve 2*p = p - d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 1, g: 1, e: 2}. Give prob of picking 1 e, 1 g, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 + 6*f**2 - f - 19. Let b(d) = -d**3 + d**2. Give -5*b(y) + s(y).\nAnswer: -2*y**3 + y**2 - y - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -930*q**4 - 24 + 66*q**4 - 17 + 55*q**4 - q wrt q.\nAnswer: -3236*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 3*r**3 - r**4)*(7 - 10 - 11) - 4*r**4 + 6*r**4 + 4*r**4 + ((-r - 2*r + 6*r)*(2 + 4 - 4) + (-4 + 2 + 0)*(0*r + 2*r - 4*r))*(4*r - 4*r + 5*r**3).\nAnswer: 70*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/294476 and 47\/17742179?\nAnswer: 70968716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177496566.\nAnswer: 2, 3, 13, 23, 98939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -9?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1\/3*n**3 + 3 + 0*n + 0*n**2. Determine q, given that m(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:57 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970369093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 18 + 14. Suppose -5*m + 50 = -4*q, 0 = 7*m - 2*m - i*q - 40. Suppose 2*s = -m*s - 0*s. Solve s = -j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-237 - -97 - -40) + 184?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k**2. Suppose -12*r + 10276 = -13208. Let g(u) = -r + 12*u**2 + 1957 + 5*u**2. Calculate g(l(c)).\nAnswer: 3332*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (1 + sqrt(243) + 0 + sqrt(243))*5 + -5)**2*-1*3.\nAnswer: -72975 + 2700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -157.89 - -2\nAnswer: -155.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 1 - -12) + 1 + (-27 - 11).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 171*(7 + -6) + 0. Let a = -44 - -19. What is the common denominator of -51\/20 and (66\/a)\/(5 - h\/15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 484708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 2*c - 1. Let u be l(1). Let r = 37 + -27. Suppose 4*p - k = 20, 3*k + 0 + r = 2*p. Solve 21 = -p*q + u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - 18 - -6)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 + 6*b**2 - 4*b + 2. Let j(w) = 16*w**3 + 31*w**2 - 20*w + 10. Let x(t) = -11*h(t) + 2*j(t). Let z be 10*(-18)\/27*(-18)\/96*-4. Give x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 5\/3, 89, -5\/9, 4?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 3*r - 3. Let l be g(-6). Let i = l + -2. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**3 + 2*l**3 - 5*l**3)*(-466 + 313 - 523) - 5*l**3 + 4*l**3 + 2*l**3 to z + t*l**2 + k*l + a*l**3 and give a.\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgol when four letters picked without replacement from {o: 3, r: 5, l: 3, s: 1, n: 1, g: 1}?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31941745129775 and 0.\nAnswer: 31941745129775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304626 (base 7) in base 14?\nAnswer: 45c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -72*t + 2. Let g(i) = 43*i**2. Determine a(g(z)).\nAnswer: -3096*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6 + 1)*(55077 + -5). Round s to the nearest one thousand.\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392053279 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v\/v**(-7))*v)\/v)\/v*v)\/v)\/((v**(-4\/9)\/v)\/v))\/(((v*v**(10\/3))\/v)\/(v*v\/v**(-3\/7))) assuming v is positive.\nAnswer: v**(-470\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0167454 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 + 8*c - 5. Suppose -3*h - 12 = 0, -5*h - 44 = -3*j - 0*h. Let p be t(j). Suppose -3 - 3 = -3*z. Put z, 5, p in increasing order.\nAnswer: p, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**7\/z)\/z)\/z)\/(z*z\/((z**(-1\/4)\/z)\/z))*z**(1\/4)\/((z**(-4\/5)*z)\/z)*(z**(-2))**(-1\/19)*(z\/(z**(-2\/5)*z))**23 assuming z is positive.\nAnswer: z**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 3, -3 = 2*b - 3*v. Suppose -57 = b*u - 0. Let k = u + 32. Solve 12 = -5*c - k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + 7)) + 54 + -270 + 283?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -12. What is the tens digit of 129\/f + 0\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 261 and -51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z + 4*z - z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596960?\nAnswer: 2, 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.088.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 4*l**2 - 46*l - 50. What is h(5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*y + 581*y**2 + 406*y - 2897*y**2 + 60*y wrt y?\nAnswer: -4632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48838081339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 - 9*o + 19. Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6808 + 3382. Let s = u - -3426.001449. What is s rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/168 - 0) + (9 - (-552)\/(-56)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -138.9, 3, -0.2?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d + 0*d - 3*d)*(-15 + 9 - 6) as i + y*d and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 1)*(-129*c - 157*c + 288*c + 441).\nAnswer: 2*c + 441","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1332)*(33\/363 + (-639)\/495)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/((-7)\/56). Let b be 21\/(-14)*v\/(-3). Solve 0*d + b*r + 16 = d, r = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (4 - (5 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1757142*a**2*z**3 - a*z + 2*z**3 + 122*z wrt a.\nAnswer: -3514284*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 136. Give n(-21).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 180 + -156 + -57 + 0 - (1 + 8)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41\/6 - 19\/3. Factor 0 + 0*b**2 + c*b**4 - 1\/4*b + 3\/4*b**3.\nAnswer: b*(b + 1)**2*(2*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 7*h - 6. Let n be c(8). Suppose -2*u + 380 = n*u. Let a = u - -59. What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -123. Calculate the common denominator of -97\/96 and 3 - (c\/80 - 2).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1188*c**2 + 1193*c**2 - 2*c - c**4 - 15*c**4 + 3*c**4 - c**3 - 2 in the form x*c + w*c**3 + i + b*c**2 + d*c**4 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2031*t**3 + 60582*t - 60582*t)*(-25 - 23*t + 25)*(-1 + 1 - 1) as m*t**4 + x*t + p + f*t**3 + h*t**2 and give m.\nAnswer: 46713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*u - 6*u + 2*u)*(15*u**3 - 265*u + 265*u).\nAnswer: -15*u**4 + 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-4)\/(-65)) + 5. Suppose b + 74 = 3*j. List 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 the closest to 1\/4 in 26\/11, 2\/7, 2, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + u**2 + (4*u - 3*u - 2*u)*(4*u - 5*u + 3*u) + (0*u + 0*u + 2*u)*(-1 + 1 + 2*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 138 - 137 - 2*i**4 + 3*i**4 + 2*i**3 as n + q*i + b*i**3 + h*i**4 + g*i**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 127. Suppose -5*m + 38 = -0*m - 2*h, -3*h = 2*m. Let g be 3\/d + 1 + m. Solve 0 = 2*z - g, 3*i = -z - 3*z + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 255\/2920 - 6\/48 and -109\/22?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w - 4. Suppose 5*o = -5*f + 5, 3*f + 0*o + 25 = 4*o. Let u(h) = -4*h + 2. Determine f*c(k) - 7*u(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 2\/11, -0.2, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 843, 6416, 21533, 50964, 99479, 171848?\nAnswer: 272841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-5)))**(-3)*((z*z**(-2\/3))\/z)\/z**(-3) assuming z is positive.\nAnswer: z**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. What is the least common multiple of 6\/((-4)\/4 - j) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:17 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667235.325 rounded to the nearest one hundred?\nAnswer: 667200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0.6 (c) 307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5378 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253, 300, 411, 616, 945, 1428?\n\"Answer: 5*z**3 + 2*z**2 + 6*z + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*f + 15 + 1 = 0, -2*f - 6 = 0. Suppose -6*i = 4*k - 4*i + u, -3*i = -3*k - 3. Which is the second biggest value? (a) -1.5 (b) k (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-355)\/(-9) - 20\/45. Solve 82 = 43*u + b*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**3\/2 + 47*k. Let t(d) = -d**2 + 2*d - 2. Let w(h) = -h + 1. Let p = 5 - 7. Let b(n) = p*t(n) - 4*w(n). Give f(b(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 179*b**5\/60 + b**4\/8 - 64*b**3\/3 + 2*b**2 - 295*b. What is the first derivative of c(o) wrt o?\nAnswer: 358*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12253 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i = -127 + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 33*p = 35*p - 12, 3*c = 4*p + 39. Suppose 100*j + 115*j - j**3 - 195*j + c*j**2 + 2*j**3 + 12 = 0. Calculate j.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 99*a**2 - 93*a + 482. Give c(-98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.280361567 to five dps.\nAnswer: 0.28036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/(c*c\/(c**(-1\/9)\/c)))*c))\/c*c\/(c\/(c\/(c*c\/c**(-9)))) assuming c is positive.\nAnswer: c**(-118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14049*c = -14009*c - 80. Suppose 0 = -m - h + 1, 0*h - 4 = 5*m - 4*h. Put 3, m, c in decreasing order.\nAnswer: 3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + x + 16. Let n be q(0). Let o be 11\/(44\/8) + (-1 - 1). Suppose 28 = 7*i - o. Solve 2*p - i*p = -3*m + n, 4*m = 5*p + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 215*m**2 - 81 - 207*m**2 - 3*m - 4*m as q*m**2 + x + a*m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4845, -38789, -130949, -310437, -606365, -1047845, -1663989, -2483909?\n\"Answer: -4852*r**3 + 4*r**2 + 8*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 16. Let v be w(12). Let r = -7 - -8. Solve 2*m - v = -3*c, r - 5 = 2*m - 3*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 9*t**2 + 13*t - 13. Suppose 2*f + 65 - 11 = -3*d, 0 = d - f + 13. What is the remainder when ((-158)\/8)\/(4\/d) is divided by c(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -212 (b) -0.2 (c) 1\/5 (d) -3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 2*b**2 - 4*b - 5. Let o(a) = -2*a**3 + 2*a**2 - 3*a - 4. Suppose 0 = 5*v - 39 - 41. Suppose 4*n = v - 4. Calculate n*q(f) - 4*o(f).\nAnswer: -f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8425, 8857, 9289?\n\"Answer: 432*q + 7993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 411831?\nAnswer: 1647324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -4b1?\nAnswer: -4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 128*z + 1029. Determine a(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6090223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22.4*6\nAnswer: -134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 549179300 to the nearest 1000000.\nAnswer: 549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114026 divided by 1606.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 9*t**2 - 19*t + 10. Let y be h(6). Suppose 261 = y*r - 751. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/486704, 5, -1\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:18 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + sqrt(396) + (-5 + sqrt(396)*1 - sqrt(396)))*-5)**2.\nAnswer: -3000*sqrt(11) + 40225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20798\/13 at most -1599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 + 5) - -2 - 16 - -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273 take away -973463069?\nAnswer: 973465342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6 + (-28)\/(-16)). Let n = 2463\/2635 - z. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 269 + 39. Let f be 1 + -10 - (m + 11). Solve 2*n - 7*n = -5*w + 20, f*w = 5*n + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3835463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 - 30*q**2 - 38*q - 123. What is the remainder when k(17) is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 6*t**3)*(4*t**2 - t**2 + 0*t**2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(832) - sqrt(13)).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -2) + 9 + 5 + (4 - 35).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04731 to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 497879 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -19*f + 24. Let y be x(5). Let s = y - -74. Find the second derivative of 6*v**s - 27*v**3 + 0*v + 13*v wrt v.\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3 = -3*i + 5*f, -10 = -4*i + 2*f. Solve i*j = 2*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, -1165, -2010, -3187, -4696, -6537, -8710?\nAnswer: -11215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/(k*(k*(k\/(k\/(k**22*k)))\/k)\/k)))*k\/((k*k\/(k*(k*k*k**(2\/7)*k)\/k))\/k) assuming k is positive.\nAnswer: k**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445\/6 - -224\/3. Let -1\/4*u**5 - o*u**2 + 0*u**3 + 1\/2*u**4 + 1\/4*u + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171 - 83. Let q = b - 87.9999542. Round q to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9068\/3 + 48613\/15. Suppose -3*v = -156 - 501. Let q = r - v. What is the smallest value in 0.3, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**3 - 62*a**2 - 17. Suppose -3*s - 253 = -4*k, -3*k + 41 = 4*s - 130. What is the remainder when k is divided by i(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (66 + -62 - (4 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5848.3 and 90.\nAnswer: 5938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33140 + -23335. List the prime factors of j.\nAnswer: 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77) + sqrt(77))*5 + sqrt(77))\/(sqrt(56)\/sqrt(2)))**2 + -3*(-2*sqrt(396)*-5)**2.\nAnswer: -118096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1)\/((-2)\/(-2)). Let j be 116003\/h + (2 - -1). What is j rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23561 is divided by 831.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**4 + 10*b**3 + 6*b**2 - 165. Let i(w) = 46*w**4 + 110*w**3 + 68*w**2 - 1816. Let j(f) = 6*i(f) - 68*n(f). Differentiate j(m) wrt m.\nAnswer: 16*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/((2\/(-5))\/2). Let n(g) = g + 8*g**2 - t*g**2 + 2 + 0 - 5*g**2. Give n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 12 = i, -3*i - 2603*o = -2608*o + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1346)\/(-10768))\/((-1)\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/87 + (-4466976)\/(-696)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 4*z**2 - 318*z**3 - 325*z**3 + 706*z**3.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 11. Let d be k(9). Let x = d - -29. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5893874 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -3*a + 45. Suppose 3*u = -4*s + 108, -2*s = -2*u + 2*s + a. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12507*q**2 - 2029 wrt q?\nAnswer: 25014*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose 0 = -h*c + 472 + 483. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 17. Let h be b(11). Solve -p - 2*p = h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 + 1 = 0. Let n(h) = 3*h**2 - 4*h + 2. Give n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3. Let q be v(-1). Suppose -4*l + 15 = 3. Solve h - q = -l*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 48, 85, 136, 201, 280, 373?\n\"Answer: 7*z**2 + 2*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2227?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 231 = -3*r - 0*r, 4*r = a + 321. What is the remainder when r is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let p(o) = -11*o + 5. Let n(g) = 27*g - 12. Suppose 0 = 3*c + 4*x + 11, -3*x = c - 8*x + 10. Let f(t) = c*n(t) - 12*p(t). What is f(v(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 3, k: 1}. What is prob of sequence ppk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*o = l + 7, 2*o + 7 = l. Let d(j) = j - 1. Let t be d(l). Suppose 3*h + t*h = -9. Which is greater: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07253161*8\nAnswer: 0.58025288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-41*(-132)\/63140)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 90*c**2 - 4*c - 2. Let y be x(-3). Let v = y - -939. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 87490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77901679571510.999858 + -77901758233593. Let t = 78661987 + k. Let o = -95 - t. What is o rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 6:45 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 25, -3*f = 2*f + z + 33610. Let g = f + 147951\/22. Find the common denominator of g and -39\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30485 + -8941. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362506 is divided by 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*x - 8, -4*x + 14 + 2 = -5*j. Suppose j = 2*l - 2 - 8. Solve -l*g = -2*v - 2*v - 17, -2*v - 3 = 3*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68430864.2 rounded to the nearest one hundred thousand?\nAnswer: -68400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018825978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 + 38*n**3 - 43 + (-2*n**3 + 2 - 2)*(-4 + 4 + 5).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 920434 or 1840867\/2?\nAnswer: 1840867\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 588 + -325. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15)*a*a**32)\/(a**(-27\/4)*a**(2\/11)) assuming a is positive.\nAnswer: a**(1081\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, w: 1, u: 1, k: 4, p: 4}. What is prob of picking 1 p and 1 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.024 + -2. Let a = 2858.97631 + -2859. Let l = g + a. What is l rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*p - 29*p + 83*p - 2)*(4*p + 325*p**2 - 6 - 168*p**2 - 156*p**2) as f + u*p**3 + c*p + k*p**2 and give c.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4237 - 4225. Solve -830*y - h = -836*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -587.731, -2, 0.2 in increasing order.\nAnswer: -587.731, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38549, -37586, -36597, -35570, -34493, -33354, -32141, -30842?\nAnswer: -29445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255408611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -16*g**5 + 160*g**4 - 132*g**3 - 116*g**2 + 68*g + 36 = 0?\nAnswer: -1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 4, m: 1, k: 2, o: 1, h: 2}. Give prob of sequence okm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/339 and -127\/24.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101 - 421?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1177.05 and -344.\nAnswer: 404905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*i - 760*i**2 + 2268*i**2 - 756*i**2 - 756*i**2 + 112*i + 113*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11126715 is divided by 445?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 h, and 1 p when four letters picked without replacement from {p: 4, g: 5, k: 3, f: 1, v: 1, h: 4}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(1216)*-2) + ((sqrt(1216) + 2*sqrt(1216) + -5)**2 + sqrt(1216) - (sqrt(1216) + -1*sqrt(1216)*-2)**2))*-6.\nAnswer: -168 + 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4\/3, -4\/7, -1, 1 in increasing order.\nAnswer: -10, -1, -4\/7, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 900791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2860 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-1\/4))\/(o**(-8)*o))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 1.89999831. Round d to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -77*h + 388. Let c be y(5). Is 57531\/c + (6 - 9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*(-1 + 2). Let p = -12 - -11.6. Let i = -0.01 + 2.01. Which is the closest to i? (a) u (b) p (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-2 - -2) + 4. Suppose -m*k - 39 = -3*a, -k = k. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:28 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-13384)\/2868*1*6\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e5 (base 16) to base 10.\nAnswer: -1509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbccycycbcbgcygbyy. What is prob of sequence gy?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115705 and 11023.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 594. Let v = 4160\/21 - z. Let j = 0.04 + 0.16. What is the second biggest value in v, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*c + 17, 0 = -2*n + 6*c - 4*c + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 3 = 0, 4*c + 6 = 2*h. Let 125\/2*i**5 + 0 + c*i + 25\/2*i**4 + 10*i**2 - 40*i**3 = 0. What is i?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -10b3?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67235009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 - 7\/(-3). Suppose -51 - 91 = -2*m. Suppose -4*p - 4 = 5*a - m, p + 30 = w*a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(3))**2 + sqrt(360)\/sqrt(2) + sqrt(20) + (sqrt(320) - (sqrt(320)*-1 + 0 - sqrt(320)) - sqrt(320)).\nAnswer: 20 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9504 + 24213. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -278459\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2 - 3)*(-2 + 2 - 2*y) + 0 + y + 0 as q*y + s and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2718476845 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*n**3 + 75*n**3 + 29*n**2 + 77*n**3 + 2*n as x + q*n**2 + a*n**3 + z*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -x - 28 + 3, 0 = 3*g + 2*x + 22. Let s be -1 + (-5 - (g + -15)). Solve -7*z - s = -2*z - 2*f, 2*f - 3 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*d**2*l*w - d**2*w - 3*d*i*l*w + 40*d*i*w + i*w wrt l?\nAnswer: 59*d**2*w - 3*d*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.1125 less than -0.016134374?\nAnswer: -140.128634374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11812, 44603, 99256, 175771, 274148?\n\"Answer: 10931*u**2 - 2*u + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 9*g - 4. Let o be u(5). Let l(z) = 5*z + 42. Let h be l(-7). Let d be (-2)\/o - h\/(-56). Which is smaller: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 576, 0.\nAnswer: 0, 1, 2, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97247?\nAnswer: 31, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((745\/596)\/((-10)\/(-444)))\/((-36)\/24 + 0).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2323360 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/9, 0.5, 70, 1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tti when three letters picked without replacement from ittttttitttttitttt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - -14) - -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 419, 1986, 4703, 8570, 13587, 19754, 27071?\n\"Answer: 575*m**2 - 158*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {g: 1, v: 6, q: 1, l: 1, t: 3, b: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/3061 and -17\/3.\nAnswer: 9183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 2:03 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a + (-1 - 2 + 2)*(5*a - 4*a + a) - 3*a + 4*a - 2*a + 2*a + 3 - 3 + (-4*a + 3*a + 0*a)*(2 - 1 + 0))*(-29*a**4 - 44*a**4 + 102*a**4).\nAnswer: -116*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - (3 + -2 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.81 and -27.\nAnswer: -21.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1275 - -1285. Let b(z) = -z**3 + 5*z**2 + 3*z - 5. Calculate the lowest common multiple of b(5) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 11. Suppose x*m - 59 = u, -5*m + 3*u + 76 = 11. Let n = m + -11. What is the lowest common multiple of 9 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2. Let g(f) = f**2 - f - 2. Let y be g(-3). Let q(i) = y - 10 - i. Determine z(q(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4610?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, z: 4, x: 6, q: 1}. What is prob of sequence yxz?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 103a0 (base 14) to base 3\nAnswer: 1222200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/6 + r**3\/2 - r**2\/2 + 2*r. Let i(l) = -2*l**2 + 2*l - 2. Let p = -76837 - -76839. Determine p*i(j) - 3*x(j).\nAnswer: 2*j**2 - 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431 - -75052076.\nAnswer: 75052507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*b**4 - 1992*b**3 - 2420*b**2 - 816*b - 80 = 0.\nAnswer: -5, -1, -2\/7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*x + 40, 0 = n + 11*x - 8*x - 24. Is n less than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 63 - 63 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -154*t - 11. Let p(b) = b + 3. Give -h(a) - 5*p(a).\nAnswer: 149*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 63600820 to the nearest one hundred thousand.\nAnswer: 63600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-66))\/((-72)\/(-264))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l + 4*s + 184, -3*l - 135 = 4*s. Let c = l - -145\/3. Let f = 577 + -574. What is the closest to f in 1, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-7) + -4 - 1. Let n = -1.2 - -1. Let c = n + 0.3. What is the nearest to 1 in h, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -1.78718\nAnswer: 1.81718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 9:29 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 3*r**2 - r**2)*(-14 + 6 + 3*r - 2*r) in the form k*r + n*r**3 + p*r**2 + a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3\/5*n**5 - 3*n**2 + 3 + 0*n + 3*n**3 + 0*n**4. Solve b(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2\/17 (b) 1416 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f = -9826 - 8819 + 10815 for f.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 207817140*h + 3598996973148300.\nAnswer: 3*(h + 34636190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53\/3 - 103\/6. Let i(p) be the first derivative of 8*p + 3 - 14\/3*p**3 - 1\/3*p**6 + 0*p**2 + 6\/5*p**5 + m*p**4. Let i(j) = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 5, 2 in ascending order.\nAnswer: -4, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 137, 272, 461?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 12. Let j be y(0). Suppose 6*h - 2*h + j = 0, 2*h = t - 8. What is the greatest common divisor of t and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 49 + 170 + 1518*q + 931*q - 76.\nAnswer: 2449*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvttbvtzvqqtvvqtb. What is prob of picking 1 v and 1 b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.1706953 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14\/3 + 6. Factor 8\/3*u**3 - u**4 + 0*u - s*u**2 + 0.\nAnswer: -u**2*(u - 2)*(3*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {u: 1, v: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + z - 1280000 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -5 - 12 - (-2 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -48*j. Let r(u) be the second derivative of 7*u**3\/6 + 19*u. Determine 4*g(p) + 27*r(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.497 rounded to two decimal places?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 22. Let d(q) = 0*q - 14 + 0*q**3 - 9*q**3 - q + c*q**3. Determine d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 2*g**2 + 3*g**2 + 3*g**2.\nAnswer: 4*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 438945 and 43355?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4824474 meters?\nAnswer: 482.4474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 - 52*v - 48 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j - 50. Let r be 44\/8*2 + -6. What is k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-76) - (-930)\/190?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137647 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554 by -111.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w**4 - 2*w**3\/3 - 7*w**2 + 2*w\/3 = 0. What is w?\nAnswer: -1, 0, 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x)**(2\/17) assuming x is positive.\nAnswer: x**(-2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 0\/6 + 3. Let c(u) = -u**2 + 11*u - 7. What is c(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -27026*u. Let d(h) = -21*h**2. Determine i(d(o)).\nAnswer: 567546*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129172 is divided by 261?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))**(2\/75)\/(q**15\/q*q\/q**(-1\/3)))**(-12) assuming q is positive.\nAnswer: q**(4552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188018.\nAnswer: 2, 94009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 187, 197, 207?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**3 - 157*k**3 + 43*k**3 + 14*k**3 + 47*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536240, 2144235, 4824226, 8576213?\n\"Answer: 535998*p**2 + p + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 29. Let y(b) = -16*b + 2. Suppose -2*g = -2*v, 3*g - 2*v = 4 - 5. Let h be y(g). Calculate the remainder when 169 is divided by o(h).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 15931570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - ((-10 + 12 + -4 - 22) + 19)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 4*f - 44 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 9)*-6*2\/6. Solve q*g - g = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 9.95. Let k = v - 6. What is the nearest to 0.1 in k, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 5\/3*r**3 + 0*r**5 + 3\/40*r**6 - 13*r**2 + 0*r**4 + 0 + 0*r. Differentiate j(m) wrt m.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 9. Let y be r(8). Suppose 0 = -h + 5*o - 4 + 41, 3*o + y = 0. Solve 3 = 3*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -5) + 17 - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -899*l**2. Let y(p) be the first derivative of -2*p**2 + 2006. Give r(y(u)).\nAnswer: -14384*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 9*r + 35. Let a be p(9). Let g = -32 + a. Calculate the common denominator of -13\/10 and (0 - 128\/(-10)) + g\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39424 less than -764?\nAnswer: -40188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 387*k**2 + 40 + 2406*k**2 + 37 as x*k + l + i*k**2 and give i.\nAnswer: 2793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 2. Let p be d(-2). Let n(v) = p + 2*v - 5*v + 4*v. Calculate n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135073*w**5 + 64*w**2 + 59?\nAnswer: -8104380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47060.639 rounded to the nearest 10?\nAnswer: 47060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9921 = -21*v + 243. What is the greatest common divisor of 352 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(-1*4\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97839*h**3*l**4 + 12*h**3*l**2 - 81*h**3*l - 40*h**2*l - 28*l wrt l?\nAnswer: 1174068*h**3*l**2 + 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3632*p**2 - 64*p - 128. Let t(j) = -173*j**2 + 3*j + 6. Calculate -3*h(a) - 64*t(a).\nAnswer: 176*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.982 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:37 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*x - 41, -4*h + 5 = -2*x - 45. Suppose 0 = 3*z - 17 - 4. Calculate the remainder when h is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 50. Let n = 74 + r. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1138 - 0.08897.\nAnswer: -1138.08897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {z: 4, s: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 83 = -8*l. Let i(c) = c**2 + 7*c - 24. Is i(l) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 4*s**2 - 3*s + 1. Let a = -84 + 79. What is g(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 4*x**3\/3 + 1266. Let r(a) = -82*a - 4. Calculate q(r(d)).\nAnswer: 26896*d**2 + 2624*d + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358150 + 1561?\nAnswer: 360721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b14 (base 13) to base 7.\nAnswer: 436151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 110 = 2*f - 36, -2*f = 4*b - 116. Let x = 74 - b. What is the greatest common factor of 110 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11564)\/(-147))\/((-2)\/(-6)) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-32 - (-20 - -37)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 209*y - 222852.\nAnswer: (y - 379)*(y + 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.128 - -17.072. Let n = 0.8 + w. Let t = n - 17.37. Round t to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, -13, 3 in descending order.\nAnswer: 3, -13, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*a**4 - 13698552*a**3 - 239353820596*a**2 - 136770257040*a - 19538448400 = 0.\nAnswer: -34945, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/7 and 32\/2441.\nAnswer: 17087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-6)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -366?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1497 and 98.\nAnswer: 97.8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 971, 3907, 8797, 15635, 24415, 35131, 47777?\nAnswer: 62347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75526*p**3 + 19*p**2 - 75545*p**3 + 4*p + 0*p - 4*p.\nAnswer: -19*p**3 + 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(81\/6)*3. Solve -5*n = a*z + 6, -4*z - 12 = -0*n - 2*n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + (-77 - (-29 + 1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 37*a = 32*a - 3, -9*a + 21 + 3 = -3*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 - -348. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 23. Suppose -3*j + f = -2. Solve -13 = 2*k + j*v - 2, -3*v - 17 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 4. Let z be a(-4). Suppose 5*p = z*p. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 10*f**3 - 65*f**2 - 50*f.\nAnswer: 5*f*(f - 5)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**2 - 60*d**3 + 129*d**3 - 73*d**3 - 7*d - 41. What is the thousands digit of u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 15 (b) -0.9 (c) -0.2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16490 is divided by 5490.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x. Let h(s) be the second derivative of -s**4\/12 - s. Determine t(h(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -59, -149, -281, -467, -719, -1049?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 3) to base 8\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - -3b09b?\nAnswer: 3b122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l + 191 = 5*t, -2*t = -3*l - 75. What is the highest common divisor of t and 858?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214 and 12316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451028814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-20)\/v)**(-43) assuming v is positive.\nAnswer: v**903","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -1900*l**2\/9 - 24706*l\/3 - 78 = 0.\nAnswer: -39, -9\/950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from aehahhgguqgu?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2615 - 4*i**2 + 870 + 875 + 870.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823659417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.87 and 39?\nAnswer: 38.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170390*a**6 + 84*a**5 - 8313658*a**2 - 2*a - 4 wrt a?\nAnswer: 20446800*a**3 + 5040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 2*b**2 + 3*b - 4. Suppose 11*j + 1985 - 2007 = 0. Calculate the least common multiple of j and l(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p - 244*p + 1278*p - p**2 in the form i + j*p + q*p**2 and give j.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5 - 1)*(-10)\/(-3). Factor d*h**2 + 0 + 0*h.\nAnswer: 2*h**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(3\/2 - 1). Let y be (-3)\/(-5) + 4\/10. Suppose 0 = 2*s - s - 4. Which is the third biggest value? (a) m (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2 - -6))\/1. Let g be -2 - -1 - u\/(-4). List the prime factors of -26*4\/(-7 + g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v**2 - 8*v**2 + 5*v**2)*(3*v + 5 - 5).\nAnswer: 75*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**5 + 5*f**4 + 14*f**2 + 5?\nAnswer: 840*f**2 + 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 + 3*v - 2 as f + j*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1575)\/90 + 17)*54\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 - 6365*w + 1203510 = 0. What is w?\nAnswer: 231, 1042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -3 in decreasing order.\nAnswer: 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 7:40 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 4*x**2 - 3*x + 6. Let i be q(-5). Calculate the remainder when (10\/6)\/((-1)\/(-42)) is divided by (-32)\/(-2) - i - 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121231 is divided by 2474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -13 - -8 - (-6 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 + 10*m - 6. Suppose -j - 11 = -0*j. Let b be y(j). Suppose 166 = -2*h + 3*h - b*g, g = -5. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3751413886 and 110.\nAnswer: 3751413996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31169.38t in nanograms?\nAnswer: 31169380000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o + 164*o + 980 = 74*o for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1404 and 196209.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/72 and -26\/747.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22997*f + 23053*f - 952 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31071659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11611903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 5:03 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 + 191. Let j(t) = 10*t + 100. Let u be j(r). Solve -3*i - 6 = u, 2*x + 3*i + 6 = -0*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:56 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhbbbh. What is prob of picking 3 h and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 379776232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3170697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/((-6)\/(-5)))\/(124\/744). Sort q, -1, 1, -6 in descending order.\nAnswer: 1, -1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 203.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 3:50 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-585)\/(-26))\/((-16)\/(-32)). Solve 31*u = 16*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -0*s - 6307. Suppose 3*w - s = -2*k, 4*w + 5*k - 1400 = -194. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -206, -305, -402?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 3}. What is prob of picking 3 i and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 304. Let k = 214 + d. What is the closest to 2 in k, 2\/9, -0.1, -5\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 112*b**4 + 109*b**3 + 27*b**2.\nAnswer: b**2*(b + 27)*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - u**4 - 2*u**2 + (-3*u + 5*u - 3*u)*(3*u**2 - 2*u**3 - 3*u**2) - 4*u**4 - 8*u**4 + 9*u**4 - 3.\nAnswer: -2*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 100. What is the smallest common multiple of (-297)\/(-24) - (-6)\/(-16) and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/17, -2\/11, 1, 2 in decreasing order.\nAnswer: 2, 1, 0.3, 2\/17, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 42207*m**2 - 42208*m.\nAnswer: m*(m - 1)*(m + 42208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0, 6\/11, 5, -0.01, -79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6) + (-885)\/(-1062))*(-1 + (-219)\/9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 9*c**2 - 7*c - 8. Let l be a(8). Suppose -r - 4*r + 45 = l. Solve -4*v = r + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v**2 + 179*v + 39. Let k be r(-18). Let z(f) = -f**3 + 59*f**2 - 117*f + 174. Let i be z(k). Suppose -32 = -4*n - 8. Solve a - n = i*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.45 + 0.4. Let u = a + -0.15. What is the smallest value in 0, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4\/5)\/(5859\/(-2835) - 4\/(-10)).\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 25672822?\nAnswer: -25672821.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000310429 to 7 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 - -1974?\nAnswer: 190b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + -18) - 17 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979 a factor of 1949324111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-83 - -85 - (1 - 5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1169, 2344, 3521, 4700?\nAnswer: 5881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -4*x. Let u be x\/(-3) - 117\/(-3). Calculate the greatest common factor of u and 364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57490726901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -312, -1008, -2204, -3900, -6096, -8792, -11988?\n\"Answer: -250*i**2 + 54*i - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:36 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070649 is divided by 7539.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120533 divided by -41?\nAnswer: 1120533\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o + 0*o + 9*o - 7*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 4*u + 25. Let y(k) = -k**3 + 24*k**2 - 21*k - 49. Let n be y(23). Let l be ((-36)\/(-3))\/n + 1 + 3. Does 4 divide g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -5, -0.3 in increasing order.\nAnswer: -5, -2, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**26*u**4*u*u*u*((u*u\/(u*u**(-2\/5)*u*u))\/u)\/u)\/((u**2)**(-2\/9)*((u\/(u\/(u**(-6)\/u)))\/u)\/(u\/u**(1\/4))) assuming u is positive.\nAnswer: u**(-2233\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(-2 + 4*sqrt(99) + (1 + sqrt(99) + 5 - sqrt(99))))**2*-4.\nAnswer: 27648*sqrt(11) + 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**4\/4 + 10*f**3\/3 - 3*f + 15. Give o(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 468*p + 334. What is d(95)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -3\/11 (c) 1 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-87600\nAnswer: 52560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2205337\nAnswer: 5\/2205337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:28 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/250)\/(8\/(-20))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 23256*z + 33802596.\nAnswer: 4*(z - 2907)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:09 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 77. Let i = 37.0058 + m. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5142 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95395 by 1.\nAnswer: 95395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -s - 23, -5*i = 21*s - 16*s + 45. Let o = -2 - -2. Suppose -3*u = -3*f - 15, -18 = -4*u - o*f + 2*f. Sort -2, u, i in decreasing order.\nAnswer: u, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011*4.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18828419908.21 less than -99?\nAnswer: -18828420007.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 50. Let t be x(10). Suppose 4*r + 4 = t, 591 = 2*w + 2*w + 5*r. What is the hundreds digit of (w - -3)\/1 - (3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 11*z - 22. Let b be i(13). Let w(o) be the second derivative of 3*o - 2\/27*o**3 + 1\/9*o**2 + 0 + 1\/54*o**b. Factor w(v).\nAnswer: 2*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/37 - -61\/148. Suppose 0 = 5*m - 4*p - 32, -5*m - 3*p = -3*m + 1. Find z, given that -1\/2*z**3 + 1\/2*z - f + 1\/4*z**m + 0*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.25 + -0.89. Let c = u + -0.06. What is c rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000345 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.8, -2\/11, -4\/481?\nAnswer: -4\/481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 625404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62614 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - d + 3*d - 310, 0 = -l - d + 312. Let f = -164 + l. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*x + 458 + 22. Suppose 0 = -3*t + 5*t - 3*j + x, -3*t + 4*j = 16. Solve -4*c + c = t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + 2 + -9 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/3 - 1. Let f = -59 + 59.5. Sort y, f, -0.4 in increasing order.\nAnswer: y, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4085, 16089, 36105, 64139, 100197?\n\"Answer: y**3 + 4000*y**2 - 3*y + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8876545, 8876546, 8876547, 8876548, 8876549, 8876550?\n\"Answer: v + 8876544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34460*c - 34431*c = -5*v + 121, -2*c - 4*v = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:56 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-63) - 10\/14. Let t be ((-6)\/9)\/(c\/48). What is the highest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 1619 - 1787 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21209716 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 - 15\/9). Suppose -3*l = 5*u - 18, -u + 2*l = j*u - 7. Let h(k) = u*k**2 - 4*k + 4*k. Let g(x) = x. What is h(g(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + u + 4*x - 4, u + 393*x + 22 = 202*x + 195*x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7492030 is divided by 281.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 662 + -472. What is the common denominator of (j\/(-25))\/(8\/6) and -71\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 1 (c) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**4 + 6*w**3 + 4*w**2 + 6*w + 3. Let k(g) = 3*g**4 + 19*g**3 + 11*g**2 + 19*g + 10. Let o(y) = -21*d(y) + 6*k(y). Factor o(u).\nAnswer: -3*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {s: 3, g: 1, o: 3, f: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*(-642)\/(-107)*4\/1)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 3209022497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1023*o*y**2 - 2*y**2 + 179*y wrt o?\nAnswer: -1023*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 292205*o - 50. Let x be s(10). Round x to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose -3*l - 2*d + 30 = 0, c*l = 3*d - 9 + 29. Let k(y) = y**3 + 9*y**2 - 12*y - 15. Calculate the smallest common multiple of k(-10) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z. Let l(o) = -175*o - 367. Let x(s) = -2*h(s) + l(s). Find the first derivative of x(w) wrt w.\nAnswer: -181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5, 59, -4\/9, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**2*s**4 - 2*l**2 + 108*l - s**4 - 2*s**2 wrt s?\nAnswer: -20*l**2*s**3 - 4*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2. Let r(k) = -k**3 - 8*k + 5. Let o(j) = r(j) + 4*v(j). What is o(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3456437*c**3 - 2305*c + 421.\nAnswer: -20738622*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4272679670 minus -2.16?\nAnswer: -4272679667.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -14930 and 0.074 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 4}. What is prob of picking 1 x and 2 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 12, 4*l + 42 = 4*d + 2. Let j = -2 - l. Let f be 33\/9 - j\/6. What is the smallest value in f, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1505934200 to the nearest 1000000.\nAnswer: 1506000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*k = -390*k - 10469 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 22 = -9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560 + 44190. Let g = n + -29529. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 10055?\nAnswer: 10045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*b - 1653, -3416*x + 4*b = -3413*x - 945. Suppose 0 = -z + r + 5, 6*z - 60 = z - 2*r. What is the remainder when x is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11 - -1) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11956091 is divided by 1992664.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -52*r + 106. Let m be v(2). Let s(t) = -2*t**3 + 6*t - 3. Determine s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:50 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -28. Suppose -4*k + 39 = 5*j, 0 = 2*j - j + k - 7. Let d = t + j. Calculate the remainder when 44 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1970, -1874, -1766, -1646, -1514, -1370?\n\"Answer: 6*l**2 + 78*l - 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:43 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -810 and -0.2966.\nAnswer: 240.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, 36, 14, -3\/5, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (1 + sqrt(147) + -1*sqrt(147)))*3.\nAnswer: -3 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4663380 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.0143 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1294*j + 647*j + 29 = -644*j + 2*x, -j + 11 = 2*x for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.489878 and -2.\nAnswer: 8.979756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7206496.17 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/558 and -59\/62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -333\nAnswer: 110\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/7)\/((i\/(i*(i\/(i*i**(-1\/2)*i)*i)\/i))\/i))\/(i**(-1\/5)*i**(4\/5)\/i))**(1\/27) assuming i is positive.\nAnswer: i**(53\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1137835808*k**5\/3 - 54616214192*k**4\/3 + 51207190946*k**3\/3 + 106952272496*k**2\/3 - 8968262*k\/3 + 188\/3 = 0. Calculate k.\nAnswer: -1, 1\/23852, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + -4 - -2 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 * 0.035.\nAnswer: -4.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3113 - 1882. Solve 1182 = -7*z + x for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -1\/4 (c) 206288 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**1\/(z**(-2\/3)*z**(-11)) assuming z is positive.\nAnswer: z**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 6*g - 1. Let w be z(-4). Let l be 1*w + 6 + -9. Does 4 divide (1\/3)\/(l\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4684 - 5?\nAnswer: 4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/3 - 143*v. Let a(c) be the first derivative of -2*c**2 - 3*c - 19. Determine a(j(p)).\nAnswer: 8*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2))**8*j**(3\/2)\/(j\/(j*j\/(j**(-1\/3)*j*j))) assuming j is positive.\nAnswer: j**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 68944203?\nAnswer: 5515536240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 79. Let x(n) be the third derivative of 0*n + n**2 + 4\/3*n**3 + 0 + 1\/24*n**4. Give x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -60, -115, -222, -399, -664?\n\"Answer: -3*v**3 + v**2 - 3*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 3*l)*(-5 + 5 - 2*l)*(-l**2 - l**2 - 3*l**2).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -30. Suppose 5*q + d - r = 0, 0*d = q - 4*d. What is the first derivative of -10*s**q + 3*s**4 + 11 - 5 wrt s?\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b + 5*b)*(-2 - 4 + 5*b - 12*b).\nAnswer: -28*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127674 is divided by 127638.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4*m - 2*f**4 - 11*f**3*m + 40*f**3 - 137*f**2 + 30324*f*m wrt f.\nAnswer: 72*f*m - 48*f - 66*m + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -192, -450, -742, -1068, -1428?\n\"Answer: -17*a**2 - 207*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94773764?\nAnswer: 2, 509, 46549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let n(u) = u - 4. Let t be n(6). What is the derivative of f - s + 3*s - t wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - z - 119 = 0, -2 = -2*z - 0. Let r = -15 + p. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/(-13637))\/(-5 + 2). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u. Let a(i) = 604*i**2. What is a(g(m))?\nAnswer: 48924*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2518048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 8. Suppose 3*y = f, 3*q + q = y. Solve m + 2 + 1 = q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n**2*r**2 - 11*n**2*r + 3*n*r - 2*r**2 - 2*r - 11496 wrt n.\nAnswer: 16*n*r**2 - 22*n*r + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 2*p. Let v = -422 - -427. Suppose 5*z = 2*a + 24, 11*z - 8*z + v*a = 2. Solve z*x + 13 = 3*j, 0 = x + p*j - 3*j + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963731011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 8*g - 4. What is y(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540288137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 109, -336, -959, -1760?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61529*y - 128523*y - 155574*y - 78168*y.\nAnswer: -423794*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -846729 divided by -65133?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 3. Let l be u(-7). Suppose 90 = a + l*a. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hthxh. What is prob of picking 1 h and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12340.66 nanoseconds?\nAnswer: 0.00001234066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 6*g + 6410. What is the tens digit of g\/(-18) + 34\/(-153)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdf when four letters picked without replacement from fffffddfdf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24117, -24075, -24033, -23991, -23949, -23907?\n\"Answer: 42*n - 24159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 2*r - 5*r)*(4*r + 0*r + r + (-2*r + 5*r - 2*r)*(1 + 2 - 1) + 3*r - r + 0*r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -16. Let s be -2 + g - (9 - 12). Let d be 2 - -1*(2 + 4). Solve d*u - s*v + 5 = 5*u, 2*v = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and 107\/87966?\nAnswer: 87966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2629 = 4*f - 2148, 3*f + 2*v = 3591. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j - 55 = 0. Let d = -9 + j. Solve 0 = -d*m + 17 - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3530 + 3?\nAnswer: -352c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 1.5.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3*k**2 - 1318*a**3 - 135*k**2 + 5*k wrt a?\nAnswer: 3*a**2*k**2 - 3954*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -28. Let c = o + -63.3. What is c rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - d + (-2 + 3 + 0)*(2*d - 2*d + d) - 2*d - 5*d - 7*d)*(-3*d**2 + 8*d**2 + d**2).\nAnswer: -66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/5 + 69*y**2\/5 - 213*y\/5 - 57.\nAnswer: -3*(y - 19)*(y - 5)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 8 - 64. Let i be (-2 - (-72)\/j)*7. Let u(r) = -5*r + 4*r**3 - 3*r**3 - 3 + r - 3*r**2. What is u(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244395397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-72)\/(-5) - 8\/(-20)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.701666563 and 3.\nAnswer: 1.298333437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Let o = 0.206 - 3.206. Put z, 1\/5, o, -0.21 in decreasing order.\nAnswer: z, 1\/5, -0.21, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + ((sqrt(27)*2)\/sqrt(9))**2 + (sqrt(12)\/sqrt(4) + -3)**2.\nAnswer: -5*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**4*p)))\/p**(2\/9)*(p*p*p**(-2\/3))**(6\/25) assuming p is positive.\nAnswer: p**(1147\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8*r = -3*c, r - 3*c = 0. Solve r = 4*m + 7 - 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/246450 and 67\/147870.\nAnswer: 739350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2639 + -2636. Let p = -5.4 + 5. Let s = p - -1.4. Which is the biggest value? (a) -5 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-6)\/9)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/5, 2\/41, -2\/61?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-84)\/(-35)*(-9 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 35. Suppose 4*y - c = -y + 275, -h = -5*c. Suppose y = -3*v + 65. Put v, -1, 5, 0 in decreasing order.\nAnswer: 5, v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**7\/315 - m**6\/180 - m**5\/6 - 23*m**4\/36 - 10*m**3\/9 + 67*m**2. Find v, given that s(v) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16771*g - 2 + 2 + 8382*g - 1064*g**3 + 8389*g.\nAnswer: -1064*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4*k - 9*f + 4864, 6049 = 5*k - 4*f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7234 * -42.\nAnswer: -303828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i - 15*i. Let g(b) = -b + 19. What is g(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25045 (base 12) in base 7?\nAnswer: 266153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 3*w - w)*(-307 - 552 - 456) - 3*w + 3*w - 4*w.\nAnswer: -2634*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.2 (b) -1065 (c) -2 (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 - 5*h - 1. Let r be q(6). Suppose r*c = 4*o + 63, 32 = 3*c - 2*o - 5. Suppose 5*u - c = 4. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 77.\nAnswer: -18\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Suppose -2*o + 0*o - 16 = 4*n, 0 = -n + y*o + 18. Find the common denominator of -103\/6 and (-2 - (-45)\/n)\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3, j: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16395 + -16395.00029725. What is n rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -400, -3 in increasing order.\nAnswer: -400, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32223825163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*t - 45, -x + 1 = -3*t + 22. Let n be (-36)\/(-32)*4*8\/t. Solve n = -p + 3*a - a, 23 = -5*p + 3*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, b: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + q**3 - 4*q**3)*((-2 + 2 + 2)*(-1 + 2 + 2) + 52 + 9 - 31) - 2 + 3*q**3 + 2.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35414*d*s**4 + 2*d*s**2 - 6467388*d + 57*s with respect to s.\nAnswer: -141656*d*s**3 + 4*d*s + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27, -7, -5, -0.2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*8271\/15. Let s = -22377710\/53 - -2110186\/5. Let j = s + i. Is 0 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2653 - -3)\/((-1)\/(-20)). What is t rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n**3 + 1\/24*n**4 + 0*n + n**2 + 0. Suppose 0*m - m + 1 = 0. Let h(k) = -4*k - 2. What is m*h(b) + 2*u(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5 (c) -1.7 (d) 3 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 27*a**2 + 12*a - 9. Does 17 divide w(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l + v + 329, 0 = 4*l - 5*v - 280. Does 54 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1112?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 662.\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**6 + 8*y**2 - 3*y. Let k(i) = 4*i**6 - 7*i**2 + 2*i. Let n(s) = -3*k(s) - 2*o(s). What is the third derivative of n(h) wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = 2*t - 4830. Let d = 354 - t. Solve -5*j = 6 + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-1))*o*o*o*o**(-5))**(-1\/8)\/(o*o**3*o*o**(-2))**21 assuming o is positive.\nAnswer: o**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2411030?\nAnswer: -2411032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3 + 1. Suppose 37 = q*p - 23. What is the remainder when 27 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 at least as big as -333.9535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-32) + (-19)\/(-4). Let v = 5 - c. Suppose 2\/9*x**3 - 2\/9*x**4 + v + 2\/9*x**2 - 2\/9*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/285, 3.1, -1 in decreasing order.\nAnswer: 3.1, 14\/285, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1, -8876, 0?\nAnswer: -8876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 556 and 801.09?\nAnswer: 445406.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 3*m)*(2*m**2 - 2*m**2 - 2*m**2) + (8 + 2*m - 8)*(-4 + 4 + 2*m**2).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/22 - -13\/418. Let w = 0.48 - -0.52. Let d = -2.1 + 2.4. Which is the nearest to w? (a) 0.1 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -35, -4 in decreasing order.\nAnswer: 5, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 6, 3, 5, 36, 2 in decreasing order.\nAnswer: 36, 6, 5, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = x + 3*r, -481*x + r + 3 = -482*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 19. Let q be j(8). Let w = 5 + -3. Let y(c) = -6*c + 5 + 5*c - w*c. Let k(n) = 2*n - 3. What is q*k(x) - 3*y(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 150*a + 312.\nAnswer: -3*(a - 52)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000025280746 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -87.\nAnswer: 84\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3 - 22, 3*b - 5*s - 37 = 0. Solve 0 = b*a + a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4948, 10953, 17016, 23143, 29340, 35613, 41968, 48411?\n\"Answer: q**3 + 23*q**2 + 5929*q - 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 2 in decreasing order.\nAnswer: 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 7. Let f be y(-3). Let d be ((-4)\/f)\/(-1) + (-2)\/(-5). Suppose -3*n - 3*r = 3, 2*n + 0*r - 3 = -r. Solve 5*w + 7 = -d*w - n*t, 4*t - 8 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.55241 centuries to decades.\nAnswer: 295.5241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 24 = 18*w. Suppose 0 = w*g - 2*g - 44. Suppose -g*m = -5*m - 54. Is 8 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44446 + -44442. Find y, given that 0*y**2 + 0*y - 1\/5*y**5 + 2\/5*y**o + 0 + 0*y**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100 = -89*r + 16*r + 151 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*(sqrt(245) + 4 + sqrt(245)) - (sqrt(245) + -2 + sqrt(245))*3)*-6*-2)**2.\nAnswer: 275184*sqrt(5) + 6928569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112122 - -12?\nAnswer: 11112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3143, 3066, 2937, 2756, 2523?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130559077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-9))\/(77\/(-275)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*r = -592, -f + 5*r = r - 133. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41278720 by 1355.\nAnswer: 30464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.392 - 41. Let b = v - -0.008. What is the second biggest value in b, -7, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = -8*j + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -126.3. Let i = -5.185 + 0.185. What is the second smallest value in 1\/16, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 4*b - 1. Let y be v(3). Suppose 0 = 2*a - y. Solve 2*j - a*j = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1261760 and -39\/20.\nAnswer: 1261760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 3*x**2 - 5*x - 3. Let f be v(-4). Let m be (f - 5)*(-7396)\/(-16). Let a be m - (0\/4 + 1). Round a to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 898680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - (-7 - (-42)\/5). Does x = 1\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2601, 5187, 7767, 10341?\n\"Answer: -3*c**2 + 2595*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1377)).\nAnswer: -8 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-20)*1890\/20412?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46045999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*m**3 + 121*m**4 - 104*m**4 + 0*m**3 + 15*m wrt m.\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1101112?\nAnswer: -1101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.41 + 7.48. Which is the closest to 2? (a) -0.3 (b) z (c) -4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -170670*n**2 - 3*n - 49589 wrt n?\nAnswer: -341340*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 478*k**2 + 5290*k - 5292. Give o(1).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - -21. Let d = n + -25. Let z = 186 + -182. Calculate the highest common divisor of d and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/13)\/p*p**(-9\/2) assuming p is positive.\nAnswer: p**(-147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*t - 6*c + 4, 5*c + 35 = 5*t. Suppose t*p = 12 + 8. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -5c06e?\nAnswer: 5c073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 - 151*u + 701*u + 285*u in the form o*u + h and give o.\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from bneneenbeennb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14168 by -644.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + 0*g)*((0 - 3 + 2)*(-g - 3*g + 3*g) + 3*g - 5*g + 0*g - g - g + g)*(-5 + 0 - 3)*(-2*g**2 + 2*g**2 - 2*g**2).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3968 grams in tonnes?\nAnswer: 0.0000133968","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2. Let a(b) be the second derivative of b**4\/4 + 8*b. Calculate a(i(n)).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -8*d + 4*h + 8, -2*h - 4 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-152)*1*((-82)\/4)\/((-5207)\/508)?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 58*a**2 - 84*a**2 + 158*a**2 - 4*a - 52*a**2 + 4*a.\nAnswer: -36*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -1969657?\nAnswer: -11817942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000332872822 rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1*11\/2. Suppose -3*n = 2*m + 16, -5*n - 2*m + k = 35. Let u = -4 - n. Are 0 and u non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:24 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 - 122*q**3 - 163*q**3.\nAnswer: -299*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) -21\/5 (d) -4\/5 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 856 - 848. Solve 6*q + 8 = l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -36*v + 24. Let o be t(-5). Is 4 a factor of (-2 + (-28)\/(-12))*o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21584.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17367 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: Simplify sqrt(15)\/sqrt(5) + 3 + 1.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -356055000 to the nearest one million.\nAnswer: -356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*-2*sqrt(77) - sqrt(77)*2*-2)*-3)\/(sqrt(84)\/(sqrt(300)*-2)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let k(w) = -w**2 - 10. Let h(z) = -1. Let s(d) = 2*h(d) - k(d). Let i(l) be the first derivative of s(l). Give p(i(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - -2 - (-346 - -358)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 55 + s**2 + 11*s**2 + 46 - 46 + (-s - 2*s + 4*s)*(-5*s + s + 0*s) in the form c + a*s**2 + d*s and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 83*j - 142. Let q be k(12). What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727 + -726.1. Let o = 3.49 - 3.29. Which is the nearest to o? (a) 5 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w + 9*w + 9*w. Let x(c) = -24*c. What is x(y(n))?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-150)\/36) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v**(-2\/11)\/v*v)\/(v**(1\/2)*v)**(-39)*v**(1\/17)*v**(-4\/7)*v*v**(2\/11)\/((v*v**(-1\/3))\/v) assuming v is positive.\nAnswer: v**(20999\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(91\/(-26)) - (-74)\/(-14). Suppose -1 = -4*z - 3*r + 7, 0 = 4*r. Put 11, s, z in decreasing order.\nAnswer: 11, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1968)\/82)\/(-336))\/(3\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111011011110101 (base 2) to base 3.\nAnswer: 1002211220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 179 = a, j - 3*j + 364 = 5*a. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.6435080472028 from 0.5.\nAnswer: 22.1435080472028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-5))\/(28\/140)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682834.4mm to micrometers.\nAnswer: 682834400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 53*n**3\/3 + n**2\/2 + 2*n + 2. What are the prime factors of m(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768975994 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3436 + 4?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 23*m + 16. Let y be m\/(-3)*(91\/14 - 8). Let i(r) = 234*r**2 - 4*r + 3. List the prime factors of i(y).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12279 - 12272. Solve k*o + 7 = 2*o + p, -4*o + 6 = 5*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*(-114)\/57?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -28*k**3 + 6*k**2 + 3*k + 13. Let m = -22 + 28. Let l be z(m). Let p = l + 34921\/6. Find the common denominator of p and -31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 89b94?\nAnswer: 89b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85915 in -1.4, 4, -0.5, -3\/4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 3*g - 4. Let p be n(-4). Solve 5*y - 2*s + 7 = p, -4*y - 2*s = -3*s + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18252345 times 0.12?\nAnswer: 2190281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007 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: b\"What is the jth term of -6837, -16058, -25255, -34428, -43577?\n\"Answer: 12*j**2 - 9257*j + 2408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*s, -5*w + 14*s + 31520 = 24*s. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(5\/(-10)). Suppose 221 = 5*a - 3*y, p*a + 5*y - 372 = -127. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31726.\nAnswer: 2, 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g - 26*g**2 + 8*g + g**3 + 49 - 12*g + 23*g. What are the prime factors of v(25)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*y**2 - 67*y**2 - 8*y**2 - 73*y**2 to the form f*y + h*y**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -1841 + 95. Let r = l + -63. Calculate the remainder when 235 is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1645320795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4622825 + 230?\nAnswer: -4622585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 105, 114, 127, 144, 165?\n\"Answer: 2*y**2 - y + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3083041250 * -1.\nAnswer: 3083041250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**5\/5 - 4*n**4 + 30*n**3 - 100*n**2 + 125*n - 2076. Factor f(l).\nAnswer: (l - 5)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 19. Let z = -2 - d. Which is the biggest value? (a) -3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 300, 680, 1212?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/31)\/g*g)\/g*g**45*g**(-14\/9)*g**(-2) assuming g is positive.\nAnswer: g**(11275\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/180*-4)\/(2\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6555, -6558, -6559, -6558, -6555, -6550?\nAnswer: -6543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*8\/(-3). Let a(n) = -2*n**3 + 11*n**2 - 14*n + 13. Let s be a(4). Let g = 7 + -3. Solve -2*t - s*w + 2*w = g, 0 = -k*w + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + -42. Let y = -28 - w. What is the remainder when 1162\/(-168)*3*(-16 + 12) is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 44*m + 465. Give i(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 + 2*h**2 - 5*h**3 + 46*h**2.\nAnswer: -5*h**3 + 48*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79026.\nAnswer: 2, 3, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -325?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 3. Let y be g(-2). Let p = 7 + -6. Let v be 2 - 0 - 7\/p. Sort 5, v, y in decreasing order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2168 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6470254 - 112*n**2 - 6470254.\nAnswer: -112*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234047228, -234047228, -234047230, -234047234, -234047240?\nAnswer: -234047248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4035562623 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 7*j + 10. Let n be k(-8). Suppose -4 = -n*h + g, -h = -4*h - g + 11. What is the units digit of 1*(h + -6 - -43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 3) to base 5\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-32)*5050\/(-303)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 166. Let o be a(-84). Factor 75\/4*f**o - 15*f - 5*f**3 - 5.\nAnswer: -5*(f - 2)**2*(4*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194cc3 (base 13) in base 8?\nAnswer: -2340525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 8*k - 9. Suppose b + 8 + 1 = -4*p, 3*b + p + 16 = 0. Let d be z(b). Solve -4*c = 4*t - d*c - 4, 5*t = 4*c - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmjx when four letters picked without replacement from {m: 1, k: 1, y: 2, x: 1, j: 2, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a975aa - 4?\nAnswer: a975a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 231637*x**3 - 4788106*x**2 + 26259020*x - 15446600 = 0.\nAnswer: -77233, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.306 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, a: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:44 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 107*i + 831. What is t(-5)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 551760 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14127 = 543*w - 552 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 4*s + 7. Let r(j) = j**2 + j - 1. What is q(v) - r(v)?\nAnswer: -2*v**2 - 5*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = -183*o + 760 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2488 + -14857\/6. Calculate the common denominator of z and -49\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8012.502um?\nAnswer: 8.012502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -55, -42, 5, -171 in ascending order.\nAnswer: -171, -55, -42, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from iazaazziaia?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 45, 50, 55, 60, 65?\n\"Answer: 5*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 426 + -17?\nAnswer: 40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 474*i + 85. Let r(k) = 467*k + 78. Let b(t) = -5*r(t) + 4*y(t). Differentiate b(g) with respect to g.\nAnswer: -439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n**2 - 569*n - 19. What is the units digit of p(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756041 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -22, 0, 20, 38, 54?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1136813, -1136812, -1136811?\n\"Answer: f - 1136814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823658?\nAnswer: 2, 11, 29, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 - 26*v - 229. Give l(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 2*h + 2*h + 2 + 13. Let c be l(-8). What is the greatest common factor of 35 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - -70. Calculate the highest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enuluyuleuunuyuu. Give prob of sequence yeue.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**4*r**2 - 4*o**4*r + o**3*r - 3*o**2 + 18*o*r**2 - 5*o*r wrt o.\nAnswer: -48*o*r**2 - 96*o*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/60 - h**4\/6 - h**3 - 8*h**2. Determine f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/5136 - -3507923\/25680. Let z = -10243\/75 + l. Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 4*k**2 + 2*k. Let c be (20\/6)\/((-6)\/(-9)). Let a = c - 9. Give b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122080.4 centuries in millennia?\nAnswer: 12208.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -177526.\nAnswer: 5\/177526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -31, -30, 5, 1 in increasing order.\nAnswer: -31, -30, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/16*1160\/90. Let g = n - 10\/9. What is the closest to -2\/5 in -0.5, 1\/5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*g*l**2 - f*g + 4*f*l + 659*g**2 + g*l**3 - 71*l**3 wrt g?\nAnswer: -f*l**2 - f + 1318*g + l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 24, 32, 40?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3, -8\/35, 0.3, -5, 3.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 + 232. Suppose 13*l = o*l + 335. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64842 divided by 5?\nAnswer: 64842\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.944 + 52.844. Let o be (((-4)\/14)\/(-2))\/(-1). Which is the nearest to -0.01? (a) m (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(90\/(-14))*(-23 - -20)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2183 + 6517 = 0. What is t rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 - -225. Suppose z*u - 60 = 100. Suppose -87 + 25 = -3*x - b, -9 = -x + 2*b. Calculate the remainder when x is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-45))\/2*12*8\/16.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(2*m - 4*m - m)*(-1 + 2 - 5)*(-4 + 1 + 2).\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 40, 52, 58, 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from {x: 7, b: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1229254492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 37, 8, -21, -50, -79?\n\"Answer: -29*g + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1994 + -1989. Let y = 1.02 + -0.02. What is the second biggest value in 40, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*l = -5, -13 = -67707*f + 67703*f + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 3*q + 2. Let i(m) = -m + 5. Let y(s) = s - 4. Let l(h) = -4*i(h) - 5*y(h). Let g be l(2). What is j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13371 + -12755.8. Round b to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 64 - 14 = 0. Let w(q) = q**3 - 10*q**2 + q - 8. Let p be w(t). Is p\/(-7) + 1314\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47565 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/108927 and 77\/12?\nAnswer: 435708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2139622789342 - 1505713652538 = -2*j. Let k = j - 437112292745027383\/239820. Let r = k + -1\/11991. Calculate the common denominator of 41\/20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470435133 divided by 67205019?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67967 - 36033. Round q to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137388238 rounded to 3 dps?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2 - 15*h + 45. Let k be p(9). Suppose -3*c - 120 = -3*b - k, 4*c - b - 467 = 0. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 11:25 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) + 3*sqrt(102)*1 + sqrt(102) + ((sqrt(102) - sqrt(102)*-1)*-6 - sqrt(102))))\/(3*-3*sqrt(24)*2).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 971253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34100302121 - 0?\nAnswer: 34100302121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*x + 2. Determine w, given that 4*w**x + 5*w**3 + 6*w**3 + 2*w**3 - 4 + 4*w - 17*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5513 = 25*b - 3887. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*p + 72 = -325*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3042*w = 3141*w - 48357441. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/19, -180?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/2)\/(4\/10). Let i = 8 + r. Let d = -34836 + 34840. Solve -g + 3 = v, d*v + 0 = -i*g + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*g + 112. Suppose 28*v = g*v - 416. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d9d0a (base 16) in base 2?\nAnswer: -111011001110100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 19*s**2 - 6*s + 20. Let a be v(-9). What is the hundreds digit of 56\/(-2)*a - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2. Let g = -20 - -35. Suppose 35 = 5*n - g. Let a(o) = 2*o + 5. Let p(k) = -k - 2. Let u(d) = n*p(d) + 4*a(d). Give w(u(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.022.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/36 - (0 - 0). Which is greater: 0.4 or k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -18 in decreasing order.\nAnswer: -3, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -25*i + 9*i. Let v be ((-2)\/i)\/((-44)\/462). Which is the second biggest value? (a) -2\/3 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-574)\/6)\/((-4)\/(-6)) - -4. Let m = 555\/4 + z. Which is the third biggest value? (a) m (b) 0.8 (c) 3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13603433303 - 17*d**2 - 13603433303.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 129559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3284031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/606056 and 43\/20.\nAnswer: 3030280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*(u**(4\/23)*u*u)\/u)*u*u**(-21)*u assuming u is positive.\nAnswer: u**(-487\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b25c7 (base 13) in base 6?\nAnswer: 50420204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 29 - 1504 - 108 + 1914*a wrt a?\nAnswer: 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27249481 - -68595481. What is d rounded to the nearest one hundred thousand?\nAnswer: 41300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*n + 26 = 0, 2*h - 4 = 3*n - 2. Solve -3*k + h = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -16*z**2 - 5*z + 1. Let r(v) = -3*v**2 - v. Let o(s) = n(s) - 5*r(s). Let h(x) = -4*x**3 + 2*x**2 - 2. Let m = -6 + 4. What is m*o(i) - h(i)?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.594267 and 0.323?\nAnswer: 0.191948241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104.6 + 104.7. Does z = 19.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:48 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -100. Suppose w*i = -i + 3129. Suppose -2*o = 2*v + v - 629, 5*v + 2*o = i. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u)*(-u**2 + 3 - 3) + 7*u**3 - 415*u + 13*u**3 - 22*u**3.\nAnswer: -u**3 - 415*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 less than 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -1759, -2615, -3455, -4273, -5063, -5819?\nAnswer: -6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6156 and 1075356.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3 + 0 = -5*m, -3*m = -3. Let j = -51 + 74. What is the remainder when j is divided by ((-6)\/4)\/(l\/16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638035 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29a5 + -837?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.64 take away 60.9379?\nAnswer: -84.5779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*a - 566*a + 90 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 3. Suppose -4*w - 7 = -3*w. Calculate the least common multiple of 22 and r(w).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -64. Suppose n*h = -8 + 18. What is the third derivative of -10*p**5 - 40*p**2 - 15*p**5 + 22*p**h wrt p?\nAnswer: -1500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -425?\nAnswer: 2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = w + 6 - 3, -4*w + 2 = -5*a. Suppose l = 4*l - w. Let f be 2\/(-9) + 1 + -1. Is l greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -42. Let a = 22 + o. Solve 2*l + 2 = 0, a*l + 2 = -2*b + 6*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119190?\nAnswer: 2, 3, 5, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 9*s**2 - 12*s - 2. Let k be j(10). Let n = k - -35. Find the third derivative of 75*q - n*q**3 - 75*q + 13*q**2 wrt q.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 43. Is 18\/((-4)\/(-2) + d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:36 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 14. Let n = -8.9 + r. Sort 0, n, 1 in decreasing order.\nAnswer: 1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398289, -796579, -1194869, -1593159, -1991449, -2389739?\nAnswer: -2788029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187) - sqrt(187))*1 + -4*1*sqrt(187))\/(sqrt(11) + (-1*sqrt(66) - sqrt(66))\/sqrt(6) + (sqrt(11) + sqrt(44)\/sqrt(4))*-1).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1 + 212*f + 0*f**3 - 8*f**2 - 91*f - 114*f + f**3. Give n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 - 49\/180*b**6 + 0*b**5 + 0*b**3 - 2\/45*b**7 - 1\/504*b**8 - 47*b**2 + 0*b**4 + 0*b. Factor y(o).\nAnswer: -2*o**3*(o + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-10 - -3 - 0) + -1 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1439\/69 - -61\/3. Let x = z - -1175\/92. What is the common denominator of x and (5 + -1)*(-38)\/(-44)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31237, -31244, -31251?\nAnswer: -31258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 2:39 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-485*c**2 + 700*c**2 - 389*c**2)*(-c - 3 + 3) - 1 + 1 + c**3)*(-c**2 - c**2 + 4*c**2).\nAnswer: 350*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(9\/(-90)). Suppose -t*w = -35 - 35. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*w - 85*w + 2088 = 0. Sort w, 2, -15 in descending order.\nAnswer: 2, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - r - 5. Is p(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {x: 1, k: 3, m: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 382717 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -0.68, 217.47?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(351))\/sqrt(3)*6 - (1*sqrt(832) - 3*(1 + sqrt(13))).\nAnswer: 3 + 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.58, -19, 2\/3, 2\/5, 0.2 in decreasing order.\nAnswer: 5, 2\/3, 2\/5, 0.2, -0.58, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*z + 10160 = -16464 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -110200 (base 3) to base 16\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 784*u + 5229. What is the tens digit of k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o. Let u(b) = 9599*b + 10251*b - 19440*b + 1 + 0. Determine u(n(g)).\nAnswer: -1230*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 4*h. Suppose -7*b = -2*b + 10, -h*b - 8 = g. Suppose q = -5*w + 45, 5*w - g*w - 5*q + 1 = 0. Calculate the greatest common factor of 64 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2))\/l)\/l)**(-23)*((l**(-1)\/l)\/l)**(-2\/89) assuming l is positive.\nAnswer: l**(6147\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {f: 4, g: 2, p: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-127526577\nAnswer: -51010630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21676331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 9. Let l = v + 55. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from ectmqimq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 at most 0.0211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -6.985. Round n to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, p: 4}. Give prob of picking 1 p and 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 7}. Give prob of sequence kkk.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 + 4*i + 1. Suppose -c - 1 = -6. Suppose 5*j + 2*a - 17 = 2*j, j = c*a + 17. What is the tens digit of o(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 30*f + 39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2862.7 + -2827.7. What is the closest to 0 in 5, f, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15948 and 2502?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) 2697 (c) -1\/2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83925 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -17*h**4\/24 - 3*h**3\/2 - 4*h**2. What is the first derivative of g(o) wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -12, 0 = -n + 2*n - 2*a + 6. Suppose p + 67996 = -2*x, n = 5*x + 5*p - 0*p + 169980. What is x rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4735136 and 672?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*(-3 + 38\/8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 - 1643?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 258.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:23 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -29. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*z - 302, 2*n + 3*z + 45 + 83 = 0. Let c = 63 + n. Solve -14 = c*t + u - 0, 20 = -5*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000099261 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-5 - (-51)\/10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and -79\/6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*q + 5*z + 47, 24 = -4*q + z. Let f = 32 + -8. What is the common denominator of ((-2)\/(-12))\/(q\/1064) and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h - 2*h - 4*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 44. Let m = l + -5. Suppose m = v - k, -5*v + k + 4 = -21. What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (23 - (46 + -20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 4*u + 11*u)*((1 + 2 - 1)*(u + 0*u + 0*u) - 3 + 3*u + 3 + 0*u - 2*u - u) to g*u + b + r*u**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z - 14. Let c(t) = -22*t + 43. Let x(l) = 3*c(l) + 8*k(l). Does 12 divide x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-32 + (286 - 50 - 39))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2683 - 2363. What is the smallest common multiple of m and 16?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -322\/3? (a) -7 (b) -2 (c) -16 (d) -6 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -118, -401, -954, -1867, -3230, -5133, -7666?\nAnswer: -10919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.4339 (c) -3 (d) 0.04 (e) -0.4 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -6 - (11 - 3). Let n be (-14 + 13)\/(1 + -1 - -1). What is the nearest to n in d, 0.5, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1508*n + 10527. Give x(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4312*x - 4308*x = -25, -3*z + 15 = -x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, 3, 0 in ascending order.\nAnswer: -20, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -54. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**3*x**3 + 2*h**3*x + 4*h**2*x**2 - 363*h*x**3 - 108*h*x + h wrt x.\nAnswer: 60*h**3 - 2178*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 6, -0.4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 37*p - 3. Let m be x(6). Let r = -36 + m. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -24. Let s = -10 + o. Let q = -5.4 + s. Which is the second biggest value? (a) 1\/2 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -228*k - 1117. Determine t(-8).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2 + 64624*t + 129240 = 0. Calculate t.\nAnswer: -32310, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2+98197\nAnswer: 98195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, c: 4, q: 3, p: 1, u: 1, l: 6}. Give prob of picking 1 q and 2 e.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*d**2*h**2*y**2 - 6*d**2*h**2*y - 9*d**2 - 4*h - 3*y**2 wrt h?\nAnswer: 328*d**2*y**2 - 12*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 14*q = 90. Suppose 0 = 2*c - 0*c - q. What is the remainder when 35 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -10. Let t(w) = -w**2 - 9*w - 3. Let m be t(y). Suppose -2*l - 9 = -m*l. Calculate the highest common factor of l and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 950\/25 - (-15*4\/(-150))\/((-6)\/15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d51 + 1?\nAnswer: -5d50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 4*q + 4. Let j be u(-4). Suppose -9 = -5*c + 3*w, -10 + 4 = -5*c + 2*w. Suppose 24 = 2*p - c*p. Solve 4 - p = -j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 8) to base 11\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - i + 3. Let r be c(-3). Let s(j) be the third derivative of 5*j**4\/24 + j**3\/3 + 707*j**2 - 2. Let x(h) = -9*h - 4. What is r*x(g) - 5*s(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2207 divide 675134542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z + 1. Let f(i) = 2*i**3 - i**2 - 10*i. Determine f(p) - r(p).\nAnswer: 2*p**3 - 9*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 212 and 10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338033 is divided by 37519.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -15, 4\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 11*v**2 - 10*v - 15. Let g be z(12). Suppose -3*t = -g - 0. Let r(o) = 12*o**3 - 11*o**3 - 4*o**2 + 5 - 9 + 0*o - o. What is r(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65337 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 -u + 40 = 3*k, -5*u + 16 + 134 = 5*k. Suppose 20*c - u*c = -7975. Suppose 4*o = -2*n + 2754, 3*n - 3*o - c - 2554 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1 - -2)*5. Suppose s*c + 2*l - 478 + 74 = 0, -c = -2*l - 76. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*58)\/(5\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4\/9*q**4 - 2\/9*q**3 + 0 - 2\/9*q**5 + 0*q**2 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-453)\/4)\/((-5)\/(120\/9)). Let l = -61 + i. List the prime factors of l.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2, 2\/11, 2053?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.31 and 4940417?\nAnswer: 4940419.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -53901 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 14 - 100 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 80654800*k + 325259838152000.\nAnswer: 5*(k - 8065480)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 0.1, 1\/11, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7794227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -10 - -3 - (10 - 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.256182 - -37.26. What is r rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/222)\/((-3)\/(-36)). Let z = -102\/259 + p. Suppose 0 = -q + 1 - 2. Which is the closest to z? (a) q (b) 2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*u + 17, 5*q - 3*u + 34 = -37. Let n be 18\/63 + q\/7. Let c = -0.2 - 0. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40621\/(-81242))\/((-1*2\/9)\/(16\/3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y**2 + 3*y - 11. Let v(k) = 68*k**2 - 11*k + 47. Let c(o) = 9*d(o) + 2*v(o). Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-10\/9)\/d*d\/(d\/d**(-22\/3))*d**(3\/7)\/((d*(d**(4\/3)\/d)\/d*d*d)\/d) assuming d is positive.\nAnswer: d**(-589\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 91*x**2 + 4*x - 207. Calculate the remainder when 2038 is divided by d(91).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 32 - 14*n**3 + 2*n - n - 11*n + 26*n**2.\nAnswer: -2*(n - 1)**2*(7*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 - 2*n**2 + n. What is the lowest common multiple of ((-1775)\/(-575) - (5 + -2)) + 63\/69 and x(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -439, -946, -1463, -1990, -2527, -3074?\n\"Answer: -5*u**2 - 492*u + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 655*v + 4. Let o(d) = -3*d**2 - 1311*d - 9. Let z(h) = 4*o(h) + 9*p(h). Factor z(u).\nAnswer: -3*u*(u - 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 50944?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -21*d - 25. Let q(g) be the second derivative of -g**3\/6 - 43*g. Let w(y) = a(y) - 6*q(y). Differentiate w(z) wrt z.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -67*k - 311*k + 863 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 475, 722, 969, 1216, 1463?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1191?\nAnswer: 1\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5226993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528068?\nAnswer: 2, 97, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/84321 and 17\/168642.\nAnswer: 168642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -204*m - 3847. Give a(-20).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 336 - 310. Calculate the remainder when 249 is divided by -36*-2*(-6 - j\/(-4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792*h + 322*h - 3509*h = -1129 - 63598. Let x = -7 - -13. Solve -x = 7*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 76\/971, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*c + 5*w, -267*c + 2*w = -261*c + 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59803596.1 minus 1634?\nAnswer: -59805230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 8 + 0*s**2 - 6*s**3 + 7*s**2 + 32 - s in the form x*s**2 + j + c*s**3 + q*s and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 9*q. Suppose -4*b = 2*l - 1152, q = -4*b + 2*l + 1003 + 157. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*q + 2*v, -2*v - 2*v = 16. Sort 4, q, 0.\nAnswer: 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1130, 4, -3, -5, -52, 2, -13 in increasing order.\nAnswer: -52, -13, -5, -3, 2, 4, 1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489736 is divided by 54415.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66079567 a multiple of 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5444526245*m**2 - 178*m**3 + 5444526245*m**2.\nAnswer: -178*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21824448 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30779896 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113517416 at most -113517416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39620803 to the power of 1\/2, to the nearest integer?\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/7, 2\/13, -2\/47, -2\/15 in increasing order.\nAnswer: -2\/15, -2\/47, 0.1, 2\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*l**3 - 2*i*l**2*m + 2*i*l + 6*i*m + 2*l**3*m wrt m?\nAnswer: -2*i*l**2 + 6*i + 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14582 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -673*o**3 + 4*o**2 + o - 2. What is the hundreds digit of b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395144402 to the power of 1\/3, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1559.2 (b) -3\/2 (c) 135\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*l**2 + 12*l + 129 wrt l?\nAnswer: -14*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2349739496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.1 (b) 1\/5 (c) -3 (d) -10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.570861 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15670820 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10)*q\/q**(2\/11))**(-2\/77))**(-2\/61) assuming q is positive.\nAnswer: q**(-404\/51667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 38 - -60 - (14 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 163. Which is the nearest to -1? (a) -4 (b) -2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:53 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**5 + 2*k**3 + 2*k**2 - k - 2. Let b(x) = 3*x**3 + 3*x**2 - 2*x - 3. Let c(j) = 2*b(j) - 3*v(j). What is the second derivative of c(y) wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 66*z - 59. Let s be n(32). Suppose 0 = -w + s*i + 43, 4*i - 44 = -10*w + 8*w. Calculate the greatest common divisor of 42 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 128. Let u = -48.2 + x. Put u, -3, 10 in descending order.\nAnswer: 10, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-3) + 2\/(-1). Suppose m - d = -0. Let n = m - -16. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -15. Let q be (-10)\/6 + ((-10)\/v)\/(-1). Suppose -3*u + 3 = 12. Put u, -5, 5, q in ascending order.\nAnswer: -5, u, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*r - 7 - 79*r - 76*r - 17*r + 42 - 42 + 3*r - 2*r - 3*r + (3 - 4 + 0)*(0*r + r + 0*r) + r + 0*r + r - 5*r + 0 + 0 in the form l*r + z and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129649641 and 2585.\nAnswer: 648248205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 454 = -8*z + 729 - 175 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1179 divide 1696962419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 - 1100010001100001?\nAnswer: -1100010000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.38002 rounded to 2 decimal places?\nAnswer: 74.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -5 - -8)*(-4 - 65\/(-15)). Factor 0 - 2\/11*a**5 - 8\/11*a**o + 0*a - 10\/11*a**3 - 4\/11*a**2.\nAnswer: -2*a**2*(a + 1)**2*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 2*y**3 + y**3)*(-5 + 2 + 2) + y**2 - y**2 + 3*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r - 1. Let u be w(3). Suppose 0 = 106*s - 110*s + 20. Solve -s*x = d + 10, -d - u = 2*x + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74503?\nAnswer: 11, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r - 1. Let q(p) be the first derivative of -p**3 - 2*p**2 + 3*p - 8. What is 2*f(v) + q(v)?\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -46. Let x = -1\/465 + -19061\/1860. Calculate the common denominator of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(10\/(-300))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3 + 9. Suppose -40 = -b*w + 4*w. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/82341 and -71\/2614.\nAnswer: 164682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*-1*(-2)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 7. Let f = 0 - y. Solve 6 + 6 = 2*h - 2*k, -5*h = k - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*b**2*d**3*k**2 - 5*b**2*d**2*k - 17*b*d**3*k**2 + 2*b*d**3 - 37*b*d*k**2 wrt b?\nAnswer: -42*d**3*k**2 - 10*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 4*d**2 + 3*d**2 - 1 + 1. Let x be p(7). Factor -3\/2*i**4 + x*i + 5\/2*i**3 - i**2 + 0.\nAnswer: -i**2*(i - 1)*(3*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -15*x**2 + 96*x + 365. Calculate c(-12).\nAnswer: -2947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-7))\/(5\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -90*q**2 + 21. Let o(w) = -6 - 2 + 6 - 18*w**2 + 6 + 0. Give -4*i(g) + 21*o(g).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3182\/9537 - -1\/3179. What is the nearest to n in 1, 0, -22, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-351)\/4680)\/(6\/(-8))*2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - 1\/2. Let z = r - -4. Suppose 0 = q + 5*k + 21, -2*q + 22*k - 26*k = 12. Solve z*x = q*h, -22 + 4 = 4*x + 2*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -2*(0 + sqrt(98)))**2.\nAnswer: -140*sqrt(2) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.5 minus 270.88471?\nAnswer: -300.38471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*f**2 - 101*f**2 + 53740*f - 51583*f.\nAnswer: 2*f**2 + 2157*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let h(t) = t**3 - 4*t**2 + 1. Let q be h(2). Let b = s - q. Calculate the greatest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose 2*x - 5*y - 34 = -0*y, 9 = j*x + 3*y. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 28.76, -1.074?\nAnswer: 28.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 1.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(-2))\/(53\/(-106)). Let i be (-10)\/(-5) - (t + 85). What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -74. Solve -i*r + 5 + 7 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*(-2 + -8). Let b = -11 - -14. Let n(p) = -2 - b*p + 0*p**2 - 1 + p**2. Give n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355 divided by 6\nAnswer: 355\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6182700*0.4.\nAnswer: 2473080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18421228?\nAnswer: 2, 7, 307, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 - 61292*v\/3 + 44157360.\nAnswer: 2*(v - 28306)*(v - 2340)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c872 - 3?\nAnswer: -2c875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 336 + -336. Which is the second smallest value? (a) -5 (b) m (c) -1 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (23877\/315 - 76)\/(1*1\/(-65))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001264647852 to seven dps.\nAnswer: 0.0012646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735*b**2 + 741*b**2 + 627*b**2 + 737*b**2 - 3582*b**2 + 742*b**2 + 27*b**3.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 1, p: 3, h: 3}. What is prob of picking 1 p and 1 h?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + l**4 - 3*l**4 + (4*l**4 + 2*l**4 - 5*l**4)*(1 - 2 - 6).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 1.1. Let c = 1.9 + y. Sort c, -0.1, -0.3.\nAnswer: -0.3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -17, 2, 25, 52, 83?\n\"Answer: 2*y**2 + 9*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -345 - -8626\/25. What is the smallest value in -2\/13, b, 1\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/(135\/300).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 6. Let k be (1\/2)\/((-4)\/a). What is the tens digit of k\/((-1)\/(-19)) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 97*c**2 - 13. Let s(y) = -999*y. Determine k(s(o)).\nAnswer: 96806097*o**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274*o = -1615*o - 2627 - 8967 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n + 1. Let q(m) = -4*m + 10*m + 11*m + 8*m - 31*m. Calculate r(q(v)).\nAnswer: 150*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -104 (c) 27\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*i - 4, 2*u - 4*i - 1324 + 1318 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Let j(w) = -116*w + 13. Determine -j(r) + 6*q(r).\nAnswer: 122*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (9 - (-4 + -4 + 13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 403 and 78.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(-4*s**2 + 5*s**2 + 3*s**2) + (0*s**2 + 4*s**2 - 3*s**2)*(-1 + 1 - 1) in the form u*s + b + y*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 28*o\/3.\nAnswer: 2*o*(o + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(891))**2 - sqrt(891)) + 1 - (-4 + (sqrt(891)*1)**2*-2).\nAnswer: 9*sqrt(11) + 2682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -457, 7\/11, 2\/3?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*n - 1 + 81*n + 9)*(2 + 5 - 4).\nAnswer: -6*n + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*-3*sqrt(175) + 0.\nAnswer: 5 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 + 5*d + 4. Let s be r(-4). Let f be 0 + (s - (-2 - -2)). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.51089 micrograms to milligrams.\nAnswer: 0.00551089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 9*f + 4. Let d be j(-10). Let m(z) = z**2 + 8*z + 5. Calculate m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801438, -1602877, -2404316, -3205755, -4007194?\nAnswer: -4808633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 - 186*s**4 - 1764*s**3 - 4206*s**2 - 3849*s - 1224.\nAnswer: -3*(s + 1)**3*(s + 8)*(s + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, -4 in increasing order.\nAnswer: -4, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1575*o + 83. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*711\/(-6). Suppose 4*a = 5*a + 1. Calculate the common denominator of (t\/6)\/(a - -3) and -63\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 - 202\/(-22). Suppose -3*w = -3*c - 264, h*w + c = 4*w + 452. Suppose -w = -2*i - 4*t, -5*i - 5*t + 172 = -48. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o - 5*v, 2*o + 6 = -2*v + v. Let t(f) = -7*f - 23. Let u be t(o). Do 4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*28\/(-35) + -7. Let v be 3\/((-6)\/4 + 3). Let g(c) = 0*c**2 + 3*c**2 - 1 + c + 2*c**v + 0*c**2. Calculate g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 - 2*v**2)*(2*v - 2 + 2) + (2*v - 2*v + 2*v**2)*(-18 + 30 - 8 - 50*v).\nAnswer: -102*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/3, -0.1, 2, -4, -127\/3 in increasing order.\nAnswer: -127\/3, -4, -1\/3, -0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207254\/9 - -23028. Which is the fourth biggest value? (a) 6 (b) 0.04 (c) o (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/8 - (-2)\/8. Let o(v) = v**3 - 9*v**2 + 8*v - 8. Let h be o(8). Let m be h\/w*6\/4. Which is the third smallest value? (a) -5 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-1610)\/15)\/(-14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -4 - (9 - -1)) + -21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -115 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 4*a**3 + a**3 + (-5*a + a + 3*a)*(5*a**2 - 3*a**2 - 3*a**2) + 2*a**2 - 2*a**3 - 10*a**2 + 0*a**2.\nAnswer: -3*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84082 is divided by 1001?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 58?\nAnswer: -46\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -2500 and -0.5.\nAnswer: -2500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43902359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7961\/19940 - 3\/3988. Suppose 7 = 3*t + 4*z - 2, 0 = z - 3. Put c, t, 7, 4 in descending order.\nAnswer: 7, 4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hysssvyssysys. What is prob of picking 2 y, 1 v, and 1 h?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-7\/4))\/n**(3\/5))\/(n\/n**5)**(1\/37) assuming n is positive.\nAnswer: n**(1671\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 756336\/85 - 8898. Let v(y) be the first derivative of -u*y**5 - 1\/51*y**6 + 0*y**2 + 0*y**3 + 0*y - 1\/17*y**4 - 12. Solve v(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s - 1, 0 = -4*i - 2*s + 20. Let j(o) = i - 2 + 0*o**2 - o**2 - 95*o**3 + 2*o + 2*o**2. Is j(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 1337 = -3945. Let f(w) = m*w - 1 + 3*w**2 - 326*w. Determine f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/23, 0.1 in ascending order.\nAnswer: -4, 0.1, 4\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*t**2 + 12 - 55*t**2 + 113*t**2 in the form w*t**2 + d*t + j and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31 and -0.1111559?\nAnswer: 30.8888441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-47 + -20 + 85)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154904\/7311 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5749 times -0.0245\nAnswer: 140.8505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*a**2*g**3 + 228*a**2*g - 72*a**2 - 542*a*g**5 + 2*a - 2*g wrt g.\nAnswer: -1482*a**2*g - 10840*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 3*k + 1. Let m(v) = 8*v + 155. Let r be m(-18). Suppose r*h - 363 = -22*h. Let t(p) = -3*p**2 + 9*p + 3. What is h*d(o) - 4*t(o)?\nAnswer: o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11216681, 22433340, 33649999, 44866658?\nAnswer: 56083317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/35)\/((-340)\/850). What is the third biggest value in 0.5, -1.8, q?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.18 + 6.7. Let y = 4.22 - z. Put y, -8, 0 in ascending order.\nAnswer: -8, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17369012*j**2 - 8528828*j wrt j.\nAnswer: 34738024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 115. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose 5*z = -b - g*b + 170, -3*z - 2*b + 103 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 72. Calculate the remainder when 202 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 0.00520204?\nAnswer: 7.00520204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191\/84 + 25\/28. Suppose 0 = -2*b + 2*n + n + 12, -5*b - n = -64. What is the common denominator of z and (-77)\/20*(-8)\/b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4562 + -4566. Let s = -21 + 19. Sort 11, v, s in descending order.\nAnswer: 11, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0312 + -0.1312. Let v(x) = x**2 - 4*x - 6. Let w be v(6). Put -3, w, 3, a in descending order.\nAnswer: w, 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**2 - 381*s + 162. Determine x(-48).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y**2 + 2. Is a(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33390 and 42.\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133985053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzxljxjjjjrzjjyx. What is prob of picking 1 y, 1 x, and 1 r?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -1.4 (c) 2 (d) -2\/427 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1106 (base 13) to base 4.\nAnswer: 211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -92.7. Let i = 7 - p. Which is the nearest to 1? (a) i (b) -2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(14 - -2) - 12\/66*4455\/162.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84252, -84029, -83806?\n\"Answer: 223*c - 84475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24*-1)\/(2\/(-18))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0 + 1\/12*w**4 + 11\/2*w**2 + 1\/6*w**3 - 10*w. Let t(o) = -o - 6. Let f be t(-6). What is n(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18303667 rounded to 3 dps?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*a - 944*a - 940*a)*(2 - 5 + 5).\nAnswer: -3478*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43654811 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3153 + 3152.934. Let b = 0.0692 - -0.7848. Let d = b - h. Round d to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Suppose 3*y + 1 + 2 = s. Let d(z) = -z**3 - z**2 - z. Let k be d(y). Is k less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-175))\/(15\/175).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1558 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4117491 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:42 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.5 + 104. Let m = 41.5594 - j. What is m rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21869.88 plus -3?\nAnswer: -21872.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 589, 1235, 1931, 2677, 3473?\n\"Answer: 25*a**2 + 571*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93468.39 milligrams in kilograms?\nAnswer: 0.09346839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23252722 + 0.3?\nAnswer: -23252721.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 102*u**2 - 1602*u + 5670.\nAnswer: 2*(u - 63)*(u - 3)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 12:36 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13216916, 26433893, 39650924, 52868003, 66085124?\nAnswer: 79302281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370340\/811 equal to 457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 + 73*c**2 - 45*c - 18. Determine w(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4041, 3977, 3879, 3753, 3605?\n\"Answer: l**3 - 23*l**2 - 2*l + 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -426*g**6*n - 2*g**6 - 4*g**2*n - 310*n wrt g.\nAnswer: -51120*g**3*n - 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -1.5, -16, -2\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -306980.39 to the nearest 1000.\nAnswer: -307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 2*g + 2 - 1 + 0*g. Let y = -1 - 0. Let k be z(y). Solve -k = -f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - v, 0 = -0*y - 4*y - 3*v. Suppose 10*o - 13*o + 414 = y. Factor 6 + o*s**2 - 7 + 76 - 180*s - 36*s**3 + 3*s**4.\nAnswer: 3*(s - 5)**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6308604313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100222 (base 3) in base 2?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -82311, -0.02, 19 in decreasing order.\nAnswer: 19, -0.02, -82311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i - i - 4*i**2 + 4*i - 3*i**3 + 37*i.\nAnswer: -3*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -313, 12 in decreasing order.\nAnswer: 12, 7, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and -0.5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518120 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {j: 12, f: 6}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 - 6*z**2 + 4*z - 6. Let j(x) = -14*x**3 - 19*x**2 + 11*x - 17. What is -4*j(k) + 11*s(k)?\nAnswer: k**3 + 10*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -68. Let a = c + -5. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*v - 0*c + 12, 0 = 4*v - 5*c - 15. Let h(k) = 4*k + 40. What is h(v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 - 9 + 2*o + 3*o**2 + 0 - 3 + 2 + 9. Let y(z) = -17*z**3 + 13*z**2 + 9*z - 3. Determine 9*f(w) - 2*y(w).\nAnswer: -2*w**3 + w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 4338588*j + 1568612152812.\nAnswer: 3*(j - 723098)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.80978853 rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 7}. What is prob of picking 3 k and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-7))\/((-7)\/(-49)))\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-11\/2)*p*p**24*p\/(p*p\/p**(-3\/7))*p\/p**(-2\/17) assuming p is positive.\nAnswer: p**(7423\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 47*d**2 + 148*d - 85. Let k be u(-50). Calculate the greatest common divisor of 345 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let o = -43 + 43. Let h = -1420\/3 - -5677\/12. Which is the biggest value? (a) h (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993127?\nAnswer: 151, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -4*2)\/(-2). Let z be 182\/294 + h\/(-14). Let y = 105 + -105.4. What is the closest to -2\/7 in z, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let g = -6 - -6.5. Let j = o - g. Which is the closest to j? (a) -3 (b) -2\/21 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*z**2 - 119*z**2 + 17*z**2.\nAnswer: -185*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x + 0*x + x)*(3*x - 4*x - x + x + 3 - 3 + (0 - 2*x + 0)*(1 - 2 + 3)) to the form k + s*x**2 + f*x and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-18)*h*h*h*h)**(-22)\/((h**(5\/2)*h*h)\/(h\/h**(1\/22))) assuming h is positive.\nAnswer: h**(3107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3996 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(6\/11)\/(a*((a\/(a**(-1\/11)*a))\/a)\/a))\/((a\/(a**(-5)*a))\/(a*(a**6*a)\/a*a)))**4 assuming a is positive.\nAnswer: a**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) - (18\/(-4) + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-3 + 1 - 0) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 3297.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 634121, 1268334, 1902547, 2536760, 3170973?\n\"Answer: 634213*l - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 656845 and 15703?\nAnswer: 26930645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809880, -1619970, -2430272, -3240786?\nAnswer: -4051512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*i + 124 = -115*i - 4*y, 4*i + y = 129. Solve 11*x + 23 = -i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 3. Let s be z(4). Let c be (-10 + -158)\/(-21) + (2 - 0)*-1. Solve s = 3*f - 3*k, f - c = -5*k + 3*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + p + 8. Let v be c(0). Suppose -1 - v = 3*w. Is w smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -2.357975 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 0.7. Let y = 4.4 - 7.35. Let z = m - y. Round z to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -14*s - 36. Let d = 36 + s. Let t be (-1)\/2*2 - d. Is -2\/7 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 - 111\/(-12). Suppose 3*d - 51 + w = -n, -60 = -4*d + 4*n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*n + 24127 = 4465 - 7138 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8e62 (base 16) in base 9?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6401, 6392, 6383, 6374?\nAnswer: 6365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/12)\/(220\/(-88)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j - 90. Let g(w) = w**2 + 5*w. Let z be g(-6). Suppose -3*i + 2*i = -z. Calculate the greatest common divisor of i and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10306056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-3\/11)*b))\/b**(-7)*(b**(2\/3)*b)**(-26\/7) assuming b is positive.\nAnswer: b**(250\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107670, 107653, 107636, 107619, 107602, 107585?\nAnswer: 107568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + 7. Suppose 2*j = -4*b + 82, -2*j - s = -0*b - 3*b. Is (b\/4)\/((-6)\/(-8)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3007 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let w = -23 + 39. Suppose -2*s + w = 2*s. Let t(g) = -3*g**2 + 4 - s. Give t(u(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -5 - -4*20\/8 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 23 (b) -2.4 (c) 5 (d) -5\/2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 44 - 124. Let k = h + -12. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208142 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*p + 23*p - 1422. Suppose -275 = 2*h - 15. Let r = p + h. What is r rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172781911.\nAnswer: 23, 1087, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -31*m**5 + 4*m**4 + 66*m**3 - 4*m**2 - 35*m = 0.\nAnswer: -1, 0, 1, 35\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -142076 = -2552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 9*t**2 + 12*t - 6. Let o be i(10). Suppose -3*d = -n + 66, 0 = -3*n - d + o + 214. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63036491191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8689976 is divided by 3262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3438407\/152 + 22621. Calculate the common denominator of -12\/209 and l.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821714 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4 + 14. Let q be 4\/10 + 8\/z. Let d(w) = -2*w**q + 11*w + 3*w**2 - 12*w. Determine d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 633*c - 75. Let f be w(2). Let g = 713 - f. Is -479 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*l + 2*w + 170, -l + 8 = 5*w. Let y be (l\/3)\/(4\/104). Let z = -137 + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*0.053\nAnswer: 0.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877420727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.65 times -5\nAnswer: -8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - p = 1160, 1162 = 2*s + s + p. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2. Let x(t) = -6*t**2 + 3*t**2 + 2*t**2. Calculate x(u(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 17*w + 28. Let m be t(7). Solve m = 15*l - 67 + 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2267, -4503, -6735, -8963, -11187, -13407?\nAnswer: -15623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - -4) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3\/2*x**3 + 96*x + 39\/2*x**2 + 102 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-12 + (-474)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 3*n - 3*n)*(6 + 1 + 0)*(-3*n + 3*n - 2*n**3) + 4*n**4 - 3*n**4 + 2*n**4 as s*n + l*n**4 + h*n**2 + d*n**3 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 4240*t**3 + 1119348*t**2 + 2255688*t.\nAnswer: 4*t*(t - 531)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6313527 to the nearest integer?\nAnswer: 2513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1800 and 65700?\nAnswer: 131400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 478960909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*a = 0, -4*b - 4*a = a + 2. Let k(i) = -i + 6. Suppose -3*c + 25 = 1. Let x be k(c). Sort b, x, 20 in decreasing order.\nAnswer: 20, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7644 greater than or equal to 7643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 12861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p - 1. Let a(n) = -17*n + 1. Give a(w(y)).\nAnswer: 119*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 35879909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 34*k + 39*k - 79*k. Let r be (-2474)\/(-1238) - (-2)\/(-1). Let x = r + -3074\/12999. Is x smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8905.272 weeks?\nAnswer: 89765141.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/402413750 and -109\/6438620.\nAnswer: 804827500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 129 = -r - r + 53, h + 4*r = 2 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 2*h**2 + 12*h + 82. Let j be z(-4). Differentiate 92 - 150*c**2 - 297*c**2 + 140*c**j wrt c.\nAnswer: -614*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 187*v + 4422 = 0. Solve -126 = 13*w - v for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.1. Let u = -0.04941 - 0.95059. Which is the nearest to u? (a) -1\/12 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + -22. Let g = c + 88. Suppose 3*b - i - 128 = 0, b + g = 2*b + 3*i. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 29*f + 36. Let o(h) = -29*h - 38. Let k(p) = 3*o(p) + 2*y(p). What is the tens digit of k(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, 1 l, and 1 u when four letters picked without replacement from {f: 2, v: 7, u: 3, l: 1, c: 3, m: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + ((-12)\/(-27))\/(674\/(-9099)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 24*y - 4*r, 2*r + 443973 - 443953 = -3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 2*x = 42 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/3))\/((h*h*h**5*h)\/h*h)*h\/h**(2\/7)*h\/((h*((h**(-1\/7)\/h)\/h)\/h)\/h))\/((h**(-1\/4)\/h*h)**(-29))**(-18) assuming h is positive.\nAnswer: h**(5419\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*k = 47, -4*b + 57 = -b + 5*k. Let s(f) = f**3 + f**2 + 26. Let r be -2 - (-4 + 1 + 1). Calculate the remainder when s(r) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -22. Let h be (-2)\/(a\/(-9))*-350. List the prime factors of h\/(-18) - 2\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 400*h + 5005 = 0 for h.\nAnswer: -11, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 6*o - 2*w + 1, 3 = 3*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3262.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54404 and 1972?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-461)\/(-13) + 3282\/(-7111).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five halves of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a8 + 242?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l + 5. Let i(u) = -5*u + 3. Let h be i(2). Let v be w(h). Let j = v + -439\/5. What is the common denominator of 1\/7 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9225278?\nAnswer: 2, 4612639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1468, 1372, 1276, 1180, 1084?\n\"Answer: -96*f + 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 3, a: 15}. Give prob of picking 3 a.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 3*a. Is 15 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 4. Suppose -o - 3*o = b. Let q = -23\/112 + 1\/16. Is q >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 5 + -10 + (4 - (-14 + 14) - 44)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 64 - 19. Suppose 12 = -5*x + o*x. Solve 4*a + g = -11, 3*a = -4*g - x + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 2\/9, 3, -13.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 1)*(5 - 2 + 0) + 0 + 3 - 6)*((-4*l + l + l)*(-l**2 + 0*l**2 + 4*l**2) - l**3 - l**3 + 3*l**3).\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -19*f - 392. Suppose -1050 = 7*v - f*v. What is the remainder when 199 is divided by v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12489134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 46*v**2 + 124*v + 68. What is z(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 13*j = 5. Let p = 43 + j. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 729\/45)\/(186\/60)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + n - 6. Suppose 3*i = -g - 16, 12 = -2*i - 3*i + 2*g. Let v = 3 + i. Let s(r) = -r**2 - r. Let h(m) = v*k(m) - 2*s(m). Calculate h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)\/(((u\/u**(-1\/6))\/u)\/u*u))**37*(u\/(u*u*u**(1\/4)*u*u)*u*u*u)**(-1)*((u\/u**(-8))\/u)\/(u\/((u**(-8)\/u)\/u)*u) assuming u is positive.\nAnswer: u**(-2435\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 628.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2172 - 1367. What are the prime factors of v?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83855.16 months in years?\nAnswer: 6987.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 + 5 = 0. Suppose -20 = 3*r + 2*r, q*f + 3*r = 342. Suppose a + a - 4*m = f, -24 = -a - 5*m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 2)*(-5 + 0 + 1 + (-4 + 2 + 1)*(4 + 1 - 3))*(4 - 2 + 0).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 1 = k, -5*k - 2*d - 6 = 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125451?\nAnswer: 3, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2784*t - 680 + 188139 + 89243 = 198*t for t.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756688 is divided by 250938?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1331)*2)**2 - (sqrt(1331)*-1 + -2).\nAnswer: 11*sqrt(11) + 133102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 32*s**2\/9 - 158*s\/9 - 80\/3.\nAnswer: -2*(s + 3)*(s + 5)*(s + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 4. Let g be m(-5). Suppose -2*h - 5*k + 74 = h, -h = -3*k - g. What is the lowest common multiple of h and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 37*n + 27. What is r(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 74?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15378201.17 to the nearest one thousand.\nAnswer: 15378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:52 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 3)*1 + -2 - -6*(sqrt(1584) + sqrt(1584)*-1 + sqrt(1584))*-1)**2.\nAnswer: -126*sqrt(11) + 43660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*d**3*p + 48*a*d**3 - 2*a*d**2*p - 8*a*d**2 - 2*a*p - 2*d**3*p wrt d.\nAnswer: -6*a*p + 288*a - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63c8 - -4?\nAnswer: -63c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 109, 241, 431, 679?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**2 - 31057*c - 217087. Give h(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1\/(-1) - 18\/8. What is the nearest to 1 in 5, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*m + 4*m + 29, -2*m = b + 9. Let o = -5.85 + 5.85. Let a = -0.1 - -1.1. What is the nearest to o in a, b, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1639327.\nAnswer: 163932.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 40 = 0. Suppose -i - 4*i = -y. Suppose 0 = -i*f + 3*f + 2. Solve -5*u + 13 = f*k, 2*u = -0*k + 3*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:26 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 65 - 250 + 69 - m**3 + 59.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let v(r) = 12*r. Let l(m) = 15*f(m) - v(m). Let k(i) = -i + 8*i - 4*i. Determine k(l(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n - 920 = 41*n. Differentiate -n + 457 - 189 + 22*u wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-1)\/(-30)*-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599326113 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 14, 47, 116, 233?\n\"Answer: 2*c**3 - 5*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253762210 to the nearest integer?\nAnswer: 35409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 373967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -40. Let f = a + 37. What is the remainder when 83 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-707)\/24318 - 61\/((-19215)\/(-70)).\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1100) + sqrt(1100) + 0 - sqrt(1100)) - (1 + sqrt(1100))*3)*-1*-3)**2*-2.\nAnswer: -79218 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -62, 5, 2, 34 in decreasing order.\nAnswer: 34, 5, 2, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-21)\/(o*(o**(-12)\/o*o)\/o)*((o**(2\/25)\/o)\/o)\/(o\/(((o**(18\/5)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-233\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3302 by 1651.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2597*k**3 + 2352*k wrt k.\nAnswer: -15582*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590730970 rounded to the nearest one million?\nAnswer: -1591000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445918444?\nAnswer: 2, 241, 462571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0595581 + -15?\nAnswer: -15.0595581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -324320?\nAnswer: 324323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(2\/33)*d*d*d**5*(d**(5\/4)*d*d)\/d)**(-49) assuming d is positive.\nAnswer: d**(-60613\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2556 + 6238. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -197a9 + 76b?\nAnswer: -1903c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 18*k**2 + 186*k + 51. Let t be o(-7). Put -41, -5, t in ascending order.\nAnswer: -41, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 8*i**2 - i + 10. Let j be y(8). Suppose j*g = -0*g. Let p = 179\/328 + -7\/41. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343455262?\nAnswer: 2, 31, 5539601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.012 - -0.012. Let f = 5 - 3. Let u = -2.1 + f. Which is the third biggest value? (a) 0.5 (b) d (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 12. Let r(b) = 13*b**2 - 4*b + 2. Let x be r(2). Suppose 1 = -3*o + x. Let s be v(o). Solve -7 = -5*t - 2*i, -t - 2*i = s*i - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 130.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. Let x(f) = -16*f**4 - 7*f + 2. Let u(g) = 17*g**4 + 6*g - 3. Let z(s) = m*x(s) + 2*u(s). What is the second derivative of z(h) wrt h?\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8*j + 1. Let b be d(7). Suppose 4*u = 5*x + 105, u + 3*x + 2*x = 45. Let f be 45\/(-54)*b\/u. What is the closest to 0.1 in 0.3, -6\/5, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*f + 6100, 1768 - 553 = f + 2*j. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -670 (b) 4\/39 (c) -0.41 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g + 84 + 95 - 203. Let a be w(-12). What is the greatest common divisor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose 2*a = l*r + 7 + 9, 3*a + 4*r = 3. What is the least common multiple of a and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35484.\nAnswer: 2, 3, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7116 (base 8) to base 7\nAnswer: 13451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3944*m - 19713. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -546548*v*z**4 - v*z**3 - 2*v*z**2 - 39*v*z - 857*z**2 + 2*z + 1 wrt z.\nAnswer: -13117152*v*z - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375365 is divided by 121?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -79. Find the third derivative of 3*n**w - n**4 - 31*n**5 - 6*n**4 + 7*n**4 wrt n.\nAnswer: -1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 - 7*d**3 - 4*d**2 + 869*d.\nAnswer: 24*d**2 - 42*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2)\/(-4)*-10. Suppose 2*w + 3*w + 4*p = x, -1 = -w - 2*p. Is 313 - w\/(-3 - 4\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1135, 0 in descending order.\nAnswer: 0, -0.5, -1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18757.2 + 16281. Let a = s + 2284. Round a to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n. Suppose n = -p + 2. Let b = p + -2. Solve 2*f + 3*a + 10 = b, -2*a = f + 4 + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115172430?\nAnswer: 2, 3, 5, 743, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/(-36) - 217\/(-124). Which is the nearest to -2? (a) 1.1 (b) -0.1 (c) q (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 737520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 - 3*r - 5. Let s = -215 + 212. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, 8.\nAnswer: -5, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742 <= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 357? (a) 2\/1309 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171787007 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s - 9*s - 6*s - 138 - 2*s + 5*s to p + h*s and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 399 - 396. Put j, -2.9, -0.4 in descending order.\nAnswer: j, -0.4, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19aa888 (base 12) in base 11?\nAnswer: 309376a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458, 1139, 2268, 3839, 5846, 8283, 11144?\nAnswer: 14423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 27, 82 in decreasing order.\nAnswer: 82, 27, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10961868 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60986\/2859 - 2\/953. Let y = -21 - s. Let a = 40 - 40.5. What is the closest to y in -2, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 10:25 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2\/13 + (-1620)\/390?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6587521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/20)\/9*(-40)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 636\/36)*(-162)\/72?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.078 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/15)\/(1\/(-90)*-3). Suppose 4*v - 6 - 2 = 0. Suppose 2*r = z - 53, -2*z - w = -v*r - 136. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895100610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -156. Let a = o - 51. Let u = -80 - a. 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: Let a = 81.9953 + -82. Round a to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:54 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -444592.4 and -0.35.\nAnswer: 155607.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 + 25*o + 4. Let h(y) = 11*y**2 + 38*y + 6. Calculate 5*h(i) - 8*n(i).\nAnswer: -i**2 - 10*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/839655 and -8\/45?\nAnswer: 839655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7069 - 6\/(-12)*2. Round t to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w = 58*w - 1. Let h be (-658)\/(1\/5*w). Suppose -2*k - h = -12*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 + 1464 = 219*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -2*v - 94 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297774 is divided by 99247.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**3 - 608*f**2 + 3230*f + 571. Determine y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83359, -166130, -248927, -331762, -414647, -497594?\n\"Answer: -2*d**3 - d**2 - 82754*d - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3416263*y**3 + 2*y**2 - 1370499 wrt y.\nAnswer: -20497578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 22 + 6 + (-6 - (0 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/4))**(-4)\/(a**(-1\/10)\/((a**(2\/21)*a)\/a)) assuming a is positive.\nAnswer: a**(-1009\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 1:14 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 9*h. Let w(c) be the third derivative of 7\/6*c**3 - 3*c**2 + 0 + 1\/3*c**4 + 1\/60*c**5 + h*c. Calculate w(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 97921, 97917, 97913, 97909, 97905?\n\"Answer: -4*f + 97925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 0*w = 13*w + 288 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1, 2*i = -0*i - 3*b + 9. Solve 4*l - i*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 + 2*t. Let o be q(-3). Suppose -2*r = o*z + 3 + 2, 0 = -2*z - 10. Let i = 7 - r. Solve 0*w - 8 = -i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 - -0.181404838.\nAnswer: 0.591404838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -1. Let f be (5\/(-2))\/(t\/16). Solve -f*s = -2*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23966000 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3010 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5278.39 millennia to years.\nAnswer: 5278390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-4\/7)*(n*n**(1\/3)\/n*n)\/n**(2\/5)*((n*n\/(n**2\/n))**11)**(2\/23) assuming n is positive.\nAnswer: n**(5254\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 374211295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*f + 1249 - 1249)*(0*f - 2*f + 3*f) in the form y + c*f**2 + d*f and give c.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = -z, 2*z + 9 = 3*x + 5*z. Suppose x*u - 12 = 3*g - 0, 3*g + u = -12. Let c(y) = -y**3 - 5*y**2 - 4*y - 2. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4, 0*j = 3*s - 3*j - 12. Suppose -s*q + q + 10 = 0. Find the third derivative of -9 + 2*g**2 + 9 - g**4 + q*g**4 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -3, 1 in increasing order.\nAnswer: -10, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 23.67876\nAnswer: 189.43008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * 48.51265.\nAnswer: 15.524048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.064, -10, 1, 6 in decreasing order.\nAnswer: 6, 1, -0.064, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 2*p**2 - p + 12. Let q be s(3). Solve -2*x - 3*c = 22, -4*x + q*c = -c + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2. Let w(k) = 2*k - 65. Calculate w(t(y)).\nAnswer: -2*y**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/17 or -947816?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 (base 6) in base 4?\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/549 and 74\/99.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 28, 88, 166, 268, 400, 568, 778?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjnnninddlpindn. Give prob of picking 1 n, 1 i, 1 j, and 1 d.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.5. Let n = -0.36 + 5.36. What is the closest to 2\/3 in n, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8969520 and 1520?\nAnswer: 8969520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 652746 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -240\/2578871 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2513.\nAnswer: -5\/2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3094 - 617266125.\nAnswer: -617269219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 4732 = -4314 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 363*l*n**3 - 131*l + 98*n**3 + 721*n**2 + n + 3 with respect to l.\nAnswer: 363*n**3 - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 4\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 36 = -4*y. Let x = y + 12. What is the closest to 1 in 4, x, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-3) - -4) + 2. Solve -4*c + 5*x + 16 + 4 = 0, -4*c - 2*x = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 37. What is the remainder when y is divided by (3 - 2 - -12)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-1 + -1)) + -1 + -29 + -696 + 652.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15573875.\nAnswer: 5, 23, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - u + 3*u)*(-1 - 2 + 4) + (5*u - 2*u - 2*u)*(32 + 1 + 22) + 408 + 50*u - 408 in the form x + z*u and give z.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -20, 2*m + 16 = -4*h - 8. Is h <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 30*p + 113. Let i be t(18). Solve -2*z + z = -i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1*2\/6). Suppose -4*f = -f - y*p - 3, -3*p = 4*f - 18. Let h = 45 - 34. What is the lowest common multiple of h and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 11*v**3 - 5*v**3 - 8 + 39*v**3 with respect to v.\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632657.\nAnswer: 59, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2222011221102?\nAnswer: -2222011221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piipoopzoip. What is prob of sequence iz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 16837.\nAnswer: 4\/16837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 - (-773400)\/(-10450))*11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 100*z - 838. Calculate the least common multiple of n(10) and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6454 - 4667 = -221*n - 513 - 1326 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 114.2312 tonnes?\nAnswer: 114231.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -181*a - 85. Is 18 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -6. Let p be (40\/n)\/(4\/54). Suppose 4*a - 2*d - 1 - 7 = 0, -4*a + p = 5*d. Solve j + 5*w = a*j - 22, 3*j = 2*w + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 61. Let u(s) = 6*s**2 - 10*s**2 + 5*s**2. Give u(q(d)).\nAnswer: 25*d**4 + 610*d**2 + 3721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*m + 5*t, -3*t = -5 - 1. Suppose 5*r = 4*w - 40, m*w - 10 = 3*r + 40. Suppose 4*i - y = 4*y - 27, -2*y - w = 0. Sort -1, -2\/5, i.\nAnswer: i, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15411457*g. Let t(x) = -3*x. Calculate t(j(z)).\nAnswer: 46234371*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235288 is divided by 171?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = x + 3. Suppose -15 = -11*w + x*w. Find the second derivative of 32*o + 3*o**3 - 3*o - 13*o**w wrt o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*c + 2. Let x = c - -35\/4. Let v = -802\/3 + 3953\/15. What is the common denominator of v and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -15, 2\/383, 3, -1\/2 in decreasing order.\nAnswer: 3, 1, 2\/383, 0, -1\/2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8*w - 9*w + 101 = 0, w = 5*y - 249. Which is smaller: y or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.05378 - -0.05378. What is the biggest value in 0, -0.3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*k + 26*k + 4420. Let v(w) be the third derivative of 0 + 1\/280*w**7 + 0*w**3 - k*w**2 + 1\/16*w**5 - 1\/40*w**6 - 1\/16*w**4 + 0*w. Factor v(q).\nAnswer: 3*q*(q - 2)*(q - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyy when four letters picked without replacement from {y: 5, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233625189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30584 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-11))\/a**(2\/3))\/((a\/(a**(2\/11)*a))\/a**(-5)) assuming a is positive.\nAnswer: a**(215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 12*t**2 - 15*t - 8. What is m(-10)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19797 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 + 47*z + 5. Calculate o(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9654, 6\/7, -0.1, 3\/4, 0.2, 3\/2.\nAnswer: -0.1, 0.2, 3\/4, 6\/7, 3\/2, 9654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20317098?\nAnswer: 2, 3, 89, 38047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -92*c**3 - 21*c**2 - 38*c - 9. Let f(t) = -46*t**3 - 11*t**2 - 20*t - 5. Let r(h) = -11*f(h) + 6*w(h). What are the prime factors of r(-2)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + l - 2*l**3 - 20 + l**3 + 0*l**3 + 3*l**3 + (-l**2 - 3*l + 3*l)*(-4*l - l + 4*l).\nAnswer: 3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4532092 millilitres in litres?\nAnswer: 0.0004532092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32440*k**2 + 6317*k - 3157*k - 3158*k - 32437*k**2.\nAnswer: 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/18550 and 45\/24064.\nAnswer: 223193600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddgggssdssdf. Give prob of sequence fs.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 663375803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 17. Let n be b(-8). What is the derivative of n*r + 10*r - 3*r - 5*r + 2 wrt r?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1792535 (base 11) to base 12.\nAnswer: 1023948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.023 (b) 0.1 (c) 3\/11 (d) -0.4 (e) 0 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76360 divided by 20?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:09 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37207.\nAnswer: 29, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/16 - 11*o**3\/12 - 3*o**2 + 9*o + 44. Factor t(w).\nAnswer: -(w - 1)*(w + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 16. Let b(q) = 5*q**2 + 74*q + 1. Calculate b(i(j)).\nAnswer: 20*j**2 + 468*j + 2465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = 3*o - 0*o, 8 = -4*o. Let q be (-4)\/(-36) - (3 - 42\/108). Which is the closest to r? (a) q (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**2)**(-49)*w**(-1\/3)\/w**(-4))\/((w**5*w)\/(w*w**0\/w*w)*(w*w\/(w*w*w**(2\/3)*w))**40) assuming w is positive.\nAnswer: w**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by (-5)\/(10\/244)*2\/(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + (-15 - (-14 - (2 - 7)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0256 - -0.024898. What is n rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*v = -32, -5*o - 3 - 1 = -4*v. Let d be (5\/(-10))\/(((-5)\/2)\/5). Let m(h) = -74*h + 39*h + 38*h + h**2 + d. Determine m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 306933.9 minutes?\nAnswer: 18416034000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7692692319 and 161.\nAnswer: 160.2307307681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + x - 20*x**2 + 22*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19360 is divided by 1759?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + 0 + sqrt(567) - (4 + 0 + sqrt(567))) + sqrt(567) + sqrt(567) + sqrt(567) + 1 + -4 + -1 + sqrt(567)*2)**2.\nAnswer: -450*sqrt(7) + 14200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -2, 5, -1, -30, 0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 428725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 26\/3*i**3 + 0 - 3\/2*i**2 + 263*i. Let u(z) = z. Give u(v(x)).\nAnswer: 52*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:21 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 8:35 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:39 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(14 - 840\/63).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*z + 137*z + 1729 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220011221112 - -12110?\nAnswer: 220012010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -27\/2, 0.2, 23, -15 in increasing order.\nAnswer: -15, -27\/2, 1\/7, 0.2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.53, -6, -2\/9, 5, 5\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 1. Let f be n(2). Solve g - 2*g**3 - 3*g + g**5 + f*g + 0*g**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 228, 235, 262, 315, 400, 523?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Are v and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/12 - ((-21)\/(-6))\/7. Solve -s*n - 27 = -16*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6 - 42\/5*b**3 + 39\/5*b + 3\/5*b**5 + 6\/5*b**4 + 24\/5*b**2 = 0?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26356.94573 rounded to the nearest 10?\nAnswer: 26360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/9)\/(-5) - 4\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**3 - 223*h**2 + 166*h - 53. What is i(55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4986 by 7481.\nAnswer: 4986\/7481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 299840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**3 + d**2 - 20*d - 12. Let m(c) = -26*c**3 - 2*c**2 + 60*c + 36. Let k(x) = -14*j(x) - 5*m(x). Factor k(w).\nAnswer: 4*(w - 3)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:38 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6)**44)**(-29\/4) assuming q is positive.\nAnswer: q**(-1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 618207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -2992.\nAnswer: 49\/2992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*d = 6, -3*q - 4*d = -5*d + 2. Suppose q*t = 2*t - 150. Let l = -40 + t. Calculate the highest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(1584\/3996))\/(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 5*h**2 + 10*h + 9. Let a be w(-7). Let x = 42 - a. Let y(f) = -f**2 + 0 + 2*f**2 - 7*f - 1 - 1. Calculate y(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1188, -5 in ascending order.\nAnswer: -1188, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**3 + j**2 + 3*j + 4. Let u(a) = -7*a**3 - 3*a**2 - 6*a - 8. Let r(i) = -3*u(i) - 5*v(i). Let o = -30 - -20. Let z = 6 + o. Determine r(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 31. Let v be m(8). Suppose -1206 = 6*d - v*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1323 + 4*k**2 + 3*k**2 + 0*k**2 + 8*k**2 + 5*k**2.\nAnswer: 20*k**2 - 1323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 91. Suppose 4*n - 8261 = -i*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-19\/4)*b)))**(7\/6)*(b**(-20))**(-28) assuming b is positive.\nAnswer: b**(13363\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12717288, 12717280, 12717272, 12717264?\n\"Answer: -8*c + 12717296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 1113?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 9*b**5\/140 + 5*b**4\/28 - b**3\/7 + 4*b. Suppose w(k) = 0. Calculate k.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 - 124. Let p(f) = -67*f + 150*f - 74*f + 1. Give p(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j**2 - 3687 + 3681 + 30*j**2)*(5*j**2 - j**2 + 2 + 0).\nAnswer: 184*j**4 + 68*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**14\/(t*t*t\/t**(-5\/3)*t\/((t\/(t**(-6\/11)\/t))\/t)))\/(((t\/(t\/(t**5\/t)))\/t**(-3))\/(t\/((t\/t**(4\/3))\/t)*t**(-1\/5))) assuming t is positive.\nAnswer: t**(-713\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.4198 litres in millilitres?\nAnswer: 228419.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7304109, 29216353, 65736767, 116865357, 182602129, 262947089, 357900243, 467461597?\nAnswer: 591631157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4648)\/(-4*4 + 1). Let q = r - 310. Let f = 2051 - 2059. Is q at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 51. Let h be 0 - 1 - -3 - l. Let n = -13 + 22. What is the highest common factor of h and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12424815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -4*s, -s + 6*s = 4*z + 5. Suppose -4*b = -13 + z. Solve 0 = 3*m - 2*r - 17, 3*m = b*r - r + 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7159391.\nAnswer: 233, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93.9 or 660467?\nAnswer: 660467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 8, 22, 42, 68, 100?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 293093*d - 60. Let m(j) = j. Determine m(r(f)).\nAnswer: 293093*f - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/18 + (-85)\/102?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 2*i**2 - 9*i - 12. What is n(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1183 + 2535. Suppose 5*q - j = u, 19*q - 18*q = 4*j + 278. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2099, 3, 30, -13, 1, -3, -4 in decreasing order.\nAnswer: 2099, 30, 3, 1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801262.2 micrograms to grams.\nAnswer: 0.8012622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.062 + 0.0620221. What is a rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/20 + l**4\/8 - 17*l**3\/3 - 11. Let y(t) be the third derivative of b(t). Let a(s) = -2*s - 1. What is 8*a(i) + 3*y(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4 - 6, -2*n + 13 = 3*z. What is the greatest common divisor of 201 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k - 10. Let q(b) = 2*b - 4. Let h be q(4). Let u be (6\/h)\/(k\/(-10)). Solve -d = -u*y + 17, 0 = -2*d + 2*y - 6 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 15*w - 11. Let u be (-1)\/(12\/(-9))*8\/2. Let h be (-4 - (u - 8)) + -14. What is the units digit of t(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p + 533. Let r be d(0). What is the second derivative of 0 - 2 + 1 - 56*w**2 - 538*w + r*w wrt w?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (21 + 1131)\/(-64)*-10*1\/4\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1. Let z(m) = 1713*m - 8. Let w(i) = -6*p(i) - z(i). Let t be w(-3). Suppose 4117 = 4*j - g, g - t = -5*j + 4*g. Round j to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85139 is divided by 367?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 6*s - 2. Let n be c(-4). Suppose -3*g - n = -9. Let p be 1\/(4 + g\/4). Solve -14 = p*j - v + 1, -5*v = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1988 and 42316.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*s + 35 = 0, -o - 4*s + 20 = -5*o. Is 3 a factor of (-2)\/(-3) + (-26)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 7. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 3 + 3 + (10 + 5 - 11)*(4*d - d - 5*d) - 5 - 9 + 5 - d - 4*d - d + 4*d to the form v + z*d and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6313 (base 7) in base 9?\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 2*r + 12, -3*r = -3*l + 6. Suppose 5 = -l*k + 3*k + 5*o, 2*o = -5*k + 35. Solve 5*v + 2*f - 28 = 0, 10*f = 3*v + k*f + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279466 and 978131?\nAnswer: 1956262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22432 is divided by 349.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c - t = 74*c + 10, -4*t = -c + 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15872420 + 7582*u - 15872420.\nAnswer: 7582*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 8*q**2 + 23*q - 12. Let n(h) = 3*h**3 + 2*h**2 - 2. Let l be n(3). Suppose l = -8*s + 9. What is the units digit of p(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172652047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 13 (c) 190 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70122 divided by 2697?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -23, -54, -109, -194, -315, -478, -689?\n\"Answer: -j**3 - 3*j**2 + 3*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c - 6*c + (0 - 3 + 2)*(12*c + 23 - 23)*(5 + 1 - 3) - c + 6*c - 16*c.\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 8:35 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -1 (b) 2 (c) 0.2 (d) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 2*u**2 - 5*u**2 + 5*u**2 + 40560*u**4 - 40561*u**4 + 3*u - 2*u**3 + 2 to x*u**2 + c + z*u**3 + m*u + v*u**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45378673 + 45378695.000013. Let m = -72 - -50. Let p = m + u. What is p rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 4. Let d be q(3). Let y(p) = -6 + p - d*p - 4*p - p. Let r(o) be the second derivative of -o**3\/3 - o**2 + 13*o. Determine 14*r(c) - 5*y(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*8\/4)\/(-1). Let d(j) = -j**2 + j - 1. Let a be d(0). Let q be (a + 8\/6)*12. Solve 32 = -y + q*y - x*t, y + t + 1 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let h(b) = -b**3 + 12*b**2 - 19*b - 7. Let a be 20\/(-35)*(-35)\/2. Let f be h(a). Sort 1, m, f in descending order.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q + 4. Let s be z(-4). Suppose 2*t = 38 + s. Solve -3*r - t = r - 3*i, r + 3*i - 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.17, 48, 0.3, -0.3 in ascending order.\nAnswer: -5, -1, -0.3, -0.17, 0.3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/33*3\/(-2))\/(3\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1854*a**2 - 4428*a**2 - 3886*a**2.\nAnswer: -6460*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 less than 130.63031?\nAnswer: 131.35031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/6 + 3*n. Suppose 4*g - 3 = 5. Let x(d) = 0*d - g*d + d. Give x(u(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39775*b**3 + 112238*b**2?\nAnswer: -238650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(156) - sqrt(156)) + sqrt(156))*6 + sqrt(156))\/sqrt(12).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-1)*-1)\/((-102)\/77010) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22*l**2 + 2*l - 3. Let k(z) = z**2 + z - 1. What is -2*k(x) + s(x)?\nAnswer: 20*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 4, v: 1, p: 4, j: 3, i: 1}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q + 1. Let i(r) = -r**3 + 4*r**2 + 5*r + 4. Give 10*a(m) - 2*i(m).\nAnswer: 2*m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 4413696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 15*a - 530 = -91*a. Suppose 0*i - 5*i + 90 = 0. What is the remainder when i is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*a + 4 - 22 = 0, -4*a = 3*q + 41. Let j(p) = -p**2 - 8*p + 8. What are the prime factors of j(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-48) - 4\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 69 = -3*b. What is the remainder when 45 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -33*q**2 - 2*q - 2. Let c be g(-1). Let t = c + 37. What is the common denominator of -31\/3 and t\/(-16) - (-252)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15*i**(1\/2))**(-34) assuming i is positive.\nAnswer: i**(-527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(46\/(-184))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 40. Let h = d + -21. Let l(s) = 2*s. Let w be l(2). Solve w*v = -v - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39031 - -2576095\/66. Calculate the common denominator of 39\/11 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {g: 4, c: 6, o: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 + 7*w + 18. Let r be f(-6). Let d be 4\/34 + 24\/r. List the prime factors of d + 1180\/24 + 1\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 19*p + 24)*(-3 + 5 - 4)*(-1 + 0 + 3).\nAnswer: -76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - l - 233, 2*m + 3*l - 100 = 0. Let x(c) = c**3 + 52*c**2 + 144*c - 111. What is the remainder when m is divided by x(-49)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 3*d**3 + 9*d**3)*(-2*d + 3*d - 2*d) + (d + 2*d**3 - d)*(-d - d + d) + 4*d**4 + 3*d**3 - 3*d**3.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 + 33869?\nAnswer: 33795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.015, 2, 0.2, -2\/13, -1, 139?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2 + 2 + (15*b + 6*b + 16*b)*(6 - 2 - 3))*((5 - 2 - 1)*(5*b - 2*b - b) + 11*b - 3*b + 2*b).\nAnswer: 532*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16)*212\/(-53))\/((-13)\/4)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/6 and 55\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 8. Let m = 200 + -215. Let y(u) = 18*u**2 + 30. Let v(l) = m*r(l) + 4*y(l). Let c(z) = 17*z. Determine c(v(q)).\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - 3*d**2 - 3*d. Let n be x(-3). Find the common denominator of 15\/12*n\/20 and -53\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 + 36*y**2 + 8*y - 27. Let h(l) = 4*l**3 + 18*l**2 + 4*l - 14. Let s(a) = -5*h(a) + 3*u(a). What are the prime factors of s(-10)?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.20116493 and -1.\nAnswer: -0.20116493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - c = 3*c - 17, 4*z + 4*c = 24. Suppose 0 = -2*b + 3 + z. Solve -5*r = 2*v - 13, -2*r + b*v + 18 = 6*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 3*w**2 + 8 - 4 + 4 + 2*w**2 + (-5*w + 6*w + w)*(-w + 5*w - 2*w) + w + 3*w**2 - w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/390953 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.42 (b) -1\/2 (c) 0 (d) 458 (e) 4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/228257 or 1?\nAnswer: -10\/228257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*i = -8*i - 11, -2*r + 5*i + 5 = 0. Suppose -x + 4*b - 3*b + 1 = 0, -4*x - 2*b + 10 = 0. Calculate the lowest common multiple of r and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1606*a - 10418. Let q be j(7). Calculate the highest common divisor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Let m = -52 + 54. Suppose -3*g = 4*s - 39, 2 + 19 = m*s + g. Solve -c + 14 = 3*t, -5*c - s + 34 = a*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.16, -0.07, 4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 1340 + 1000. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120373 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:49 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 230\/4 - 14\/(-28). What is the second derivative of q + 101*q**4 + 833*q**3 - 833*q**3 - 38*q**4 - i wrt q?\nAnswer: 756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/25 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10636.5 + -10636. Put -2, -6, -5\/2, 0, z in descending order.\nAnswer: z, 0, -2, -5\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6372991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13653\/367 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -17)*2\/(16\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3508376 and 1.2.\nAnswer: -4210051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - 86 - -7 - (-1 - (-1 + -10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l + 16. Let j(x) = -x**3 + 5*x**2 - 4*x + 1. Let t be j(4). Let h = -116 + 119. Which is the nearest to t? (a) -1\/4 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -68, -130, -192, -254?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let o be (r\/1 - 1) + -1. Suppose 4*d - 5*j = 51, o = d - 0*d - j - 12. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054186 and 5642?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9557921669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 3*m**3 + 253 - m + 348.\nAnswer: 4*m**3 - m + 601","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*f**2 + 159*f**2 + 17*f**2 to the form y + q*f**2 + g*f and give q.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(2\/3)*c))\/c)**29*c**6*c**(-6)*((c**(-2))**(-48))**(1\/8) assuming c is positive.\nAnswer: c**(-109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 0.144869\nAnswer: -0.01883297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 3*p + 6. Let z be j(-5). Let s = z + 3. Let c = s - -1. Solve -4*h + 2*o - 20 = c, -o + 4*o = -3*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 396644063\/18 + -22029151. Let i = -6627 + y. Let q = 5487\/8 - 2793\/4. What is the common denominator of i and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 15 + 23 - -8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 - 3*r - 22. Let d(b) = 13*b**2 - 4*b - 29. Let w(z) = 3*d(z) - 4*j(z). Let p(i) = 2. Give -6*p(x) + 2*w(x).\nAnswer: -2*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(22)\/sqrt(2))**2.\nAnswer: -2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/4 - n**2\/2 + 9*n + 3. Let y be v(0). Suppose -4*j + 2*j + y = -d, 5*j - 5*d = 20. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 146\/31675 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.229650887 rounded to 4 decimal places?\nAnswer: 0.2297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 2, t: 1, d: 1, f: 7, k: 1}. What is prob of sequence qde?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 16*w + 7*w + 6*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 2*h**3 + 6*h - 44 - 40 + 87 to the form q*h**3 + p*h + z*h**2 + f and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**16*a*a\/((a\/(a\/(a*a**(-4\/9))))\/a)*a**(-3\/4)\/a**(2\/25) assuming a is positive.\nAnswer: a**(-12047\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-6)\/(-4))\/(-3 - 734\/(-244))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1 - 7 + 3 - p + 7. Calculate m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9153 + -5196. What are the prime factors of g?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*q - 1140 = -11*q. Sort -4, 3, q, -2 in increasing order.\nAnswer: q, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627457.\nAnswer: 389, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010 + 12?\nAnswer: 3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 2916 = -102*i + 541 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002.954ns in hours?\nAnswer: 0.000000001945265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 58 (c) -0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 120*a**2 + 1914*a - 3364.\nAnswer: 2*(a - 29)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2497 (b) 0 (c) -121 (d) -4 (e) -5 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 4*p**4 - 3*p**4 + (466*p**2 + 458*p**2 - 713*p**2)*(-4*p**2 + 2*p**2 + 0*p**2) + p**2 - p**4 + 0*p**4 + 4*p**4.\nAnswer: -418*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*c + 56 = -105, 0 = -5*l - c + 251. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {m: 2, q: 4, y: 1, e: 6, f: 2, l: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/(6\/8). Let c(n) be the third derivative of -n**4\/8 + n**3\/2 - n**2 - 5*n - 15. Let l(s) = s - 2. Determine b*c(q) + 5*l(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808 and 424264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -21*v**3 + 3*v - 2. Let q be z(1). Let g(n) = n**2 - 8*n - 15 - 1 + 16*n + 9*n. Is g(q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123995.879 + -123806. Let c = l - 190. Round c to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -33, -25, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015699 rounded to 5 dps?\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 greater than 194878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 10:25 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from cnrnacancccgvnc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548099 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2213*z = -2214*z - 0 - 0, 5*z = 2*n + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15*i + 12*i = -157, 5*i + 281 = 4*a. Suppose 0 = -4*q - 5*v + 587, -3*v = -4*q - q + 743. What is the greatest common divisor of q and a?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (2\/(-1) + -10). Let g = -11 + k. Put -4, -31, g in increasing order.\nAnswer: -31, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = n, -4*n + 21 = 2*l - 5. Let o be 2 - (n + -2 - 2). Suppose -m = -j, o*m = 5*j + m. Is j > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184808 is divided by 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-6)*r*r)*r**(-2\/3)*r**(-5)*(r*r*r**2*r)\/r assuming r is positive.\nAnswer: r**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.18 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(170)*2)\/sqrt(10)).\nAnswer: -10*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17114806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2556 and -7\/396?\nAnswer: 28116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 + 1. Let o = -86 - -100. Suppose -o + 5 = 3*a, 2*i = -4*a - 12. Suppose i = -7*m - 38 + 17. Let n(h) = -4*h**2. What is m*n(b) + 2*j(b)?\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18314 is divided by 85.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(-2*i + 5*i + 0*i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 22247800 - 150369980. Let h(q) = -q + 13387782. Let v be h(0). Let n = b - v. Round n to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/83825 and -21\/131725?\nAnswer: 922075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-36) + (-4)\/6. Solve l = w - 0*w - 5*i - 29, 2*i = w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 20. Let v be (-2 + 4 - -1) + -1. Suppose -v*q + u + b = 0, -5*q + q + u = -44. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 3 (c) -2\/235 (d) -56037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/36*(-12180)\/290.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - y - 11 = 3*r, 3*y - 3 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 144\/619, -1\/11, -5, -2\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2.17, -4\/3.\nAnswer: -9, -2.17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 17*k + 6*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19737 divided by 6\nAnswer: -6579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = -135. Suppose -17 = c - n. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*z + 102*z + 62*z = 75*z - 10350 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 11:35 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000974104808 to seven decimal places.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(406\/(-144)) + 50\/(-175).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**2 + 76*t - 12*t**3 + 14 + 11*t**3 - 26*t**3 + 69*t**2. Let v(c) = 136*c**3 - 411*c**2 - 380*c - 69. Let f(g) = 11*r(g) + 2*v(g). Factor f(q).\nAnswer: -(q - 4)*(5*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 12*r**2 - 6*r - 7. Determine u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*i = -14, -s - 30 = -5*s - 2*i. What is the greatest common divisor of s and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*o - j + 12, -2*o - j - 19 = 0. Let k = -10 + 7. What is the nearest to 0 in 1, o, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/4)\/14)\/((-1)\/(-12)*-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 54 - 108. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-12))\/(((-55)\/(-22))\/((-21)\/14))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*(9 + -20 - -13)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 13*f - 460779. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 4\/3 (b) 7 (c) -1\/7 (d) 1631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 equal to 175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.63 - 17.\nAnswer: 4.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a + 81. Let t be u(12). Let g be t\/11*2*-2. Calculate the highest common factor of g and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Suppose g*a = -4*a. Factor 6 + 3*l**2 - 9 + a*l**2.\nAnswer: 3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from zafksfszafakffsszak.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2\/15, -1, 1\/5 in ascending order.\nAnswer: -1, -2\/15, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 0 + 2 - 44\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*g + 419*g + 13*g - 17667 = 0 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Which is the third biggest value? (a) 5 (b) l (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -15. Let t be 28\/21*8*3\/4. Solve 3*z + x = -t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4564 times -0.0228\nAnswer: -104.0592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*f - 72, 2*f - 3*d + 2*d = 47. Is 22 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15474870?\nAnswer: 2, 3, 5, 139, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtt. What is prob of picking 2 t and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b40 (base 13) in base 10?\nAnswer: -6305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2) + (-90)\/(-86). Suppose 4*b + b = -3*h - 25, -2*h + 4*b + 20 = 0. Are h and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.266986 and -1.\nAnswer: -0.266986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from ggggggngkggggn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 19*j - 14. Does 12 divide v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from ttttctcwwqtwtqt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -154*y - 103. Is k(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397711?\nAnswer: 7, 199673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (163\/(22168\/(-4216)))\/(((-12)\/9)\/4)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -104*q. Let g(u) = 9*u**2 + 100806*u. Give p(g(l)).\nAnswer: -936*l**2 - 10483824*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**6\/4 - 21*y**5\/10 + 57*y**4\/8 - 25*y**3\/2 + 12*y**2 - 6*y + 23. Factor t(b).\nAnswer: 3*(b - 2)**2*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 24. Let t = -6241 - -6250. Calculate y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 110574.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*a + 30 = 0, a = -3*f - 2*a. Let d be f\/(1 + 4 + -4). Let i = d + 5. Solve -g + 4*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6307 + -14?\nAnswer: 6273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 153*k - 3659. Let j be p(21). Let q(u) = -u**2 + 5*u + 17. Let m(z) = -3*z - 8. What is j*m(o) - 3*q(o)?\nAnswer: 3*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 10 - 9)*(-3*k**3 + 3*k**3 - 6*k**3).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 7*v = 8, -4*j + 116 = -2*v. Suppose 20 = x - j. Which is bigger: 49 or x?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1917 - 2362*j - 1767*j + j**2 + 4129*j)*((-1 - 3 + 2)*(-1 + 1 - 1) + 1 - 3 + 1 - 3 + 2 - 1).\nAnswer: -j**2 - 1917","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9802, 9791, 9774, 9751?\n\"Answer: -3*i**2 - 2*i + 9807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -38 + -2*8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:38 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5351194482 to the power of 1\/3, to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:51 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-54)\/18 + (1 - -1). Suppose 0 = -3*h + 27 - 132. Which is the closest to h? (a) 5 (b) w (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30512544 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/9)\/h)\/(h*h**(7\/2)))\/(h**22\/(((h*h**(-4))\/h)\/h)) assuming h is positive.\nAnswer: h**(-583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103898.77783616 minus -6?\nAnswer: 103904.77783616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.99949 + -66. What is c rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -310 + 303. Put 0.3, -0.1, w, -0.5 in decreasing order.\nAnswer: 0.3, -0.1, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.890788nm in millimeters?\nAnswer: 0.000007890788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a5 (base 15) to base 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14126.09 rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2605 - 1812?\nAnswer: -3e17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + sqrt(78) + -5*sqrt(78)))*4)\/(-2*(sqrt(6) - -2*sqrt(6))).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 4 + 5 + 3. Differentiate 25 - 7*w + 9*w - f wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/2, -2\/7, 3\/4, 0.15, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 78 + 1\/(1\/(-3)). Suppose -4*l + 60 = 2*w, 2*w = 5*l + 6*w - b. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*6\/(72\/(-6)))\/(468\/18)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2220022 (base 3) to base 15\nAnswer: 95e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**2 - 34*f - 17. Let h(z) = -3*z**2 + 12*z + 6. Let g(l) = 17*h(l) + 6*j(l). Let a(u) = 9*u**2 + 5*u. Give a(g(d)).\nAnswer: 81*d**4 + 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11001011011111000 (base 2) to base 12\nAnswer: -50360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1779*a**3*p*t**2 + a**3*p*t - 3*p*t - 65*t wrt t?\nAnswer: 3558*a**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d)*(437*d - 437*d + 30*d**2).\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-88)*((-54)\/(-12) - 5). Which is the third biggest value? (a) 2\/9 (b) i (c) 2\/65 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/15 and -1\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 16 = k + 6 - 15, 0 = 5*w - 2*k + 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from llllllllxllllll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let p(k) = -12*k + 7. Let a(j) = 26*j - 15. Suppose 0 = 96*v - 103*v + 28. Let f(r) = v*a(r) + 9*p(r). Determine f(z(q)).\nAnswer: 8*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 2*k + 1. Let f be n(3). Let u be f\/(-16) + -1 + -1. Put u, -4\/3, -2 in decreasing order.\nAnswer: u, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50883*g**5\/5 + 712366*g**4\/5 + 539371*g**3 + 2035532*g**2\/5 + 32*g = 0 for g.\nAnswer: -8, -5, -1, -4\/50883, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {p: 7, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.007546412 + -4.5756\nAnswer: -4.568053588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22.5 times 3\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 506 + -462. Let n = -5 + 9. What is the greatest common factor of m and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -17.\nAnswer: 210\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.159, 0.2, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 58*w - 849. Calculate a(-27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813, 817, 823, 831, 841?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 35212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 149?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 36*j**2 - 116*j + 395. What is d(-32)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, f: 2, l: 3, z: 1, y: 2, p: 6}. What is prob of sequence zfqq?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 666430 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 10*z**2 - z + 11. Let j be y(10). Let a(h) = -h**3 + 3*h**2 + 2*h - 1. Let k be a(4). Let o = 4 + k. Sort j, 0, o in decreasing order.\nAnswer: j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*1\/(-1))\/((-12)\/(-36)). Put -1, h, -5, -4 in ascending order.\nAnswer: -5, -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/((x\/((x\/((x*x**(-2\/3)\/x)\/x*x))\/x)*x)\/x)))\/x))**(25\/4)*(x**0)**5 assuming x is positive.\nAnswer: x**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164447171 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 12*n**2 - 13*n - 2. Let g be l(13). Let p = g - 1. What is the units digit of ((-1)\/p)\/((-2)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002.98 take away 143077.4?\nAnswer: -142074.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33479 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 72 + 60 = 4*c, -p + c - 61 = 0. Let w be 462\/8 + -1 + -1. Let h = p + w. Is h greater than or equal to 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 4 + (0 - 2 + 0)*(4 - 3 + 0) + 2 + 0 - 3 - 2 + 3 - 3)*(-2*l + 5*l + 0*l) as i*l + g and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t**4 + 0 - 11\/3*t**3 + 0*t + 1\/10*t**5 - 39*t**2. What is the first derivative of f(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 1 + 0 - 3 + 2.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -34384360\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 635 + -636. Which is the nearest to -0.1? (a) 1 (b) 6 (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17238 - 17252. Let m = 0.2 - -0.8. Which is the biggest value? (a) 4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -54*a - 3. Is 9 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.85284 months to millennia.\nAnswer: 0.02082107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x - 7. What is k(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 27.9. Let m = 7 - l. Which is greater: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w. Let u(a) = 119*a**2 + 7*a + 24. Let h(t) = -215*t**2 - 13*t - 44. Let k(g) = 6*h(g) + 11*u(g). Calculate z(k(r)).\nAnswer: -76*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbk when three letters picked without replacement from bvkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212 - -210. Let o(h) = -h**3 - 3*h**2 + 3*h + 3. Calculate o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -367147*f**4 + 156*f**2 - f - 823.\nAnswer: -8811528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000212122200 (base 3) to base 2.\nAnswer: -10000101111101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35409, -301, -3 in descending order.\nAnswer: -1, -3, -301, -35409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -856 (base 12) to base 6.\nAnswer: -5350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*j + 3*z, 0 = -j + 5*z + 7 + 1. Suppose 2*k + 5*s = s + j, -2 = -3*k + 4*s. Solve 0 = -2*f - r - 9, -18 = -f - k*r + 6*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6816906 is divided by 6816884?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4467 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -9 - (-12 + 21 + -12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - g = -12*z + 133, 172 = 4*z + 4*g. Calculate the remainder when 98 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2884\/7931)\/((-100)\/(-22))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = 18. Let x = n - -39. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0 - 20, -8 = -4*j + 5*l. Calculate the remainder when 26 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-35)*-18*270\/(-72)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*z - 3, 2*z = 2*k - 5 - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44517 is divided by 2458.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/21*(-70)\/30. Which is bigger: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11134 + -11092. Which is the nearest to q? (a) -1\/9 (b) 4 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = -u, -5*u = -11*u + 2*a + 30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -444*j + 324*j + 2400 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-36)*-27*-1*2\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -32?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 4*b**4 + 2*b**4 + (4 - 4 - 2*b)*(-2*b**3 - 4*b + 4*b) - 4*b + 4*b - 2*b**4 - 1 + 1 + 2*b**4 + 6*b**4 + 1 + 2 - 1.\nAnswer: 11*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*f = 367*f - 30. Let o(b) = -1407*b**2 + 7*b + 60. Let d be o(f). What is d rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2 - 2)*(-1375*f - 7 + 1 + 853*f) to the form u + z*f**2 + s*f and give z.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 27*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -231, -1896, -6437, -15300, -29931, -51776, -82281?\n\"Answer: -241*m**3 + 8*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + -8. Let v = -681 - -4764\/7. What is the biggest value in z, -3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(((sqrt(700)*2 + sqrt(700))*3 - (0 + sqrt(700))*6) + 5 + -5)*-5)**2.\nAnswer: -900*sqrt(7) + 1417501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -66, -7, -4, 1\/9, 4, -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/2098 or -0.1?\nAnswer: 13\/2098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-28))\/((-2)\/6). Let h = -0.3 + 0.3. What is the nearest to 0 in h, 0.5, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(3048\/(-900)*-25)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -29. Suppose -131 = -5*o + t*u, -4*u + 4 + 4 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875530 = -14*y + 875376 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/24*(-455)\/(-845)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = w + 5*a, -2*a + 4*a + 10 = 0. Let c be ((-3)\/w*3)\/(5\/(-100)). What is the highest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w**3 + 25*w**5 + 26*w**3)*(1 + 0 + 1).\nAnswer: 50*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1\/4 (c) -0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856031.\nAnswer: 11, 59, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15267979 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -20*w. Let y = -15 - -10. Suppose 2*m = -k - 11, -6 = 6*k - 4*k. Which is the third biggest value? (a) m (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -549 (b) -1 (c) -14 (d) 6 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8409.735 millennia?\nAnswer: 840973.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i**3 - 2*i**2 - 2. Let w = 6103 - 6108. Let p(s) = 34*s**3 + 5*s**2 + 5. Give w*o(r) - 2*p(r).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - -180. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038796638 to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 1. Let c(t) = 19*t + 95. Give -c(a) - 4*v(a).\nAnswer: a - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-4)\/8)*-4. Let l(c) = -8*c**2 + 6*c - 6. Let p(w) = -9*w**2 + 7*w - 7. Determine j*p(x) + 7*l(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g**2 + 14*g - 14*g)*(407 - 327 + 407).\nAnswer: -4383*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**2 + 5*d - 4. Let m be -3*(28\/(-56))\/(2\/8). Let h(a) = a**2 + a - 1. Determine m*h(x) - k(x).\nAnswer: -3*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = h + 4, -m + 3 = -3*h - 5. Let d = 350 + -348. Suppose -5*u = -d*a + 23, 3*u + 12 = -u. Put 1, m, -4, a in descending order.\nAnswer: a, m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15308 is divided by 5099.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 919339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3. Let l(r) = -r + 1. Let m(s) = 3*l(s) - o(s). Let h(q) = 6*q**2. Calculate h(m(b)).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5365265 * 2.32.\nAnswer: -12447414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198508673?\nAnswer: 11, 179, 181, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(1539) - 4*sqrt(171)) - ((sqrt(133) + ((sqrt(133)*2 + sqrt(133) - sqrt(133))*4 - sqrt(133)))\/sqrt(7)*-3 + 4))**2 + -2.\nAnswer: -864*sqrt(19) + 221630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + 235. Is q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 37. Let x = 1 - -5. What is the greatest common divisor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 832*z + 31 + 9 - 47 in the form c*z + a and give c.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/1098935 or -1?\nAnswer: -14\/1098935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/50 + 2\/10. Which is the second smallest value? (a) -5 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -533?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j + 123. Let p(x) = -8*x - 123. Give -3*c(m) - 2*p(m).\nAnswer: m - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 19*s - 63. Calculate r(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 822 = 63. Suppose -4*c - 733 = -5*u, -4*u + 2*u = -c - p. Find the first derivative of -78*x + 13 + u*x - 79*x wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9991757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 627151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-200 + 0)*(-8)\/(-20). Let n = 722\/9 + h. Let v = 0.11 + -0.11. What is the nearest to 1 in v, -2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 25, m - 11 = 2*m + t. Suppose 3*u - 4 = -4*c, -2*u - c = -3*u + 6. Suppose 0 = 177*x - 1490*x + 3939. Sort m, x, u in decreasing order.\nAnswer: u, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4 - 16*i - 31. Let o(c) be the first derivative of x(c). Let j(f) = -f**2. Give o(j(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6, 5*t = -4*a + 3*a - 12. Put 2, -1029, a in ascending order.\nAnswer: -1029, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)\/3*2\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375920 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 + 732 - 2*u**3 - 64 - 330.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 237*r**2 + 1060*r - 2112. Calculate z(2).\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 207 = -137 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*k**3 - 59*k**3 + 32*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppmmsesmhseseps. Give prob of sequence hsmh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455276 divided by -455276.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**3 + 2*r**2 + 0 - 1\/20*r**5 + 3\/8*r**4 + 0*r. Factor m(l).\nAnswer: -3*l*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g - 2. Let f(o) = -13*o - 15. Let v(c) = 13*c + 17. Let j(a) = -6*f(a) - 5*v(a). Let z(h) = -2*j(h) - 5*s(h). Let l(d) = 7*d. Determine l(z(i)).\nAnswer: 63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 5. Suppose 0 = 3*l + 4*g + 11, -4*g - 23 = -3. Let n be v(l). Solve m = -5*d + n, 2*m - 1 = -5*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d - 3*x, 2*x = -d + 1 - 4. Let a(h) = 10*h**3 + h**2 - h + 1. Let g be a(1). What is the highest common divisor of d and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -2cf?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*g + 296*g = 5*z - 90, -g - 10 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-6)\/(-8) - (-4)\/(32\/234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*z - 4 = 0, 4*g - 48 = z - 4. Let u = -68 + 106. What is the remainder when u is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.31739 litres to millilitres.\nAnswer: 3317.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1 - 35) + 11 + -8. Calculate the common denominator of 43\/72 and f*(-4)\/144 + (-6)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 108.4 and -331513.\nAnswer: -331404.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 4\/2) + -15. Let b be 2828\/16 + 9\/o. Let j = 345 - b. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 3, 24, 4 in ascending order.\nAnswer: -1, 0.3, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 48 = v, 3*v + 4*o - 144 = -0*o. What is the greatest common factor of v and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g**2 - 11*g + 6. Determine v(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 892892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 5 + 5 + 2)*(26419*p - 5*p**2 - 26414*p + 3*p**2 + (0 + 2 - 6)*(2*p**2 - 3*p**2 + 3*p**2)).\nAnswer: 20*p**3 - 30*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 7 + 19 + 4*w + 7. Let t be k(-5). Solve -i - l - 8 = -5*i, 8 = 4*i - t*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(-2 + (sqrt(171) - (sqrt(171)*-3 - sqrt(171) - sqrt(171)))*-5)*1*6 + 1))**2.\nAnswer: 216000*sqrt(19) + 88648900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 150689?\nAnswer: 150688.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = -5*l, -49 = -4*n + 3*l. Suppose -4*w + 3*s - 5 = 1, -5*w - 3*s = -6. Suppose -z + 37 - n = w. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 18. Let u(o) = 4*o + 7. Is u(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 39*n - 40*n + 1971, -3*u = 5*n - 9891. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314568 at least as big as 3314571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = 7. Suppose o - 606 = -q*b, 2*o + b - 1202 = -0*o. What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgg when three letters picked without replacement from {o: 1, g: 7, v: 3, l: 5}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -i - 0*i. What is the second derivative of -23*o**2 + 4*o**5 + 2*o + i*o**2 wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 < -374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 525.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 4*f + 4. Let o(k) = -k**3 - 4*k**2 - 4*k + 4. Let q(x) = -5*g(x) + 4*o(x). Factor q(a).\nAnswer: -4*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 873 + -871. Solve f*s + 2 - 3 = -z, 0 = 5*s + 3*z - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**4)**(1\/48)*g**14*g*g**(1\/3) assuming g is positive.\nAnswer: g**(743\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48448270 - -4?\nAnswer: 48448274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 4, 0, 168, -196 in increasing order.\nAnswer: -196, -4, 0, 2, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19921800, -19921825, -19921864, -19921923, -19922008, -19922125, -19922280, -19922479?\nAnswer: -19922728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.897.\nAnswer: -0.2691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-13)*(-2)\/30*(-10)\/36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130421266?\nAnswer: 2, 2927, 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 5*m + 13*m - 2*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, 1 u, and 1 r when four letters picked without replacement from klduuudkur?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*i**4 + 1631*i**3 + 560183*i**2 wrt i.\nAnswer: -1632*i + 9786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:36 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.162 and 2.\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(((sqrt(1377) - (0 + sqrt(1377))) + 1 - sqrt(1377)) + 2 + 1 + -1*sqrt(1377)*-4))**2.\nAnswer: 5940*sqrt(17) + 310309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 234\/41, 2\/7, 0.8?\nAnswer: 234\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let w be (-1)\/((4\/3)\/(-4)). Suppose 2*m - 49 = -w*i - l*m, -m = -1. Solve -5*d + i = -2*d, -q = -2*d + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**3 - 24*m**2 + 69*m - 73. Suppose -21*i + 440 = i. Let c(r) = -16*r**3 + 72*r**2 - 206*r + 222. Let y(n) = i*g(n) + 6*c(n). Factor y(h).\nAnswer: 4*(h - 8)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004879655 to 6 decimal places.\nAnswer: -0.000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**6 - 4*a**2 + 10 + 3 + 8*a**2 - 3*a**2 - 9*a**3 wrt a?\nAnswer: 480*a**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*m - 20 + 6 = 0, -3*m = -y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3778*m. Let l(v) = -47*v - 15. Let q(y) = -50*y - 16. Let r(f) = 16*l(f) - 15*q(f). What is d(r(j))?\nAnswer: 7556*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 837.610421?\nAnswer: -837.510421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 + 344. Suppose -2 - 4 = -2*a. Suppose -y = -4*y - 4*o + 54, -a*y + 2*o = -72. Calculate the remainder when s is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -215, -228, -241, -254, -267?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32458268 is divided by 30621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 520 and 4355.\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 111*c - 6. Let y be p(-39). Put 4, 3, -3\/7, y in decreasing order.\nAnswer: y, 4, 3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 8. Let x be g(3). Let t(i) = i - 7. Let s be t(5). Let c = 5 + s. Solve -8 = -c*r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**3 + 1\/6*z**4 + 3 + 0*z + 1\/2*z**2 + 3\/10*z**5. Let a(j) be the second derivative of k(j). Factor a(q).\nAnswer: 2*q*(9*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203074?\nAnswer: 2, 3, 122393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.977 - -4.023. Which is the closest to -2? (a) m (b) -1\/2 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2, 14 in increasing order.\nAnswer: -2, 2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -160\/3*f**3 + 0 - 1\/12*f**5 - 4*f - 10\/3*f**4 + 6*f**2. Find b such that t(b) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.9 times 37948\nAnswer: 869009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -18338304.\nAnswer: 18338311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.48 and -1408.\nAnswer: 4899.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jjeje.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/152 and 143\/798.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1487.505 years?\nAnswer: 1.487505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s - 26*s - 350 = 0. Solve -z - 5*w = 15, -18 = s*z - 5*w - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-14) + (-90)\/(-35). Suppose 4*v + 14 + 12 = b*z, 0 = -5*v - 25. Suppose 0 = z*h + 3*h - 15. Solve -t + 10 = -h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3152 and 36?\nAnswer: 28368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 15 = -5*r. Suppose -5*l + 3*l = 0. Let p be 8 + (r - (-2 + l)). What is the highest common factor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24291 = -2*d - 0*d - 16951. Which is greater: d or 11014\/3?\nAnswer: 11014\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-74)\/(-259) + 43\/21)) + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2231945ml in litres?\nAnswer: 0.0002231945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*c, -2*a + 41 = 2*a - 3*c. Let g be (-9)\/3 - a*-1. Solve g*m + 3 + 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Let r(f) = 3*f. Let p be r(y). Let i = -16 - p. Round i to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -545877, -1091675, -1637473?\n\"Answer: -545798*r - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y + 240 - 336. Suppose -20*n + 28 + y = 0. Factor 2\/3*k**n + 20\/3 - 22\/3*k.\nAnswer: 2*(k - 10)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 4) - (8 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/5*(105\/(-14) - -5). Suppose 11*g - d*g - 486535 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -143. Let g = d - -42.000202. Round g to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:56 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + k = -35, -86*m = -88*m + k - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k + 17 = 0. Let r be (4\/(-6))\/((-11)\/(-330)). Let c = r + 68. What is the remainder when c is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 162. What is the tens digit of f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 1126.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-6))\/k**(-2))**(8\/3))**(-19\/2) assuming k is positive.\nAnswer: k**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkcrrkkwwkcucwcwrk. What is prob of picking 1 c, 1 r, and 1 w?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4248510*j. Let o(g) = 11*g**2. Calculate o(c(f)).\nAnswer: 198548209421100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*36\/(-9). Suppose -r + 3 = i*r. Suppose -3*a - 4*f - r = 4, 0 = -5*a + 4*f + 45. Solve 3 = -0*v - 3*v - 3*p, -a*p - 29 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 p when four letters picked without replacement from {p: 4, f: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 99*v\/2 + 144.\nAnswer: (v + 3)*(v + 96)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*r - 5472 + 2159 = -1355*r - 20629 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - 5.75. Let i = k - -0.75. Let s = 86.702 + i. Round s to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6 = -4*z. Solve 0 = -4*b + z*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91012, -91007, -91000, -90991, -90980?\nAnswer: -90967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 556 - 92597902019\nAnswer: -92597901463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*n + 6 = 2*l, 0 = -3*l - 2*n + 18. Suppose -o + 112 = l*o. Suppose -3*a = -0*s - s + 34, -o = -s - 3*a. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:14 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00114157257 rounded to 6 dps?\nAnswer: 0.001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2507968678 to the nearest integer?\nAnswer: 50080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.91 + -2.09. Let z be (-1)\/(-1) - (-10)\/(-7). Suppose -p = 5*k + 9, k + 2*k - 4*p - 13 = 0. Which is the nearest to k? (a) z (b) r (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 15. Let s be g(7). Calculate the remainder when s\/(-20) - 43\/(-5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8062*z**2 - 715*z + 4338. Let t be b(6). Round t to the nearest one thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-six ninths of a hour?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47.2 in -2\/23, 1\/10, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92987, 372183, 837511, 1488971?\nAnswer: 2326563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5)**(-12\/17)*v\/v**7*v**(2\/19) assuming v is positive.\nAnswer: v**(-3044\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -0.3, 2\/7, -3, -1\/3, -363.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggkgsgskgkks. Give prob of picking 1 k and 1 s.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 37. Let t = y + 40. Calculate the smallest common multiple of t and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 144*j**3 - 147*j**3 + 0*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.94349 + 0.05651. Let s = 3 + -2. Which is the nearest to 1\/2? (a) m (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*245\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*h = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5428970 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8201163, -16402329, -24603499, -32804673?\nAnswer: -41005851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -129, -378, -845, -1602, -2721, -4274, -6333?\nAnswer: -8970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 298 - 5*a - 298 + a**5 + a**5 - 2*a**5 - a**5 + (-4*a**4 + 3*a**4 + 0*a**4)*(1 + 2*a - 1).\nAnswer: -3*a**5 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72524581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuukdkukkuhkuy. What is prob of picking 1 y and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 2*k**3 - 4*k**2 - 11*k. What is the tens digit of n(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2686 - 0.0176. Let f = -0.251 + u. Which is the fourth biggest value? (a) -9 (b) 0.01 (c) 3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07205557684 rounded to five dps?\nAnswer: -0.07206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 2. Let i = 2328 - 2304. Calculate the least common multiple of a and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 7*c**4\/6 - 6*c**2 - 11*c - 90. Let i(y) = 11*y. Determine j(i(h)).\nAnswer: 1694*h**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from xxlgxdxllsml?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225*b**5 + 1547*b**4 - 3*b**2 + 32889068*b?\nAnswer: -4500*b**3 + 18564*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 9533665*u. Let p(l) = -2*l. Give p(w(f)).\nAnswer: 10*f**2 - 19067330*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let r(f) be the third derivative of -f**4\/12 + 74*f**3\/3 - f**2 - 348*f. Calculate r(y(w)).\nAnswer: 4*w + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(-3*j + 6*j - j)*(-4*j + j + 7*j) to l*j + q*j**2 + p and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 131, 159, 187, 215?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33571775 + -13303181\nAnswer: 20268594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*y - 945, 1935 = 3*w + w + y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-6 - 4)) + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 17*i**2 + 56*i + 16. What is the least common multiple of 45 and v(-5)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -57\/1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*(18\/(-3) + -3 - (14 + (-6507)\/270))\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1827926 is divided by 1635?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + 93. Let n = -69 + s. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 2*v**4\/3 - 139*v**3\/6 - 100*v**2 - 2*v. Does 3 divide s(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 + 39 = 0. What is the units digit of 350\/q - 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20851 is divided by 908?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -212736.\nAnswer: 1\/212736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -1976 - 404. Let t = s + -337. Is t 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 4697346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 2:41 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.82374l?\nAnswer: 44823.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1024170)\/21637)\/(4\/(-3)). Let c = 3304 - 10212666\/3091. Let y = c + d. What is the common denominator of 13\/6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 66, -2\/7, -11 in increasing order.\nAnswer: -11, -0.4, -2\/7, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/12 - x**3\/3 + 7*x**2\/2 - 4*x. Let f(h) = 3*h - 35. Let j be f(10). Calculate q(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54935 + -18?\nAnswer: 5491a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1006 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/((-8)\/(-6)))\/1. Find the second derivative of p**2 - y*p**5 - 6*p**2 + 5*p**2 - 3*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -544, -2173, -4898, -8719?\n\"Answer: -548*v**2 + 15*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose 5*c + 75 = -5*p, 30 = -c + l*p + 2*p. Calculate the least common multiple of 1\/(-3*3\/c) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/480 + 13*x**5\/240 + 25*x**4\/96 - 325*x**3\/24 + 4*x**2 - 198*x. Determine i so that o(i) = 0.\nAnswer: -5, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203 * 399.\nAnswer: 80997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 921959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -h, 4*l - 32 = -0*l - 4*h. Suppose 46 = 3*r - l*k, 2*r - 4*k - 32 = -2*k. What is the smallest common multiple of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2))**(-13)*m**22\/m*m*m**(-1)\/m)**39 assuming m is positive.\nAnswer: m**1287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (9 - (6 - -3) - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 7*h**2 - 3*h**2 + 13*h**2 to the form q*h**2 + z + x*h and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*w = -9459*w + 400408 + 17403 + 210971 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019240094738 rounded to 7 dps?\nAnswer: -0.0001924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188429.\nAnswer: 3188429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 786508 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24256 divided by 2.\nAnswer: -12128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6784893316?\nAnswer: 2, 907, 1870147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1*(2 + -3). Let x(d) = -4*d**2 + 27*d - 12*d**2 + 17*d**b - 39*d + 6. Suppose w = 13 - 2. What is x(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-3 + 2)*1. Let g = -0.05 + -4.95. Let s = g - -4.7. What is the closest to 1\/3 in -1\/3, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 18703 + 37421 - 18718 + 1741*f. Let m(w) = 2*w. What is m(d(g))?\nAnswer: 2*g**2 + 3482*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502110 divided by 90.\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*i + 3*u, -5*i - 2*u = -u - 4. Let s be i\/(-4) + -1 - 0. Let k be s\/((-2)\/10) - 3. Solve k = -5*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17498 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: Evaluate ((42\/(-27))\/((-300)\/(-675)))\/((-14)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let s(r) = -7*r - 6. Calculate -34*d(o) - 6*s(o).\nAnswer: 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -0.3, -4, 19 in increasing order.\nAnswer: -4, -0.3, 19, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13866, 13867, 13868?\nAnswer: 13869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-1 + 2 + 0)*(61*b - 61*b + 10*b**2)*(-b + 0 + 0) in the form u*b**3 + a + n*b**2 + r*b and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8756 times -0.3\nAnswer: -2626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5 + 5*y**4 - 5*y**3 - 5*y**2 + 6*y = 0?\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 5*l + 2. Let t be b(-5). Suppose -4*x + 4*z + 24 = 0, z - 9 = -4*x - 0*x. Find the second derivative of -t*w**2 - x*w**2 + 6*w**2 - w wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 + 93. Suppose 0 = n - g*n + y + 5, -n + 30 = 5*y. Solve 4*i - 4*k = 40, n*k = -4*i + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 129, 1\/4, 3\/2, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147813 - 11*h**3 + 296094 - 2*h**3 - 148281.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 260.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1166*-3.\nAnswer: -3498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14927245877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 986. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 0, 2 in decreasing order.\nAnswer: 9, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8236709 a multiple of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/11 (b) -3 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1277 (base 10) to base 13\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*j*v*w**3 + 2*j*v*w - 1907115*j*w**2 - 2065*v*w**3 + 3*v*w wrt w?\nAnswer: 2442*j*v - 12390*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 + -0.08861.\nAnswer: 170.91139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 14 - (-29 + 12 + 42)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 3*w**2 - 3*w**2)*((-5 + 5 + 1)*(5 - 1 - 1) + 7 - 3 + 2).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -24 - 7522*c + 3777*c + 3744*c. Give t(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59858*n**2\/11 - 1677408*n\/11 + 11751552\/11 = 0 for n.\nAnswer: 2424\/173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + -16 + (9 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2084*o - 1055*o - 94*o - 520*o.\nAnswer: -3753*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 77. Let u = 145 + -181. Let f = u + v. What is the closest to 1 in f, -0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 - 250. Let g(m) = -4*m + 1. Give g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = 5*c, -4*o = o + 2*c - 21. Suppose -o*u = -14 - 4. Let g be (-3)\/(-1) - (-2 - -1). Solve 2 = -g*v + u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 6, -24, -58?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 10*d**2 - 4*d**2 + 0*d + 0*d + d**2 + (-2*d**2 + 2*d**2 + 2*d**2)*(-3 + 5 + 0) + 2*d**2 - 2*d + 2*d)*(4 + d - 4).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2)**2 + (sqrt(300) + sqrt(12))\/sqrt(6).\nAnswer: 6*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -10*j - 469. Suppose -2*s + j*l + 1970 = 66*l, -967 = -s - 4*l. List the prime factors of s.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 580*h. Let r(y) = y - 4. Let b(c) = c - 6. Let k(u) = -4*b(u) + 6*r(u). Give k(q(w)).\nAnswer: 1160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4550 and 10675?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10756503*o**3 - 72651045*o**2 wrt o?\nAnswer: 64539018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 38 = 7 - 12 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205883 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**4 + 2*r + 21352*r**2 + 3*r**3 - 21352*r**2 + 2 in the form p + n*r**3 + l*r**4 + x*r + i*r**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20 and 69\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 + -4 - (2 + 5 - -14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 759 - 759 + 42*q**3 + (-4 - 13*q**2 + 2 - 2*q + 12*q**2)*(-1 + 1 - 2*q).\nAnswer: 44*q**3 + 4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-6))\/(-5)*-3. Let d = -7 + 12. Suppose 0 = 2*x - z, 0 = -2*y + d*x + 7 + 10. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/4? (a) -3.4 (b) 0 (c) -0.2 (d) -8 (e) 7 (f) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273999714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*j**3*p**2 + 67793*j**2*p**2 + 3273*j*p**2 - 3*j*p + p**2 + 16*p - 8 wrt j.\nAnswer: 264*j*p**2 + 135586*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 60. Suppose 0 = -187*o + 181*o - 252. Let g = o + l. What is the greatest common divisor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*p + 3*v - 36, 10 = p + 2*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -26638237.\nAnswer: 14\/26638237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 161*z**2 - 12*z - 11. Let k be r(-1). What is the highest common divisor of k and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 14) to base 2\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2\/19, 10, -453?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:28 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*a - 102*a = -884 - 691 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5425 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1008)*3 + 4 + 0)**2 + (sqrt(1008) - (-1 + sqrt(1008) + -4)) + 1 + sqrt(1008)*2 + -1 + 1.\nAnswer: 312*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + z - 6. Let c(k) = -3*k**3 - k**2. Let m be c(1). Let r = z - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/10)\/(2\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192.86 - 202.86. Which is the third smallest value? (a) p (b) 1 (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(192)*2 - sqrt(12)).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -38 (c) -2 (d) 351\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.091+18\nAnswer: 18.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15375153 is divided by 7687568?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 12*z**2 - 7*z + 24. What is l(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -0.1, 0.1, 1, -1704?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44263)\/10 + 1 - 3. Let z(g) = 35*g**3 - g**2 + 5*g - 9. Let f be z(-5). Let k = s - f. What is the common denominator of k and -49\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1700) - (-2*sqrt(1700) + sqrt(1700))))**2*2 - (-3 + 2*sqrt(1700)*4).\nAnswer: 80*sqrt(17) + 13611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w + 110*w - 16*y - 138 = -37, 12 = 2*w - 4*y - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6196 + 6194. Let c(l) = 3*l + 6. Give c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 19*t - 43*t + 20*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(658\/112) + (-22)\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44643 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and -81\/328.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u**2 + 121*u + u**3 - 121*u + 2*u**4 in the form a + r*u**3 + g*u**2 + j*u**4 + q*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Is 9 a factor of 108\/6*(f - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/3 at least as big as 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, g: 10, a: 4}. What is prob of picking 1 g and 1 q?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481\/395 + -33\/79. What is the closest to -4 in 5\/4, -9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let d = 479 - 469. Suppose 0 = -2*k - d, 5*t - 5*k - 275 = -g*k. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 3 + 558*p + 557*p - 30*p**2 - 1113*p in the form j + o*p**3 + r*p + q*p**4 + z*p**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 46, 0, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -149027.\nAnswer: -149032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 23 + 36)*(-2*i - 4*i + 5*i).\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316889 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 610+201464027\nAnswer: 201464637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -538146 + 791479. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqrqctereebtct. What is prob of sequence ttbc?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 915\/(-6)*((-18)\/5 - -2). Calculate the remainder when g\/((-8)\/(-4)) - 5 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 9*r - 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -46 - (-3 - (-3 - -2)). Suppose -27 = -0*r - 3*r. Calculate the lowest common multiple of r and g\/(-12) + 4\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 13*p**4\/8 - 4*p**3 - 20*p**2. What is the first derivative of h(i) wrt i?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/30531 and -28\/12777.\nAnswer: 130031529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/12*(-1599)\/(-5330)*(-60)\/2?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -8607830.\nAnswer: -4303915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 5 - 2589*q**2 - 70*q.\nAnswer: -2589*q**2 - 70*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.014. Let n = 0.01 + o. Round n to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2227743*n**2 + 241880*n**2 + 3 - 3.\nAnswer: 2469623*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20143154.0000096 + 20143075. Let a = -1291 - -1370. Let d = a + z. Round d to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -0.3, -13\/11, -4\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 4*m + 0*m + (-1 + 1 + 2*m)*(5 - 3 - 1) - 14 + 4*m + 14 in the form g + h*m and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7800003650?\nAnswer: 2, 5, 156000073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 505082773 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 40764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -4*p + 159. Suppose 7*j - 36 = 4*j. What is the highest common factor of j and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 133*s + 9. Let x(z) = -66*z - 4. Let h(w) = -2*a(w) - 5*x(w). Let i be h(2). Let g = -71 + i. Calculate the remainder when g is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = 4*r, 11 - 26 = -3*r - 5*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.167683 tonnes?\nAnswer: 5167.683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 926 - 1194. Let q be (d\/(-10))\/((-66)\/10 - -7). Is 67 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127000 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/(((-676)\/(-5070))\/(1*-3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -223\/14280 and 169\/2313360.\nAnswer: 2313360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1101?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.028 - 34.028. Let i = 34 + u. Which is greater: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c**5 - 5*c**4 + 4*c**2 - 6 wrt c.\nAnswer: 2340*c**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a50 (base 14) in base 6?\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28372499 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 2523.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from gjqjqcscjascjjcac.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1896, 3782, 5668, 7554, 9440, 11326?\nAnswer: 13212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 50482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**5 + 17*u**4 + 26*u**3 + 17*u**2 + 3*u. Let c(o) = -23*o**4 - 17*o**4 + 41*o**4 + o**2. Let h(m) = -c(m) + r(m). Find n, given that h(n) = 0.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552 divided by 831.\nAnswer: 184\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16*x - 73. Let b be f(5). Let w(l) be the first derivative of -l**2\/2 + 4*l - 2. Calculate w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*r**2 - 173*r**2 - 3482*r**3 + 4160*r**3 - 33*r wrt r.\nAnswer: 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/6 + -2)*-111. Suppose -5*s - 3*a + 0*a + n = 0, -s - 15 = -5*a. Calculate the greatest common divisor of 10 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011100101110010011110 + 1001?\nAnswer: 110011100101110010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 6*w**2 + 8*w - 14. What is the remainder when 145 is divided by d(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -3\/4 (c) -0.5 (d) 2 (e) -44890\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-14)*-34 + (-12)\/(-84). Suppose 5*f - 21*j = -25*j - v, -16 = 3*f + 5*j. Factor 2\/5*a + 1\/5*a**4 - a**2 + 0 - 1\/5*a**5 + 3\/5*a**f.\nAnswer: -a*(a - 1)**3*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 17) + (-61)\/(-14). Let f = m + -4\/21. Which is the biggest value? (a) -3 (b) f (c) 2\/9 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041202424 (base 5) in base 7?\nAnswer: -25306105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -445, -439, -431, -421, -409?\n\"Answer: s**2 + 3*s - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -19*a + 4*a + 12*a + 4*a + 3. Calculate the remainder when 47 is divided by d(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 6, -39, -142, -321, -594, -979, -1494?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**2*y**3 + 69*w**2*y + w**2 + 11*w*y**2 + 5*w + 149*y**3 wrt y.\nAnswer: 12*w**2*y + 22*w + 894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 0 + (-330990)\/(-9086)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x = 53 + 57 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2643 is divided by 241.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15984711 by 1776079.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -2*t, t + 4*t = -3*y + 31. Suppose -u + 5*r + 9 = 0, 0*u - 5 = -y*u - 3*r. Suppose -u*x = -31 - 1. Solve 0 = 3*h - h + x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**12\/(r**17\/r) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031324 and -0.655?\nAnswer: -0.02051722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 - n - 1. Suppose -4*v - 3 = 1. Let t be y(v). What is the second derivative of 0*q**3 + 0*q**3 + q**t - 2*q wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 36*g**4 + 5*g**3\/3 - 16*g**2. Let c be z(-5). Round c to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -2 - (35 - 21 - (-1 + 63)) - -10\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 29*o + 233. Give c(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6 - 4. Let v(b) = b - k*b + 2*b. Let y(z) be the first derivative of -z**3\/3 + 2. Calculate y(v(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15512*i - 7551*i + 1614410 = 0 for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 + (20300\/(-30) - -4). What are the prime factors of ((-36)\/(-7))\/((-48)\/w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -1425, -2113, -2783, -3429, -4045, -4625, -5163?\nAnswer: -5653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -549, -823, -1097, -1371, -1645?\nAnswer: -1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8\/f**(-11))\/((f\/f**(1\/4))\/((f*f\/(f**(-9)\/f)*f)\/f)) assuming f is positive.\nAnswer: f**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*i + 3*s, 3*i - 5*s = -29 - 148. Let r = i - -56. Find the second derivative of -12*z**5 - r*z - z - 6*z + 23*z wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13.8 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33560 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:56 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-3)\/(1 - -5). Suppose -2*d - 16 + z = 0. Let x be (-2)\/d + (-3)\/12. Solve -3*c = -f - 0 - 2, 4*f + 5*c + 8 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119002, 118948, 118894?\nAnswer: 118840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.04, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 45258*n**2 - 65169*n wrt n?\nAnswer: -12*n**2 - 90516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534644 is divided by 127.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.58 times -0.0191?\nAnswer: 0.049278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -40. Solve 5 = 2*j + j + 2*n, j + n = q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 5*z**3 + z**3)*(1 - 1 - 3*z) + (z**2 + 3*z**2 - 5*z**2)*(-2*z**2 + 1 - 1).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1*336.08.\nAnswer: -2722.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398439 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/113833 and -23\/13467.\nAnswer: 22880433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -43*f**6\/30 + f**5\/2 - 4751*f**4\/12 - f**2 + 1310*f. What is the third derivative of t(m) wrt m?\nAnswer: -1032*m + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.12 (c) -3 (d) -0.5 (e) 14 (f) 1 (g) 163\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 x when three letters picked without replacement from jxjxjxxxxj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, -4, 7736, 4, -1 in increasing order.\nAnswer: -4, -3, -1, 1, 2, 4, 7736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17862*d**2 - 35764*d**2 + 17863*d**2 + 65*d as t*d + i*d**2 + r and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 - 6*g**2 - 2*g**3 + 5*g**3 - 2 + 0 in the form s + z*g**2 + u*g**3 + c*g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 8*r + 94 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1 - 16\/(-4)). Let m be 20\/k*(-324)\/90. Let d be 24\/14*3\/m. Put -3\/2, 14, d in decreasing order.\nAnswer: 14, d, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22186 + -21793. What is the highest common factor of p and 1441?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 147\/13? (a) -0.4 (b) -9 (c) -1\/6 (d) -17 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 + 6 = 3*y, 5*x + 48 = -3*y. Let o be 1 + (-2)\/3*3. Let u be 1\/(-2)*(x + o). Solve u + 5 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 g, and 1 a when three letters picked without replacement from {g: 3, o: 2, a: 1, n: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690*t**2 + 1880*t**2 - 3766*t**2.\nAnswer: -196*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 3*c**2. Calculate f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 342119248 and 12?\nAnswer: 342119236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*k + 161*k = -129*k - 324 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16763, -16761, -16757, -16751?\n\"Answer: u**2 - u - 16763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -870.14 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30.201 and -0.0133389264.\nAnswer: -30.2143389264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 9}. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -32.\nAnswer: -37\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-182292)\/(-29001)*28\/10\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2 - sqrt(200))\/sqrt(4) + (sqrt(6050)*-2 - sqrt(6050))**2)*5.\nAnswer: -75*sqrt(2) + 272250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029552 to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33836, -33892, -33982, -34106, -34264, -34456?\nAnswer: -34682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805264 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: Calculate -1.1*-1055559.\nAnswer: 1161114.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 610, 3, 2\/3, -2\/53 in descending order.\nAnswer: 610, 3, 2\/3, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 41 = -15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -622, -1244, -1866?\n\"Answer: -622*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*p = -3, 5*c + 3*p = 20 + 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6*(-135)\/(-36)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17472 + 873547\/50. Find the common denominator of (-41296)\/1920 + 10 - -12 and p.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + 4*u**3 - 107*u + 99*u - 4*u**4 in the form l*u**3 + y + r*u**2 + s*u**4 + v*u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -404? (a) 1 (b) -3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 11:00 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*k = 5, -q - 5*k + 149 - 123 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6134 - -6166. What is the nearest to 2 in h, 6\/5, 0.08, 4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 921 - 7349\/8. Calculate the common denominator of x and 167\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*j + 2*q - 21, -20 = j + 7*q for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -342)\/(6\/4). Suppose -k + s = r + 2*r, -2*k + 144 = 2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 v when three letters picked without replacement from xdzxgvgs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49876, 49880, 49896, 49930, 49988?\nAnswer: 50076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.7954 to the nearest integer.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3541779.\nAnswer: 3, 47, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.96527594 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800586 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 64 = 4*b, -5*s + 31 = b - s. Let y = 20 - b. Solve -4 + 14 = y*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0405 + -92.3705. What is u rounded to zero decimal places?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1016*u - 3. Let x be h(1). Let c = 1516 + x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Suppose 0 = z + b*z - 12. Suppose 0*d = -2*d + 4*h + 24, 125 = 5*d + z*h. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9 (base 14) in base 13?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 - 11*h + 4. Let g(o) = o**2 + 2*o - 1. Give b(d) + 6*g(d).\nAnswer: 14*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 3*u - 21. List the prime factors of y(-18).\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*z + 4 = 3*z, -5*m + 10 = 5*z. Let h be -2 + (2 - (m - 16)). Let o be (-125)\/(-35) + 6\/14. Solve -o*t = -3 + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*b - 16 + 74 - 25 - 29 to the form y + m*b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, k: 1, i: 5}. What is prob of picking 3 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 0.3 (d) -0.39927\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 305?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/(6821\/20463). Factor -32\/3*y**q + 2\/3*y**4 + 188\/3*y**2 + 150 - 160*y.\nAnswer: 2*(y - 5)**2*(y - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714079 is divided by 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 141*s - 19881\/2.\nAnswer: -(s + 141)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*p)*(3*p - 3*p - 6*p)*(-1024 + 1024 + 167*p + 281*p).\nAnswer: -5376*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2)**(-50)*((q**(3\/7)*q)\/q)\/(q*q**0) assuming q is positive.\nAnswer: q**(-1054\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Suppose 2*a - 20 = -p*a. Suppose -a*c - 42 = -2*y, 0 + 4 = -2*c. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-550)\/(-45) - 2\/9. Let z be (-4)\/(16\/a) + 4. Suppose z = -s + 3. Solve s*m + 4*n = -2, 2*m - 2 = -3*n + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 352879.51 to the nearest 1000.\nAnswer: 353000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rntdrnn. Give prob of picking 1 d, 1 t, and 2 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25318400 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 605. Suppose -y - 2*y + 6 = 0, 0 = -a + 3*y - 4. Let s(h) = v*h**a - 1 + 0*h - 118*h**2 + 2*h. Calculate s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (15\/10 - 1) + 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f + 2. Let u be q(3). Let s(a) = -5*a**2 + 3*a + 6. Let t(x) = 6*x**2 - 3*x - 7. Let h(r) = u*s(r) - 6*t(r). Factor h(c).\nAnswer: -c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d + 170*d + 3 - 3 + 428*d in the form p + r*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-1) + 2925\/(-675))*(-3)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 - g. Let k(a) = -6*a**3 + 2*a**2 - 6*a. Let i = -27423 - -27424. Determine i*k(n) - 5*v(n).\nAnswer: -n**3 + 7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 14. Let q = -18 + 13. Let z(a) = a**3 + 5*a**2 - 5. Let t be z(q). List the prime factors of v(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + 0.46. What is the closest to z in -5\/6, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -1, -2\/13, 3, -66\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 148\/(-52) - 10546578\/(-234)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 13*o**4 + 3*o + 0 + 13607*o**2 - 13605*o**2 - 11 + 4*o**3 to the form x*o**3 + c*o**2 + z*o + s*o**4 + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242305 is divided by 241580?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -130.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h - 116 = -804 - 896 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -1\/3 (c) 0.226 (d) -3\/7 (e) -0.5 (f) 5 (g) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/12)\/(30\/(-6453)). Suppose -3*n - 439 = -2*k, -5*k - 410 = 5*n + 280. Let d = t - n. Which is the closest to 0.1? (a) 5 (b) 1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + b + 2, 0 = -3*x + 17*b - 12*b + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y**5 - 1)*(5 - 6 + 20)*(-3 - 1 + 5 + (4 + 1 - 1)*(0 - 2 + 0) + 1 - 4 + 4 + 2 + 1 - 5).\nAnswer: -152*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30\/139, 5, -0.5 in decreasing order.\nAnswer: 5, 30\/139, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-300)*(-18630)\/184?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 118 = -18*c. What is the closest to -3 in 1\/2, -2\/15, 2, c?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -114 - -114 - (-1 - (-1 - -4)). Suppose 3*g - 3747 = u*p, g - p - 6245 = -4*g. List the prime factors of g.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 949*q**2 + 53 - 82*q**2 + 400*q**2 as k*q + g + u*q**2 and give u.\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2234*0.11\nAnswer: 245.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 10*s + 11*s + 0*s - 25*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61476981.\nAnswer: 3, 17, 109, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3687*y**3 - 3689*y**3 - 94 + 37 + (0*y + 2*y - 3*y)*(3*y**2 - 4*y**2 + 0*y**2).\nAnswer: -y**3 - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24548861.475 rounded to the nearest one thousand?\nAnswer: 24549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1468*v**2 - 1439*v - 4. Let q(x) = 1458*x**2 + 1437*x + 5. Let m(z) = 5*f(z) + 4*q(z). What is the second derivative of m(w) wrt w?\nAnswer: -3016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0574560773 rounded to 4 decimal places?\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**3 + 534590*y**2 + 4*y - 28186306?\nAnswer: -3*y**2 + 1069180*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/5)*z)\/z**(2\/19))\/(z**(-3\/7)*z*z**(2\/25)*z))**(13\/3) assuming z is positive.\nAnswer: z**(624\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2074 and 18347702.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2, -4, -1\/4, 1457?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20))\/((119\/28)\/17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428559 is divided by 280?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 21207 = -18*z + 25457. Let b = -13 + 19. What is the remainder when z is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21815749?\nAnswer: 43, 181, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167500947 divided by -3.\nAnswer: -55833649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 5*s - 10, -4*p + 4*s - 20 = 0. Suppose p = -l - 10 + 276. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3507 and -7.9?\nAnswer: -27705.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 1617?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(134\/(-536) - (-43)\/164) - 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 3*w**2 + 0*w**2 - 2*w**2 + 3*w**2 + 3*w**2 + (6*w - 7*w - 5*w)*(3*w - 8*w - 2*w) to l*w**2 + b + i*w and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2 + -1)*6. Suppose 0 = v*g + 2*g + 300. Let f be g\/(-14)*29*7. Round f to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/(-85))\/(2\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292.84 + 6.16. Let b = z + -292. Is -4\/5 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -40915856783787.\nAnswer: -40915856783786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 2. Let o be u(2). Suppose -b = 4*n - 42, -n + 2*n - 2*b - o = 0. Suppose -1 - 7 = -2*f. Solve -f*d - n = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w + 57 = -3*o, -4*w - 32 = 2*o. Let d = -18305 - -347797\/19. What is the fourth biggest value in d, 0, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27184\/1171 at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 2046637*y - 2046638 = 0. Calculate y.\nAnswer: -1, 2046638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 216, 907, 2058, 3669?\n\"Answer: 230*y**2 + y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*l)*((-2 + 2 + 1)*(-2*l - 4*l + 5*l) + 2*l - 5*l + l + l + 0*l + l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 2)*(0 - -1). Suppose -y = k - 20. Suppose -k = -j + 2*l, -1 = -2*l - 5. Solve -4*z = 3 + j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 6*z**2. Let g be k(6). Solve -2*r + 3 - 7 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 15) to base 16.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*u**6 + 565*u**2.\nAnswer: -14280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4020\/(-316910)*2\/8*22.\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 0.02, 0.3, -3, 2, 3981?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-5)*(-5 - 0)*1. Let h = d + 2. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2286 and 264.\nAnswer: 100584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 867 and 819077?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-369558)\/(-30800) - 12). Calculate the highest common factor of t and 1200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 111.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1235, 2471, 3707, 4943, 6179?\n\"Answer: 1236*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) - ((sqrt(484) + 4*sqrt(484)*2 - sqrt(484)) + sqrt(484)))\/(-6*(sqrt(99) - sqrt(11))) + -2.\nAnswer: -2 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 1)*(1 - 12 + 1) - 32 - 1 + 1)*(-7 + 5 - 17)*(1 - 4 + 1)*(-2*r + r - r) in the form s*r + d and give s.\nAnswer: 3192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 259663649 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0037 + 11080761.74908.\nAnswer: 11080761.74538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k - 8. Let j be i(9). Let n(q) = q**4 - q**3 + q. Let g(z) = -3*z**4 + z**3 - z + 1. Let m(y) = j*n(y) + g(y). Differentiate m(a) wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2674\/5 and 12893 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2710 by -5.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -358 + 360. Let v be (-16)\/3*(-6)\/4. Let k(p) = 8*p + 2 - 5*p**2 - 2*p**2 + v*p**f. Give k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 2*f + 6*f + 3*f + 0*f - 4*f + (-9 + 11 - 8)*(-2*f + 1 - 1).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 110*f - 2414. Let g be z(22). Solve 17*n + g*n = -69 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + c + 60 = 0, 5*k - 5*c - 180 = 2*k. Let h = 80 - k. Solve -5*n = i - n + h, -2*n - 20 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {m: 1, g: 1, t: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 111625 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 3)\/((-1)\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -21. Let a(l) be the first derivative of 4*l**3\/3 - l**2 + l + 3. Let h be a(1). Are i and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118251*y**3 + 29075*y**2 wrt y.\nAnswer: 709506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*o + 8, -o = -4*y + 1 - 15 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 4, t: 3}. Give prob of picking 2 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z + 1741. What is i(-142)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and -103.69084.\nAnswer: -102.39084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 262\/59, 0.5.\nAnswer: -2\/7, 0.5, 262\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -4 + -3 - 2) + -20 - 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.486664 kilograms to nanograms.\nAnswer: 4486664000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gysc when four letters picked without replacement from jsysjscgjjj?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*46\/((-184)\/420).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3) + (-15)\/(-36). Let q be 0 + -2 - -6 - (-23)\/(-6). Is q smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 106040.\nAnswer: -1\/13255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.313282 years?\nAnswer: 0.005313282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Let a(x) = -x**3 + 3*x**2 + 6*x - 3. Let z be a(f). Sort -2, 2, z in descending order.\nAnswer: z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Suppose -5*f + 45 = p*y, -2*f + y = -y. Suppose -3*g + 4*k + 4 = 0, 2*g + k - 5*k = 0. Solve 3*q = -f - g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + (3 - 2 - 4). Suppose 5 = 3*t - 2*x - z, 4*t + 2*x - 10 = 0. Let d be 40\/(25\/5) + 4. Solve 3*q - d = 0, 2*m - 5*q + 5 = -t*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380877962 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*f + 4 = 0, -4*f = 2*g - 11 + 39. Suppose 0*n + 3*n + 12 = 0, 28 = -3*u - n. Is g less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4213, -8429, -12645, -16861, -21077, -25293?\n\"Answer: -4216*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 7*n**6\/30 + 7*n**2\/2 + n. Find the first derivative of p(v) wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + x**2 - x**2 + x**2 + 2*x**2 + (-5*x + 5*x - 2*x)*(-2*x - 3 + 3) + 0*x**2 + 5*x**2 - 3*x**2 - 2*x**2 + 0 + 0.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o - 35 = 89. Solve 5*x + o*t - 4*t - 23 = 0, -2*x = t - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36*((-2)\/(-8))\/((-5)\/20). Let f be ((-10)\/8)\/(2 + a\/16). Solve -3*z + y = -4*y - 28, 21 = -4*z - f*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28509 or 28549?\nAnswer: 28549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -9. Suppose 2*x + 2*c - 19 = -o, -31 = -4*x - 3*c. Suppose 9*l + i - 125 = 4*l, 0 = x*l + 4*i - 84. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117015 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 12. Suppose -4*a - 6 = y*b - 26, -12 = -3*b. Solve 0 = -3*n - 2*j + 5, -a*n = 2*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*q - 578*q**4 + 40*q**3 - 35*q - 42*q**3 as w*q**4 + z*q + b*q**3 + i*q**2 + a and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*z - 38 = -60, 5*z - 25 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - 1 - (16 - (-3 - -23)) - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 9*k - 12 = 5*k - 2*p, 8*k = 20*p - 156 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {w: 1, f: 3, z: 4, h: 1, j: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 8*o - d = 0, -o + 4*d = -18. What is the common denominator of -37\/14 and (16\/2976)\/(o\/49)?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 14. Suppose 20 = -2*g + b*g. Suppose 69 = g*h - 206. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - w - 2 + (-4 + 0 + 3)*(-4 + 5 + 2)*(0*w + 0*w - 2*w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 16) to base 14.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -20 + 100262 + 20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 30*s**2 + 31*s - 15. Determine y(-29).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b8205 + 5?\nAnswer: -b8200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270596 (base 11) in base 16?\nAnswer: 67d53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10044 + -340014?\nAnswer: -324420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -4\/3, -3\/10, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*y + 2*y. Let h = -6 - y. Suppose 0 = -i + 4 + h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*b - 51 = -147*b. Suppose -b*g + 3*a = -12*g - 4, -10 = -3*g - 2*a. Let -21\/5*c**3 - 27\/5*c**g - 3\/5 - 3*c - 6\/5*c**4 = 0. Calculate c.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782646 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(81)\/sqrt(3) + (sqrt(3) - -2*(sqrt(12)\/sqrt(4))**2) + sqrt(3).\nAnswer: 6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((0 - -3) + -2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -24*q - 28. Let t be (-2*1)\/(q + (-86)\/(-44)). Calculate the greatest common divisor of t and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2685371142 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from fzzffffzzzff.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(2 - (-54)\/(-28)). Suppose -33*t = -u*t + 426. What are the prime factors of t?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/2)\/(((z*z**4)\/z)\/z)*(z\/(z*z\/(z**(-2\/7)*z)))\/(z\/z**(2\/15))*(z**1\/z)**(1\/54)*(z*z**(-1\/2))**(-1\/36) assuming z is positive.\nAnswer: z**(-6719\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 52*k - 18*k - 11*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 11*d - 2 = 0. Sort 2, d, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068.738 plus -0.177?\nAnswer: 2068.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -60508*-5.33\nAnswer: 322507.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jagnggs. Give prob of sequence ga.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2121 and 27.\nAnswer: 19089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 488*l + 116. Is 14 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*z**2 + 7*z - 25*z - 399*z**2 + 13*z + 3*z to the form q + x*z + p*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126713, 126718, 126727, 126740, 126757, 126778, 126803?\nAnswer: 126832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 9*c + 10. Let k be n(-8). Factor -2*l - l**2 - l + 3*l**2 + 2 - l**k.\nAnswer: (l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 12 = 0, 14 = -5*n - 2*a - a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n = 50. Let l = 74 - n. Suppose -5*q + 61 = -l. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -115. Let u be -12*(3 + 1\/(1\/v)). Let m be (4\/u - 0) + 33\/9. Solve -2*j = 2*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20737*f - 20494*f - 5589 = 0 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465331?\nAnswer: 7, 209333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-138)*2\/1. Let q = d - -66\/115. Factor 2\/5*u - q*u**2 + 0.\nAnswer: -2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:54 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 128*t + 252. Let q be g(-2). Sort 2, q, -5 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 + 1158*i**3 - 91257*i**2 - 92412*i = 0 for i.\nAnswer: -453, -1, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 305.\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.1, -2\/9, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460837076 to the power of 1\/2, to the nearest integer?\nAnswer: 38221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.123, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*u - 138*u + 34*u - 108*u - 70*u - 26*u.\nAnswer: -257*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 2*w**2 - 6*w + 2. Let z be m(4). Suppose 2*y = z, b - 3*y + 517 = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 172, 204, 194, 136?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 17, -3 in decreasing order.\nAnswer: 17, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 19*b**2 + 5*b - 4. What is o(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 865 and 620315?\nAnswer: 107314495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 10. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 5246013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 6*m - 27533. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**4 - j**3 + j**2 - 1. Let v(x) = 28*x**4 - 16*x**3 + 16*x**2 - 8. Let u(q) = -16*h(q) + v(q). Differentiate u(i) with respect to i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 15. Let j(k) = 39*k**2 - 1. Let z be j(-1). Suppose -8*g = -6*g - z. Solve -3*s - d - 3*d - g = 0, -r*s = -4*d - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1592, -1649, -1706, -1763?\n\"Answer: -57*k - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1539) + sqrt(1539)*2 + 3 - (sqrt(76)\/sqrt(4) + 2 + 5)).\nAnswer: -24 + 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 13, -3, 4.\nAnswer: -30, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 795862 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 26*l**2 + 4*l - 105. Calculate q(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9438\/63059 or 1?\nAnswer: -9438\/63059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6909 divided by -987.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 126363*u - 126361*u = 0, -l = -2*u + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -3.5. Let g = 1.5 + -1. Which is the closest to 0.08? (a) g (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 747, 5, -3, 11, -4, 3, -2 in descending order.\nAnswer: 747, 11, 5, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015854 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and 5185.\nAnswer: 5162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252969 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 1, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 8*h - 13. Let m be f(-10). Suppose -5*o - m = -r, 4*o = -5*r + r + 1132. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.206804 weeks?\nAnswer: 1939475059.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 5, p: 8}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -205477 (base 8) in base 3?\nAnswer: -10110211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z - 70 + 20, -4*b + 2*z - 22 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00264796897 to 7 dps.\nAnswer: -0.002648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50058.9689 - 50055. What is n rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, -2 in ascending order.\nAnswer: -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 11*y + 14*y + 10 - 43*y.\nAnswer: -6*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1318, -2649, -4004, -5395, -6834?\nAnswer: -8333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let l be 3 + -1 + 1 - q. Let f = -41\/7 + l. Which is the second biggest value? (a) f (b) -3\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18 + (-2)\/3. Let u(d) = -5*d**2 - 17 - d + 2*d**2 + 2*d**2. Give u(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5093541 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i**3 + 5*i**2 - 5*i - 6. What is the units digit of a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w = 47*w + 5. Suppose 4*n - 3*x = 7, 5*x = -n - 3 - 24. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -q - 1594, -f - 22*q + 24*q + 402 = 0. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/12)\/(2\/9). Is 2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.897597kg?\nAnswer: 6897597000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -12 - 4 - -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let v(l) = -3*l + 10*l + 0*l + 19*l. Calculate v(i(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*j**3 - 172505*i*j**2 + 6*j**3 - 31623*j**2 with respect to i.\nAnswer: 3*j**3 - 172505*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*j = -1037*j + 2122*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 5450525130?\nAnswer: 5450525121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 174 - 196. What is the first derivative of 17*v + 21*v + h*v - 65 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*w + 3*w - 19*w)*(w + 4 - 4) + (3*w - 6*w + w)*(3*w - 2*w + w) to d*w**2 + a + o*w and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3255)\/5642)\/((-10)\/8)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-4 + (-3 - -5) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11110010?\nAnswer: 11110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (2812 - ((-42)\/7 + 11))\/1 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 8:28 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 8*f**2 + 7*f. Let n(y) = y**2 - y. Calculate 5*n(l) + u(l).\nAnswer: 2*l**3 - 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145236 = 5232*i + 354*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*w + 2. Let z(o) = -9*o - 59. Let l be z(w). Which is the nearest to 1\/51? (a) -3 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42983 (base 12) to base 7.\nAnswer: -513651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156652 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 12 + 3*o**2 + 20 + o**4 - 2*o**3 to the form x*o**4 + s + g*o**3 + q*o**2 + c*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35173208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c02 + 45?\nAnswer: -3bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662 divided by 732.\nAnswer: 331\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - -119 - 2\/(-2). Suppose -192 = -3*t - j, -2*t + j = 3*j - v. Calculate the highest common factor of t and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103183 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-14) - (-18)\/7. Find the third derivative of -20*l**2 - 3*l**2 + 8*l**2 - 3*l**p + 17*l**3 wrt l.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Suppose 4*d = r, -4*r = -2*d - 46 + 18. Solve -d*q + 10 = -3*o, 5*q - 2*o = -w*o + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9534.966km to micrometers.\nAnswer: 9534966000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 62, 154, 274, 416, 574, 742, 914?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*y**3 - 2*n**2*y**2 + 156*n**2 wrt y.\nAnswer: 9*n**2*y**2 - 4*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 2. Suppose -597 = -8*w - 189. Calculate the remainder when w is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 470, 918, 1366, 1814, 2262, 2710?\n\"Answer: 448*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/5 - 5*o**4\/6 - 18*o. Find the third derivative of x(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - 5\/(-10). Let v(x) = -1 + 17*x + 2 - 11*x. What is v(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*(sqrt(891) + -1 + -2) + -3*(1 + sqrt(891) + 2))**2 + -4)*-5.\nAnswer: -1445020 + 29160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 336960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 528576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -dca (base 15) to base 6\nAnswer: -22231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.012 and -189.2.\nAnswer: -2.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l + 3. Let p = -44 + 82. Suppose -p*y + 33 = -27*y. Calculate b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2262.2 - -2259.88. Which is the third smallest value? (a) 0.3 (b) -2\/7 (c) -3\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24272735.\nAnswer: 5, 4854547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 q when three letters picked without replacement from kkqk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13202 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/45)\/(((-49)\/(-105)*-12)\/(-1)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -21\/5*l - 20 + 1\/5*l**2 = 0. What is l?\nAnswer: -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 29. Let a be ((-66)\/(-24))\/((-2)\/(-8)) + -2. What is the tens digit of u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 2*w**3 + w**2 - 1 in the form m*w**2 + b*w**3 + s*w + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-24) - -1) + -3. What is the nearest to -2\/13 in w, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 2*o**2 - 3*o**2 + 8*o to the form w*o**2 + l + k*o and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34166641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(19\/((-9177)\/9)).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t**2. Let v(a) = -246323*a**2. Determine v(w(l)).\nAnswer: -48279308*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m**2 - m**3 + 2*m**2 + 1 - 5*m. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -1 (d) 0.06 (e) 0 (f) -5\/468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(50))\/sqrt(10) + 0 + sqrt(40)\/(-2*sqrt(8)))**2.\nAnswer: 605\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*a = -561*a - 150*a + 11480 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3040 - -3065. What is the greatest common divisor of 1850 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 913 (b) 2 (c) 0 (d) -2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*u + 196*u + 183*u + 4*u as v*u + a and give v.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*k + 12, 5*m = -0*k - 4*k + 38. What is the lowest common multiple of 10 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 22. Let o be (4\/w)\/((-3)\/15). Sort -1, 3, o in decreasing order.\nAnswer: 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -84927 (c) 4 (d) 1\/2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571099861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 28096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 9*j**2 + 16*j - 10. Calculate r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4 - -2 - -6) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45e - 38c?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2090 - 10*v - 2090. Let c(x) = 13*x**2. Calculate c(b(q)).\nAnswer: 1300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-484) + 3521\/(-11). Let q = -282 - s. Sort q, -3, 5, 1.\nAnswer: -3, 1, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2 - 32*o**2 - o + 105*o**2 + 1. Let x be s(-1). Suppose 4*h + 2*n = 54, 5*h - 2*n - x = n. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.07 + -5. Let v = 0.03 + z. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*m - 2*m + 261, 0 = -3*m - 3*k - 249. Let x be 2*m\/308 - 4\/(-14). What is the second smallest value in x, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -7*m**6\/40 - m**5\/10 - m**4\/4 - m**3\/3 - 23*m**2. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -2\/3, 3, -114, -19?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 471 - 800 = 0. Let s = q + 83. Are s and -247 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*1 + 4)**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6.1. Let z = 0.4 - j. Put -4\/3, z, 1 in descending order.\nAnswer: 1, z, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2181386648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Let q = i + -7\/3. Let o = 3 + -8. What is the third biggest value in o, -3, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 minus -0.2686226?\nAnswer: 0.6386226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -583.87 and 5884972.\nAnswer: 5884388.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 2993298.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (-3 + (8 - 4))) + -13 + 0 + 4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9364 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13326, -26750, -40174, -53598?\n\"Answer: -13424*z + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 10:34 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2. Let f(z) be the third derivative of z**5\/24 + z**3\/6 - 11*z**2. Let x(c) be the first derivative of f(c). Calculate a(x(b)).\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/6240*(-7)\/35*-65?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**7*j**(-11) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 205350 divided by 8214\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1452 + -1452.4. Let h = 19 - 11. Let q = h - 11. Sort x, q, 4 in ascending order.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 15) in base 9?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97512.03 months?\nAnswer: 81.260025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + z. Let u(f) = 2*f**3 - 3*f**2 - 16*f. Let n(i) = -3*s(i) + u(i). What is the second derivative of n(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*(-1 + sqrt(320)) + 0) + 1)**2.\nAnswer: -13920*sqrt(5) + 288841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 6}. Give prob of sequence jjvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8713, 8578, 8443, 8308, 8173, 8038?\n\"Answer: -135*f + 8848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3301 (base 4) to base 7.\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from bbpvbvb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2432, -2344, -2198, -1994, -1732?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*q = -131, -6*c + 629 = -c + 3*q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/4 of a century in years?\nAnswer: 575","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let 1186*p**2\/7 - 7118*p\/7 + 12\/7 = 0. Calculate p.\nAnswer: 1\/593, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i**2 + 6*i + 3. Let r be z(-6). Let j be 4\/r*(-27)\/6. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + 1 + sqrt(76)*-1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -38*y**2 - 1751*y - 28. What are the prime factors of h(-43)?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -401, -399, -397?\n\"Answer: 2*d - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -180\/22499 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t + 172 = 0. Let k(q) = -q**2 + 85*q - t*q + 6 + 7. Determine k(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 335*d**2. Let q(k) = 116*k**2 + 576*k. Let c(h) = 18*h**2 + 90*h. Let n(z) = 32*c(z) - 5*q(z). Calculate n(v(x)).\nAnswer: -448900*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.851458 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 + 14 = -l. Suppose a = k + l, -3*k + 795 = 5*a - 179. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 + 5*y - 4. Let a be u(5). Let p = 6 + -3. Suppose 2*j - 5 = -p*j. Sort 2, j, a.\nAnswer: a, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 58*q**2 - 144*q + 217. Is h(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 4. Let m be w(-3). Suppose -2*n + 2*k = 4, -3*n + m = 2*k - 3. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3054408 divided by -436344\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76076 and 3784.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64619240 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 43*w - 67*w = -118*w - 32, p + 2*w + 8 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 12, 18, 24, 30?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/7 - 3*j**2 + 522*j\/7 - 1296\/7.\nAnswer: -3*(j - 8)*(j - 3)*(j + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2014182 and 3516102.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-5500))\/(140\/(-350)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/119)\/((-16)\/(-28))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 21, 10, -5, -24, -47?\n\"Answer: -2*t**2 - t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {y: 2, z: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let q be (-21)\/36 - (-3)\/12. Which is the biggest value? (a) -4 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1940 (base 12) to base 9\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (-3 - -2). Suppose -2 = -2*h + 5*r - 7, -2*r = -6. Suppose 2*g - 51 = -3*w + 2*w, 247 = h*w + p*g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57299340 divided by 1364270?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93251.16 + 93251.54499032. Let n = v - 0.385. What is n rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/106)\/((-80)\/(-16))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -59*n**2 + 7*n - 8. Suppose 0 = -3*g + 3 + 33. Let b be f(g). Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 68 = -4*g + d, d = -5*g - 104. Let r = g + 20. Solve 4*c + 20 = r, 0*c + 8 = -w - c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -264, -615, -1106, -1737, -2508?\nAnswer: -3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(((-4)\/(-40))\/(66\/(-715)))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + 14\/(-21) + 1180\/924?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*m + 15 = 0, 2*l + 2*m = -11 + 35. Let v be 10\/(-18) - (-5)\/15. Suppose 12 = 6*u - 0. Sort -1, l, v, u in increasing order.\nAnswer: -1, v, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23680473.\nAnswer: 3, 17, 311, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - (-2 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b)*(-b**3 + 3*b**3 - 3*b**3) + 3*b**4 + b**4 - 3*b**4 + (-10 + 16 + 39)*(-4*b**4 - 2*b**4 + 2*b**4).\nAnswer: -181*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - 2) - (10 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39f - a985?\nAnswer: -a5e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239324 is divided by 119161?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 253, 2\/5, 7, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6*u + 3*u + 12427, -5*u = -4*w - 20741. Suppose -4*v - u = 2095. Let x be (-165)\/2*v\/(-9). What is x rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -28. Let z = j - 17. Do z and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in 0.6, 0.4, -4, -2\/9, -0.01?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 76 = -2*m, -5*m = 5*c - 0*c - 175. What is the common denominator of (-1)\/2700*33*(-24)\/m and -63\/22?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2483 = -8587. Factor -15*k**2 + 6104*k + 95*k**3 - 30*k**3 - u*k.\nAnswer: 5*k**2*(13*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + (-2*sqrt(121))\/sqrt(11)) + 5*(1*sqrt(11)*-3)**2.\nAnswer: 5*sqrt(11) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -17. What is the remainder when 160 is divided by (-166)\/(-12)*2 - g\/(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 48*b**2 - 19*b + 1088. Determine u(48).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.15 + -41.85. Let l = 1.3 - i. What is l rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4.71\nAnswer: -14.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 + 217. Let c(j) = -j**2 + 13*j + 20. Let f be c(12). Calculate the greatest common divisor of r and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3954\/(-35) + -6842 + 6955\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198*w + 33 wrt w?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -1*(-1 - -2). Let g be (d - 3)\/(3 + -4). Solve 3*c - 3 = -3*f, g*c + 2 - 16 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.2, -1\/4, 10.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(77\/(-182))*(-2223)\/(-26) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -880, -877, -872, -865?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q*q)**(-20)*(((q*q*(q*q\/((q*q**(-4))\/q*q))\/q)\/q)\/q)\/(q**7*q) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 62*u**3 - 6*u**2 + 12*u - 11. Determine r(2).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}